|
h3 |- |bgcolor=#e7dcc3|Coxeter-Dynkin diagrams |colspan=2| = |- |bgcolor=#e7dcc3|Cells |24 |8 (''3.4.3.4'') 16 (''3.3.3'') |- |bgcolor=#e7dcc3|Faces |88 |64 24 |- |bgcolor=#e7dcc3|Edges |colspan=2|96 |- |bgcolor=#e7dcc3|Vertices |colspan=2|32 |- |bgcolor=#e7dcc3|Vertex figure |colspan=2|60px (Elongated equilateral-triangular prism) |- |bgcolor=#e7dcc3|Symmetry group |colspan=2|BC4 (), order 384 D4 (), order 192 |- |bgcolor=#e7dcc3|Properties |colspan=2|convex, edge-transitive |- |bgcolor=#e7dcc3|Uniform index |colspan=2|''10'' 11 ''12'' |} In geometry, the rectified tesseract, rectified 8-cell, or runcic tesseract is a uniform 4-polytope (4-dimensional polytope) bounded by 24 cells: 8 cuboctahedra, and 16 tetrahedra. It has half the vertices of a runcinated tesseract, with its construction. It has two uniform constructions, as a ''rectified 8-cell'' r and a cantellated demitesseract, rr, the second alternating with two types of tetrahedral cells. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as tC8. ==Construction== The rectified tesseract may be constructed from the tesseract by truncating its vertices at the midpoints of its edges. The Cartesian coordinates of the vertices of the rectified tesseract with edge length 2 is given by all permutations 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「rectified tesseract」の詳細全文を読む スポンサード リンク
|
