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GeodesicPolyhedron[n]

次数 n の測地線多面体を与える．

GeodesicPolyhedron["poly",n]

次数 n の測地線多面体を多面体"poly"に基づいて与える．

詳細とオプション
Details and Options Details and Options
例題  
例  
スコープ  
基本的な用法  
指定  
アプリケーション  
特性と関係  
関連項目
履歴
引用書式

GeodesicPolyhedron

GeodesicPolyhedron[n]

次数 n の測地線多面体を与える．

GeodesicPolyhedron["poly",n]

次数 n の測地線多面体を多面体"poly"に基づいて与える．

詳細とオプション

例題

すべて開く すべて閉じる

例  (1)

測地線多面体を生成する：

Wolfram Language code: 𝒫 = GeodesicPolyhedron[3]
Wolfram Language code: Region[%]

体積を計算する：

Wolfram Language code: Volume [𝒫]

スコープ  (6)

基本的な用法  (5)

等辺の四面体，八面体，20面体等を生成する：

Wolfram Language code: Table[Graphics3D[GeodesicPolyhedron[name, 1]], {name, {"Tetrahedron", "Octahedron", "Icosahedron"}}]

色指示子は測地線多面体の面の色を指定する：

Wolfram Language code: Table[Graphics3D[{c, GeodesicPolyhedron[2]}], {c, {Red, Green, Blue, Yellow}}]

FaceFormおよびEdgeFormを使って内部および境界のスタイルが指定できる：

Wolfram Language code: Graphics3D[{FaceForm[Pink], EdgeForm[Directive[Dashed, Thick, Blue]], GeodesicPolyhedron[2]}]

測地線多面体は三次元の幾何学領域である：

Wolfram Language code: RegionQ[GeodesicPolyhedron[2]]

幾何学次元：

Wolfram Language code: RegionDimension[GeodesicPolyhedron[2]]

測地線多面体の幾何学特性を求める：

Wolfram Language code: Volume[GeodesicPolyhedron[2]]

表面積：

Wolfram Language code: SurfaceArea[GeodesicPolyhedron[2]]

指定  (1)

測地線多面体は標準的なWolfram言語名を使って指定できる：

Wolfram Language code: GeodesicPolyhedron["Tetrahedron", 2]
Wolfram Language code: Graphics3D[%]

アプリケーション  (2)

測地線多面体の表を生成する：

Wolfram Language code: Grid[Table[Graphics3D[GeodesicPolyhedron[name, i], Boxed -> False], {name, {"Tetrahedron", "Octahedron", "Icosahedron"}}, {i, 4}]]

測地線多面体の表の双対を生成する：

Wolfram Language code: Grid[Table[Graphics3D[DualPolyhedron[GeodesicPolyhedron[name, i]], Boxed -> False], {name, {"Tetrahedron", "Octahedron", "Icosahedron"}}, {i, 4}]]

特性と関係  (5)

測地線多面体は凸多面体である：

Wolfram Language code: GeodesicPolyhedron[2]
Wolfram Language code: ConvexPolyhedronQ[%]

測地線多面体は単純多面体である：

Wolfram Language code: GeodesicPolyhedron[2]
Wolfram Language code: SimplePolyhedronQ[%]

測地線多面体のOuterPolyhedronはそれ自体である：

Wolfram Language code: 𝒫 = GeodesicPolyhedron[2]
Wolfram Language code: OuterPolyhedron[𝒫]

測地線多面体に穴はない：

Wolfram Language code: InnerPolyhedron[𝒫]

Icosahedronからの測地線多面体の面の数：

Wolfram Language code: Table[Length[GeodesicPolyhedron["Icosahedron", n][[2]]], {n, 5}]

式：

Wolfram Language code: FindSequenceFunction[%, n]

Icosahedronからの測地線多面体の頂点数：

Wolfram Language code: Table[Length[PolyhedronCoordinates@GeodesicPolyhedron["Icosahedron", n]], {n, 5}]

式：

Wolfram Language code: FindSequenceFunction[%, n]
Wolfram Research (2022), GeodesicPolyhedron, Wolfram言語関数， https://reference.wolfram.com/language/ref/GeodesicPolyhedron.html.

テキスト

Wolfram Research (2022), GeodesicPolyhedron, Wolfram言語関数， https://reference.wolfram.com/language/ref/GeodesicPolyhedron.html.

CMS

Wolfram Language. 2022. "GeodesicPolyhedron." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GeodesicPolyhedron.html.

APA

Wolfram Language. (2022). GeodesicPolyhedron. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GeodesicPolyhedron.html

BibTeX

@misc{reference.wolfram_2026_geodesicpolyhedron, author="Wolfram Research", title="{GeodesicPolyhedron}", year="2022", howpublished="\url{https://reference.wolfram.com/language/ref/GeodesicPolyhedron.html}", note=[Accessed: 01-November-2026]}

BibLaTeX

@online{reference.wolfram_2026_geodesicpolyhedron, organization={Wolfram Research}, title={GeodesicPolyhedron}, year={2022}, url={https://reference.wolfram.com/language/ref/GeodesicPolyhedron.html}, note=[Accessed: 01-November-2026]}