Issue No. 05 - September/October (2017 vol. 37)
Peichang Ouyang , Jinggangshan University
Xinchang Wang , Jinggangshan University
Yongman Zhao , Shihezi University
Symmetry can be widely found in natural phenomenon. Regular polygons and polyhedra are the most basic and important symmetrical structures in 2D and 3D Euclidean space. Four-dimensional regular polytopes (4-RPs) are the 4D analogs of regular polyhedra in three dimensions and regular polygons in two dimensions. After introducing the fundamental root systems of 4-RPs, this article presents three interesting methods to visualize 4-RPs using a fundamental region algorithm.
Three-dimensional displays, Two dimensional displays, Visualization, Symmetric matrices, Algorithm design and analysis
P. Ouyang, X. Wang and Y. Zhao, "Beautiful Math, Part 6: Visualizing 4D Regular Polytopes Using the Kaleidoscope Principle," in IEEE Computer Graphics and Applications, vol. 37, no. 5, pp. 92-97, 2017.