Conway Polyhedron Notation - Generating Regular Seeds

Generating Regular Seeds

All of the five regular polyhedra can be generated from prismatic generators with zero to two operators:

  • Triangular pyramid: Y3 (A tetrahedron is a special pyramid)
    • T = Y3
    • O = aY3 (Rectified tetrahedron)
    • C = daY3 (dual to rectified tetrahedron)
    • I = sY3 (snub tetrahedron)
    • D = dsY3 (dual to snub tetrahedron)
  • Triangular antiprism: A3 (An octahedron is a special antiprism)
    • O = A3
    • C = dA3
  • Square prism: P4 (A cube is a special prism)
    • C = P4
  • Pentagonal antiprism: A5
    • I = k5A5 (A special gyroelongated dipyramid)
    • D = t5dA5 (A special truncated trapezohedron)

Read more about this topic:  Conway Polyhedron Notation

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