VALENCIA Four-Component Hypercube Embeddings

This lightweight package article demonstrates the zero-aware homogeneous coordinate embedding implemented by linf.hypercube.embedding() on a bundled VALENCIA-derived example dataset. The source object, valencia_linf_hypercube_1k, is generated by data-raw/build_valencia_linf_hypercube_1k.R from the VALENCIA 13k training set. It keeps four phylotype coordinates,

library(linf)

candidate_roots <- normalizePath(c(file.path("..", ".."), "."), mustWork = FALSE)
pkg_root <- candidate_roots[file.exists(file.path(candidate_roots, "DESCRIPTION"))][1]
if (!exists("linf.hypercube.embedding", mode = "function") &&
    requireNamespace("pkgload", quietly = TRUE) &&
    !is.na(pkg_root)) {
  pkgload::load_all(pkg_root, quiet = TRUE)
}

local_data_path <- file.path("..", "..", "data", "valencia_linf_hypercube_1k.rda")
if (file.exists(local_data_path)) {
  load(local_data_path)
} else if (file.exists(file.path("data", "valencia_linf_hypercube_1k.rda"))) {
  load(file.path("data", "valencia_linf_hypercube_1k.rda"))
} else {
  data(valencia_linf_hypercube_1k, package = "linf")
}

valencia_linf_hypercube_1k$component_map
#>                        Li                        Lc                        Gv 
#>     "Lactobacillus_iners" "Lactobacillus_crispatus"   "Gardnerella_vaginalis" 
#>                        Bv 
#>                   "BVAB1"

and L1-normalizes each sample over these four selected components. The resulting matrix is four-dimensional and compositional. For each reference component, the hypercube embedding gives a three-dimensional zero-aware homogeneous coordinate chart.

X4 <- valencia_linf_hypercube_1k$rel4
meta <- valencia_linf_hypercube_1k$meta

dim(X4)
#> [1] 1000    4
round(colSums(X4) / nrow(X4), 3)
#>    Li    Lc    Gv    Bv 
#> 0.370 0.315 0.261 0.053
table(meta$dominant_component)
#> 
#>  Li  Lc  Gv  Bv 
#> 366 321 257  56
table(meta$Val_CST)
#> 
#>    I   II  III IV-A IV-B IV-C    V 
#>  287   30  309   66  226   51   31

Embedding Helpers

The figures below use two interactive three-dimensional views.

1. Classical MDS embeds the Euclidean distance matrix into three dimensions.
2. If the optional grip package is available, edge-KK starts from the MDS coordinates and refines the layout using a local k-nearest-neighbor graph whose edge lengths are measured in the source coordinate system.

if (!requireNamespace("plotly", quietly = TRUE)) {
  stop("This article preview requires the plotly package.")
}
if (!requireNamespace("htmltools", quietly = TRUE)) {
  stop("This article preview requires the htmltools package.")
}

has_grip <- requireNamespace("grip", quietly = TRUE)
edge_kk_fun <- NULL
if (has_grip && exists("grip.optimize.edge.kk.layout", envir = asNamespace("grip"))) {
  edge_kk_fun <- getFromNamespace("grip.optimize.edge.kk.layout", "grip")
}

mds3 <- function(X) {
  d <- stats::dist(X)
  fit <- stats::cmdscale(d, k = 3, eig = TRUE)
  coords <- as.matrix(fit$points)
  colnames(coords) <- c("Dim1", "Dim2", "Dim3")
  coords
}

knn_edges <- function(X, k = 8L) {
  D <- as.matrix(stats::dist(X))
  n <- nrow(D)
  edges <- vector("list", n)
  weights <- vector("list", n)

  for (i in seq_len(n)) {
    ord <- order(D[i, ], decreasing = FALSE)
    nbrs <- ord[ord != i][seq_len(min(k, n - 1L))]
    keep <- nbrs > i
    if (any(keep)) {
      nbrs <- nbrs[keep]
      edges[[i]] <- cbind(i, nbrs)
      weights[[i]] <- D[cbind(i, nbrs)]
    }
  }

  edge_matrix <- do.call(rbind, edges[lengths(edges) > 0L])
  edge_weights <- unlist(weights[lengths(weights) > 0L], use.names = FALSE)

  list(edges = edge_matrix, weights = pmax(edge_weights, .Machine$double.eps))
}

edge_kk3 <- function(X, initial, k = 8L, max_iter = 20L) {
  if (is.null(edge_kk_fun)) {
    return(NULL)
  }

  graph <- knn_edges(X, k = k)
  out <- edge_kk_fun(
    coords = initial,
    edges = graph$edges,
    n = nrow(X),
    edge_weights = graph$weights,
    dim = 3L,
    max_iter = max_iter,
    return_trace = FALSE,
    diagnostics = FALSE,
    seed = 1L
  )

  coords <- as.matrix(out$coords)
  colnames(coords) <- c("Dim1", "Dim2", "Dim3")
  coords
}

plot_embedding <- function(coords, title, subtitle) {
  df <- data.frame(
    coords,
    dominant_component = meta$dominant_component,
    Val_CST = meta$Val_CST,
    selected_mass = meta$selected_mass,
    sample_id = meta$sample_id,
    stringsAsFactors = FALSE
  )

  hover <- paste0(
    "sample: ", df$sample_id,
    "<br>dominant: ", df$dominant_component,
    "<br>Val_CST: ", df$Val_CST,
    "<br>selected mass: ", signif(df$selected_mass, 4)
  )

  p <- plotly::plot_ly(
    df,
    x = ~Dim1,
    y = ~Dim2,
    z = ~Dim3,
    color = ~dominant_component,
    symbol = ~Val_CST,
    text = hover,
    hoverinfo = "text",
    type = "scatter3d",
    mode = "markers",
    marker = list(size = 3, opacity = 0.75)
  )

  plotly::layout(
    p,
    title = list(text = paste0(title, "<br><sup>", subtitle, "</sup>")),
    scene = list(
      xaxis = list(title = "Dim 1"),
      yaxis = list(title = "Dim 2"),
      zaxis = list(title = "Dim 3")
    ),
    legend = list(orientation = "h")
  )
}

embedding_panel <- function(label, X, reference = NULL) {
  title <- if (is.null(reference)) {
    paste0(label, ": 4D composition")
  } else {
    paste0(label, ": reference ", reference)
  }

  mds_coords <- mds3(X)
  widgets <- list(
    htmltools::tags$h3(paste0(title, " -- classical MDS")),
    plot_embedding(
      mds_coords,
      title = paste0(title, " -- MDS"),
      subtitle = "Classical MDS of Euclidean distances in the source coordinates."
    )
  )

  kk_coords <- edge_kk3(X, mds_coords)
  if (!is.null(kk_coords)) {
    widgets <- c(
      widgets,
      list(
        htmltools::tags$h3(paste0(title, " -- edge-KK")),
        plot_embedding(
          kk_coords,
          title = paste0(title, " -- edge-KK"),
          subtitle = "MDS initialization refined on an 8-nearest-neighbor graph with source-space edge lengths."
        )
      )
    )
  } else {
    widgets <- c(
      widgets,
      list(htmltools::tags$p("Optional edge-KK layout skipped because the grip package is not available."))
    )
  }

  htmltools::tagList(widgets)
}

Four-Component Composition

This is the original four-component compositional dataset before choosing a homogeneous-coordinate reference component.

embedding_panel("VALENCIA four-component data", X4)
#> Warning: The shape palette can deal with a maximum of 6 discrete values because more
#> than 6 becomes difficult to discriminate
#> ℹ you have requested 7 values. Consider specifying shapes manually if you need
#>   that many of them.
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open

VALENCIA four-component data: 4D composition -- classical MDS

Optional edge-KK layout skipped because the grip package is not available.

Hypercube Embeddings

The four panels below show the zero-aware hypercube chart obtained by taking each component in turn as the reference coordinate.

panels <- lapply(colnames(X4), function(ref) {
  emb <- linf.hypercube.embedding(X4, reference = ref)
  embedding_panel("Hypercube embedding", emb, reference = ref)
})

htmltools::tagList(panels)
#> Warning: The shape palette can deal with a maximum of 6 discrete values because more
#> than 6 becomes difficult to discriminate
#> ℹ you have requested 7 values. Consider specifying shapes manually if you need
#>   that many of them.
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open
#> Warning: The shape palette can deal with a maximum of 6 discrete values because more
#> than 6 becomes difficult to discriminate
#> ℹ you have requested 7 values. Consider specifying shapes manually if you need
#>   that many of them.
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open
#> Warning: The shape palette can deal with a maximum of 6 discrete values because more
#> than 6 becomes difficult to discriminate
#> ℹ you have requested 7 values. Consider specifying shapes manually if you need
#>   that many of them.
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open
#> Warning: The shape palette can deal with a maximum of 6 discrete values because more
#> than 6 becomes difficult to discriminate
#> ℹ you have requested 7 values. Consider specifying shapes manually if you need
#>   that many of them.
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open
#> Warning: The following are not valid symbol codes:
#> 'NA'
#> Valid symbols include:
#> '0', '0', 'circle', '100', '100', 'circle-open', '200', '200', 'circle-dot', '300', '300', 'circle-open-dot', '1', '1', 'square', '101', '101', 'square-open', '201', '201', 'square-dot', '301', '301', 'square-open-dot', '2', '2', 'diamond', '102', '102', 'diamond-open', '202', '202', 'diamond-dot', '302', '302', 'diamond-open-dot', '3', '3', 'cross', '103', '103', 'cross-open', '203', '203', 'cross-dot', '303', '303', 'cross-open-dot', '4', '4', 'x', '104', '104', 'x-open', '204', '204', 'x-dot', '304', '304', 'x-open-dot', '5', '5', 'triangle-up', '105', '105', 'triangle-up-open', '205', '205', 'triangle-up-dot', '305', '305', 'triangle-up-open-dot', '6', '6', 'triangle-down', '106', '106', 'triangle-down-open', '206', '206', 'triangle-down-dot', '306', '306', 'triangle-down-open-dot', '7', '7', 'triangle-left', '107', '107', 'triangle-left-open', '207', '207', 'triangle-left-dot', '307', '307', 'triangle-left-open-dot', '8', '8', 'triangle-right', '108', '108', 'triangle-right-open', '208', '208', 'triangle-right-dot', '308', '308', 'triangle-right-open-dot', '9', '9', 'triangle-ne', '109', '109', 'triangle-ne-open', '209', '209', 'triangle-ne-dot', '309', '309', 'triangle-ne-open-dot', '10', '10', 'triangle-se', '110', '110', 'triangle-se-open', '210', '210', 'triangle-se-dot', '310', '310', 'triangle-se-open-dot', '11', '11', 'triangle-sw', '111', '111', 'triangle-sw-open', '211', '211', 'triangle-sw-dot', '311', '311', 'triangle-sw-open-dot', '12', '12', 'triangle-nw', '112', '112', 'triangle-nw-open', '212', '212', 'triangle-nw-dot', '312', '312', 'triangle-nw-open-dot', '13', '13', 'pentagon', '113', '113', 'pentagon-open', '213', '213', 'pentagon-dot', '313', '313', 'pentagon-open-dot', '14', '14', 'hexagon', '114', '114', 'hexagon-open', '214', '214', 'hexagon-dot', '314', '314', 'hexagon-open-dot', '15', '15', 'hexagon2', '115', '115', 'hexagon2-open', '215', '215', 'hexagon2-dot', '315', '315', 'hexagon2-open-dot', '16', '16', 'octagon', '116', '116', 'octagon-open', '216', '216', 'octagon-dot', '316', '316', 'octagon-open-dot', '17', '17', 'star', '117', '117', 'star-open', '217', '217', 'star-dot', '317', '317', 'star-open-dot', '18', '18', 'hexagram', '118', '118', 'hexagram-open', '218', '218', 'hexagram-dot', '318', '318', 'hexagram-open-dot', '19', '19', 'star-triangle-up', '119', '119', 'star-triangle-up-open', '219', '219', 'star-triangle-up-dot', '319', '319', 'star-triangle-up-open-dot', '20', '20', 'star-triangle-down', '120', '120', 'star-triangle-down-open', '220', '220', 'star-triangle-down-dot', '320', '320', 'star-triangle-down-open-dot', '21', '21', 'star-square', '121', '121', 'star-square-open', '221', '221', 'star-square-dot', '321', '321', 'star-square-open-dot', '22', '22', 'star-diamond', '122', '122', 'star-diamond-open', '222', '222', 'star-diamond-dot', '322', '322', 'star-diamond-open-dot', '23', '23', 'diamond-tall', '123', '123', 'diamond-tall-open', '223', '223', 'diamond-tall-dot', '323', '323', 'diamond-tall-open-dot', '24', '24', 'diamond-wide', '124', '124', 'diamond-wide-open', '224', '224', 'diamond-wide-dot', '324', '324', 'diamond-wide-open-dot', '25', '25', 'hourglass', '125', '125', 'hourglass-open', '26', '26', 'bowtie', '126', '126', 'bowtie-open', '27', '27', 'circle-cross', '127', '127', 'circle-cross-open', '28', '28', 'circle-x', '128', '128', 'circle-x-open', '29', '29', 'square-cross', '129', '129', 'square-cross-open', '30', '30', 'square-x', '130', '130', 'square-x-open', '31', '31', 'diamond-cross', '131', '131', 'diamond-cross-open', '32', '32', 'diamond-x', '132', '132', 'diamond-x-open', '33', '33', 'cross-thin', '133', '133', 'cross-thin-open', '34', '34', 'x-thin', '134', '134', 'x-thin-open', '35', '35', 'asterisk', '135', '135', 'asterisk-open', '36', '36', 'hash', '136', '136', 'hash-open', '236', '236', 'hash-dot', '336', '336', 'hash-open-dot', '37', '37', 'y-up', '137', '137', 'y-up-open', '38', '38', 'y-down', '138', '138', 'y-down-open', '39', '39', 'y-left', '139', '139', 'y-left-open', '40', '40', 'y-right', '140', '140', 'y-right-open', '41', '41', 'line-ew', '141', '141', 'line-ew-open', '42', '42', 'line-ns', '142', '142', 'line-ns-open', '43', '43', 'line-ne', '143', '143', 'line-ne-open', '44', '44', 'line-nw', '144', '144', 'line-nw-open', '45', '45', 'arrow-up', '145', '145', 'arrow-up-open', '46', '46', 'arrow-down', '146', '146', 'arrow-down-open', '47', '47', 'arrow-left', '147', '147', 'arrow-left-open', '48', '48', 'arrow-right', '148', '148', 'arrow-right-open', '49', '49', 'arrow-bar-up', '149', '149', 'arrow-bar-up-open', '50', '50', 'arrow-bar-down', '150', '150', 'arrow-bar-down-open', '51', '51', 'arrow-bar-left', '151', '151', 'arrow-bar-left-open', '52', '52', 'arrow-bar-right', '152', '152', 'arrow-bar-right-open', '53', '53', 'arrow', '153', '153', 'arrow-open', '54', '54', 'arrow-wide', '154', '154', 'arrow-wide-open

Hypercube embedding: reference Li -- classical MDS

Optional edge-KK layout skipped because the grip package is not available.

Hypercube embedding: reference Lc -- classical MDS

Optional edge-KK layout skipped because the grip package is not available.

Hypercube embedding: reference Gv -- classical MDS

Optional edge-KK layout skipped because the grip package is not available.

Hypercube embedding: reference Bv -- classical MDS

Optional edge-KK layout skipped because the grip package is not available.

Reproducibility Notes

The bundled dataset is intentionally small enough to ship with linf. It is created from the VALENCIA 13k source matrix by:

1. selecting Li, Lc, Gv, and Bv;
2. dropping rows with zero total mass in these four selected components;
3. L1-normalizing over the selected components;
4. stratifying by the dominant selected component; and
5. sampling 1,000 rows with set.seed(20261604).

The four hypercube charts are generated at render time using linf.hypercube.embedding(), so this article previews both the bundled data and the exported embedding API.