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Update volume.py with volume of Icosahedron (#9628)

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* Update volume.py with volume of Icosahedron

Added function to find volume of a regular Icosahedron

* [pre-commit.ci] auto fixes from pre-commit.com hooks

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* Apply suggestions from code review

* Update volume.py

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Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Tianyi Zheng <tianyizheng02@gmail.com>
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Yousha Mahamuni 2023-10-16 08:17:27 +05:30 committed by GitHub
parent 1a26d76c60
commit cc0405d05c
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maths/volume.py
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@ -469,6 +469,35 @@ def vol_torus(torus_radius: float, tube_radius: float) -> float:
return 2 * pow(pi, 2) * torus_radius * pow(tube_radius, 2) return 2 * pow(pi, 2) * torus_radius * pow(tube_radius, 2)
def vol_icosahedron(tri_side: float) -> float:
"""Calculate the Volume of an Icosahedron.
Wikipedia reference: https://en.wikipedia.org/wiki/Regular_icosahedron
>>> from math import isclose
>>> isclose(vol_icosahedron(2.5), 34.088984228514256)
True
>>> isclose(vol_icosahedron(10), 2181.694990624912374)
True
>>> isclose(vol_icosahedron(5), 272.711873828114047)
True
>>> isclose(vol_icosahedron(3.49), 92.740688412033628)
True
>>> vol_icosahedron(0)
0.0
>>> vol_icosahedron(-1)
Traceback (most recent call last):
...
ValueError: vol_icosahedron() only accepts non-negative values
>>> vol_icosahedron(-0.2)
Traceback (most recent call last):
...
ValueError: vol_icosahedron() only accepts non-negative values
"""
if tri_side < 0:
raise ValueError("vol_icosahedron() only accepts non-negative values")
return tri_side**3 * (3 + 5**0.5) * 5 / 12
def main(): def main():
"""Print the Results of Various Volume Calculations.""" """Print the Results of Various Volume Calculations."""
print("Volumes:") print("Volumes:")
@ -489,6 +518,7 @@ def main():
print( print(
f"Hollow Circular Cylinder: {vol_hollow_circular_cylinder(1, 2, 3) = }" f"Hollow Circular Cylinder: {vol_hollow_circular_cylinder(1, 2, 3) = }"
) # ~= 28.3 ) # ~= 28.3
print(f"Icosahedron: {vol_icosahedron(2.5) = }") # ~=34.09
if __name__ == "__main__": if __name__ == "__main__":