Definitions from Wikipedia (Tetrahedral-octahedral honeycomb)
▸ noun: Alternated cubic honeycomb 210px 130pxTypeUniform honeycombFamilyAlternated hypercubic honeycombSimplectic honeycombIndexingFor cross-referencing, they are given with list indices from Andreini, Williams(1-2,9-19), Johnson, and Grünbaum(1-28).J21,31,51, A2W9, G1Schläfli symbolsh{4,3,4}{3[4]}ht0,3{4,3,4}h{4,4}h{∞}ht0,2{4,4}h{∞}h{∞}h{∞}h{∞}s{∞}s{∞}s{∞}Coxeter diagrams = = = = Cells{3,3} 40px{3,4} 40pxFacestriangle {3}Edge figure[{3,3}.{3,4}]2(rectangle)Vertex figure80px80px80px80px(cuboctahedron)Symmetry groupFmmCoxeter group, [4,31,1]DualDodecahedrillerhombic dodecahedral honeycombCell: 80pxPropertiesvertex-transitive, edge-transitive, quasiregular honeycomb
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▸ noun: Alternated cubic honeycomb 210px 130pxTypeUniform honeycombFamilyAlternated hypercubic honeycombSimplectic honeycombIndexingFor cross-referencing, they are given with list indices from Andreini, Williams(1-2,9-19), Johnson, and Grünbaum(1-28).J21,31,51, A2W9, G1Schläfli symbolsh{4,3,4}{3[4]}ht0,3{4,3,4}h{4,4}h{∞}ht0,2{4,4}h{∞}h{∞}h{∞}h{∞}s{∞}s{∞}s{∞}Coxeter diagrams = = = = Cells{3,3} 40px{3,4} 40pxFacestriangle {3}Edge figure[{3,3}.{3,4}]2(rectangle)Vertex figure80px80px80px80px(cuboctahedron)Symmetry groupFmmCoxeter group, [4,31,1]DualDodecahedrillerhombic dodecahedral honeycombCell: 80pxPropertiesvertex-transitive, edge-transitive, quasiregular honeycomb
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