截角超立方體

截角超立方体有24个胞:8个截角立方体，和16个正四面体。

坐标

截角超立方体可以通过在每条棱距离顶点处截断超立方体的每一个角来得到。每个截断的角会产生一个正四面体。

一个棱长为2的截角超立方体的每个顶点的笛卡儿坐标系坐标为:

 投影 
+ 正交投影考克斯特平面B4B3 / D4 / A2B2 / D3Graph160px160px160px二面体群[8][6][4]考克斯特平面F4A3Graph160px160px二面体群[12/3][4]

200px展开图200px三维正交投影

 参考文献 
 T. Gosset: On the Regular and Semi-Regular Figures in Space of n Dimensions, Messenger of Mathematics, Macmillan, 1900
 H.S.M. Coxeter:
 Coxeter, Regular Polytopes, (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8, p. 296, Table I (iii): Regular Polytopes, three regular polytopes in n-dimensions (n≥5)
 H.S.M. Coxeter, Regular Polytopes, 3rd Edition, Dover New York, 1973, p. 296, Table I (iii): Regular Polytopes, three regular polytopes in n-dimensions (n≥5)
 Kaleidoscopes: Selected Writings of H.S.M. Coxeter, editied by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBN 978-0-471-01003-6  
 (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10]
 (Paper 23) H.S.M. Coxeter, Regular and Semi-Regular Polytopes II, [Math. Zeit. 188 (1985) 559-591]
 (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45]
 John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 (Chapter 26. pp. 409: Hemicubes: 1n1)
 Norman Johnson Uniform Polytopes, Manuscript (1991)
 N.W. Johnson: The Theory of Uniform Polytopes and Honeycombs, Ph.D. (1966)

  o3o3o4o  - tat, o3x3x4o - tah, x3x3o4o - thex

 外部链接 
 Paper model of truncated tesseract  created using nets generated by Stella4D software

Category:四维几何
Category:四维多胞体
Category:多胞体