Difference between revisions of "Template:Honeycombs"

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{| class="wikitable collapsible"
 
{| class="wikitable collapsible"
 
|-
 
|-
!colspan="6" style="background:lightsteelblue;"|{{tnavbar-collapsible|Fundamental convex [[regular honeycomb|regular]] and [[uniform honeycomb]]s in dimensions 2-9|Honeycombs}}
+
!colspan="7" style="background:lightsteelblue;"|{{navbar-collapsible|Fundamental convex [[regular honeycomb|regular]] and [[uniform honeycomb]]s in dimensions 2-9|Honeycombs}}
  
 
|- style="text-align:center;"
 
|- style="text-align:center;"
 +
!class="navbox-group" style="background:gainsboro;"|Space
 
!class="navbox-group" style="background:gainsboro;"|[[Coxeter_group#Finite_Coxeter_groups|Family]]
 
!class="navbox-group" style="background:gainsboro;"|[[Coxeter_group#Finite_Coxeter_groups|Family]]
 
|style="background:gainsboro;"|<math>{\tilde{A}}_{n-1}</math>
 
|style="background:gainsboro;"|<math>{\tilde{A}}_{n-1}</math>
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|- style="text-align:center;"
 
|- style="text-align:center;"
 +
!class="navbox-group" style="background:gainsboro;"|E<sup>2</sup>
 
!class="navbox-group" style="background:gainsboro;"|[[Uniform tiling]]
 
!class="navbox-group" style="background:gainsboro;"|[[Uniform tiling]]
 
|style="background:whitesmoke;"|[[Triangular tiling|{3<sup>[3]</sup>}]]
 
|style="background:whitesmoke;"|[[Triangular tiling|{3<sup>[3]</sup>}]]
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|- style="text-align:center;"
 
|- style="text-align:center;"
 +
!class="navbox-group" style="background:gainsboro;"|E<sup>3</sup>
 
!class="navbox-group" style="background:gainsboro;" |[[Uniform convex honeycomb]]
 
!class="navbox-group" style="background:gainsboro;" |[[Uniform convex honeycomb]]
 
|[[Tetrahedral-octahedral honeycomb|{3<sup>[4]</sup>}]]
 
|[[Tetrahedral-octahedral honeycomb|{3<sup>[4]</sup>}]]
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|- style="text-align:center;"
 
|- style="text-align:center;"
!class="navbox-group" style="background:gainsboro;"|[[Uniform 5-honeycomb]]
+
!class="navbox-group" style="background:gainsboro;"|E<sup>4</sup>
 +
!class="navbox-group" style="background:gainsboro;"|[[Uniform 4-honeycomb]]
 
|style="background:whitesmoke;"|[[5-cell honeycomb|{3<sup>[5]</sup>}]]
 
|style="background:whitesmoke;"|[[5-cell honeycomb|{3<sup>[5]</sup>}]]
 
|style="background:whitesmoke;"|[[Tesseractic honeycomb|<big>&delta;<sub>5</sub></big>]]
 
|style="background:whitesmoke;"|[[Tesseractic honeycomb|<big>&delta;<sub>5</sub></big>]]
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|- style="text-align:center;"
 
|- style="text-align:center;"
!class="navbox-group" style="background:gainsboro;"|[[Uniform 6-honeycomb]]
+
!class="navbox-group" style="background:gainsboro;"|E<sup>5</sup>
 +
!class="navbox-group" style="background:gainsboro;"|[[Uniform 5-honeycomb]]
 
|[[5-simplex honeycomb|{3<sup>[6]</sup>}]]
 
|[[5-simplex honeycomb|{3<sup>[6]</sup>}]]
 
|[[5-cubic honeycomb|<big>&delta;<sub>6</sub></big>]]
 
|[[5-cubic honeycomb|<big>&delta;<sub>6</sub></big>]]
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|- style="text-align:center;"
 
|- style="text-align:center;"
!class="navbox-group" style="background:gainsboro;"|[[Uniform 7-honeycomb]]
+
!class="navbox-group" style="background:gainsboro;"|E<sup>6</sup>
 +
!class="navbox-group" style="background:gainsboro;"|[[Uniform 6-honeycomb]]
 
|style="background:whitesmoke;"|[[6-simplex honeycomb|{3<sup>[7]</sup>}]]
 
|style="background:whitesmoke;"|[[6-simplex honeycomb|{3<sup>[7]</sup>}]]
 
|style="background:whitesmoke;"|[[6-cubic honeycomb|<big>&delta;<sub>7</sub></big>]]
 
|style="background:whitesmoke;"|[[6-cubic honeycomb|<big>&delta;<sub>7</sub></big>]]
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|- style="text-align:center;"
 
|- style="text-align:center;"
!class="navbox-group" style="background:gainsboro;"|[[Uniform 8-honeycomb]]
+
!class="navbox-group" style="background:gainsboro;"|E<sup>7</sup>
 +
!class="navbox-group" style="background:gainsboro;"|[[Uniform 7-honeycomb]]
 
|[[7-simplex honeycomb|{3<sup>[8]</sup>}]]
 
|[[7-simplex honeycomb|{3<sup>[8]</sup>}]]
 
|[[7-cubic honeycomb|<big>&delta;<sub>8</sub></big>]]
 
|[[7-cubic honeycomb|<big>&delta;<sub>8</sub></big>]]
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|- style="text-align:center;"
 
|- style="text-align:center;"
!class="navbox-group" style="background:gainsboro;"|[[Uniform 9-honeycomb]]
+
!class="navbox-group" style="background:gainsboro;"|E<sup>8</sup>
 +
!class="navbox-group" style="background:gainsboro;"|[[Uniform 8-honeycomb]]
 
|style="background:whitesmoke;"|[[8-simplex honeycomb|{3<sup>[9]</sup>}]]
 
|style="background:whitesmoke;"|[[8-simplex honeycomb|{3<sup>[9]</sup>}]]
 
|style="background:whitesmoke;"|[[8-cubic honeycomb|<big>&delta;<sub>9</sub></big>]]
 
|style="background:whitesmoke;"|[[8-cubic honeycomb|<big>&delta;<sub>9</sub></big>]]
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|- style="text-align:center;"
 
|- style="text-align:center;"
!class="navbox-group" style="background:gainsboro;"|Uniform 10-honeycomb
+
!class="navbox-group" style="background:gainsboro;"|E<sup>9</sup>
 +
!class="navbox-group" style="background:gainsboro;"|[[Uniform 9-honeycomb]]
 
|{3<sup>[10]</sup>}
 
|{3<sup>[10]</sup>}
 
|<big>&delta;<sub>10</sub></big>
 
|<big>&delta;<sub>10</sub></big>
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|- style="text-align:center;"
 
|- style="text-align:center;"
!class="navbox-group" style="background:gainsboro;"|Uniform ''n''-[[Honeycomb (geometry)|honeycomb]]
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!class="navbox-group" style="background:gainsboro;"|E<sup>''n''-1</sup>
 +
!class="navbox-group" style="background:gainsboro;"|Uniform (''n''-1)-[[Honeycomb (geometry)|honeycomb]]
 
|style="background:whitesmoke;"|[[simplectic honeycomb|{3<sup>[n]</sup>}]]
 
|style="background:whitesmoke;"|[[simplectic honeycomb|{3<sup>[n]</sup>}]]
 
|style="background:whitesmoke;"|[[hypercubic honeycomb|<big>&delta;<sub>n</sub></big>]]
 
|style="background:whitesmoke;"|[[hypercubic honeycomb|<big>&delta;<sub>n</sub></big>]]

Latest revision as of 07:20, 12 April 2018

Fundamental convex regular and uniform honeycombs in dimensions 2-9
Space Family <math>{\tilde{A}}_{n-1}</math> <math>{\tilde{C}}_{n-1}</math> <math>{\tilde{B}}_{n-1}</math> <math>{\tilde{D}}_{n-1}</math> <math>{\tilde{G}}_2</math> / <math>{\tilde{F}}_4</math> / <math>{\tilde{E}}_{n-1}</math>
E2 Uniform tiling {3[3]} δ3 3 3 Hexagonal
E3 Uniform convex honeycomb {3[4]} δ4 4 4
E4 Uniform 4-honeycomb {3[5]} δ5 5 5 24-cell honeycomb
E5 Uniform 5-honeycomb {3[6]} δ6 6 6
E6 Uniform 6-honeycomb {3[7]} δ7 7 7 222
E7 Uniform 7-honeycomb {3[8]} δ8 8 8 133331
E8 Uniform 8-honeycomb {3[9]} δ9 9 9 152251521
E9 Uniform 9-honeycomb {3[10]} δ10 10 10
En-1 Uniform (n-1)-honeycomb {3[n]} δn n n 1k22k1k21
Template documentation

See also