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30px, t1 30px t2 30px, t3 30px |- |bgcolor=#e7dcc3|6-face types|| 30px, t1 30px t2 40px, t3 30px |- |bgcolor=#e7dcc3|6-face types|| 30px, t1 30px t2 30px |- |bgcolor=#e7dcc3|5-face types|| 30px, t1 30px t2 30px |- |bgcolor=#e7dcc3|4-face types|| 30px, t1 30px |- |bgcolor=#e7dcc3|Cell types|| 30px, t1 30px |- |bgcolor=#e7dcc3|Face types|| 30px |- |bgcolor=#e7dcc3|Vertex figure||t0,7 30px |- |bgcolor=#e7dcc3|Symmetry|| In eighth-dimensional Euclidean geometry, the 8-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 8-simplex, rectified 8-simplex, birectified 8-simplex, and trirectified 8-simplex facets. These facet types occur in proportions of 1:1:1:1 respectively in the whole honeycomb. == A8 lattice == This vertex arrangement is called the A8 lattice or 8-simplex lattice. The 72 vertices of the expanded 8-simplex vertex figure represent the 72 roots of the contains and can be seen as affine extensions of from different nodes: File:Affine A8 E8 relations.png The A lattice is the union of three A8 lattices, and also identical to the E8 lattice. : ∪ ∪ = . The A lattice (also called A) is the union of nine A8 lattices, and has the vertex arrangement of the dual honeycomb to the omnitruncated 8-simplex honeycomb, and therefore the Voronoi cell of this lattice is an omnitruncated 8-simplex : ∪ ∪ ∪ ∪ ∪ ∪ ∪ ∪ = dual of . 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「8-simplex honeycomb」の詳細全文を読む スポンサード リンク
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