Conway polyhedron notation is used to describe polyhedra based on a seed polyhedron modified by various operations.
The seed polyhedra are the Platonic solids, represented by their first letter of their name (T,O,C,I,D); the prisms (Pn), antiprisms (An) and pyramids (Yn). Any convex polyhedron can serve as a seed, as long as the operations can be executed on it.
John Conway extended the idea of using operators, like truncation defined by Kepler, to build related polyhedra of the same symmetry. His descriptive operators can generate all the Archimedean solids and Catalan solids from regular seeds. Applied in a series, these operators allow many higher order polyhedra to be generated.
Read more about Conway Polyhedron Notation: Operations On Polyhedra, Examples, Generating Regular Seeds, Extensions To Conway's Symbols, Geometric Coordinates of Derived Forms, Other Polyhedra
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