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Hilbert curve
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| #!/usr/bin/env -S uv run --script | |
| # /// script | |
| # requires-python = ">=3.13" | |
| # dependencies = [ | |
| # "PythonTurtle", | |
| # ] | |
| # /// | |
| # `brew install python-tk` | |
| import argparse | |
| from turtle import * | |
| def hilbert_curve(step, parity, n): | |
| if n < 1: | |
| return | |
| angle = parity * 90 | |
| parity_neg = -parity | |
| n_1 = n - 1 | |
| left(angle) | |
| hilbert_curve(step, parity_neg, n_1) | |
| forward(step) | |
| update() | |
| right(angle) | |
| hilbert_curve(step, parity, n_1) | |
| forward(step) | |
| update() | |
| hilbert_curve(step, parity, n_1) | |
| right(angle) | |
| forward(step) | |
| update() | |
| hilbert_curve(step, parity_neg, n_1) | |
| left(angle) | |
| if __name__ == '__main__': | |
| parser = argparse.ArgumentParser() | |
| parser.add_argument( | |
| '--step', | |
| '-s', | |
| type=int, | |
| default=4, | |
| help='Step size', | |
| ) | |
| parser.add_argument( | |
| '--parity', | |
| '-p', | |
| type=float, | |
| default=1, | |
| help='Parity', | |
| ) | |
| parser.add_argument( | |
| '-n', | |
| type=int, | |
| default=8, | |
| help='N', | |
| ) | |
| args = parser.parse_args() | |
| step = args.step | |
| parity = args.parity | |
| n = args.n | |
| tracer(0, 0) | |
| bgcolor('black') | |
| hideturtle() | |
| title('Hilbert curve') | |
| speed('fastest') | |
| pencolor('green') | |
| width(2) | |
| penup() | |
| goto( | |
| step * 2 - window_width() / 2, | |
| step * 3 - window_height() / 2, | |
| ) | |
| pendown() | |
| hilbert_curve(step, parity, n) | |
| exitonclick() |
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