Acronym gyepcuro, J47
Name gyroelongated pentagonal cupolarotunda
 
 © ©
Vertex figure [(3,5)2], [3,4,3,5], [34,4], [34,5]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
related Johnson solids:
pero   pecu   pegycuro   pocuro   epocuro  
uniform relative:
id   srid   dap  
general polytopal classes:
Johnson solids  
External
links
wikipedia   mathworld   quickfur  

A chiral polyhedron


Incidence matrix

a 3 b 5 a 3 b
*---*---*---*
 \ / \ / \ /
--*---*---*--
4 c 3 d 4 c 3

5 * * * * * * | 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0 0 0 0  top
* 5 * * * * * | 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 0 0 0 0 0  upper
* * 5 * * * * | 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 | 0 0 1 1 1 1 1 0 0 0 0  upper tropical (a)
* * * 5 * * * | 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 1 0 1 0 0 0  upper tropical (b)
* * * * 5 * * | 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 | 0 0 0 0 1 0 1 1 1 1 0  lower tropical (c)
* * * * * 5 * | 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 | 0 0 0 0 0 1 1 1 1 1 0  lower tropical (d)
* * * * * * 5 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 | 0 0 0 0 0 0 0 0 1 2 1  bottom
--------------+---------------------------------+----------------------
2 0 0 0 0 0 0 | 5 * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0  top
1 1 0 0 0 0 0 | * 5 * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 0  prograde upper laterals
1 1 0 0 0 0 0 | * * 5 * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 0  retrograde upper laterals
0 1 1 0 0 0 0 | * * * 5 * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0 0  prograde medial laterals (*-a)
0 1 0 1 0 0 0 | * * * * 5 * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0 0  retrograde medial laterals (*-b)
0 0 1 1 0 0 0 | * * * * * 5 * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 0  {3},{3} upper tropical joins (a-b)
0 0 1 1 0 0 0 | * * * * * * 5 * * * * * * * * * | 0 0 1 0 0 1 0 0 0 0 0  {5},{3} tropical joins (b-a)
0 0 1 0 1 0 0 | * * * * * * * 5 * * * * * * * * | 0 0 0 0 1 0 1 0 0 0 0  prograde central laterals (a-c)
0 0 1 0 0 1 0 | * * * * * * * * 5 * * * * * * * | 0 0 0 0 0 1 1 0 0 0 0  retrograde central laterals (a-d)
0 0 0 1 1 0 0 | * * * * * * * * * 5 * * * * * * | 0 0 0 0 1 0 0 1 0 0 0  prograde central laterals (b-c)
0 0 0 1 0 1 0 | * * * * * * * * * * 5 * * * * * | 0 0 0 0 0 1 0 1 0 0 0  retrograde central laterals (b-d)
0 0 0 0 1 1 0 | * * * * * * * * * * * 5 * * * * | 0 0 0 0 0 0 0 1 1 0 0  {3},{3} lower tropical joins (c-d)
0 0 0 0 1 1 0 | * * * * * * * * * * * * 5 * * * | 0 0 0 0 0 0 1 0 0 1 0  {4},{3} tropical joins (d-c)
0 0 0 0 1 0 1 | * * * * * * * * * * * * * 5 * * | 0 0 0 0 0 0 0 0 1 1 0  prograde lower laterals (c-*)
0 0 0 0 0 1 1 | * * * * * * * * * * * * * * 5 * | 0 0 0 0 0 0 0 0 1 1 0  retrograde lower laterals (d-*)
0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * 5 | 0 0 0 0 0 0 0 0 0 1 1  bottom
--------------+---------------------------------+----------------------
5 0 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * *  top {5}
2 1 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 5 * * * * * * * * *  upper {3}
1 2 1 1 0 0 0 | 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 | * * 5 * * * * * * * *  medial {5}
0 1 1 1 0 0 0 | 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 | * * * 5 * * * * * * *  upper tropical {3}
0 0 1 1 1 0 0 | 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 | * * * * 5 * * * * * *  upper central {3} (abc)
0 0 1 1 0 1 0 | 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 | * * * * * 5 * * * * *  upper central {3} (bad)
0 0 1 0 1 1 0 | 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 | * * * * * * 5 * * * *  lower central {3} (adc)
0 0 0 1 1 1 0 | 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 | * * * * * * * 5 * * *  lower central {3} (bcd)
0 0 0 0 1 1 1 | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 | * * * * * * * * 5 * *  lower {3}
0 0 0 0 1 1 2 | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 | * * * * * * * * * 5 *  {4}
0 0 0 0 0 0 5 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 | * * * * * * * * * * 1  bottom {5}

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