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rotations_4d <- list(
cluster1 = list(
  list(plane = c(1, 2), angle = 60), # Rotation in the (1, 2) plane
  list(plane = c(3, 4), angle = 90)  # Rotation in the (3, 4) plane
  ),
cluster2 = list(
  list(plane = c(1, 3), angle = 30) # Rotation in the (1, 3) plane
  ),
cluster3 = list(
  list(plane = c(2, 4), angle = 45) # Rotation in the (2, 4) plane
  )
)

clust_data <- gen_multicluster(n = c(200, 300, 500), p = 4, k = 3,
  loc = matrix(c(
    0, 0, 0, 0,
    5, 9, 0, 0,
    3, 4, 10, 7
  ), nrow = 3, byrow = TRUE),
  scale = c(2, 5, 1),
  shape = c("gaussian", "cone", "unifcube"),
  rotation = rotations_4d,
  is_bkg = FALSE
)

langevitour(clust_data |> dplyr::select(-cluster), 
            pointSize = 2, group = clust_data$cluster)