Extensions To Conway's Symbols
The above operations allow all of the semiregular polyhedrons and Catalan solids to be generated from regular polyhedrons. Combined many higher operations can be made, but many interesting higher order polyhedra require new operators to be constructed.
For example, geometric artist George W. Hart created an operation he called a propellor, and another reflect to create mirror images of the rotated forms.
- p - "propellor" (A rotation operator that creates quadrilaterals at the vertices). This operation is self-dual: dpX=pdX.
- r - "reflect" - makes the mirror image of the seed; it has no effect unless the seed was made with s or g.
Read more about this topic: Conway Polyhedron Notation
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