Acronym	gyepibcu, J46
Name	gyroelongated pentagonal bicupola
	© ©
Vertex figures	[3,4,5,4], [34,4]
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Face vector	30, 70, 42
Confer	uniform relative: dap   related Johnson solids: pecu   gyepcu   general polytopal classes: Johnson solids
External links

Comes in 2 enantiomorph chiral versions.

Incidence matrix according to Dynkin symbol

oxos10soxo&#xt   → height(1,2) = height(3,4) = sqrt((5-sqrt(5))/10) = 0.525731
                    height(2,3) = sqrt[(1+2*cos(π/10))/(2+2*cos(π/10))] = 0.862397
({5} || pseudo {10} || dual pseudo {10} || gyro {5})

demi( o...10o...    ) | 5 * * * * * | 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..10.o..    ) | * 5 * * * * | 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..10.o..    ) | * * 5 * * * | 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.10..o.    ) | * * * 5 * * | 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.10..o.    ) | * * * * 5 * | 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( ...o10...o    ) | * * * * * 5 | 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...10s...    ) | 2 0 0 0 0 0 | 5 * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0
demi( oo..10oo..&#x ) | 1 1 0 0 0 0 | * 5 * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0
demi( oo..10oo..&#x ) | 1 0 1 0 0 0 | * * 5 * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0
demi( .x..  ....    ) | 0 2 0 0 0 0 | * * * 5 * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0
demi( .x..  ....    ) | 0 0 2 0 0 0 | * * * * 5 * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0
      .oo.10.oo.&#x   | 0 1 0 1 0 0 | * * * * * 5 * * * * * * * * | 0 0 0 1 0 0 1 0 0 0
      .oo.10.oo.&#x   | 0 1 0 0 1 0 | * * * * * * 5 * * * * * * * | 0 0 0 1 0 1 0 0 0 0
      .oo.10.oo.&#x   | 0 0 1 1 0 0 | * * * * * * * 5 * * * * * * | 0 0 0 0 1 1 0 0 0 0
      .oo.10.oo.&#x   | 0 0 1 0 1 0 | * * * * * * * * 5 * * * * * | 0 0 0 0 1 0 1 0 0 0
demi( ....  ..x.    ) | 0 0 0 2 0 0 | * * * * * * * * * 5 * * * * | 0 0 0 0 0 1 0 1 0 0
demi( ....  ..x.    ) | 0 0 0 0 2 0 | * * * * * * * * * * 5 * * * | 0 0 0 0 0 0 1 0 1 0
demi( ..oo10..oo&#x ) | 0 0 0 1 0 1 | * * * * * * * * * * * 5 * * | 0 0 0 0 0 0 0 1 1 0
demi( ..oo10..oo&#x ) | 0 0 0 0 1 1 | * * * * * * * * * * * * 5 * | 0 0 0 0 0 0 0 1 1 0
sefa( ...s10...o    ) | 0 0 0 0 0 2 | * * * * * * * * * * * * * 5 | 0 0 0 0 0 0 0 0 1 1
----------------------+-------------+-----------------------------+--------------------
      o...10s...      | 5 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * *
sefa( ox..10so..&#x ) | 2 1 1 0 0 0 | 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | * 5 * * * * * * * *
demi( ox..  ....&#x ) | 1 1 1 0 0 0 | 0 1 1 0 1 0 0 0 0 0 0 0 0 0 | * * 5 * * * * * * *
demi( .xo.  ....&#x ) | 0 1 1 1 0 0 | 0 0 0 1 0 1 1 0 0 0 0 0 0 0 | * * * 5 * * * * * *
demi( .xo.  ....&#x ) | 0 1 1 0 1 0 | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | * * * * 5 * * * * *
demi( ....  .ox.&#x ) | 0 1 0 1 1 0 | 0 0 0 0 0 0 1 1 0 1 0 0 0 0 | * * * * * 5 * * * *
demi( ....  .ox.&#x ) | 0 0 1 1 1 0 | 0 0 0 0 0 1 0 0 1 0 1 0 0 0 | * * * * * * 5 * * *
demi( ....  ..xo&#x ) | 0 0 0 1 1 1 | 0 0 0 0 0 0 0 0 0 1 0 1 1 0 | * * * * * * * 5 * *
sefa( ..os10..xo&#x ) | 0 0 0 1 1 2 | 0 0 0 0 0 0 0 0 0 0 1 1 1 1 | * * * * * * * * 5 *
      ...s10...o      | 0 0 0 0 0 5 | 0 0 0 0 0 0 0 0 0 0 0 0 0 5 | * * * * * * * * * 1