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三维空间中凸棱柱和凸棱锥的空间块个数公式
引用本文:武文钊.三维空间中凸棱柱和凸棱锥的空间块个数公式[J].鞍山师范学院学报,2011,13(4):15-19.
作者姓名:武文钊
作者单位:大连理工大学化工与环境生命学部,辽宁大连,116024
摘    要:探讨了凸棱柱和凸棱锥分割空间的数量性质.基于“空间限界”等方法,研究并确立了三维环绕空间中任意凸棱柱和凸棱锥的空间块个数计算公式,进而简单探讨了依据LudwigSchlafli理论将公式拓展到多维空间中的思路,提及了三棱锥空间限界改进图形在结构上的优越性.

关 键 词:棱柱  棱锥  空间分割  空间限界  Ludwig  Schlafli

The Formula to Count Spatial Blocks of a Convex Prism and a Convex Pyramid in the Three-Dimensional Space
WU Wen-zhao.The Formula to Count Spatial Blocks of a Convex Prism and a Convex Pyramid in the Three-Dimensional Space[J].Journal of Anshan Teachers College,2011,13(4):15-19.
Authors:WU Wen-zhao
Institution:WU Wen-zhao(Faculty of Chemical,Environmental and Biological Science and Technology,Dalian University of Technology,Dalian Liaoning 116024,China)
Abstract:This paper discusses the quantitative property of space-partitioning by convex prisms and pyramids, and determines the formula to count spatial blocks of any convex prism and convex pyramid 3D ambient space using "Space Limitation" method, and simply discusses the method of broadening the la into hyperspaces on the basis of Ludwig Schlafli theory, and mentions the structural superiority of the derived from the space limitation figure of the triangular pyramid.
Keywords:Prism  Pyramid  Space partitioning  Space limitation  Ludwig Schlafli convex in the forlnu - object
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