Difference between revisions of "Template:Icosahedral cell tessellations"
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imported>Tomruen (←Created page with '{| class="wikitable collapsible collapsed" !colspan=12|{3,5,''p''} polytopes |- !Space !colspan=5|H<sup>3</sup> |- !Form !Paracompact !colsp...') |
imported>Goomba1729 |
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|- | |- | ||
!Space | !Space | ||
| − | !colspan= | + | !colspan=7|[[hyperbolic space|H<sup>3</sup>]] |
|- | |- | ||
!Form | !Form | ||
| − | ! | + | !Compact |
| − | !colspan= | + | !colspan=6|Noncompact |
|- style="text-align:center;vertical-align:top;" | |- style="text-align:center;vertical-align:top;" | ||
!Name | !Name | ||
| − | ![[ | + | ![[Order-3 icosahedral honeycomb|{3,5,3}]]<BR>{{CDD|node_1|3|node|5|node|3|node}}<BR> |
![[Order-4 icosahedral honeycomb|{3,5,4}]]<BR>{{CDD|node_1|3|node|5|node|4|node}} | ![[Order-4 icosahedral honeycomb|{3,5,4}]]<BR>{{CDD|node_1|3|node|5|node|4|node}} | ||
![[Order-5 icosahedral honeycomb|{3,5,5}]]<BR>{{CDD|node_1|3|node|5|node|5|node}} | ![[Order-5 icosahedral honeycomb|{3,5,5}]]<BR>{{CDD|node_1|3|node|5|node|5|node}} | ||
![[Order-6 icosahedral honeycomb|{3,5,6}]]<BR>{{CDD|node_1|3|node|5|node|6|node}} | ![[Order-6 icosahedral honeycomb|{3,5,6}]]<BR>{{CDD|node_1|3|node|5|node|6|node}} | ||
| + | ![[Order-7 icosahedral honeycomb|{3,5,7}]]<BR>{{CDD|node_1|3|node|5|node|7|node}} | ||
| + | ![[Order-8 icosahedral honeycomb|{3,5,8}]]<BR>{{CDD|node_1|3|node|5|node|8|node}} | ||
!... [[Infinite-order icosahedral honeycomb|{3,5,∞}]]<BR>{{CDD|node_1|3|node|5|node|infin|node}} | !... [[Infinite-order icosahedral honeycomb|{3,5,∞}]]<BR>{{CDD|node_1|3|node|5|node|infin|node}} | ||
|- style="text-align:center;" | |- style="text-align:center;" | ||
!Image | !Image | ||
|[[File:H3_353_CC_center.png|60px]] | |[[File:H3_353_CC_center.png|60px]] | ||
| − | |[[File:Hyperbolic honeycomb 3-5-4 poincare.png|60px]] | + | |[[File:Hyperbolic honeycomb 3-5-4 poincare cc.png|60px]] |
| − | |[[File:Hyperbolic honeycomb 3-5-5 poincare.png|60px]] | + | |[[File:Hyperbolic honeycomb 3-5-5 poincare cc.png|60px]] |
| − | |[[File:Hyperbolic honeycomb 3-5-6 poincare.png|60px]] | + | |[[File:Hyperbolic honeycomb 3-5-6 poincare cc.png|60px]] |
| − | |[[File:Hyperbolic honeycomb 3-5-i poincare.png|60px]] | + | |[[File:Hyperbolic honeycomb 3-5-7 poincare cc.png|60px]] |
| + | |[[File:Hyperbolic honeycomb 3-5-8 poincare cc.png|60px]] | ||
| + | |[[File:Hyperbolic honeycomb 3-5-i poincare cc.png|60px]] | ||
|- style="text-align:center;vertical-align:top;" | |- style="text-align:center;vertical-align:top;" | ||
!Vertex<BR>figure | !Vertex<BR>figure | ||
|[[File:Dodecahedron.png|60px]]<BR>[[Dodecahedron|{5,3}]]<BR>{{CDD|node_1|5|node|3|node}} | |[[File:Dodecahedron.png|60px]]<BR>[[Dodecahedron|{5,3}]]<BR>{{CDD|node_1|5|node|3|node}} | ||
| − | |[[File: | + | |[[File:H2-5-4-dual.svg|60px]]<BR>[[Order-4 pentagonal tiling|{5,4}]]<BR>{{CDD|node_1|5|node|4|node}} |
|[[File:H2_tiling_255-4.png|60px]]<BR>[[Order-5 pentagonal tiling|{5,5}]]<BR>{{CDD|node_1|5|node|5|node}} | |[[File:H2_tiling_255-4.png|60px]]<BR>[[Order-5 pentagonal tiling|{5,5}]]<BR>{{CDD|node_1|5|node|5|node}} | ||
| − | |[[File:H2_tiling_256-4.png|60px]]<BR>[[Order- | + | |[[File:H2_tiling_256-4.png|60px]]<BR>[[Order-6 pentagonal tiling|{5,6}]]<BR>{{CDD|node_1|5|node|6|node}} |
| + | |[[File:H2_tiling_257-4.png|60px]]<BR>[[Order-7 pentagonal tiling|{5,7}]]<BR>{{CDD|node_1|5|node|7|node}} | ||
| + | |[[File:H2_tiling_258-4.png|60px]]<BR>[[Order-8 pentagonal tiling|{5,8}]]<BR>{{CDD|node_1|5|node|8|node}} | ||
|[[File:H2_tiling_25i-4.png|60px]]<BR>[[infinite-order pentagonal tiling|{5,∞}]]<BR>{{CDD|node_1|5|node|infin|node}} | |[[File:H2_tiling_25i-4.png|60px]]<BR>[[infinite-order pentagonal tiling|{5,∞}]]<BR>{{CDD|node_1|5|node|infin|node}} | ||
|} | |} | ||
