isocuboids eta^24

stla · Nov 16, 2023 · f13fe59 · f13fe59
1 parent 69bf3b4
commit f13fe59
Showing 1 changed file with 74 additions and 3 deletions.
diff --git a/inst/images/etaDedekind_Cayley.R b/inst/images/etaDedekind_Cayley.R
@@ -2,7 +2,7 @@ library(jacobi)
 library(RcppColors)
 
 # background color
-bkgcol <- "#ffffff"
+bkgcol <- "#ffffffff"
 
 # map the disk to H and calculate kleinj
 f <- function(x, y) {
@@ -19,7 +19,7 @@ K <- f(Grid$X, Grid$Y)^24
 dim(K) <- c(n, n)
 # plot
 if(require("RcppColors")) {
-  img <- colorMap5(K)
+  img <- colorMap5(K, bkgcolor = bkgcol)
 } else {
   img <- as.raster(1 - abs(Im(K))/Mod(K))
 }
@@ -29,7 +29,78 @@ plot(NULL, xlim = c(0, 1), ylim = c(0, 1), asp = 1,
 rasterImage(img, 0, 0, 1, 1)
 par(opar)
 
+# isocuboids fork ####
+library(isocuboids) 
+library(ggplot2)
+mat <- 1 - abs(Im(K))/Mod(K)
+colors <- as.matrix(as.raster(mat))
+colors <- colors[, ncol(colors):1L]
+mat[is.na(mat)] <- 0
+cuboid_matrix2(
+  70*mat, a1 = 45, a2 = 45, show_axes = FALSE, verbose = TRUE, 
+  cuboid_fill = c(colors)
+) + theme_void() + 
+  theme(
+    panel.background = element_rect(fill = "white", color = "white")
+  )
+ggsave(
+  "isocuboids_fork_etaDedekindOnCircle.png_gray",
+  width = 5, height = 5, dpi = 600
+)
 
+# with colors ####
+img <- colorMap5(K, bkgcolor = "white")
+colors <- mat <- as.matrix(img)
+colors <- colors[, ncol(colors):1L]
+mat <- c(mat)
+mat <- mat |> col2rgb() |> rgb2hsv()
+mat <- matrix(mat[3L, ], nrow = n, ncol = n) 
+mat[mat == 1] <- 0
+gg <- cuboid_matrix2(
+  70*mat, a1 = 45, a2 = 45, show_axes = FALSE, verbose = TRUE, 
+  cuboid_fill = c(colors)
+) + theme_void() + 
+  theme(
+    panel.background = 
+      element_rect(fill = "white", color = "white")
+  )
+ggsave(
+  "isocuboids_fork_etaDedekindOnCircle_colors.png",
+  gg, width = 5, height = 5, dpi = 600
+)
+
+# isocuboids ####
+library(isocuboids)
+mat <- 1 - abs(Im(K))/Mod(K)
+mat[is.na(mat)] <- 0
+cuboid_matrix(
+  70*mat, a1 = 45, a2 = 45, show_axes = FALSE, verbose = TRUE, 
+  cuboid_fill = trekcolors::trek_pal("klingon")
+)
+ggplot2::ggsave(
+  "isocuboids_etaDedekindOnCircle_klingon.png",
+  width = 5, height = 5, dpi = 600
+)
+
+# elevated Delaunay ####
+mat <- Arg(K) + pi
+mat[is.na(mat)] <- 0
+library(tessellation)
+pts <- expand.grid(X = 1:n, Y = 1:n)
+pts$Z <- c(mat)
+pts <- as.matrix(pts)
+del <- delaunay(pts, elevation = TRUE)
+
+# plotting
+library(rgl)
+mesh <- del[["mesh"]]
+open3d(windowRect = c(100, 100, 612, 356), zoom = 0.6)
+aspect3d(1, 1, 20)
+shade3d(mesh, color = "limegreen", polygon_offset = 1)
+
+
+
+# svg to png ####
 svg("x.svg", width = 15, height = 15)
 opar <- par(mar = c(0, 0, 0, 0))
 plot(NULL, xlim = c(0, 1), ylim = c(0, 1), asp = 1, 
@@ -38,4 +109,4 @@ rasterImage(img, 0, 0, 1, 1)
 par(opar)
 dev.off()
 
-rsvg::rsvg_png("x.svg", "etaDedekindOnCircle.png", 512, 512)
+rsvg::rsvg_png("x.svg", "zzzetaDedekindOnCircle.png", 512, 512)