3D Visualization Model of the Regular Polytopes in Four and Higher Dimensions

Carlo H. Séquin
Bridges: Mathematical Connections in Art, Music, and Science (2002)
Pages 37–48


This paper presents a tutorial review of the construction of all regular polytopes in spaces of all possible dimensions. It focusses on how to make instructive, 3-dimensional, physical visualization models for the polytopes of dimensions 4 through 6, using solid free-form fabrication technology.