Sierpinski curve: Difference between revisions

Line 1,298:

Offsite image at [https://github.com/rupertrussell/sierpinski_curve/blob/main/Sierpinski_Curve_Level6.png Sierpinski_Curve_Level6.png]

Offsite image at [https://github.com/rupertrussell/sierpinski_curve/blob/main/sierpinski_curve.gif level 5 animated gif]

=={{header|Python}}==

<lang python>import numpy as np

import matplotlib.pyplot as plt

from matplotlib.colors import hsv_to_rgb as hsv

def curve(axiom, rules, angle, depth):

for _ in range(depth):

axiom = ''.join(rules[c] if c in rules else c for c in axiom)

a, x, y = 0, [0], [0]

for c in axiom:

match c:

case '+':

a += 1

case '-':

a -= 1

case 'F' | 'G':

x.append(x[-1] + np.cos(a*angle*np.pi/180))

y.append(y[-1] + np.sin(a*angle*np.pi/180))

l = len(x)

# this is very slow, but pretty colors

for i in range(l - 1):

plt.plot(x[i:i+2], y[i:i+2], color=hsv([i/l, 1, .7]))

plt.gca().set_aspect(1)

plt.show()

curve('F--XF--F--XF', {'X': 'XF+G+XF--F--XF+G+X'}, 45, 5)

#curve('F+XF+F+XF', {'X': 'XF-F+F-XF+F+XF-F+F-X'}, 90, 5)

#curve('F', {'F': 'G-F-G', 'G': 'F+G+F'}, 60, 7)

#curve('A', {'A': '+BF-AFA-FB+', 'B': '-AF+BFB+FA-'}, 90, 6)

#curve('FX+FX+', {'X': 'X+YF', 'Y': 'FX-Y'}, 90, 12)</lang>

Output in the plot window.

=={{header|Quackery}}==