Acronym	saddid
TOCID symbol	dID
Name	small dodekicosidodecahedron
	© ©
Circumradius	sqrt[sqrt(5)+11/4] = 2.232951
Vertex figure	[3/2,10,5,10]
Snub derivation
General of army	srid
Colonel of regiment	srid
External links

As abstract polytope saddid is isomorphic to gaddid, sidditdid, and gidditdid, thereby replacing retrograde pentagons and decagons respectively by pentagrams and decagrams, by retrograde pentagrams and decagons, by pentagons and decagrams. – As such saddid is a lieutenant.

The small dodekicosidodecahedron is an edge-faceting of the small rhombicosidodecahedron (srid).

Incidence matrix according to Dynkin symbol

x3/2o5x5*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   . x5*a | 10 |  5  5 |  * 12  *
.   o5x    |  5 |  0  5 |  *  * 12

x5/4o3x5*a

.   . .    | 60 |  2  2 |  1  2  1
-----------+----+-------+---------
x   . .    |  2 | 60  * |  1  1  0
.   . x    |  2 |  * 60 |  0  1  1
-----------+----+-------+---------
x5/4o .    |  5 |  5  0 | 12  *  *
x   . x5*a | 10 |  5  5 |  * 12  *
.   o3x    |  3 |  0  3 |  *  * 20

β3o5x

both( . . . ) | 60 |  2  2 |  1  1  2
--------------+----+-------+---------
both( . . x ) |  2 | 60  * |  0  1  1
sefa( β3o . ) |  2 |  * 60 |  1  0  1
--------------+----+-------+---------
      β3o .   ♦  3 |  0  3 | 20  *  *
both( . o5x ) |  5 |  5  0 |  * 12  *
sefa( β3o5x ) | 10 |  5  5 |  *  * 12