截角立方體堆砌

来自testwiki
跳转到导航 跳转到搜索

Template:NoteTA Template:Infobox polytope 在幾何學中，截角立方體堆砌是一種歐幾里得三維空間的半正堆砌，由截角立方體和正八面體堆砌而成，是三維空間內28個半正密鋪之一，其對偶多面體為六雙立方堆砌。

康威稱截半立方體堆砌為truncated cubille[1]，因為它可以藉由立方體堆砌經過「截角」變換構造而來。

表面塗色

Construction Bicantellated alternate cubic Truncated cubic honeycomb
考克斯特群 [4,31,1], B~3 [4,3,4], C~3
=<[4,31,1]>
空間群 FmTemplate:Overlinem PmTemplate:Overlinem
表面塗色
Template:Link-en Template:CDD = Template:CDD Template:CDD
頂點圖

参考文獻

  • 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] Template:Wayback
    • (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.
  1. ↑ 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)
检索自“https://zh.wiki.beta.math.wmflabs.org/w/index.php?title=截角立方體堆砌&oldid=8622”