Polyvise: A Tool for Exploring Four-dimensional Uniform Polytopes

J. Morey, K. Sedig, and R. Mercer (Canada)

Keywords

Mathematical Visualization, Interactive VisualRepresentations, Higher-Dimensional Geometry

Abstract

This paper presents an interactive visualization tool, Polyvise, which has been designed to support the exploration of uniform 4-polytopes. Visualizing and understanding 4-polytopes is a challenging task, as the number and richness of their embedded elements can be overwhelming. To aid the visualization, manipulation, and exploration of 4-polytopes, Polyvise employs two techniques: element filtering, to dynamically display or remove visual elements of these structures; and orienting visualizations, to provide starting positions from which to navigate through these structures.

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