Visualization of Regular Polytopes in Three and Four Dimensions
Visualization of Regular Polytopes in Three and Four Dimensions
复制标题
三维和四维规则多面体的可视化
DOI：
10.1111/1467-8659.1330305
复制
发表时间：
1994
影响因子：
2.5
通讯作者：
H. Seidel
中科院分区：
文献类型：
--
作者：
Barbara Hausmann;H. Seidel
非平凡的正多胞体仅存在于三维和四维中。本文描述了一个软件包，可以交互式地可视化和分析这些规则的多胞形。可以使用以下四种工具：施莱格尔图的显示、透视投影（可以在投影前在三维/四维空间中交互式旋转多面体）、沿各个方向的交互式切片、剪切和折叠。各种示例说明了该方法。
Nontrivial regular polytopes only exist in three and four dimensions. This paper describes a software package that allows to interactively visualize and analyze these regular polytopes. The following four tools are available: Display of the Schlegel diagrams, perspective projections with the possibility of interactively rotating the polytope in three‐/four‐dimensional space before projection, interactive slicing along various directions, cut‐throughs and fold‐downs. Various examples illustrate the approach.