Tetrahedral-square tiling honeycomb
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245:, so that there are no gaps. It is an example of the more general mathematical
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557:. (Tables I and II: Regular polytopes and honeycombs, pp. 294–296)
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591:(Chapter 16-17: Geometries on Three-manifolds I, II)
293:Cyclotruncated tetrahedral-square tiling honeycomb
457:cyclotruncated tetrahedral-square tiling honeycomb
286:Cyclotruncated tetrahedral-square tiling honeycomb
610:, Ph.D. Dissertation, University of Toronto, 1966
282:to form a uniform honeycomb in spherical space.
258:Honeycombs are usually constructed in ordinary
617:, (2018) Chapter 13: Hyperbolic Coxeter groups
608:The Theory of Uniform Polytopes and Honeycombs
524:Convex uniform honeycombs in hyperbolic space
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226:, and is named by its two regular cells.
198:. It has a single-ring Coxeter diagram,
549:, 3rd. ed., Dover Publications, 1973.
565:The Beauty of Geometry: Twelve Essays
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19:Tetrahedral-square tiling honeycomb
173:tetrahedral-square tiling honeycomb
157:Vertex-transitive, edge-transitive
266:. They may also be constructed in
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461:paracompact uniform honeycomb
302:Paracompact uniform honeycomb
272:hyperbolic uniform honeycombs
255:in any number of dimensions.
177:paracompact uniform honeycomb
28:Paracompact uniform honeycomb
486:. It has a Coxeter diagram,
567:, Dover Publications, 1999
39:{(4,4,3,3)} or {(3,3,4,4)}
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529:List of regular polytopes
264:convex uniform honeycombs
262:("flat") space, like the
278:can be projected to its
477:truncated square tiling
241:or higher-dimensional
481:triangular antiprism
431:Triangular antiprism
268:non-Euclidean spaces
463:, constructed from
231:geometric honeycomb
193:rhombicuboctahedron
179:, constructed from
139:Rhombicuboctahedron
449:Vertex-transitive
169:hyperbolic 3-space
598:Uniform Polytopes
546:Regular Polytopes
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633:3-honeycombs
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465:tetrahedron
181:tetrahedron
535:References
446:Properties
270:, such as
239:polyhedral
154:Properties
260:Euclidean
627:Category
518:See also
404:triangle
165:geometry
117:triangle
561:Coxeter
541:Coxeter
414:octagon
163:In the
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409:square
394:t{4,3}
376:t{4,3}
247:tiling
171:, the
122:square
102:r{4,3}
475:and
459:is a
400:Faces
385:{3,3}
367:{4,3}
358:Cells
243:cells
233:is a
187:and
175:is a
113:Faces
93:{4,4}
84:{3,3}
80:Cells
585:ISBN
569:ISBN
551:ISBN
469:cube
455:The
416:{8}
298:Type
124:{4}
24:Type
411:{4}
406:{3}
315:0,1
249:or
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119:{3}
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