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On the construction and display of a polytopal mesh for theN-dimensional hypercube and (N+ 1) simplex

Authors
Journal
Computers & Graphics
0097-8493
Publisher
Elsevier
Publication Date
Volume
11
Issue
3
Identifiers
DOI: 10.1016/0097-8493(87)90008-2
Disciplines
  • Design

Abstract

Abstract By considering the analytical properties of polytopes it is possible to design a general data structure, a polytopal mesh, to represent such N-dimensional objects. Further investigation of the N-dimensional hypercube leads to the construction of a ternary code for representing the hypercube and the interconnection between levels of the polytopal mesh. This technique has been extended to other convex polytopes and specific examples of the N-dimensional cross polytope and simplex are given. Various projection techniques are used to display the convex polytopes on a two dimensional viewport.

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