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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
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903:
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of the order-3-5 heptagonal honeycomb is {7,3,5}, with five heptagonal tilings meeting at each edge. The
1531:
1317:
1120:
of the order 3-5 heptagonal honeycomb is {8,3,5}, with five octagonal tilings meeting at each edge. The
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1509:
Kleinian, a tool for visualizing
Kleinian groups, Geometry and the Imagination
1486:
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248:
It is a part of a series of regular polytopes and honeycombs with {p,3,5}
1293:
1086:
302:
270:
169:
119:
1232:
1025:
898:
859:
664:
1406:. (Tables I and II: Regular polytopes and honeycombs, pp. 294â296)
1036:
703:
1417:
1469:
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708:
1320:, each of which has a limiting circle on the ideal sphere.
1113:, each of which has a limiting circle on the ideal sphere.
196:, each of which has a limiting circle on the ideal sphere.
1462:
Lorentzian
Coxeter groups and Boyd-Maxwell ball packings
1150:
943:
26:
1448:(Chapters 16â17: Geometries on Three-manifolds I, II)
1470:Visualizing Hyperbolic Honeycombs arXiv:1511.02851
1453:Sphere Packings and Hyperbolic Reflection Groups
1373:Convex uniform honeycombs in hyperbolic space
8:
1124:of this honeycomb is an icosahedron, {3,5}.
212:of this honeycomb is an icosahedron, {3,5}.
1153:
946:
29:
258:
1499:{7,3,3} Honeycomb Meets Plane at Infinity
1337:
1126:
214:
1430:Regular Honeycombs in Hyperbolic Space
1398:, 3rd. ed., Dover Publications, 1973.
1455:, JOURNAL OF ALGEBRA 79,78-97 (1982)
1410:The Beauty of Geometry: Twelve Essays
1312:). Each infinite cell consists of an
1105:). Each infinite cell consists of an
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188:). Each infinite cell consists of a
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1154:Order-3-5 apeirogonal honeycomb
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244:Related polytopes and honeycombs
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1460:Hao Chen, Jean-Philippe Labbé,
1439:The Shape of Space, 2nd edition
1302:order-3-5 apeirogonal honeycomb
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1147:Order-3-5 apeirogonal honeycomb
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30:Order-3-5 heptagonal honeycomb
18:Order-3-5 apeirogonal honeycomb
947:Order-3-5 octagonal honeycomb
178:order-3-5 heptagonal honeycomb
1:
1095:order-3-5 octagonal honeycomb
940:Order-3-5 octagonal honeycomb
1412:(1999), Dover Publications,
1553:
1314:order-3 apeirogonal tiling
1378:List of regular polytopes
293:
287:
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1331:of this honeycomb is an
1316:whose vertices lie on a
1304:a regular space-filling
1109:whose vertices lie on a
1097:a regular space-filling
192:whose vertices lie on a
180:a regular space-filling
1537:Regular 3-honeycombs
1348:Poincaré disk model
1137:Poincaré disk model
225:Poincaré disk model
1527:Heptagonal tilings
1351:(vertex centered)
1298:hyperbolic 3-space
1140:(vertex centered)
1091:hyperbolic 3-space
262:{p,3,5} polytopes
252:, and icosahedral
228:(vertex centered)
174:hyperbolic 3-space
1495:{7,3,3} Honeycomb
1395:Regular Polytopes
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1163:Regular honeycomb
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956:Regular honeycomb
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190:heptagonal tiling
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39:Regular honeycomb
16:(Redirected from
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1436:Jeffrey R. Weeks
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1491:Visual insights
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1325:SchlÀfli symbol
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1170:SchlÀfli symbol
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963:SchlÀfli symbol
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46:SchlÀfli symbol
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1511:4 March 2014.
1505:Danny Calegari
1502:
1482:
1481:External links
1479:
1478:
1477:
1474:Henry Segerman
1472:Roice Nelson,
1467:
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1360:Ideal surface
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254:vertex figures
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237:Ideal surface
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1497:(2014/08/01)
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1446:0-8247-0709-5
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1428:(Chapter 10,
1427:
1426:0-486-40919-8
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1404:0-486-61480-8
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1275:Coxeter group
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1068:Coxeter group
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1045:Vertex figure
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562:{∞,3,5}
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151:Coxeter group
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128:Vertex figure
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19:
1532:3-honeycombs
1501:(2014/08/14)
1490:
1461:
1452:
1438:
1409:
1393:
1322:
1318:2-hypercycle
1306:tessellation
1301:
1291:
1115:
1111:2-hypercycle
1099:tessellation
1094:
1084:
291:Paracompact
247:
203:
194:2-hypercycle
182:tessellation
177:
167:
1432:) Table III
1333:icosahedron
1257:icosahedron
1050:icosahedron
904:{∞,3}
294:Noncompact
133:icosahedron
1521:Categories
1384:References
1283:Properties
1076:Properties
159:Properties
1487:John Baez
1335:, {3,5}.
1310:honeycomb
1244:Apeirogon
1103:honeycomb
186:honeycomb
1464:, (2013)
1418:99-35678
1367:See also
1294:geometry
1286:Regular
1174:{â,3,5}
1087:geometry
1079:Regular
967:{8,3,5}
288:Compact
200:Geometry
170:geometry
162:Regular
120:Heptagon
50:{7,3,5}
1390:Coxeter
1292:In the
1268:{5,3,â}
1085:In the
1061:{5,3,8}
1037:Octagon
518:{8,3,5}
475:{7,3,5}
432:{6,3,5}
389:{5,3,5}
346:{4,3,5}
303:{3,3,5}
285:Finite
168:In the
144:{5,3,7}
1476:(2015)
1444:
1424:
1416:
1402:
1300:, the
1259:{3,5}
1093:, the
1052:{3,5}
660:Cells
606:Image
267:Space
176:, the
135:{3,5}
1240:Faces
1229:{â,3}
1225:Cells
1033:Faces
1022:{8,3}
1018:Cells
865:{8,3}
826:{7,3}
787:{6,3}
748:{5,3}
709:{4,3}
670:{3,3}
299:Name
282:Form
116:Faces
105:{7,3}
101:Cells
1442:ISBN
1422:ISBN
1414:LCCN
1400:ISBN
1323:The
1308:(or
1264:Dual
1246:{â}
1159:Type
1116:The
1101:(or
1057:Dual
1039:{8}
952:Type
560:...
204:The
184:(or
140:Dual
122:{7}
35:Type
1296:of
1089:of
172:of
1523::
1507:,
1493::
1489:,
1420:,
1392:,
256:.
276:H
271:S
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
