Acronym pegybcu, J31
Name pentagonal gyrobicupola
 
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Vertex figure [3,4,5,4], [(3,4)2]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
uniform relative:
srid  
blend-component:
pecu  
related Johnson solids:
pobcu   epigybcu  
general polytopal classes:
Johnson solids   bistratic lace towers  
External
links
wikipedia   mathworld   quickfur  

Incidence matrix according to Dynkin symbol

xxo5oxx&#xt   → both heights = sqrt((5-sqrt(5))/10) = 0.525731
({5} || pseudo {10} || dual {5})

o..5o..    | 5  * * | 2  2 0 0  0 0 | 1 2 1 0 0 0
.o.5.o.    | * 10 * | 0  1 1 1  1 0 | 0 1 1 1 1 0
..o5..o    | *  * 5 | 0  0 0 0  2 2 | 0 0 0 1 2 1
-----------+--------+---------------+------------
x.. ...    | 2  0 0 | 5  * * *  * * | 1 1 0 0 0 0
oo.5oo.&#x | 1  1 0 | * 10 * *  * * | 0 1 1 0 0 0
.x. ...    | 0  2 0 | *  * 5 *  * * | 0 1 0 1 0 0
... .x.    | 0  2 0 | *  * * 5  * * | 0 0 1 0 1 0
.oo5.oo&#x | 0  1 1 | *  * * * 10 * | 0 0 0 1 1 0
... ..x    | 0  0 2 | *  * * *  * 5 | 0 0 0 0 1 1
-----------+--------+---------------+------------
x..5o..    | 5  0 0 | 5  0 0 0  0 0 | 1 * * * * *
xx. ...&#x | 2  2 0 | 1  2 1 0  0 0 | * 5 * * * *
... ox.&#x | 1  2 0 | 0  2 0 1  0 0 | * * 5 * * *
.xo ...&#x | 0  2 1 | 0  0 1 0  2 0 | * * * 5 * *
... .xx&#x | 0  2 2 | 0  0 0 1  2 1 | * * * * 5 *
..o5..x    | 0  0 5 | 0  0 0 0  0 5 | * * * * * 1
or
o..5o..    & | 10  * |  2  2  0 | 1  2  1
.o.5.o.      |  * 10 |  0  2  2 | 0  2  2
-------------+-------+----------+--------
x.. ...    & |  2  0 | 10  *  * | 1  1  0
oo.5oo.&#x & |  1  1 |  * 20  * | 0  1  1
.x. ...    & |  0  2 |  *  * 10 | 0  1  1
-------------+-------+----------+--------
x..5o..    & |  5  0 |  5  0  0 | 2  *  *
xx. ...&#x & |  2  2 |  1  2  1 | * 10  *
... ox.&#x & |  1  2 |  0  2  1 | *  * 10

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