PolyhedronGenus

PolyhedronGenus[poly]

多面体 poly の種数を与える.

詳細

  • PolyhedronGenusは種数としても知られている.
  • PolyhedronGenusは,多面体を不連続にすることのない,多面体の表面上の単純な非交差閉曲線に沿った切断回数の最大数を与える.

例題

すべて開くすべて閉じる

  (1)

多面体の種数:

スコープ  (3)

PolyhedronGenusは多面体に使える:

Tetrahedron

Hexahedron

穴のある多面体:

不連続成分のある多面体:

特性と関係  (3)

EulerCharacteristicを使って単純多面体のPolyhedronGenusを計算する:

凸多面体の種数は0である:

UniformPolyhedronの種数は0である:

Wolfram Research (2019), PolyhedronGenus, Wolfram言語関数, https://reference.wolfram.com/language/ref/PolyhedronGenus.html.

テキスト

Wolfram Research (2019), PolyhedronGenus, Wolfram言語関数, https://reference.wolfram.com/language/ref/PolyhedronGenus.html.

CMS

Wolfram Language. 2019. "PolyhedronGenus." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PolyhedronGenus.html.

APA

Wolfram Language. (2019). PolyhedronGenus. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PolyhedronGenus.html

BibTeX

@misc{reference.wolfram_2024_polyhedrongenus, author="Wolfram Research", title="{PolyhedronGenus}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/PolyhedronGenus.html}", note=[Accessed: 22-November-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_polyhedrongenus, organization={Wolfram Research}, title={PolyhedronGenus}, year={2019}, url={https://reference.wolfram.com/language/ref/PolyhedronGenus.html}, note=[Accessed: 22-November-2024 ]}