Acronym sissid
TOCID symbol D*
Name small stellated dodecahedron

` © ©`
Vertex figure [(5/2)5]
Vertex layers
 Layer Symmetry Subsymmetries o5/2o5o o5/2o . o   . o .   o5o 1 x5/2o5o o5/2o . v   . o .   o5overtex first 2 x5/2o .{5/2} first o   . xedge first .   o5v 3 o5/2x .opposite {5/2} x   . v .   v5overtex figure 4 o5/2o . o   . xopposite edge .   o5oopposite vertex 5 v   . o
Lace city
in approx. ASCII-art
``` o   o
x
v     v
x
o   o
```
Coordinates (1/2, 1/2τ, 0)   & even permutations, all changes of sign
where τ = (1+sqrt(5))/2
General of army ike
Colonel of regiment (is itself locally convex – other uniform polyhedral member: gike – other edge facetings)
Confer
Grünbaumian relatives:
2sissid   gacid   sissid+2gike   2sissid+gike   sissid+3gike   3sissid+gike   2sissid+4gike   4sissid+2gike
compounds:
passipsido   passipsi
general polytopal classes:
regular
External

As abstract polytope sissid is isomorphic to gad, thereby replacing facial pentagrams by pentagons and conversely vertex figure pentagons by corresponding pentagrams.

Incidence matrix according to Dynkin symbol

```x5/2o5o

.   . . | 12 |  5 |  5
--------+----+----+---
x   . . |  2 | 30 |  2
--------+----+----+---
x5/2o . |  5 |  5 | 12
```

```x5/3o5o

.   . . | 12 |  5 |  5
--------+----+----+---
x   . . |  2 | 30 |  2
--------+----+----+---
x5/3o . |  5 |  5 | 12
```

```o5/4o5/2x

.   .   . | 12 |  5 |  5
----------+----+----+---
.   .   x |  2 | 30 |  2
----------+----+----+---
.   o5/2x |  5 |  5 | 12
```

```o5/4o5/3x

.   .   . | 12 |  5 |  5
----------+----+----+---
.   .   x |  2 | 30 |  2
----------+----+----+---
.   o5/3x |  5 |  5 | 12
```