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Encyclopedia > Disphenoid tetrahedral honeycomb
Disphenoid tetrahedral honeycomb
(No image)
Schläfli symbol ?
Type Andreini tessellation dual
Cell type Disphenoid tetrahedron {3,3}
Face types isosceles triangle {3}
Cells/edge ?
Cells/vertex ?
Symmetry group ?
Dual Bitruncated cubic honeycomb
Properties cell-uniform, face-uniform

The Disphenoid tetrahedral honeycomb is a tessellation (or honeycomb) in Euclidean 3-space made up of identical nonregular tetrahedral cells. 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. ... For alternate meanings, such as the musical instrument, see triangle (disambiguation). ... The symmetry group of an object (e. ... The bitruncated cubic honeycomb is a tessellation (or honeycomb) in Euclidean 3-space made up of truncated octahedra. ... A tessellation of space fills space with solids, e. ... 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 stretched tetrahedron cells are called disphenoids. Cells are face-uniform with 4 identical isosceles triangle faces.


It is a dual of one of 28 Andreini tessellations. In geometry, the Andreini tessellations are the complete set of 28 uniform (space-filling) honeycombs of 3-space. ...


See also



 

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