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alpha>Sarika: Created page with "{| class="wikitable mw-collapsible" |- !colspan="13" style="background:lightsteelblue;"|{{navbar-collapsible|Fundamental convex regular and uniform poly..."

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wikipedia>Michael Hardy at 22:51, 12 February 2022

2022-02-12T22:51:04Z

New page

{| class="wikitable mw-collapsible"
|-
!colspan="13" style="background:lightsteelblue;"|{{navbar-collapsible|Fundamental convex [[regular polytope|regular]] and [[uniform polytope]]s in dimensions 2–10 |Polytopes}}

|- style="text-align:center;"
!style="background:gainsboro;"|[[Coxeter group#Finite Coxeter groups|Family]]
|style="background:gainsboro;"|[[Simple Lie group#A series|''A''''n'']]
|style="background:gainsboro;"|[[Simple Lie group#B series|''B''''n'']]
|style="background:gainsboro;"|{{font color||#f0f0e0|''I''2(p)}} / [[Simple Lie group#D series|''D''''n'']]
|style="background:gainsboro;"|{{font color||#f0e0e0|[[E6 (mathematics)|''E''6]] / [[E7 (mathematics)|''E''7]] / [[E8 (mathematics)|''E''8]]}} / {{font color||#e0f0e0|[[F4 (mathematics)|''F''4]]}} / {{font color||#e0e0f0|[[G2 (mathematics)|''G''2]]}}
|style="background:gainsboro;"| [[H4 (mathematics)|Hn]]

|- style="text-align:center;"
!style="background:gainsboro;"|[[Regular polygon]]
|[[Equilateral triangle|Triangle]]
|[[Square]]
|style="background:#f0f0e0;"|[[regular polygon|p-gon]]
|style="background:#e0e0f0;"| [[Hexagon]]
| [[Pentagon]]
|- style="text-align:center;"
!style="background:gainsboro;" |[[Uniform polyhedron]]
|style="background:whitesmoke;"|[[Tetrahedron]]
|style="background:whitesmoke;"|[[Octahedron]] • [[Cube]]
|style="background:whitesmoke;"|[[Tetrahedron|Demicube]]
|style="background:whitesmoke;"|
|style="background:whitesmoke;"| [[Regular dodecahedron|Dodecahedron]] • [[Regular icosahedron|Icosahedron]]

|- style="text-align:center;"
!style="background:gainsboro;"|[[Uniform polychoron]]
|[[5-cell|Pentachoron]]
|[[16-cell]] • [[Tesseract]]
|[[16-cell|Demitesseract]]
|style="background:#e0f0e0;"| [[24-cell]]
| [[120-cell]] • [[600-cell]]

|- style="text-align:center;"
!style="background:gainsboro;"|[[Uniform 5-polytope]]
|style="background:whitesmoke;"|[[5-simplex]]
|style="background:whitesmoke;"|[[5-orthoplex]] • [[5-cube]]
|style="background:whitesmoke;"|[[5-demicube]]
|style="background:whitesmoke;"|
|style="background:whitesmoke;"|

|- style="text-align:center;"
!style="background:gainsboro;"|[[Uniform 6-polytope]]
|[[6-simplex]]
|[[6-orthoplex]] • [[6-cube]]
|[[6-demicube]]
|style="background:#f0e0e0;"| [[1 22 polytope|122]] • [[2 21 polytope|221]]
|

|- style="text-align:center;"
!style="background:gainsboro;"|[[Uniform 7-polytope]]
|style="background:whitesmoke;"|[[7-simplex]]
|style="background:whitesmoke;"|[[7-orthoplex]] • [[7-cube]]
|style="background:whitesmoke;"|[[7-demicube]]
|style="background:#f0e0e0;"| [[1 32 polytope|132]] • [[2 31 polytope|231]] • [[3 21 polytope|321]]
|style="background:whitesmoke;"|

|- style="text-align:center;"
!style="background:gainsboro;"|[[Uniform 8-polytope]]
|[[8-simplex]]
|[[8-orthoplex]] • [[8-cube]]
|[[8-demicube]]
|style="background:#f0e0e0;"| [[1 42 polytope|142]] • [[2 41 polytope|241]] • [[4 21 polytope|421]]
|

|- style="text-align:center;"
!style="background:gainsboro;"|[[Uniform 9-polytope]]
|style="background:whitesmoke;"|[[9-simplex]]
|style="background:whitesmoke;"|[[9-orthoplex]] • [[9-cube]]
|style="background:whitesmoke;"|[[9-demicube]]
|style="background:whitesmoke;"|
|style="background:whitesmoke;"|

|- style="text-align:center;"
!style="background:gainsboro;"|[[Uniform 10-polytope]]
|[[10-simplex]]
|[[10-orthoplex]] • [[10-cube]]
|[[10-demicube]]
|
|

|- style="text-align:center;"
!style="background:gainsboro;"|Uniform ''n''-[[polytope]]
|style="background:whitesmoke;"|''n''-[[simplex]]
|style="background:whitesmoke;"|''n''-[[Cross-polytope|orthoplex]] • ''n''-[[hypercube|cube]]
|style="background:whitesmoke;"|''n''-[[demihypercube|demicube]]
|style="background:#f0e0e0;"|[[Uniform 1 k2 polytope|1k2]] • [[Uniform 2 k1 polytope|2k1]] • [[Uniform k 21 polytope|k21]]
|style="background:whitesmoke;"|''n''-[[pentagonal polytope]]

|- style="text-align:center;"
!colspan="13" style="background:gainsboro;"|Topics: [[Polytope families]] • [[Regular polytope]] • [[List of regular polytopes and compounds]]
|}<noinclude>
{{documentation|content=

==See also==
*{{tl|Honeycombs}}

[[Category:Polytopes]]
[[Category:Mathematics navigational boxes]]
}}
</noinclude>

Template:Polytopes - Revision history

Indicwiki: 1 revision imported from :alpha:Template:Polytopes

Admin: Protected "Template:Polytopes" ([Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite)) [cascading]

Admin: 1 revision imported

alpha>Sarika: Created page with "{| class="wikitable mw-collapsible" |- !colspan="13" style="background:lightsteelblue;"|{{navbar-collapsible|Fundamental convex regular and uniform poly..."

wikipedia>Michael Hardy at 22:51, 12 February 2022