Polyverse: Geometry of the Coxeter groups
Jean Constant
Mas 2023 · The MATH-ART series Ibhuku elingu-13 · Hermay NM
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A 52-illustration, notes, and references book exploring the geometry of H. Coxeter surfaces. Coxeter was instrumental in many discoveries in the field of geometry and computer sciences. He opened the door to the 4th dimension to all studying higher spaces. Exploring these groups has some practical applications in mineralogy, architecture, linear programming, and other areas; mostly, people enjoy contemplating the figures because of their symmetrical shapes and aesthetic appeal. For artists, it is a limitless trove of inspiration. This illustrated book results from some of the most striking Coxeter examples of geometry in higher dimensions.
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Jean Constant is an artist and researcher in Visual Communication. His interest in Science and Art led him to conduct extensive research in Mathematics, Science, and Art that he uses in the classroom and shares in lectures and exhibits in the US and around the world. He publishes his research in numerous academic and professional journals and is the author of the ongoing Mathematics and Art series.
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