Platonic & Archimedean, neoplatonized

Named solids in their neoplatonic reading: triangle faces kept, squares and pentagons capped by unit pyramids, hexagons filled by flat unit fans (faces are in the eye of the beholder). Generated from Antiprism models (builders/classics.py); variants that collapse to the same net share a cell. Blue models are the degree-7 members: no Euclidean form, realized hyperbolically up to α = 360/7.

Platonic

v4CCAE v=4 · tetrahedron
v14CCCACCCACCACCACAACDEDEBE v=14 · cube; pri4…
v6CCCACAAE v=6 · octahedron; ant3…
v12CCCCACCACACACAACAAAE v=12 · icosahedron; ant5…
v32CCCCACCCACCACCACCACACACCAACCA…AAACAAAE v=32 · dodecahedron; j58…

Archimedean

v18CCCACCCACCACCACACCAACAACAADECAAE v=18 · cuboctahedron
v16CCCCACCACACCACACACACAACAAAAE v=16 · truncated tetrahedron
v38CCCACCCACCACCACACCACCACACCACA…CAAACAAE v=38 · truncated octahedron
v42CCCACCCCACCCACCCACCAACCCAACCA…EEDEBDEE v=42 · rhombicuboctahedron · hyperbolic, α ≤ 360/7
v30CCCACCCACCACCACACCACCACACCACA…DEAACAAE v=30 · snub cube
v42CCCCACCCACCACCACCACACCACACACA…ADECAAAE v=42 · icosidodecahedron
v92CCCCACCCACCACCACCACACCACCACAC…AAACAAAE v=92 · truncated icosahedron (soccer ball)
v102CCCACCCCACCCACCCACCACACCCAAC…EEDEBDEE v=102 · rhombicosidodecahedron · hyperbolic, α ≤ 360/7
v72CCCCACCCACCACCACCACACCACCACAC…DEDEDEBE v=72 · snub dodecahedron