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- Order-5_hexagonal_tiling_honeycomb abstract "In the field of hyperbolic geometry, the order-5 hexagonal tiling honeycomb arises one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space. It is called paracompact because it has infinite cells. Each cell consists of a hexagonal tiling whose vertices lie on a horosphere: a flat plane in hyperbolic space that approaches a single ideal point at infinity.The Schläfli symbol of the order-5 hexagonal tiling honeycomb is {6,3,5}. Since that of the hexagonal tiling of the plane is {6,3}, this honeycomb has five such hexagonal tilings meeting at each edge. Since the Schläfli symbol of the icosahedron is {3,5}, the vertex figure of this honeycomb is an icosahedron. Thus, 20 hexagonal tilings meet at each vertex of this 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-5_hexagonal_tiling_honeycomb thumbnail H3_635_FC_boundary.png?width=300.
- Order-5_hexagonal_tiling_honeycomb wikiPageExternalLink icm1954.3.0155.0169.ocr.pdf.
- Order-5_hexagonal_tiling_honeycomb wikiPageID "40291462".
- Order-5_hexagonal_tiling_honeycomb wikiPageLength "8773".
- Order-5_hexagonal_tiling_honeycomb wikiPageOutDegree "99".
- Order-5_hexagonal_tiling_honeycomb wikiPageRevisionID "628849220".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Alternation_(geometry).
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Apeirogon.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Category:Honeycombs_(geometry).
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Coxeter_group.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Coxeter–Dynkin_diagram.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Dodecahedron.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Face_(geometry).
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Hexagon.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Hexagonal_tiling.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Horosphere.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Hyperbolic_space.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Icosahedron.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Icosidodecahedron.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Ideal_point.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Infinite-order_square_tiling.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Jeffrey_Weeks_(mathematician).
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink List_of_regular_polytopes_and_compounds.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Norman_Johnson_(mathematician).
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Order-6_dodecahedral_honeycomb.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Paracompact_uniform_honeycombs.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Pentagon.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Pentagonal_prism.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Pentagonal_pyramid.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Perspective_(graphical).
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Poincaré_disk_model.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Regular_Polytopes_(book).
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Rhombitrihexagonal_tiling.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Schläfli_symbol.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Triangle.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Triangular_prism.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Triangular_tiling.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Trihexagonal_tiling.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Uniform_honeycombs_in_hyperbolic_space.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink Vertex_figure.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink File:Cantellated_order-5_hexagonal_tiling_honeycomb_verf.png.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink File:H2_tiling_25i-1.png.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink File:H2_tiling_25i-2.png.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink File:H3_635_FC_boundary.png.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink File:H3_635_boundary_0100.png.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink File:Rectified_order-5_hexagonal_tiling_honeycomb_verf.png.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink File:Truncated_order-5_hexagonal_tiling_honeycomb_verf.png.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink File:Uniform_polyhedron-53-t1.png.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink File:Uniform_polyhedron-53-t2.png.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink File:Uniform_tiling_333-t01.png.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink File:Uniform_tiling_63-t0.png.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink File:Uniform_tiling_63-t01.png.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink File:Uniform_tiling_63-t02.png.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLink File:Uniform_tiling_63-t1.png.
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "Order-5 hexagonal tiling honeycomb".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "Order-5 hexagonal".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "order-5 hexagonal tiling honeycomb".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "order-5 hexagonal tiling honeycomb#Alternated order-5 hexagonal tiling honeycomb".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "order-5 hexagonal tiling honeycomb#Bitruncated order-5 hexagonal tiling honeycomb".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "order-5 hexagonal tiling honeycomb#Cantellated order-5 hexagonal tiling honeycomb".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "order-5 hexagonal tiling honeycomb#Cantic order-5 hexagonal tiling honeycomb".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "order-5 hexagonal tiling honeycomb#Cantitruncated order-5 hexagonal tiling honeycomb".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "order-5 hexagonal tiling honeycomb#Omnitruncated order-5 hexagonal tiling honeycomb".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "order-5 hexagonal tiling honeycomb#Rectified order-5 hexagonal tiling honeycomb".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "order-5 hexagonal tiling honeycomb#Runcic order-5 hexagonal tiling honeycomb".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "order-5 hexagonal tiling honeycomb#Runcicantic order-5 hexagonal tiling honeycomb".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "order-5 hexagonal tiling honeycomb#Runcinated order-5 hexagonal tiling honeycomb".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "order-5 hexagonal tiling honeycomb#Truncated order-5 hexagonal tiling honeycomb".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "order-5 hexagonal".
- Order-5_hexagonal_tiling_honeycomb wikiPageWikiLinkText "{6,3,5}".
- Order-5_hexagonal_tiling_honeycomb wikiPageUsesTemplate Template:635_family.
- Order-5_hexagonal_tiling_honeycomb wikiPageUsesTemplate Template:CDD.
- Order-5_hexagonal_tiling_honeycomb wikiPageUsesTemplate Template:Hexagonal_tiling_cell_tessellations.
- Order-5_hexagonal_tiling_honeycomb wikiPageUsesTemplate Template:Honeycomb.
- Order-5_hexagonal_tiling_honeycomb wikiPageUsesTemplate Template:Icosahedral_vertex_figure_tessellations.
- Order-5_hexagonal_tiling_honeycomb wikiPageUsesTemplate Template:LCCN.
- Order-5_hexagonal_tiling_honeycomb wikiPageUsesTemplate Template:Overline.
- Order-5_hexagonal_tiling_honeycomb wikiPageUsesTemplate Template:Pentagonal_prism_vertex_figure_tessellations.
- Order-5_hexagonal_tiling_honeycomb wikiPageUsesTemplate Template:Regular_paracompact_H3_honeycombs.
- Order-5_hexagonal_tiling_honeycomb subject Category:Honeycombs_(geometry).
- Order-5_hexagonal_tiling_honeycomb comment "In the field of hyperbolic geometry, the order-5 hexagonal tiling honeycomb arises one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space. It is called paracompact because it has infinite cells. Each cell consists of a hexagonal tiling whose vertices lie on a horosphere: a flat plane in hyperbolic space that approaches a single ideal point at infinity.The Schläfli symbol of the order-5 hexagonal tiling honeycomb is {6,3,5}.".
- Order-5_hexagonal_tiling_honeycomb label "Order-5 hexagonal tiling honeycomb".
- Order-5_hexagonal_tiling_honeycomb sameAs Q14629785.
- Order-5_hexagonal_tiling_honeycomb sameAs Петоредова_шестоъгълна_панова_пита.
- Order-5_hexagonal_tiling_honeycomb sameAs m.0wxrnv7.
- Order-5_hexagonal_tiling_honeycomb sameAs Q14629785.
- Order-5_hexagonal_tiling_honeycomb wasDerivedFrom Order-5_hexagonal_tiling_honeycomb?oldid=628849220.
- Order-5_hexagonal_tiling_honeycomb depiction H3_635_FC_boundary.png.
- Order-5_hexagonal_tiling_honeycomb isPrimaryTopicOf Order-5_hexagonal_tiling_honeycomb.