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Visualization of Regular Polytopes in Three and Four Dimensions
Author(s) -
Hausmann Barbara,
Seidel HansPeter
Publication year - 1994
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/1467-8659.1330305
Subject(s) - polytope , slicing , visualization , perspective (graphical) , projection (relational algebra) , computer science , polytope model , computer graphics (images) , software , combinatorics , mathematics , theoretical computer science , algorithm , artificial intelligence , programming language
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.