Cubic-icosahedral honeycomb
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410:(Chapter 16-17: Geometries on Three-manifolds I, II)
429:, Ph.D. Dissertation, University of Toronto, 1966
310:to form a uniform honeycomb in spherical space.
286:Honeycombs are usually constructed in ordinary
436:, (2018) Chapter 13: Hyperbolic Coxeter groups
427:The Theory of Uniform Polytopes and Honeycombs
343:Convex uniform honeycombs in hyperbolic space
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226:. It has a single-ring Coxeter diagram,
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185:Vertex-transitive, edge-transitive
294:. They may also be constructed in
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300:hyperbolic uniform honeycombs
283:in any number of dimensions.
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319:Wide-angle perspective view
19:Cubic-icosahedral honeycomb
386:, Dover Publications, 1999
201:cubic-icosahedral honeycomb
39:{(4,3,5,3)} or {(3,5,3,4)}
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348:List of regular polytopes
292:convex uniform honeycombs
290:("flat") space, like the
28:Compact uniform honeycomb
330:Centered on icosahedron
306:can be projected to its
269:or higher-dimensional
203:is a compact uniform
296:non-Euclidean spaces
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259:geometric honeycomb
207:, constructed from
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197:hyperbolic 3-space
417:Uniform Polytopes
365:Regular Polytopes
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221:icosidodecahedron
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167:icosidodecahedron
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398:Jeffrey R. Weeks
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304:uniform polytope
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45:Coxeter diagram
35:Schläfli symbol
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302:. Any finite
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219:cells, in an
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452:3-honeycombs
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308:circumsphere
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209:icosahedron
354:References
298:, such as
267:polyhedral
182:Properties
288:Euclidean
205:honeycomb
446:Category
337:See also
193:geometry
145:triangle
380:Coxeter
360:Coxeter
191:In the
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314:Images
275:tiling
215:, and
199:, the
150:square
130:r{4,3}
271:cells
261:is a
141:Faces
121:{3,5}
112:{4,3}
108:Cells
404:ISBN
388:ISBN
370:ISBN
213:cube
152:{4}
24:Type
277:or
265:of
195:of
147:{3}
76:or
448::
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382:,
362:,
257:A
211:,
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