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There are several families of symmetric polytopes with irreducible symmetry which have a member in more than one dimensionality. These are tabulated here with Petrie polygon projection graphs and Coxeter-Dynkin diagrams. !colspan=2|Hn |- ! 2 |align=center|80px Triangle |colspan=2 align=center|80px Square |align=center BGCOLOR="#f0e0e0"|80px p-gon (example: p=7) |align=center colspan=3 BGCOLOR="#e0e0f0"|80px Hexagon |colspan=2 align=center|80px Pentagon |- ! 3 |align=center|80px Tetrahedron |align=center|80px Cube |align=center|80px Octahedron |align=center|80px Tetrahedron |align=center colspan=3| |align=center|80px Dodecahedron |align=center|80px Icosahedron |- ! 4 |align=center|80px 5-cell |align=center|80px Tesseract |align=center|80px 16-cell |align=center|80px Demitesseract |align=center colspan=3 BGCOLOR="#e0f0e0"|80px 24-cell |align=center|80px 120-cell |align=center|80px 600-cell |- ! 5 |align=center|80px 5-simplex |align=center|80px 5-cube |align=center|80px 5-orthoplex |align=center|80px 5-demicube |align=center colspan=3| |align=center colspan=1| | |- ! 6 |align=center|80px 6-simplex |align=center|80px 6-cube |align=center|80px 6-orthoplex |align=center|80px 6-demicube |align=center BGCOLOR="#f0e0e0"|80px 122 |colspan=2 align=center BGCOLOR="#f0e0e0"|80px 221 |align=center colspan=1| | |- ! 7 |align=center|80px 7-simplex |align=center|80px 7-cube |align=center|80px 7-orthoplex |align=center|80px 7-demicube |align=center BGCOLOR="#f0e0e0"|80px 132 |align=center BGCOLOR="#f0e0e0"|80px 231 |align=center BGCOLOR="#f0e0e0"|80px 321 |align=center colspan=1| | |- ! 8 |align=center|80px 8-simplex |align=center|80px 8-cube |align=center|80px 8-orthoplex |align=center|80px 8-demicube |align=center BGCOLOR="#f0e0e0"|80px 142 |align=center BGCOLOR="#f0e0e0"|80px 241 |align=center BGCOLOR="#f0e0e0"|80px 421 |align=center colspan=1| | |- ! 9 |align=center|80px 9-simplex |align=center|80px 9-cube |align=center|80px 9-orthoplex |align=center|80px 9-demicube |align=center colspan=5| |- ! 10 |align=center|80px 10-simplex |align=center|80px 10-cube |align=center|80px 10-orthoplex |align=center|80px 10-demicube |align=center colspan=5| |} 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「Polytope families」の詳細全文を読む スポンサード リンク
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