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* Hexagonal number sequence A hexagonal number sequence is a sequence of figurate numbers where the nth hexagonal number hₙ is the number of distinct dots in a pattern of dots consisting of the outlines of regular hexagons with sides up to n dots, when the hexagons are overlaid so that they share one vertex. This program returns the hexagonal number sequence of n length. * Update hexagonalnumbers.py * Update hexagonalnumbers.py * Update hexagonalnumbers.py * Update hexagonalnumbers.py * Update and rename hexagonalnumbers.py to hexagonal_numbers.py * Length must be a positive integer * Create dodecahedron.py * Update dodecahedron.py * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Update dodecahedron.py * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Update dodecahedron.py * Update dodecahedron.py * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Update dodecahedron.py * Update dodecahedron.py * Apply suggestions from code review Co-authored-by: Paul <56065602+ZeroDayOwl@users.noreply.github.com> * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Apply suggestions from code review * Update dodecahedron.py Co-authored-by: Christian Clauss <cclauss@me.com> Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com> Co-authored-by: Paul <56065602+ZeroDayOwl@users.noreply.github.com>
74 lines
2.1 KiB
Python
74 lines
2.1 KiB
Python
# dodecahedron.py
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"""
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A regular dodecahedron is a three-dimensional figure made up of
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12 pentagon faces having the same equal size.
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"""
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def dodecahedron_surface_area(edge: float) -> float:
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"""
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Calculates the surface area of a regular dodecahedron
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a = 3 * ((25 + 10 * (5** (1 / 2))) ** (1 / 2 )) * (e**2)
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where:
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a --> is the area of the dodecahedron
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e --> is the length of the edge
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reference-->"Dodecahedron" Study.com
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<https://study.com/academy/lesson/dodecahedron-volume-surface-area-formulas.html>
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:param edge: length of the edge of the dodecahedron
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:type edge: float
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:return: the surface area of the dodecahedron as a float
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Tests:
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>>> dodecahedron_surface_area(5)
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516.1432201766901
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>>> dodecahedron_surface_area(10)
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2064.5728807067603
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>>> dodecahedron_surface_area(-1)
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Traceback (most recent call last):
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...
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ValueError: Length must be a positive.
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"""
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if edge <= 0 or not isinstance(edge, int):
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raise ValueError("Length must be a positive.")
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return 3 * ((25 + 10 * (5 ** (1 / 2))) ** (1 / 2)) * (edge**2)
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def dodecahedron_volume(edge: float) -> float:
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"""
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Calculates the volume of a regular dodecahedron
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v = ((15 + (7 * (5** (1 / 2)))) / 4) * (e**3)
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where:
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v --> is the volume of the dodecahedron
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e --> is the length of the edge
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reference-->"Dodecahedron" Study.com
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<https://study.com/academy/lesson/dodecahedron-volume-surface-area-formulas.html>
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:param edge: length of the edge of the dodecahedron
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:type edge: float
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:return: the volume of the dodecahedron as a float
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Tests:
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>>> dodecahedron_volume(5)
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957.8898700780791
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>>> dodecahedron_volume(10)
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7663.118960624633
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>>> dodecahedron_volume(-1)
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Traceback (most recent call last):
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...
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ValueError: Length must be a positive.
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"""
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if edge <= 0 or not isinstance(edge, int):
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raise ValueError("Length must be a positive.")
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return ((15 + (7 * (5 ** (1 / 2)))) / 4) * (edge**3)
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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