在几何学中,截半立方体堆砌是一种欧几里得三维空间的半正堆砌,由截半立方体和正八面体堆砌而成,是三维空间内28个半正密铺之一,其对偶多面体为双四角锥堆砌。
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康威称截半立方体堆砌为cuboctahedrille[1],因为它可以借由立方体堆砌经过“截半”变换构造而来,也可以视为由截半立方体堆砌而得,但截半立方体无法单独堆砌,必须和其他多面体一起堆砌,而截半立方体堆砌是由截半立方体和正八面体共同堆砌而得。
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对称性
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[4,3,4]
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[1+,4,3,4] [4,31,1],
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[4,3,4,1+] [4,31,1],
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[1+,4,3,4,1+] [3[4]],
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空间群 |
Pm3m (221) |
Fm3m (225) |
Fm3m (225) |
F43m (216)
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表面涂色
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考克斯特符号
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顶点图
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顶点 值 对称性
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D4h [4,2] (*224) order 16
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D2h [2,2] (*222) order 8
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C4v [4] (*44) order 8
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C2v [2] (*22) order 4
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- George Olshevsky, Uniform Panoploid Tetracombs, Manuscript (2006) (包含11个凸半正镶嵌、28个凸半正堆砌、和143个凸半正四维砌的全表)
- Kaleidoscopes: Selected Writings of H.S.M. Coxeter, F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication参与编辑, 1995, ISBN 978-0-471-01003-6 [1]
- (22页) H.S.M.考克斯特, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10] (1.9 半正空间镶嵌)
- A. Andreini, Sulle reti di poliedri regolari e semiregolari e sulle corrispondenti reti correlative (On the regular and semiregular nets of polyhedra and on the corresponding correlative nets), Mem. Società Italiana della Scienze, Ser.3, 14 (1905) 75–129.
John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, (2008) The Symmetries of Things, ISBN 978-1-56881-220-5 (Chapter 21, Naming the Archimedean and Catalan polyhedra and tilings, Architectonic and Catoptric tessellations, p 292-298, includes all the nonprismatic forms)