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From a Subdivided Tetrahedron to the Dodecahedron: Exploring Regular Colorings

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dc.contributor.author Knoll, Eva
dc.date.accessioned 2013-02-08T15:32:47Z
dc.date.available 2013-02-08T15:32:47Z
dc.date.issued 2002
dc.identifier.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. en_US
dc.identifier.uri http://hdl.handle.net/10587/1207
dc.description.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. en_US
dc.language.iso en en_US
dc.publisher Bridges: Mathematical Connections in Art, Music, and Science en_US
dc.subject tetrahedron en_US
dc.subject dodecahedron en_US
dc.subject Symmetry -- Mathematics en_US
dc.type Conference paper en_US
dc.title From a Subdivided Tetrahedron to the Dodecahedron: Exploring Regular Colorings en_US


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