| Subdivision Composite |
u1 | u2 | u3 | u4 u22 |
u5 | u6 u2u3 |
u7 | u8 u23 |
u9 u32 |
u10 u2u5 |
u11 | u12 u22u3 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Face triangle |
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| Conway | <seed> | dcd | dtkd = kt | dccd | ? | dctkd | dwrwd | dcccd | dtktkd = 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) |
| Subdivision | Conway | Triangle | Icosahedron |
| u1 | - | |
, I
|
| u2 | dcd | |
, dcdI=dcD
|
| u3 | dtkd = kt | |
, ktI
|
| u4 = u22 | dccd | |
, dccD
|
| u5 | ? |
| |
| u6 = u2u3 | dctkd | |
, dctkD
|
| u7 | dwrwd | |
, dwrwD
|
| u8 = u23 | dcccd | |
, dcccD
|
| u9 = u32 | dtktkd = ktkt | |
, ktktI
|
| u10 = u2u5 | ? |
| |
| u11 | ? |
| |
| u12 = u22u3 | dcctkd | |
, dcctkD
|
| u13 | ? | ||
| u14 = u2u7 | dcwrwd |  , dcwrwD
| |
| u15 = u3u5 | ? | ||
| u16 = u24 | dccccd |  , dccccD
| |
| u17 | ? | ||
| u18 = u2u32 | dctktkd |