WOLFRAM

Wolfram言語 ＆ システム ドキュメントセンター
Wolfram言語ホームページ »

PolyhedronGenus
✖
PolyhedronGenus

✖

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

例  (1)基本的な使用例

多面体の種数：

In[2]:=2
✖
https://wolfram.com/xid/040g0mgv5h8ode74-b6vqy4
In[2]:=2
✖
https://wolfram.com/xid/040g0mgv5h8ode74-2e6img
Out[2]=2
In[3]:=3
✖
https://wolfram.com/xid/040g0mgv5h8ode74-8ezgj0
Out[3]=3

スコープ  (3)標準的な使用例のスコープの概要

PolyhedronGenusは多面体に使える：

In[2]:=2
✖
https://wolfram.com/xid/040g0mgv5h8ode74-cpw0pk
In[2]:=2
✖
https://wolfram.com/xid/040g0mgv5h8ode74-nc5g0k
Out[2]=2
In[3]:=3
✖
https://wolfram.com/xid/040g0mgv5h8ode74-jmbj0g
Out[3]=3

Tetrahedron：

In[3]:=3
✖
https://wolfram.com/xid/040g0mgv5h8ode74-3o58n0
Out[3]=3

Hexahedron：

In[4]:=4
✖
https://wolfram.com/xid/040g0mgv5h8ode74-ruxc6r
Out[4]=4

穴のある多面体：

In[1]:=1
✖
https://wolfram.com/xid/040g0mgv5h8ode74-kqhcfa
In[2]:=2
✖
https://wolfram.com/xid/040g0mgv5h8ode74-ho2agf
Out[2]=2

不連続成分のある多面体：

In[1]:=1
✖
https://wolfram.com/xid/040g0mgv5h8ode74-inu7wu
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/040g0mgv5h8ode74-npcjle
Out[2]=2

特性と関係  (3)この関数の特性および他の関数との関係

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

In[1]:=1
✖
https://wolfram.com/xid/040g0mgv5h8ode74-vvce7b
In[2]:=2
✖
https://wolfram.com/xid/040g0mgv5h8ode74-jfkzmb
Out[2]=2
In[3]:=3
✖
https://wolfram.com/xid/040g0mgv5h8ode74-bf9i3o
Out[3]=3

凸多面体の種数は0である：

In[1]:=1
✖
https://wolfram.com/xid/040g0mgv5h8ode74-3uzite
In[2]:=2
✖
https://wolfram.com/xid/040g0mgv5h8ode74-z6nm5w
Out[2]=2
In[3]:=3
✖
https://wolfram.com/xid/040g0mgv5h8ode74-co5kpj
Out[3]=3

UniformPolyhedronの種数は0である：

In[1]:=1
✖
https://wolfram.com/xid/040g0mgv5h8ode74-drl6fq
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/040g0mgv5h8ode74-6kl0pb
Out[2]=2
Wolfram Research (2019), PolyhedronGenus, Wolfram言語関数， https://reference.wolfram.com/language/ref/PolyhedronGenus.html.
✖
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.

✖
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.

✖
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

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

BibTeX

@misc{reference.wolfram_2025_polyhedrongenus, author="Wolfram Research", title="{PolyhedronGenus}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/PolyhedronGenus.html}", note=[Accessed: 13-May-2025 ]}

✖
@misc{reference.wolfram_2025_polyhedrongenus, author="Wolfram Research", title="{PolyhedronGenus}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/PolyhedronGenus.html}", note=[Accessed: 13-May-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_polyhedrongenus, organization={Wolfram Research}, title={PolyhedronGenus}, year={2019}, url={https://reference.wolfram.com/language/ref/PolyhedronGenus.html}, note=[Accessed: 13-May-2025 ]}

✖
@online{reference.wolfram_2025_polyhedrongenus, organization={Wolfram Research}, title={PolyhedronGenus}, year={2019}, url={https://reference.wolfram.com/language/ref/PolyhedronGenus.html}, note=[Accessed: 13-May-2025 ]}