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)
George Olshevsky, (2006, Uniform Panoploid Tetracombs, Manuscript (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)
Branko Grünbaum, (1994) Uniform tilings of 3-space. Geombinatorics 4, 49 - 56.
Norman Johnson (1991) Uniform Polytopes, Manuscript
Williams, Robert. The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. 1979. ISBN 0-486-23729-X. (Chapter 5: Polyhedra packing and space filling)
Critchlow, Keith. Order in Space: A design source book. Viking Press. 1970. ISBN 0-500-34033-1.
Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBN 978-0-471-01003-6[1]
(Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10] (1.9 Uniform space-fillings)
A. Andreini, (1905) 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 75–129. PDF
D. M. Y. Sommerville, (1930) An Introduction to the Geometry of n Dimensions. New York, E. P. Dutton, . 196 pp. (Dover Publications edition, 1958) Chapter X: The Regular Polytopes
Anthony Pugh. Polyhedra: A visual approach. California: University of California Press Berkeley. 1976. ISBN 0-520-03056-7. Chapter 5. Joining polyhedra
Review: A. F. Wells, Three-dimensional nets and polyhedra, H. S. M. Coxeter (Source: Bull. Amer. Math. Soc. Volume 84, Number 3 (1978), 466-470.) （页面存档备份，存于互联网档案馆）
Klitzing, Richard. 3D Euclidean tesselations. bendwavy.org.
十月 20, 2023
凸均勻堆砌, 此條目需要精通或熟悉相关主题的编者参与及协助编辑, 2014年4月30日, 請邀請適合的人士改善本条目, 更多的細節與詳情請參见討論頁, 此條目需要擴充, 2014年4月29日, 请協助改善这篇條目, 更進一步的信息可能會在討論頁或扩充请求中找到, 请在擴充條目後將此模板移除, 在幾何學中, 又稱三維凸均勻蜂巢體, 英語, convex, uniform, honeycomb, 是一種三維正密鋪, 由凸均勻多面體組成且能夠填滿歐幾里得空間, 四面體, 八面體堆砌是28種三維歐幾里得空間的均勻堆砌之一,. 此條目需要精通或熟悉相关主题的编者参与及协助编辑 2014年4月30日 請邀請適合的人士改善本条目 更多的細節與詳情請參见討論頁 此條目需要擴充 2014年4月29日 请協助改善这篇條目 更進一步的信息可能會在討論頁或扩充请求中找到 请在擴充條目後將此模板移除 在幾何學中 凸均勻堆砌 又稱三維凸均勻蜂巢體 英語 Convex uniform honeycomb 是一種三維正密鋪 由凸均勻多面體組成且能夠填滿歐幾里得空間 四面體 八面體堆砌是28種三維歐幾里得空間的均勻堆砌之一 由黃色的四面體和紅色的八面體相間構成 已知存在28種有此性質的堆砌 蜂巢體 立方體堆砌及其七個變換 四面體 八面體堆砌 英语 tetrahedral octahedral honeycomb 及其四個變換 十種柱體形式的平面半正鑲嵌 若包含立方體堆砌則為11種 5種由上面的幾何體通過延伸或迴轉變換之幾何體 它們可以被認為是平面鑲嵌在三維空間的類比 參考文獻 编辑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 George Olshevsky 2006 Uniform Panoploid Tetracombs Manuscript Complete list of 11 convex uniform tilings 28 convex uniform honeycombs and 143 convex uniform tetracombs Branko Grunbaum 1994 Uniform tilings of 3 space Geombinatorics 4 49 56 Norman Johnson 1991 Uniform Polytopes Manuscript Williams Robert The Geometrical Foundation of Natural Structure A Source Book of Design Dover Publications Inc 1979 ISBN 0 486 23729 X Chapter 5 Polyhedra packing and space filling Critchlow Keith Order in Space A design source book Viking Press 1970 ISBN 0 500 34033 1 Kaleidoscopes Selected Writings of H S M Coxeter edited by F Arthur Sherk Peter McMullen Anthony C Thompson Asia Ivic Weiss Wiley Interscience Publication 1995 ISBN 978 0 471 01003 6 1 Paper 22 H S M Coxeter Regular and Semi Regular Polytopes I Math Zeit 46 1940 380 407 MR 2 10 1 9 Uniform space fillings A Andreini 1905 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 Societa Italiana della Scienze Ser 3 14 75 129 PDF 2 D M Y Sommerville 1930 An Introduction to the Geometry of n Dimensions New York E P Dutton 196 pp Dover Publications edition 1958 Chapter X The Regular Polytopes Anthony Pugh Polyhedra A visual approach California University of California Press Berkeley 1976 ISBN 0 520 03056 7 Chapter 5 Joining polyhedra外部連結 编辑维基共享资源中相关的多媒体资源 凸均勻堆砌埃里克 韦斯坦因 Honeycomb MathWorld Uniform Honeycombs in 3 Space 页面存档备份 存于互联网档案馆 VRML models Elementary Honeycombs 页面存档备份 存于互联网档案馆 Vertex transitive space filling honeycombs with non uniform cells Uniform partitions of 3 space their relatives and embedding 页面存档备份 存于互联网档案馆 1999 The Uniform Polyhedra 页面存档备份 存于互联网档案馆 Virtual Reality Polyhedra 页面存档备份 存于互联网档案馆 The Encyclopedia of Polyhedra lu de octet truss animation 页面存档备份 存于互联网档案馆 Review A F Wells Three dimensional nets and polyhedra H S M Coxeter Source Bull Amer Math Soc Volume 84 Number 3 1978 466 470 页面存档备份 存于互联网档案馆 Klitzing Richard 3D Euclidean tesselations bendwavy org 取自 https zh wikipedia org w index php title 凸均勻堆砌 amp oldid 77922786, 维基百科，wiki，书籍，书籍，图书馆，
