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of the order-3-5 apeirogonal honeycomb is {â,3,5}, with five order-3 apeirogonal tilings meeting at each edge. The
1302:
1217:
892:
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27:
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1331:
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197:
of the order-3-5 heptagonal honeycomb is {7,3,5}, with five heptagonal tilings meeting at each edge. The
1520:
1306:
1109:
of the order 3-5 heptagonal honeycomb is {8,3,5}, with five octagonal tilings meeting at each edge. The
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613:
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1498:
Kleinian, a tool for visualizing
Kleinian groups, Geometry and the Imagination
1475:
1232:
731:
237:
It is a part of a series of regular polytopes and honeycombs with {p,3,5}
1282:
1075:
291:
259:
158:
108:
1221:
1014:
887:
848:
653:
1395:. (Tables I and II: Regular polytopes and honeycombs, pp. 294â296)
1025:
692:
1406:
1458:
1454:
697:
1309:, each of which has a limiting circle on the ideal sphere.
1102:, each of which has a limiting circle on the ideal sphere.
185:, each of which has a limiting circle on the ideal sphere.
1451:
Lorentzian
Coxeter groups and Boyd-Maxwell ball packings
1139:
932:
15:
1437:(Chapters 16â17: Geometries on Three-manifolds I, II)
1459:Visualizing Hyperbolic Honeycombs arXiv:1511.02851
1442:Sphere Packings and Hyperbolic Reflection Groups
1362:Convex uniform honeycombs in hyperbolic space
8:
1113:of this honeycomb is an icosahedron, {3,5}.
201:of this honeycomb is an icosahedron, {3,5}.
1142:
935:
18:
247:
1488:{7,3,3} Honeycomb Meets Plane at Infinity
1326:
1115:
203:
1419:Regular Honeycombs in Hyperbolic Space
1387:, 3rd. ed., Dover Publications, 1973.
1444:, JOURNAL OF ALGEBRA 79,78-97 (1982)
1399:The Beauty of Geometry: Twelve Essays
1301:). Each infinite cell consists of an
1094:). Each infinite cell consists of an
7:
177:). Each infinite cell consists of a
14:
1143:Order-3-5 apeirogonal honeycomb
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233:Related polytopes and honeycombs
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1449:Hao Chen, Jean-Philippe Labbé,
1428:The Shape of Space, 2nd edition
1291:order-3-5 apeirogonal honeycomb
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1136:Order-3-5 apeirogonal honeycomb
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19:Order-3-5 heptagonal honeycomb
936:Order-3-5 octagonal honeycomb
167:order-3-5 heptagonal honeycomb
1:
1084:order-3-5 octagonal honeycomb
929:Order-3-5 octagonal honeycomb
1401:(1999), Dover Publications,
1542:
1303:order-3 apeirogonal tiling
1367:List of regular polytopes
282:
276:
263:
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1320:of this honeycomb is an
1305:whose vertices lie on a
1293:a regular space-filling
1098:whose vertices lie on a
1086:a regular space-filling
181:whose vertices lie on a
169:a regular space-filling
1526:Regular 3-honeycombs
1337:Poincaré disk model
1126:Poincaré disk model
214:Poincaré disk model
1516:Heptagonal tilings
1340:(vertex centered)
1287:hyperbolic 3-space
1129:(vertex centered)
1080:hyperbolic 3-space
251:{p,3,5} polytopes
241:, and icosahedral
217:(vertex centered)
163:hyperbolic 3-space
1484:{7,3,3} Honeycomb
1384:Regular Polytopes
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1152:Regular honeycomb
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945:Regular honeycomb
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179:heptagonal tiling
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28:Regular honeycomb
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1440:George Maxwell,
1425:Jeffrey R. Weeks
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1480:Visual insights
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1314:SchlÀfli symbol
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35:SchlÀfli symbol
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1500:4 March 2014.
1494:Danny Calegari
1491:
1471:
1470:External links
1468:
1467:
1466:
1463:Henry Segerman
1461:Roice Nelson,
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1349:Ideal surface
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1486:(2014/08/01)
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1435:0-8247-0709-5
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1417:(Chapter 10,
1416:
1415:0-486-40919-8
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1393:0-486-61480-8
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551:{∞,3,5}
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140:Coxeter group
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1521:3-honeycombs
1490:(2014/08/14)
1479:
1450:
1441:
1427:
1398:
1382:
1311:
1307:2-hypercycle
1295:tessellation
1290:
1280:
1104:
1100:2-hypercycle
1088:tessellation
1083:
1073:
280:Paracompact
236:
192:
183:2-hypercycle
171:tessellation
166:
156:
1421:) Table III
1322:icosahedron
1246:icosahedron
1039:icosahedron
893:{∞,3}
283:Noncompact
122:icosahedron
1510:Categories
1373:References
1272:Properties
1065:Properties
148:Properties
1476:John Baez
1324:, {3,5}.
1299:honeycomb
1233:Apeirogon
1092:honeycomb
175:honeycomb
1453:, (2013)
1407:99-35678
1356:See also
1283:geometry
1275:Regular
1163:{â,3,5}
1076:geometry
1068:Regular
956:{8,3,5}
277:Compact
189:Geometry
159:geometry
151:Regular
109:Heptagon
39:{7,3,5}
1379:Coxeter
1281:In the
1257:{5,3,â}
1074:In the
1050:{5,3,8}
1026:Octagon
507:{8,3,5}
464:{7,3,5}
421:{6,3,5}
378:{5,3,5}
335:{4,3,5}
292:{3,3,5}
274:Finite
157:In the
133:{5,3,7}
1465:(2015)
1433:
1413:
1405:
1391:
1289:, the
1248:{3,5}
1082:, the
1041:{3,5}
649:Cells
595:Image
256:Space
165:, the
124:{3,5}
1229:Faces
1218:{â,3}
1214:Cells
1022:Faces
1011:{8,3}
1007:Cells
854:{8,3}
815:{7,3}
776:{6,3}
737:{5,3}
698:{4,3}
659:{3,3}
288:Name
271:Form
105:Faces
94:{7,3}
90:Cells
1431:ISBN
1411:ISBN
1403:LCCN
1389:ISBN
1312:The
1297:(or
1253:Dual
1235:{â}
1148:Type
1105:The
1090:(or
1046:Dual
1028:{8}
941:Type
549:...
193:The
173:(or
129:Dual
111:{7}
24:Type
1285:of
1078:of
161:of
1512::
1496:,
1482::
1478:,
1409:,
1381:,
245:.
265:H
260:S
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
