sierpinski.py

Created by cpaulof
Created on February 16, 2023
1.38 KB
Desenha a teia(triângulo) de Sierpinski.
# Título #####################################################
#
#   Sierpinski V 16-02-2023
#   
##############################################################
#
#  Carlos Paulo A. Freitas (cpaulof@gmail.com)
#  https://zonaexacta.blogspot.com
#  https://sites.google.com/view/cpaulof-prog-calc
#
############################################################## 
import time
import random
import kandinsky
from math import *
#Cores: vou deixar 8 cores
F=255
cores = [
 [0,0,0], #0 preto
 [F,F,F], #1 branco
 [F,0,0], #2 vermelho
 [0,F,0], #3 verde
 [0,0,F], #4 azul
 [F,0,F], #5 violeta
 [F,F,0], #6 vermelho+verde=
 [0,F,F], #7
 [204,153,0] #8
]
C,S=cos(pi/6),sin(pi/6)
vertices=[
  [C,-S],
  [0,1],
  [-C,-S]
  ]
LARGURA=320
ALTURA=220
U=LARGURA/ALTURA
A=1.5
X_MIN =-A*U/2
X_MAX =A*U/2
Y_MIN =-0.5
Y_MAX =1
################################
def plot(x,y,cor):
  c = int(LARGURA*((x - X_MIN)/(X_MAX - X_MIN))) 
  l = int(ALTURA*(1-(y - Y_MIN)/(Y_MAX - Y_MIN))) 
  if(0 <= l < ALTURA):
    if(0 <= c < LARGURA):
      col = kandinsky.color(cores[cor][0],cores[cor][1],cores[cor][2])
      kandinsky.set_pixel(c,l,col)
################################
kandinsky.fill_rect(0,0,LARGURA,ALTURA+20,cores[0])
x = 0 #random.random()
y = 1 #random.random()
cor = random.randint(1,8)
for i in range(10000):
  n = random.randint(0,2)
  x,y =0.5*(x+vertices[n][0]),0.5*(y+vertices[n][1])
  plot(x,y,cor)