Acronym	gyepro, J25
Name	gyroelongated pentagonal rotunda
VRML	⭳ ©
Vertex figure	[(3,5)2], [34,5], [33,10]
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Face vector	30, 65, 37
Confer	uniform relative: dap   related Johnson solids: pero   gyepabro   general polytopal classes: Johnson solids
External links

Incidence matrix according to Dynkin symbol

sšox10ooxo&#xt   → height(1,2) = sqrt[(5-sqrt(5))/10] = 0.525731
                   height(2,3) = sqrt[(5+sqrt(5))/10] = 0.850651
                   height(3,4) = sqrt[(sqrt(2)+sqrt(5+sqrt(5)))/(2 sqrt(2)+sqrt(5+sqrt(5)))] = 0.862397
({5} || pseudo dual f-{5} || pseudo {10} || dual {10})

demi(  o...10o...     ) | 5 *  * * * | 2  2  0 0 0  0  0  0 | 1 2 1 0  0 0 0 0
other( .o..10.o..     ) | * 5  * * * | 0  2  2 0 0  0  0  0 | 0 1 2 1  0 0 0 0
       ..o.10..o.       | * * 10 * * | 0  0  1 1 1  1  1  0 | 0 0 1 1  1 1 1 0
demi(  ...o10...o     ) | * *  * 5 * | 0  0  0 0 0  2  0  2 | 0 0 0 0  2 1 0 1  below{3}
other( ...o10...o     ) | * *  * * 5 | 0  0  0 0 0  0  2  2 | 0 0 0 0  2 0 1 1  below{5}
------------------------+------------+----------------------+-----------------
sefa(  s...10o...     ) | 2 0  0 0 0 | 5  *  * * *  *  *  * | 1 1 0 0  0 0 0 0
demi(  oo..10oo..&#x  ) | 1 1  0 0 0 | * 10  * * *  *  *  * | 0 1 1 0  0 0 0 0
demi(  .oo.10.oo.&#x  ) | 0 1  1 0 0 | *  * 10 * *  *  *  * | 0 0 1 1  0 0 0 0
demi(  ....  ..x.     ) | 0 0  2 0 0 | *  *  * 5 *  *  *  * | 0 0 0 1  0 1 0 0  medial {3}-{3}-adjoin
other( ....  ..x.     ) | 0 0  2 0 0 | *  *  * * 5  *  *  * | 0 0 1 0  0 0 1 0  medial {3}-{5}-adjoin
demi(  ..oo10..oo&#x  ) | 0 0  1 1 0 | *  *  * * * 10  *  * | 0 0 0 0  1 1 0 0  below{3}
other( ..oo10..oo&#x  ) | 0 0  1 0 1 | *  *  * * *  * 10  * | 0 0 0 0  1 0 1 0  below{5}
       ...x  ....       | 0 0  0 1 1 | *  *  * * *  *  * 10 | 0 0 0 0  1 0 0 1
------------------------+------------+----------------------+-----------------
       s...10o...       | 5 0  0 0 0 | 5  0  0 0 0  0  0  0 | 1 * * *  * * * *  top {5}
sefa(  sš..10oo..&#x  ) | 2 1  0 0 0 | 1  2  0 0 0  0  0  0 | * 5 * *  * * * *
sefa(  sšo.10oox.&#xt ) | 1 2  2 0 0 | 0  2  2 0 1  0  0  0 | * * 5 *  * * * *  lateral {5}
sefa(  .šo.10.ox.&#x  ) | 0 1  2 0 0 | 0  0  2 1 0  0  0  0 | * * * 5  * * * *
       ..ox  ....&#x    | 0 0  1 1 1 | 0  0  0 0 0  1  1  1 | * * * * 10 * * *
demi(  ....  ..xo&#x  ) | 0 0  2 1 0 | 0  0  0 1 0  2  0  0 | * * * *  * 5 * *  {3}'s below {3}
other( ....  ..xo&#x  ) | 0 0  2 0 1 | 0  0  0 0 1  0  2  0 | * * * *  * * 5 *  {3}'s below {5}
       ...x10...o       | 0 0  0 5 5 | 0  0  0 0 0  0  0 10 | * * * *  * * * 1  {10}