Simple equations giving shapes of various convex polyhedra: the regular polyhedra and polyhedra composed of crystallographically low-index planes
Simple equations giving shapes of various convex polyhedra: the regular polyhedra and polyhedra composed of crystallographically low-index planes
复制标题
给出各种凸多面体形状的简单方程：正多面体和由晶体学低折射率平面组成的多面体
DOI：
10.1080/09500830600603050
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发表时间：
2006
影响因子：
1.2
通讯作者：
S. Onaka
中科院分区：
文献类型：
--
作者：
S. Onaka
简单的方程推导出各种凸多面体的形状。五个正多面体，称为柏拉图固体（四面体，六面体或立方体，八面体，十二面体和二十面体），和多面体组成的晶体学低指数平面的治疗。这些方程还给出了具有圆边的近似多面体的形状，或介于球体和凸多面体之间的中间形状，并且观察到材料中的小颗粒或沉淀物的形状。
Simple equations are derived that give the shapes of various convex polyhedra. The five regular polyhedra, called Platonic solids (the tetrahedron, hexahedron or cube, octahedron, dodecahedron and icosahedron), and polyhedra composed of crystallographically low-index planes are treated. The equations also give shapes that are nearly polyhedral with round edges, or intermediate shapes between a sphere and convex polyhedra, and which are observed as the shapes of small particles or precipitates in materials.