Acronym	escu, J19
Name	elongated square cupola, diminished small rhombicuboctahedron
VRML	⭳ ©
Circumradius	sqrt[5+2 sqrt(2)]/2 = 1.398966
Vertex figures	[3,43], [42,8]
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Dihedral angles	between {3} and {4}:   arccos[-sqrt(2/3)] = 144.735610° between {4} and {4}:   135° between {4} and {8}:   90°
Face vector	20, 36, 18
Confer	uniform relative: op   sirco   related Johnson solids: squacu   esquigybcu   general polytopal classes: Johnson solids   bistratic lace towers
External links

This polyhedron is an edge-faceting of the small rhombicuboctahedron (sirco).

Incidence matrix according to Dynkin symbol

xxx4oxx&#xt   → height(1,2) = 1/sqrt(2) = 0.707107
                height(2,3) = 1
({4} || pseudo {8} || {8})

o..4o..    | 4 * * | 2 2 0 0 0 0 0 | 1 2 1 0 0 0
.o.4.o.    | * 8 * | 0 1 1 1 1 0 0 | 0 1 1 1 1 0
..o4..o    | * * 8 | 0 0 0 0 1 1 1 | 0 0 0 1 1 1
-----------+-------+---------------+------------
x.. ...    | 2 0 0 | 4 * * * * * * | 1 1 0 0 0 0
oo.4oo.&#x | 1 1 0 | * 8 * * * * * | 0 1 1 0 0 0
.x. ...    | 0 2 0 | * * 4 * * * * | 0 1 0 1 0 0
... .x.    | 0 2 0 | * * * 4 * * * | 0 0 1 0 1 0
.oo4.oo&#x | 0 1 1 | * * * * 8 * * | 0 0 0 1 1 0
..x ...    | 0 0 2 | * * * * * 4 * | 0 0 0 1 0 1
... ..x    | 0 0 2 | * * * * * * 4 | 0 0 0 0 1 1
-----------+-------+---------------+------------
x..4o..    | 4 0 0 | 4 0 0 0 0 0 0 | 1 * * * * *
xx. ...&#x | 2 2 0 | 1 2 1 0 0 0 0 | * 4 * * * *
... ox.&#x | 1 2 0 | 0 2 0 1 0 0 0 | * * 4 * * *
.xx ...&#x | 0 2 2 | 0 0 1 0 2 1 0 | * * * 4 * *
... .xx&#x | 0 2 2 | 0 0 0 1 2 0 1 | * * * * 4 *
..x4..x    | 0 0 8 | 0 0 0 0 0 4 4 | * * * * * 1