Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Order-4_hexagonal_tiling_honeycomb> ?p ?o }
- Order-4_hexagonal_tiling_honeycomb abstract "In the field of hyperbolic geometry, the order-4 hexagonal tiling honeycomb arises as 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.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.The Schläfli symbol of the order-4 hexagonal tiling honeycomb is {6,3,4}. Since that of the hexagonal tiling of the plane is {6,3}, this honeycomb has four such hexagonal tilings meeting at each edge. Since the Schläfli symbol of the octahedron is {3,4}, the vertex figure of this honeycomb is an octahedron. Thus, 8 hexagonal tilings meet at each vertex of this honeycomb, and the six edges meeting at each vertex lie along three orthogonal axes.".
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- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink 16-cell.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Alternation_(geometry).
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Apeirogon.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Category:Honeycombs_(geometry).
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- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Dodecagon.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Dual_polyhedron.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Face_(geometry).
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Hexagon.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Hexagonal_prism.
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- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Horocycle.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Horosphere.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Hyperbolic_space.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Hypercycle_(hyperbolic_geometry).
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Ideal_point.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Jeffrey_Weeks_(mathematician).
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink List_of_regular_polytopes_and_compounds.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Norman_Johnson_(mathematician).
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Octagon.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Octahedron.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Order-4_apeirogonal_tiling.
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- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Order-6_cubic_honeycomb.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Paracompact_uniform_honeycombs.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Perspective_(graphical).
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- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Quasiregular_polyhedron.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Regular_Polytopes_(book).
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Rhombitetrahexagonal_tiling.
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- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Schläfli_symbol.
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- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Tetraapeirogonal_tiling.
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- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Triangle.
- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Triangular_cupola.
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- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Truncated_cuboctahedron.
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- Order-4_hexagonal_tiling_honeycomb wikiPageWikiLink Truncated_octahedron.
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