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Order-6_cubic_honeycomb abstract "The order-6 cubic honeycomb is a paracompact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. It is called paracompact because it has infinite vertex figures, with all vertices as ideal points at infinity. With schläfli symbol {4,3,6}, it is constructed from six cubes exist on each edge. Its vertex figure is an infinite triangular tiling. It is dual is the order-4 hexagonal tiling honeycomb.A geometric honeycomb is a space-filling of polyhedral or higher-dimensional cells, so that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions.Honeycombs are usually constructed in ordinary Euclidean (\"flat\") space, like the convex uniform honeycombs. They may also be constructed in non-Euclidean spaces, such as hyperbolic uniform honeycombs. Any finite uniform polytope can be projected to its circumsphere to form a uniform honeycomb in spherical space.".
Order-6_cubic_honeycomb thumbnail H3_436_CC_center.png?width=300.
Order-6_cubic_honeycomb wikiPageExternalLink icm1954.3.0155.0169.ocr.pdf.
Order-6_cubic_honeycomb wikiPageID "40290695".
Order-6_cubic_honeycomb wikiPageLength "15940".
Order-6_cubic_honeycomb wikiPageOutDegree "183".
Order-6_cubic_honeycomb wikiPageRevisionID "667150828".
Order-6_cubic_honeycomb wikiPageWikiLink Alternation_(geometry).
Order-6_cubic_honeycomb wikiPageWikiLink Category:Honeycombs_(geometry).
Order-6_cubic_honeycomb wikiPageWikiLink Coxeter_group.
Order-6_cubic_honeycomb wikiPageWikiLink Coxeter–Dynkin_diagram.
Order-6_cubic_honeycomb wikiPageWikiLink Cube.
Order-6_cubic_honeycomb wikiPageWikiLink Cubic_honeycomb.
Order-6_cubic_honeycomb wikiPageWikiLink Cuboctahedron.
Order-6_cubic_honeycomb wikiPageWikiLink Dual_polyhedron.
Order-6_cubic_honeycomb wikiPageWikiLink Face_(geometry).
Order-6_cubic_honeycomb wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
Order-6_cubic_honeycomb wikiPageWikiLink Hexagon.
Order-6_cubic_honeycomb wikiPageWikiLink Hexagonal_prism.
Order-6_cubic_honeycomb wikiPageWikiLink Hexagonal_pyramid.
Order-6_cubic_honeycomb wikiPageWikiLink Hexagonal_tiling.
Order-6_cubic_honeycomb wikiPageWikiLink Honeycomb_(geometry).
Order-6_cubic_honeycomb wikiPageWikiLink Hyperbolic_space.
Order-6_cubic_honeycomb wikiPageWikiLink Hypercycle_(hyperbolic_geometry).
Order-6_cubic_honeycomb wikiPageWikiLink Ideal_point.
Order-6_cubic_honeycomb wikiPageWikiLink Infinite-order_square_tiling.
Order-6_cubic_honeycomb wikiPageWikiLink Jeffrey_Weeks_(mathematician).
Order-6_cubic_honeycomb wikiPageWikiLink List_of_regular_polytopes_and_compounds.
Order-6_cubic_honeycomb wikiPageWikiLink Norman_Johnson_(mathematician).
Order-6_cubic_honeycomb wikiPageWikiLink Octagon.
Order-6_cubic_honeycomb wikiPageWikiLink Order-4_hexagonal_tiling_honeycomb.
Order-6_cubic_honeycomb wikiPageWikiLink Order-5_cubic_honeycomb.
Order-6_cubic_honeycomb wikiPageWikiLink Order-6_cubic_honeycomb.
Order-6_cubic_honeycomb wikiPageWikiLink Paracompact_uniform_honeycombs.
Order-6_cubic_honeycomb wikiPageWikiLink Pentagon.
Order-6_cubic_honeycomb wikiPageWikiLink Perspective_(graphical).
Order-6_cubic_honeycomb wikiPageWikiLink Poincaré_disk_model.
Order-6_cubic_honeycomb wikiPageWikiLink Quasiregular_polyhedron.
Order-6_cubic_honeycomb wikiPageWikiLink Regular_4-polytope.
Order-6_cubic_honeycomb wikiPageWikiLink Regular_Polytopes_(book).
Order-6_cubic_honeycomb wikiPageWikiLink Regular_polytope.
Order-6_cubic_honeycomb wikiPageWikiLink Rhombicuboctahedron.
Order-6_cubic_honeycomb wikiPageWikiLink Rhombitrihexagonal_tiling.
Order-6_cubic_honeycomb wikiPageWikiLink Schläfli_symbol.
Order-6_cubic_honeycomb wikiPageWikiLink Semiregular_polytope.
Order-6_cubic_honeycomb wikiPageWikiLink Square.
Order-6_cubic_honeycomb wikiPageWikiLink Tessellation.
Order-6_cubic_honeycomb wikiPageWikiLink Tetraapeirogonal_tiling.
Order-6_cubic_honeycomb wikiPageWikiLink Tetrahedron.
Order-6_cubic_honeycomb wikiPageWikiLink Triangle.
Order-6_cubic_honeycomb wikiPageWikiLink Triangular_prism.
Order-6_cubic_honeycomb wikiPageWikiLink Triangular_tiling.
Order-6_cubic_honeycomb wikiPageWikiLink Trihexagonal_tiling.
Order-6_cubic_honeycomb wikiPageWikiLink Truncated_cube.
Order-6_cubic_honeycomb wikiPageWikiLink Truncated_infinite-order_square_tiling.
Order-6_cubic_honeycomb wikiPageWikiLink Truncated_octahedron.
Order-6_cubic_honeycomb wikiPageWikiLink Truncated_tetrahedron.
Order-6_cubic_honeycomb wikiPageWikiLink Truncated_trihexagonal_tiling.
Order-6_cubic_honeycomb wikiPageWikiLink Uniform_honeycombs_in_hyperbolic_space.
Order-6_cubic_honeycomb wikiPageWikiLink Vertex_figure.
Order-6_cubic_honeycomb wikiPageWikiLink File:Cantellated_order-6_cubic_honeycomb_verf.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:H2_tiling_23i-1.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:H2_tiling_24i-2.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:H2_tiling_24i-4.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:H2_tiling_24i-6.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:H3_436_CC_center.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:H3_436_CC_center_0100.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Hexahedron.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Rectified_order-6_cubic_honeycomb_verf.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Tetrahedron.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Truncated_order-6_cubic_honeycomb_verf.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Truncated_tetrahedron.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Uniform_polyhedron-43-t01.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Uniform_polyhedron-43-t02.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Uniform_polyhedron-43-t1.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Uniform_tiling_333-t1.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Uniform_tiling_63-t0.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Uniform_tiling_63-t01.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Uniform_tiling_63-t012.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Uniform_tiling_63-t02.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Uniform_tiling_63-t1.png.
Order-6_cubic_honeycomb wikiPageWikiLink File:Uniform_tiling_63-t2.png.
Order-6_cubic_honeycomb wikiPageWikiLinkText "Order-6 cubic honeycomb".
Order-6_cubic_honeycomb wikiPageWikiLinkText "Order-6 cubic honeycomb#Alternated order-6 cubic honeycomb".
Order-6_cubic_honeycomb wikiPageWikiLinkText "Order-6_cubic_honeycomb#Rectified_order-6_cubic_honeycomb".
Order-6_cubic_honeycomb wikiPageWikiLinkText "order-6 cubic honeycomb".
Order-6_cubic_honeycomb wikiPageWikiLinkText "order-6 cubic honeycomb#Alternated order-6 cubic honeycomb".
Order-6_cubic_honeycomb wikiPageWikiLinkText "order-6 cubic honeycomb#Bitruncated order-6 cubic honeycomb".
Order-6_cubic_honeycomb wikiPageWikiLinkText "order-6 cubic honeycomb#Cantellated order-6 cubic honeycomb".
Order-6_cubic_honeycomb wikiPageWikiLinkText "order-6 cubic honeycomb#Cantitruncated order-6 cubic honeycomb".
Order-6_cubic_honeycomb wikiPageWikiLinkText "order-6 cubic honeycomb#Omnitruncated order-6 cubic honeycomb".
Order-6_cubic_honeycomb wikiPageWikiLinkText "order-6 cubic honeycomb#Runcinated order-6 cubic honeycomb".
Order-6_cubic_honeycomb wikiPageWikiLinkText "order-6 cubic honeycomb#Runcitruncated order-6 cubic honeycomb".
Order-6_cubic_honeycomb wikiPageWikiLinkText "order-6 cubic honeycomb#Truncated order-6 cubic honeycomb".
Order-6_cubic_honeycomb wikiPageWikiLinkText "order-6 cubic".
Order-6_cubic_honeycomb wikiPageWikiLinkText "{4,3,6}".
Order-6_cubic_honeycomb wikiPageUsesTemplate Template:634_family.
Order-6_cubic_honeycomb wikiPageUsesTemplate Template:CDD.
Order-6_cubic_honeycomb wikiPageUsesTemplate Template:Cubic_cell_tessellations.
Order-6_cubic_honeycomb wikiPageUsesTemplate Template:Hexagonal_tiling_vertex_figure_tessellations.