Snapology candidates: convex polyhedra

Didaktik-Kolloquium am 26. November 2010
Friedrich-Schiller-Universität Jena

Heinz Strobl www.knotologie.de

Class number of members
Platonic solids 5
Archimedean solids 13 + 2
Prisms and antiprisms 2 x n
Johnson solids
____pyramids and cupolas
____modified pyramids
____modified cupolas and rotundas
____augmented prisms
____modified Platonic solids
____modified Archimedean solids
____the rest
in total 92
6
11
31
9
7
19
9
Catalan solids (duals of Archimedeans) 2 out of 13 + 2
Archimedean and Catalan solids have each two members that come in 2 chiral forms (different mirror images).
In Special Snapology we deal only with equilateral faces. Only two Catalan solids have equilateral faces: The rhombic dodecahedron and the rhombic triacontahedron.
There are n ≥ 3 equilateral prisms and n ≥ 3 equilateral antiprisms.