Acronym esquigybcu, J37
Name elongated square gyrobicupola,
pseudorhombicuboctahedron,
Miller's solid
Circumradius sqrt[5+2 sqrt(2)]/2 = 1.398966
 
 © ©    ©
Vertex figures [3,43]
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°
Confer
uniform relative:
op   sirco  
related Johnson solids:
squacu   escu  
general polytopal classes:
Johnson solids  
External
links
wikipedia   mathworld   quickfur

Incidence matrix according to Dynkin symbol

xxxo4oxxx&#xt   → height(1,2) = height(3,4) = 1/sqrt(2) = 0.707107
                  height(2,3) = 1
({4} || pseudo {8} || pseudo {8} || dual {4})

o...4o...    | 4 * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0
.o..4.o..    | * 8 * * | 0 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0 0 0
..o.4..o.    | * * 8 * | 0 0 0 0 1 1 1 1 0 | 0 0 0 1 1 1 1 0
...o4...o    | * * * 4 | 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 1 2 1
-------------+---------+-------------------+----------------
x... ....    | 2 0 0 0 | 4 * * * * * * * * | 1 1 0 0 0 0 0 0
oo..4oo..&#x | 1 1 0 0 | * 8 * * * * * * * | 0 1 1 0 0 0 0 0
.x.. ....    | 0 2 0 0 | * * 4 * * * * * * | 0 1 0 1 0 0 0 0
.... .x..    | 0 2 0 0 | * * * 4 * * * * * | 0 0 1 0 1 0 0 0
.oo.4.oo.&#x | 0 1 1 0 | * * * * 8 * * * * | 0 0 0 1 1 0 0 0
..x. ....    | 0 0 2 0 | * * * * * 4 * * * | 0 0 0 1 0 1 0 0
.... ..x.    | 0 0 2 0 | * * * * * * 4 * * | 0 0 0 0 1 0 1 0
..oo4..oo&#x | 0 0 1 1 | * * * * * * * 8 * | 0 0 0 0 0 1 1 0
.... ...x    | 0 0 0 2 | * * * * * * * * 4 | 0 0 0 0 0 0 1 1
-------------+---------+-------------------+----------------
x...4o...    | 4 0 0 0 | 4 0 0 0 0 0 0 0 0 | 1 * * * * * * *
xx.. ....&#x | 2 2 0 0 | 1 2 1 0 0 0 0 0 0 | * 4 * * * * * *
.... ox..&#x | 1 2 0 0 | 0 2 0 1 0 0 0 0 0 | * * 4 * * * * *
.xx. ....&#x | 0 2 2 0 | 0 0 1 0 2 1 0 0 0 | * * * 4 * * * *
.... .xx.&#x | 0 2 2 0 | 0 0 0 1 2 0 1 0 0 | * * * * 4 * * *
..xo ....&#x | 0 0 2 1 | 0 0 0 0 0 1 0 2 0 | * * * * * 4 * *
.... ..xx&#x | 0 0 2 2 | 0 0 0 0 0 0 1 2 1 | * * * * * * 4 *
...o4...x    | 0 0 0 4 | 0 0 0 0 0 0 0 0 4 | * * * * * * * 1
or
o...4o...    & | 8  * | 2  2 0 0 0 | 1 2 1 0
.o..4.o..    & | * 16 | 0  1 1 1 1 | 0 1 1 2
---------------+------+------------+--------
x... ....    & | 2  0 | 8  * * * * | 1 1 0 0
oo..4oo..&#x & | 1  1 | * 16 * * * | 0 1 1 0
.x.. ....    & | 0  2 | *  * 8 * * | 0 1 0 1
.... .x..    & | 0  2 | *  * * 8 * | 0 0 1 1
.oo.4.oo.&#x   | 0  2 | *  * * * 8 | 0 0 0 2
---------------+------+------------+--------
x...4o...    & | 4  0 | 4  0 0 0 0 | 2 * * *
xx.. ....&#x & | 2  2 | 1  2 1 0 0 | * 8 * *
.... ox..&#x & | 1  2 | 0  2 0 1 0 | * * 8 *
.xx. ....&#x   | 0  4 | 0  0 1 1 2 | * * * 8

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