|
r |- |bgcolor=#e7dcc3|Coxeter diagrams |colspan=2| or |- |bgcolor=#e7dcc3|Cells |48 |24 ''3.4.3.4'' 20px 24 ''4.4.4'' 20px |- |bgcolor=#e7dcc3|Faces |240 |96 144 |- |bgcolor=#e7dcc3|Edges |colspan=2|288 |- |bgcolor=#e7dcc3|Vertices |colspan=2|96 |- |bgcolor=#e7dcc3|Vertex figure |colspan=2|50px50px50px Triangular prism |- |bgcolor=#e7dcc3|Symmetry groups |colspan=2|F4 (), order 1152 B4 (), order 384 D4 (), order 192 |- |bgcolor=#e7dcc3|Properties |colspan=2|convex, edge-transitive |- |bgcolor=#e7dcc3|Uniform index |colspan=2|''22'' 23 ''24'' |} In geometry, the rectified 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells: 24 cubes, and 24 cuboctahedra. It can be obtained by reducing the 24-cell's cells to cubes or cuboctahedra. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as tC24. It can also be considered a cantellated 16-cell with the lower symmetries B4 = (). B4 would lead to a bicoloring of the cuboctahedral cells into 8 and 16 each. It is also called a runcicantellated demitesseract in a D4 symmetry, giving 3 colors of cells, 8 for each. == Cartesian coordinates == A rectified 24-cell having an edge length of √2 has vertices given by all permutations and sign permutations of the following Cartesian coordinates: : (0,1,1,2) (= 96 vertices ) The dual configuration with edge length 2 has all coordinate and sign permutations of: : (0,2,2,2) (= 32 vertices ) : (1,1,1,3) (= 64 vertices ) 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 24-cell」の詳細全文を読む スポンサード リンク
|
