From a Subdivided Tetrahedron to the Dodecahedron: Exploring Regular Colorings

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Reference

Eva Knoll: From a Subdivided Tetrahedron to the Dodecahedron: Exploring Regular Colorings. In: Bridges 2002.

DOI

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 transfonnations such as stretching edges and faces and splitting vertices. The simplest non-adjacent regular coloringl, 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.

Extended Abstract

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Full Text

http://archive.bridgesmathart.org/2002/bridges2002-257.pdf

intern file

Sonstige Links

Pages 257–261 http://archive.bridgesmathart.org/2002/bridges2002-257.html