5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope. It has six vertices, 15 edges, 20 triangle faces, 15 tetrahedral cells, and 6 5-cell facets. It has a dihedral angle of cos−1(1/5), or approximately 78.46°. The 5-simplex is a solution to the problem: Make 20 equilateral triangles using 15 matchsticks, where each side of every triangle is exactly one matchstick.
Wikipage redirect
10-demicube10-orthoplex10-simplex120-cell honeycomb1 32 polytope1 33 honeycomb1 42 polytope1 52 honeycomb2 21 polytope2 22 honeycomb2 31 polytope2 41 polytope2 51 honeycomb3-3 duoprism3 21 polytope3 31 honeycomb4 21 polytope5-cell5-demicube5-polytope5-simplex honeycomb5 21 honeycomb6-cube6-demicube6-orthoplex6-simplex6-simplex honeycomb7-demicube7-orthoplex7-simplex7-simplex honeycomb8-cube8-demicube8-orthoplex8-simplex8-simplex honeycomb9-demicube9-orthoplex9-simplexA5 polytope
Link from a Wikipage to another Wikipage
primaryTopic
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope. It has six vertices, 15 edges, 20 triangle faces, 15 tetrahedral cells, and 6 5-cell facets. It has a dihedral angle of cos−1(1/5), or approximately 78.46°. The 5-simplex is a solution to the problem: Make 20 equilateral triangles using 15 matchsticks, where each side of every triangle is exactly one matchstick.
has abstract
5-симплекс або гексатерон — пя ...... (0,2), тобто приблизно 78,46°.
@uk
In five-dimensional geometry, ...... gle is exactly one matchstick.
@en
V geometrii je 5simplex pětirozměrnou analogií tetraedru.
@cs
Правильный 5-симплекс, или пра ...... 0,2), то есть примерно 78,46°.
@ru
五维正六胞体(Hexateron)或称正六超胞体(Hexat ...... 正四面体胞与顶点相连成为5个正四面体棱锥(即正五胞体)侧面。
@zh
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
993,440,289
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
subject
hypernym
comment
5-симплекс або гексатерон — пя ...... (0,2), тобто приблизно 78,46°.
@uk
In five-dimensional geometry, ...... gle is exactly one matchstick.
@en
V geometrii je 5simplex pětirozměrnou analogií tetraedru.
@cs
Правильный 5-симплекс, или пра ...... 0,2), то есть примерно 78,46°.
@ru
五维正六胞体(Hexateron)或称正六超胞体(Hexat ...... 正四面体胞与顶点相连成为5个正四面体棱锥(即正五胞体)侧面。
@zh
label
5-simplex
@en
5simplex
@cs
Гексатерон
@uk
Правильный 5-симплекс
@ru
五維正六胞體
@zh