From a Subdivided Tetrahedron to the Dodecahedron: Exploring Regular Colorings
Loading...
Date
2002
Authors
Knoll, Eva
Journal Title
Journal ISSN
Volume Title
Publisher
Bridges: Mathematical Connections in Art, Music, and Science
Abstract
The following paper recounts the stages of a stroll through symmetry relationships between the regular tetrahedron
whose faces were subdivided into symmetrical kites and the regular dodecahedron. I will use transformations such as
stretching edges and faces and splitting vertices. The simplest non-adjacent regular coloring, which illustrates
inherent symmetry properties of regular solids, will help to keep track of the transformations and reveal underlying
relationships between the polyhedra. In the conclusion, we will make observations about the handedness of the
various stages, and discuss the possibility of applying the process to other regular polyhedra.
Description
Keywords
tetrahedron , dodecahedron , Symmetry -- Mathematics
Citation
Knoll, E. (2002). From a Subdivided Tetrahedron to the Dodecahedron: Exploring Regular Colorings. In Sarhangi, R., (Ed.), Bridges: Mathematical Connections in Art, Music and Science, pp. 257-261.