Morphic Polytopes and Symmetries

Guy Inchbald ()
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Guy Inchbald: Independent. Park View, Queenhill, Upton on Severn

A chapter in Complex Symmetries, 2021, pp 57-70 from Springer

Abstract: Abstract The study of symmetry began with polygons and polyhedra. Modern theories distinguish abstract and geometrical symmetries, but the relationships between these remain erratic or obscure. The morphic theory introduces an intermediate level of topological expression which helps to clarify these relationships. From this, it leads to new regular polytopes. It also offers a new approach to compound polyhedra.

Keywords: symmetry; complex; simple; polygon; polyhedron; polyhedra; polytope; abstract; morphic; geometric; concrete; topology; manifold; graph; regular; compound (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/978-3-030-88059-0_6

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