kings_dream.py

Created by vnap0v

Created on June 12, 2025

661 Bytes

King’s Dream Fractal

This script draws the fractal defined by iterating the x,y values through the following function

    x = sin(a*x) + b*sin(a*y)
    y = sin(c*x) + d*sin(c*y)

with constants of

    a = 2.879879
    b = -0.765145
    c = -0.966918
    d = 0.744728

and initial values of x=2, y=0

At each point x,y the screen color is retrieved and increased The script uses the kandinsky and math libraries. Tested on the calculator using software version 23.2.6.

import kandinsky
from math import *
a = 2.879879# constants 
b = -0.765145
c = -0.966918
d = 0.744728

def draw_fractal(N=100000):
  x,y=2.0,2.0 # initial values
  kandinsky.fill_rect(0,0,320,230,"black")
  for _ in range(N):
      x,y=sin(a*x)+b*sin(a*y),sin(c*x)+d*sin(c*y)
      xscr=int(300*(x+2)/4+10)
      yscr=int(220*(y+2)/4+10)
      pr,pg,pb=kandinsky.get_pixel(xscr,yscr)
      pr+=30;pg+=10;pb+=50 # increase color
      pr=min(255,pr) # clip color
      pg=min(255,pg)
      pb=min(255,pb)
      kandinsky.set_pixel(xscr,yscr,(pr,pg,pb))
  kandinsky.draw_string("King's Dream Fractal",10,5,(180,127,255),"black")

draw_fractal()