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The Klein quartic is a two-dimensional curve which can be embedded in four-dimensional space which is invariant under the Klein-168 group actions. The snub cube can be augmented to become a combinatorial polyhedral model of the Klein quartic. There is a sextic curve in four dimensions which is invariant under the Valentiner group, which is a group of projective tranformations in the complex projective plane. We will attempt to construct a model for this Valentiner sextic which would be analogous to the snub cube model for the Klein quartic.
Advisor: | Crass, Scot |
Commitee: | |
School: | California State University, Long Beach |
School Location: | United States -- California |
Source: | MAI 50/01M, Masters Abstracts International |
Source Type: | DISSERTATION |
Subjects: | Mathematics, Theoretical Mathematics |
Keywords: | |
Publication Number: | 1499263 |
ISBN: | 978-1-124-85749-7 |