Polyvise: A Tool for Exploring Four-dimensional Uniform Polytopes

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

Keywords

Mathematical Visualization, Interactive VisualRepresentations, HigherDimensional 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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