Visualization of Regular Polytopes in Three and Four Dimensions
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1994Pay-Per-View via TIB Hannover:
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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.
BibTeX
@article {10.1111:1467-8659.1330305,
journal = {Computer Graphics Forum},
title = {{Visualization of Regular Polytopes in Three and Four Dimensions}},
author = {Hausmann, Barbara and Seidel, Hans-Peter},
year = {1994},
publisher = {Blackwell Science Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.1330305}
}
journal = {Computer Graphics Forum},
title = {{Visualization of Regular Polytopes in Three and Four Dimensions}},
author = {Hausmann, Barbara and Seidel, Hans-Peter},
year = {1994},
publisher = {Blackwell Science Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.1330305}
}