Acronym	pabidrid, J80
Name	parabidiminished rhombicosidodecahedron
	© ©
Circumradius	sqrt[sqrt(5)+11/4] = 2.232951
Vertex figures	[4,5,10], [3,4,5,4]
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Confer	johnson   srid   dirid
External links

Incidence matrix

10  * * *  *  * | 1 1  1 0  0  0  0  0 0  0 0 0 | 1 1 1 0  0 0 0 0 0  at top {10}
 * 10 * *  *  * | 0 0  1 1  1  1  0  0 0  0 0 0 | 0 1 1 1  1 0 0 0 0
 *  * 5 *  *  * | 0 0  0 0  2  0  2  0 0  0 0 0 | 0 0 1 0  2 1 0 0 0
 *  * * 5  *  * | 0 0  0 0  0  2  0  2 0  0 0 0 | 0 0 0 1  2 0 1 0 0
 *  * * * 10  * | 0 0  0 0  0  0  1  1 1  1 0 0 | 0 0 0 0  1 1 1 1 0
 *  * * *  * 10 | 0 0  0 0  0  0  0  0 0  1 1 1 | 0 0 0 0  0 0 1 1 1  at bottom {10}
----------------+-------------------------------+-------------------
 2  0 0 0  0  0 | 5 *  * *  *  *  *  * *  * * * | 1 1 0 0  0 0 0 0 0  {4},{10}-join
 2  0 0 0  0  0 | * 5  * *  *  *  *  * *  * * * | 1 0 1 0  0 0 0 0 0  {5},{10}-join
 1  1 0 0  0  0 | * * 10 *  *  *  *  * *  * * * | 0 1 1 0  0 0 0 0 0
 0  2 0 0  0  0 | * *  * 5  *  *  *  * *  * * * | 0 1 0 1  0 0 0 0 0
 0  1 1 0  0  0 | * *  * * 10  *  *  * *  * * * | 0 0 1 0  1 0 0 0 0
 0  1 0 1  0  0 | * *  * *  * 10  *  * *  * * * | 0 0 0 1  1 0 0 0 0
 0  0 1 0  1  0 | * *  * *  *  * 10  * *  * * * | 0 0 0 0  1 1 0 0 0
 0  0 0 1  1  0 | * *  * *  *  *  * 10 *  * * * | 0 0 0 0  1 0 1 0 0
 0  0 0 0  2  0 | * *  * *  *  *  *  * 5  * * * | 0 0 0 0  0 1 0 1 0
 0  0 0 0  1  1 | * *  * *  *  *  *  * * 10 * * | 0 0 0 0  0 0 1 1 0
 0  0 0 0  0  2 | * *  * *  *  *  *  * *  * 5 * | 0 0 0 0  0 0 1 0 1  {5},{10}-join
 0  0 0 0  0  2 | * *  * *  *  *  *  * *  * * 5 | 0 0 0 0  0 0 0 1 1  {4},{10}-join
----------------+-------------------------------+-------------------
10  0 0 0  0  0 | 5 5  0 0  0  0  0  0 0  0 0 0 | 1 * * *  * * * * *  top {10}
 2  2 0 0  0  0 | 1 0  2 1  0  0  0  0 0  0 0 0 | * 5 * *  * * * * *
 2  2 1 0  0  0 | 0 1  2 0  2  0  0  0 0  0 0 0 | * * 5 *  * * * * *
 0  2 0 1  0  0 | 0 0  0 1  0  2  0  0 0  0 0 0 | * * * 5  * * * * *
 0  1 1 1  1  0 | 0 0  0 0  1  1  1  1 0  0 0 0 | * * * * 10 * * * *
 0  0 1 0  2  0 | 0 0  0 0  0  0  2  0 1  0 0 0 | * * * *  * 5 * * *
 0  0 0 1  2  2 | 0 0  0 0  0  0  0  2 0  2 1 0 | * * * *  * * 5 * *
 0  0 0 0  2  2 | 0 0  0 0  0  0  0  0 1  2 0 1 | * * * *  * * * 5 *
 0  0 0 0  0 10 | 0 0  0 0  0  0  0  0 0  0 5 5 | * * * *  * * * * 1  bottom {10}
 
or
20  *  * |  1  1  1  0  0  0 | 1  1  1  0  0  polar, at {10}
 * 20  * |  0  0  1  1  1  1 | 0  1  1  1  1  tropical
 *  * 10 |  0  0  0  0  2  2 | 0  0  1  1  2  medial
---------+-------------------+--------------
 2  0  0 | 10  *  *  *  *  * | 1  1  0  0  0  {4},{10}-join
 2  0  0 |  * 10  *  *  *  * | 1  0  1  0  0  {5},{10}-join
 1  1  0 |  *  * 20  *  *  * | 0  1  1  0  0
 0  2  0 |  *  *  * 10  *  * | 0  1  0  1  0
 0  1  1 |  *  *  *  * 20  * | 0  0  1  0  1  {4},{5}-join
 0  1  1 |  *  *  *  *  * 20 | 0  0  0  1  1  {3},{4}-join
---------+-------------------+--------------
10  0  0 |  5  5  0  0  0  0 | 2  *  *  *  *  {10}
 2  2  0 |  1  0  2  1  0  0 | * 10  *  *  *  polar {4}
 2  2  1 |  0  1  2  0  2  0 | *  * 10  *  *  {5}
 0  2  1 |  0  0  0  1  0  2 | *  *  * 10  *  {3}
 0  2  2 |  0  0  0  0  2  2 | *  *  *  * 10  equatorial {4}