翻訳と辞書
Words near each other
・ "O" Is for Outlaw
・ "O"-Jung.Ban.Hap.
・ "Ode-to-Napoleon" hexachord
・ "Oh Yeah!" Live
・ "Our Contemporary" regional art exhibition (Leningrad, 1975)
・ "P" Is for Peril
・ "Pimpernel" Smith
・ "Polish death camp" controversy
・ "Pro knigi" ("About books")
・ "Prosopa" Greek Television Awards
・ "Pussy Cats" Starring the Walkmen
・ "Q" Is for Quarry
・ "R" Is for Ricochet
・ "R" The King (2016 film)
・ "Rags" Ragland
・ ! (album)
・ ! (disambiguation)
・ !!
・ !!!
・ !!! (album)
・ !!Destroy-Oh-Boy!!
・ !Action Pact!
・ !Arriba! La Pachanga
・ !Hero
・ !Hero (album)
・ !Kung language
・ !Oka Tokat
・ !PAUS3
・ !T.O.O.H.!
・ !Women Art Revolution


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

simplectic honeycomb : ウィキペディア英語版
simplectic honeycomb
}_3
|-
!Triangular tiling
!Tetrahedral-octahedral honeycomb
|-
|120px
With red and yellow equilateral triangles
|160px
With cyan and yellow tetrahedra, and red rectified tetrahedra (octahedron)
|-
!
!
|}
In geometry, the simplectic honeycomb (or n-simplex honeycomb) is a dimensional infinite series of honeycombs, based on the , and is represented by a Coxeter-Dynkin diagram as a cyclic graph of ''n+1'' nodes with one node ringed. It is composed of n-simplex facets, along with all rectified n-simplices. It can be thought of as an n-dimensional hypercubic honeycomb that has been subdivided along all hyperplanes x+y+...\in\mathbb, then stretched along its main diagonal until the simplices on the ends of the hypercubes become regular. The vertex figure of an ''n-simplex honeycomb'' is an expanded n-simplex.
In 2 dimensions, the honeycomb represents the triangular tiling, with Coxeter graph filling the plane with alternately colored triangles. In 3 dimensions it represents the tetrahedral-octahedral honeycomb, with Coxeter graph filling space with alternately tetrahedral and octahedral cells. In 4 dimensions it is called the 5-cell honeycomb, with Coxeter graph , with 5-cell and rectified 5-cell facets. In 5 dimensions it is called the 5-simplex honeycomb, with Coxeter graph , filling space by 5-simplex, rectified 5-simplex, and birectified 5-simplex facets. In 6 dimensions it is called the 6-simplex honeycomb, with Coxeter graph , filling space by 6-simplex, rectified 6-simplex, and birectified 6-simplex facets.
== By dimension ==

!Tessellation
!Vertex figure
!Facets per vertex figure
!Vertices per vertex figure
!Edge figure
|- align=center
|1
|}_2
|
Triangular tiling
2-simplex honeycomb
|
Hexagon
(Truncated triangle)
|3+3 triangles
|6
|Line segment
|- align=center
|3
|}_4
|4-simplex honeycomb
|80px
Runcinated 5-cell
|5+5 5-cells
10+10 rectified 5-cells
|20
|60px
Triangular antiprism
|- align=center
|5
|}_6
|6-simplex honeycomb
|80px
Pentellated 6-simplex
|7+7 6-simplex
21+21 rectified 6-simplex
35+35 birectified 6-simplex
|42
|4-simplex antiprism
|- align=center
|7
|}_8
|8-simplex honeycomb
|80px
Heptellated 8-simplex
|9+9 8-simplex
36+36 rectified 8-simplex
84+84 birectified 8-simplex
126+126 trirectified 8-simplex
|72
|6-simplex antiprism
|- align=center
|9
|}_
|10-simplex honeycomb
|80px
Ennecated 10-simplex
|11+11 10-simplex
55+55 rectified 10-simplex
165+165 birectified 10-simplex
330+330 trirectified 10-simplex
462+462 quadrirectified 10-simplex
|110
|8-simplex antiprism
|- align=center
|11
|
|11-simplex honeycomb
|...
|...
|...
|...
|}

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「simplectic honeycomb」の詳細全文を読む



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.