Difference between revisions of "Template:Honeycombs"
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imported>Tomruen |
imported>Tomruen |
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{| class="wikitable collapsible" | {| class="wikitable collapsible" | ||
|- | |- | ||
| − | !colspan=" | + | !colspan="7" style="background:lightsteelblue;"|{{tnavbar-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;"|R<sup>2</sup> | ||
!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> | ||
| Line 12: | Line 13: | ||
|- style="text-align:center;" | |- style="text-align:center;" | ||
| + | !class="navbox-group" style="background:gainsboro;"|R<sup>3</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>}]] | ||
| Line 20: | Line 22: | ||
|- style="text-align:center;" | |- style="text-align:center;" | ||
| + | !class="navbox-group" style="background:gainsboro;"|R<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>}]] | ||
| Line 28: | Line 31: | ||
|- style="text-align:center;" | |- style="text-align:center;" | ||
| + | !class="navbox-group" style="background:gainsboro;"|R<sup>4</sup> | ||
!class="navbox-group" style="background:gainsboro;"|[[Uniform 5-honeycomb]] | !class="navbox-group" style="background:gainsboro;"|[[Uniform 5-honeycomb]] | ||
|style="background:whitesmoke;"|[[5-cell honeycomb|{3<sup>[5]</sup>}]] | |style="background:whitesmoke;"|[[5-cell honeycomb|{3<sup>[5]</sup>}]] | ||
| Line 36: | Line 40: | ||
|- style="text-align:center;" | |- style="text-align:center;" | ||
| + | !class="navbox-group" style="background:gainsboro;"|R<sup>5</sup> | ||
!class="navbox-group" style="background:gainsboro;"|[[Uniform 6-honeycomb]] | !class="navbox-group" style="background:gainsboro;"|[[Uniform 6-honeycomb]] | ||
|[[5-simplex honeycomb|{3<sup>[6]</sup>}]] | |[[5-simplex honeycomb|{3<sup>[6]</sup>}]] | ||
| Line 44: | Line 49: | ||
|- style="text-align:center;" | |- style="text-align:center;" | ||
| + | !class="navbox-group" style="background:gainsboro;"|R<sup>6</sup> | ||
!class="navbox-group" style="background:gainsboro;"|[[Uniform 7-honeycomb]] | !class="navbox-group" style="background:gainsboro;"|[[Uniform 7-honeycomb]] | ||
|style="background:whitesmoke;"|[[6-simplex honeycomb|{3<sup>[7]</sup>}]] | |style="background:whitesmoke;"|[[6-simplex honeycomb|{3<sup>[7]</sup>}]] | ||
| Line 52: | Line 58: | ||
|- style="text-align:center;" | |- style="text-align:center;" | ||
| + | !class="navbox-group" style="background:gainsboro;"|R<sup>7</sup> | ||
!class="navbox-group" style="background:gainsboro;"|[[Uniform 8-honeycomb]] | !class="navbox-group" style="background:gainsboro;"|[[Uniform 8-honeycomb]] | ||
|[[7-simplex honeycomb|{3<sup>[8]</sup>}]] | |[[7-simplex honeycomb|{3<sup>[8]</sup>}]] | ||
| Line 60: | Line 67: | ||
|- style="text-align:center;" | |- style="text-align:center;" | ||
| + | !class="navbox-group" style="background:gainsboro;"|R<sup>8</sup> | ||
!class="navbox-group" style="background:gainsboro;"|[[Uniform 9-honeycomb]] | !class="navbox-group" style="background:gainsboro;"|[[Uniform 9-honeycomb]] | ||
|style="background:whitesmoke;"|[[8-simplex honeycomb|{3<sup>[9]</sup>}]] | |style="background:whitesmoke;"|[[8-simplex honeycomb|{3<sup>[9]</sup>}]] | ||
| Line 68: | Line 76: | ||
|- style="text-align:center;" | |- style="text-align:center;" | ||
| + | !class="navbox-group" style="background:gainsboro;"|R<sup>9</sup> | ||
!class="navbox-group" style="background:gainsboro;"|Uniform 10-honeycomb | !class="navbox-group" style="background:gainsboro;"|Uniform 10-honeycomb | ||
|{3<sup>[10]</sup>} | |{3<sup>[10]</sup>} | ||
| Line 76: | Line 85: | ||
|- style="text-align:center;" | |- style="text-align:center;" | ||
| + | !class="navbox-group" style="background:gainsboro;"|R<sup>''n''-1</sup> | ||
!class="navbox-group" style="background:gainsboro;"|Uniform ''n''-[[Honeycomb (geometry)|honeycomb]] | !class="navbox-group" style="background:gainsboro;"|Uniform ''n''-[[Honeycomb (geometry)|honeycomb]] | ||
|style="background:whitesmoke;"|[[simplectic honeycomb|{3<sup>[n]</sup>}]] | |style="background:whitesmoke;"|[[simplectic honeycomb|{3<sup>[n]</sup>}]] | ||
Revision as of 12:21, 28 February 2017
| Template:Tnavbar-collapsible | ||||||
|---|---|---|---|---|---|---|
| R2 | 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> |
| R3 | Uniform tiling | {3[3]} | δ3 | hδ3 | qδ3 | Hexagonal |
| R3 | Uniform convex honeycomb | {3[4]} | δ4 | hδ4 | qδ4 | |
| R4 | Uniform 5-honeycomb | {3[5]} | δ5 | hδ5 | qδ5 | 24-cell honeycomb |
| R5 | Uniform 6-honeycomb | {3[6]} | δ6 | hδ6 | qδ6 | |
| R6 | Uniform 7-honeycomb | {3[7]} | δ7 | hδ7 | qδ7 | 222 |
| R7 | Uniform 8-honeycomb | {3[8]} | δ8 | hδ8 | qδ8 | 133 • 331 |
| R8 | Uniform 9-honeycomb | {3[9]} | δ9 | hδ9 | qδ9 | 152 • 251 • 521 |
| R9 | Uniform 10-honeycomb | {3[10]} | δ10 | hδ10 | qδ10 | |
| Rn-1 | Uniform n-honeycomb | {3[n]} | δn | hδn | qδn | 1k2 • 2k1 • k21 |
| Editors can experiment in this template's sandbox (create | mirror) and testcases (create) pages. Subpages of this template. |