Subdivision
Composite
u1u2u3u4
u22
u5u6
u2u3
u7u8
u23
u9
u32
u10
u2u5
u11u12
u22u3
Face
triangle
Conway <seed>dcddtkd = ktdccd?dctkddwrwddcccddtktkd = ktkt??dcctkd
Icosahedron
dD=I

dcD

ktI

dccD

dctkD

dwrwD

dcccD

ktktI

dcctkD
Dodecahedron
Conway
Goldberg

D
G(1,0)

cD
G(2,0)

tkD
G(3,0)

ccD
G(4,0)

 
G(5,0)

ctkD
G(6,0)

wrwD
G(7,0)

cccD
G(8,0)

tktkD
G(9,0)
G(10,0) G(11,0)
cctkD
G(12,0)


SubdivisionConwayTriangleIcosahedron
u1-, I
u2dcd, dcdI=dcD
u3dtkd = kt, ktI
u4 = u22dccd, dccD
u5?
u6 = u2u3dctkd, dctkD
u7dwrwd, dwrwD
u8 = u23dcccd, dcccD
u9 = u32dtktkd = ktkt, ktktI
u10 = u2u5?
u11?
u12 = u22u3dcctkd, dcctkD
u13?
u14 = u2u7dcwrwd, dcwrwD
u15 = u3u5?
u16 = u24dccccd, dccccD
u17?
u18 = u2u32dctktkd