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Encyclopedia > Bitruncated cubic honeycomb
Bitruncated cubic honeycomb
Schläfli symbol ?
Type Andreini tessellation
Cell type truncated octahedron 4.6.6
Face types square {4},
hexagon {6}
Edge figure isosceles triangle {3}
Vertex figure tetrahedron {3,3}
Cells/edge (4.6.6)3
Cells/vertex (4.6.6)4
Symmetry group ?
Dual Disphenoid tetrahedral honeycomb
Properties cell-uniform, vertex-uniform

The bitruncated cubic honeycomb is a tessellation (or honeycomb) in Euclidean 3-space made up of truncated octahedra. Tesselation of space using truncated octahedra. ... In mathematics, the Schläfli symbol is a simple notation that gives a summary of some important properties of a particular regular polytope. ... In geometry, the Andreini tessellations are the complete set of 28 uniform (space-filling) honeycombs of 3-space. ... The truncated octahedron, also known as a Mecon, is an Archimedean solid. ... A square as a geometric shape is described and illustrated at square (geometry). ... A regular hexagon A hexagon is a polygon with six edges and six vertices. ... For alternate meanings, such as the musical instrument, see triangle (disambiguation). ... For academic journal, see Tetrahedron A tetrahedron (plural: tetrahedra) is a polyhedron composed of four triangular faces, three of which meet at each vertex. ... The symmetry group of an object (e. ... A tessellation of space fills space with solids, e. ... The truncated octahedron, also known as a Mecon, is an Archimedean solid. ...


It is one of 28 Andreini tessellations. It has 4 truncated octahedra around each vertex. In geometry, the Andreini tessellations are the complete set of 28 uniform (space-filling) honeycombs of 3-space. ...


Although a regular tetrahedron can not tessellate space alone, the dual of this honeycomb has identical tetrahedral cells with isosceles triangle faces (called a disphenoid tetrahedron) and these do tessellate space. For academic journal, see Tetrahedron A tetrahedron (plural: tetrahedra) is a polyhedron composed of four triangular faces, three of which meet at each vertex. ...


See also



 

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