Pythagoras tree
require('Imager')
func tree(img, x1, y1, x2, y2, depth) {
depth <= 0 && return()
var dx = (x2 - x1)
var dy = (y1 - y2)
var x3 = (x2 - dy)
var y3 = (y2 - dx)
var x4 = (x1 - dy)
var y4 = (y1 - dx)
var x5 = (x4 + 0.5*(dx - dy))
var y5 = (y4 - 0.5*(dx + dy))
# square
img.polygon(
points => [
[x1, y1],
[x2, y2],
[x3, y3],
[x4, y4],
],
color => [0, 255/depth, 0],
)
# triangle
img.polygon(
points => [
[x3, y3],
[x4, y4],
[x5, y5],
],
color => [0, 255/depth, 0],
)
tree(img, x4, y4, x5, y5, depth - 1)
tree(img, x5, y5, x3, y3, depth - 1)
}
var (width=1920, height=1080)
var img = %O<Imager>.new(xsize => width, ysize => height)
img.box(filled => 1, color => 'white')
tree(img, width/2.3, height, width/1.8, height, 10)
img.write(file => 'pythagoras_tree.png')
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