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Euler's identity
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| #!/usr/bin/env -S uv run --script | |
| # /// script | |
| # requires-python = ">=3.13" | |
| # dependencies = [ | |
| # "numpy", | |
| # "PythonTurtle", | |
| # ] | |
| # /// | |
| # `brew install python-tk` | |
| import math | |
| import numpy | |
| from turtle import * | |
| def euler(unit): | |
| d_r_90 = math.pi / 2 | |
| arc_length = math.pi * unit | |
| unit_inv = 1 / unit | |
| penup() | |
| forward(unit) | |
| left(d_r_90) | |
| pendown() | |
| for _ in numpy.linspace(start=0, stop=arc_length, num=math.floor(arc_length)): | |
| forward(1) | |
| left(unit_inv) | |
| left(d_r_90) | |
| for _ in range(unit * 2): | |
| forward(0.5) | |
| if __name__ == '__main__': | |
| bgcolor('black') | |
| hideturtle() | |
| title("Euler's identity") | |
| speed('fastest') | |
| pencolor('green') | |
| width(2) | |
| radians() | |
| euler(100) | |
| exitonclick() |
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