Acronym	gyesquibcu, J45
Name	gyroelongated square bicupola
	© ©
Vertex figures	[3,43], [34,4]
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Face vector	24, 56, 34
Confer	uniform relative: oap   related Johnson solids: squacu   gyescu   general polytopal classes: Johnson solids
External links

Comes in 2 enantiomorph chiral versions.

Incidence matrix according to Dynkin symbol

oxos8soxo&#xt   → height(1,2) = height(3,4) = 1/sqrt(2) = 0.707107
                  height(2,3) = sqrt[(1+2*cos(π/8))/(2+2*cos(π/8))] = 0.860296
({4} || pseudo {8} || dual pseudo {8} || gyro {4})

demi( o...8o...    ) | 4 * * * * * | 2 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0 0 0
demi( .o..8.o..    ) | * 4 * * * * | 0 1 0 2 0 1 1 0 0 0 0 0 0 0 | 0 1 1 1 1 1 0 0 0 0
demi( .o..8.o..    ) | * * 4 * * * | 0 0 1 0 2 0 0 1 1 0 0 0 0 0 | 0 1 1 1 1 0 1 0 0 0
demi( ..o.8..o.    ) | * * * 4 * * | 0 0 0 0 0 1 0 1 0 2 0 1 0 0 | 0 0 0 1 0 1 1 1 1 0
demi( ..o.8..o.    ) | * * * * 4 * | 0 0 0 0 0 0 1 0 1 0 2 0 1 0 | 0 0 0 0 1 1 1 1 1 0
demi( ...o8...o    ) | * * * * * 4 | 0 0 0 0 0 0 0 0 0 0 0 1 1 2 | 0 0 0 0 0 0 0 1 2 1
---------------------+-------------+-----------------------------+--------------------
sefa( o...8s...    ) | 2 0 0 0 0 0 | 4 * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0
demi( oo..8oo..&#x ) | 1 1 0 0 0 0 | * 4 * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0
demi( oo..8oo..&#x ) | 1 0 1 0 0 0 | * * 4 * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0
demi( .x.. ....    ) | 0 2 0 0 0 0 | * * * 4 * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0
demi( .x.. ....    ) | 0 0 2 0 0 0 | * * * * 4 * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0
      .oo.8.oo.&#x   | 0 1 0 1 0 0 | * * * * * 4 * * * * * * * * | 0 0 0 1 0 0 1 0 0 0
      .oo.8.oo.&#x   | 0 1 0 0 1 0 | * * * * * * 4 * * * * * * * | 0 0 0 1 0 1 0 0 0 0
      .oo.8.oo.&#x   | 0 0 1 1 0 0 | * * * * * * * 4 * * * * * * | 0 0 0 0 1 1 0 0 0 0
      .oo.8.oo.&#x   | 0 0 1 0 1 0 | * * * * * * * * 4 * * * * * | 0 0 0 0 1 0 1 0 0 0
demi( .... ..x.    ) | 0 0 0 2 0 0 | * * * * * * * * * 4 * * * * | 0 0 0 0 0 1 0 1 0 0
demi( .... ..x.    ) | 0 0 0 0 2 0 | * * * * * * * * * * 4 * * * | 0 0 0 0 0 0 1 0 1 0
demi( ..oo8..oo&#x ) | 0 0 0 1 0 1 | * * * * * * * * * * * 4 * * | 0 0 0 0 0 0 0 1 1 0
demi( ..oo8..oo&#x ) | 0 0 0 0 1 1 | * * * * * * * * * * * * 4 * | 0 0 0 0 0 0 0 1 1 0
sefa( ...s8...o    ) | 0 0 0 0 0 2 | * * * * * * * * * * * * * 4 | 0 0 0 0 0 0 0 0 1 1
---------------------+-------------+-----------------------------+--------------------
      o...8s...      | 4 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * *
sefa( ox..8so..&#x ) | 2 1 1 0 0 0 | 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * * *
demi( ox.. ....&#x ) | 1 1 1 0 0 0 | 0 1 1 0 1 0 0 0 0 0 0 0 0 0 | * * 4 * * * * * * *
demi( .xo. ....&#x ) | 0 1 1 1 0 0 | 0 0 0 1 0 1 1 0 0 0 0 0 0 0 | * * * 4 * * * * * *
demi( .xo. ....&#x ) | 0 1 1 0 1 0 | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | * * * * 4 * * * * *
demi( .... .ox.&#x ) | 0 1 0 1 1 0 | 0 0 0 0 0 0 1 1 0 1 0 0 0 0 | * * * * * 4 * * * *
demi( .... .ox.&#x ) | 0 0 1 1 1 0 | 0 0 0 0 0 1 0 0 1 0 1 0 0 0 | * * * * * * 4 * * *
demi( .... ..xo&#x ) | 0 0 0 1 1 1 | 0 0 0 0 0 0 0 0 0 1 0 1 1 0 | * * * * * * * 4 * *
sefa( ..os8..xo&#x ) | 0 0 0 1 1 2 | 0 0 0 0 0 0 0 0 0 0 1 1 1 1 | * * * * * * * * 4 *
      ...s8...o      | 0 0 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * 1