Acronym siid TOCID symbol iID* Name small icosicosidodecahedron ` © ©` Circumradius sqrt[(17+3 sqrt(5))/8] = 1.721489 Vertex figure [5/2,6,3,6] Snub derivation General of army f3o5x Colonel of regiment (is itself locally convex – other uniform polyhedral members: sidditdid   siddy – other edge facetings) Externallinks

As abstract polytope siid is isomorphic to giid, thereby replacing pentagrams by pentagons and prograde triangles by retrograde ones.

Incidence matrix according to Dynkin symbol

```x5/2o3x3*a

.   . .    | 60 |  2  2 |  1  2  1
-----------+----+-------+---------
x   . .    |  2 | 60  * |  1  1  0
.   . x    |  2 |  * 60 |  0  1  1
-----------+----+-------+---------
x5/2o .    |  5 |  5  0 | 12  *  *
x   . x3*a |  6 |  3  3 |  * 20  *
.   o3x    |  3 |  0  3 |  *  * 20
```

```x3/2o5/3x3*a

.   .   .    | 60 |  2  2 |  1  2  1
-------------+----+-------+---------
x   .   .    |  2 | 60  * |  1  1  0
.   .   x    |  2 |  * 60 |  0  1  1
-------------+----+-------+---------
x3/2o   .    |  3 |  3  0 | 20  *  *
x   .   x3*a |  6 |  3  3 |  * 20  *
.   o5/3x    |  5 |  0  5 |  *  * 12
```

```β5o3x

both( . . . ) | 60 |  2  2 |  1  1  2
--------------+----+-------+---------
both( . . x ) |  2 | 60  * |  0  1  1
sefa( β5o . ) |  2 |  * 60 |  1  0  1
--------------+----+-------+---------
β5o .   ♦  5 |  0  5 | 12  *  *
both( . o3x ) |  3 |  3  0 |  * 20  *
sefa( β5o3x ) |  6 |  3  3 |  *  * 20
```

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