User:Parcly Taxel
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Hyperbolic tilings
[edit]| Triangle group | dual | truncated dual | rectified | truncated primal | primal | cantellated | omnitruncated | snub |
|---|---|---|---|---|---|---|---|---|
| (7 3 2) | ||||||||
| (5 4 2) | ||||||||
| (8 3 2) | ||||||||
| (∞ 3 2) |
Quotient spaces
[edit]-
Fundamental domains of the Klein quartic…
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…the Bolza surface…
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…and Bring's curve.
The Fifty-Nine Icosahedra stellation diagrams
[edit]-
Regular icosahedron (Crennell 1)
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Wenninger's second stellation (6)
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Echidnahedron (8)
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Wenninger's twelfth stellation (9)
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Wenninger's fourth stellation (11)
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Wenninger's fifth stellation (20)
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Wenninger's seventh stellation (21)
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Wenninger's sixth stellation (23)
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Wenninger's eighth stellation (29)
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Wenninger's tenth stellation (33)
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Wenninger's eleventh stellation (34)
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Wenninger's fourteenth stellation (37)
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Wenninger's fifteenth stellation (45)
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Wenninger's thirteenth stellation (51)
Circle packings in a square
[edit]Tantrix tiles
[edit]Minimal-genus embeddings of complete graphs
[edit]| Graph | Primal | Dual |
|---|---|---|
| K8 | ||
| K9 | ||
| K10 | ||
| K11 | ||
| K12 | ||
| K13 | ||
| K14 | ||
| K15 | ||
| K16 | ||
| K17 | ||
| K18 | ||
| K19 |
Nonorientable surfaces
[edit]| Graph | Primal | Dual |
|---|---|---|
| K8 | ||
| K9 | ||
| K10 | ||
| K11 | ||
| K12 | ||
| K13 | ||
| K14 | same as orientable K14, but use a crosscap to add the final edge | |
| K17 | same as orientable K17, but use a crosscap to add the final edge | |
Other graphs
[edit]-
J(5, 2) (Petersen graph complement)
Unit-distance graph embeddings
[edit]Embeddings marked * have non-edges between vertices that nevertheless are distance 1 apart.
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Heawood graph (F14A)*
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Möbius–Kantor graph (F16A)* (not mine)
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Pappus graph (F18A)
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Desargues graph (F20B)
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Nauru graph (F24A) (not mine)
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Coxeter graph (F28A)
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Tutte 8-cage (F30A)
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Dyck graph (F32A)
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F40A
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F42A
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F48A
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F50A*
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F54A
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F56A
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Cubic Klein graph (F56B)
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F56C
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F60A
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F64A*
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F72A
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F78A
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F80A
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F84A
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Foster graph (F90A)
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F96A*
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F96B
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F98A
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F98B
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Biggs–Smith graph (F102A)
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F104A