Acronym epigybcu, J39
Name elongated pentagonal gyrobicupola
 
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Vertex figure [3,4,5,4], [3,43]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
uniform relative:
srid   dip  
related Johnson solids:
pecu   pegybcu  
general polytopal classes:
Johnson solids  
External
links
wikipedia   mathworld   quickfur  

Incidence matrix according to Dynkin symbol

xxxo5oxxx&#xt   → outer heights = sqrt((5-sqrt(5))/10) = 0.525731
                  inner height = 1
({5} || pseudo {10} || pseudo {10} || dual {5})

o...5o...    | 5  *  * * | 2  2 0 0  0 0 0  0 0 | 1 2 1 0 0 0 0 0
.o..5.o..    | * 10  * * | 0  1 1 1  1 0 0  0 0 | 0 1 1 1 1 0 0 0
..o.5..o.    | *  * 10 * | 0  0 0 0  1 1 1  1 0 | 0 0 0 1 1 1 1 0
...o5...o    | *  *  * 5 | 0  0 0 0  0 0 0  2 2 | 0 0 0 0 0 1 2 1
-------------+-----------+----------------------+----------------
x... ....    | 2  0  0 0 | 5  * * *  * * *  * * | 1 1 0 0 0 0 0 0
oo..5oo..&#x | 1  1  0 0 | * 10 * *  * * *  * * | 0 1 1 0 0 0 0 0
.x.. ....    | 0  2  0 0 | *  * 5 *  * * *  * * | 0 1 0 1 0 0 0 0
.... .x..    | 0  2  0 0 | *  * * 5  * * *  * * | 0 0 1 0 1 0 0 0
.oo.5.oo.&#x | 0  1  1 0 | *  * * * 10 * *  * * | 0 0 0 1 1 0 0 0
..x. ....    | 0  0  2 0 | *  * * *  * 5 *  * * | 0 0 0 1 0 1 0 0
.... ..x.    | 0  0  2 0 | *  * * *  * * 5  * * | 0 0 0 0 1 0 1 0
..oo5..oo&#x | 0  0  1 1 | *  * * *  * * * 10 * | 0 0 0 0 0 1 1 0
.... ...x    | 0  0  0 2 | *  * * *  * * *  * 5 | 0 0 0 0 0 0 1 1
-------------+-----------+----------------------+----------------
x...5o...    | 5  0  0 0 | 5  0 0 0  0 0 0  0 0 | 1 * * * * * * *
xx.. ....&#x | 2  2  0 0 | 1  2 1 0  0 0 0  0 0 | * 5 * * * * * *
.... ox..&#x | 1  2  0 0 | 0  2 0 1  0 0 0  0 0 | * * 5 * * * * *
.xx. ....&#x | 0  2  2 0 | 0  0 1 0  2 1 0  0 0 | * * * 5 * * * *
.... .xx.&#x | 0  2  2 0 | 0  0 0 1  2 0 1  0 0 | * * * * 5 * * *
..xo ....&#x | 0  0  2 1 | 0  0 0 0  0 1 0  2 0 | * * * * * 5 * *
.... ..xx&#x | 0  0  2 2 | 0  0 0 0  0 0 1  2 1 | * * * * * * 5 *
...o5...x    | 0  0  0 5 | 0  0 0 0  0 0 0  0 5 | * * * * * * * 1
or
o...5o...    & | 10  * |  2  2  0  0  0 | 1  2  1  0
.o..5.o..      |  * 20 |  0  1  1  1  1 | 0  1  1  2
---------------+-------+----------------+-----------
x... ....    & |  2  0 | 10  *  *  *  * | 1  1  0  0
oo..5oo..&#x & |  1  1 |  * 20  *  *  * | 0  1  1  0
.x.. ....    & |  0  2 |  *  * 10  *  * | 0  1  0  1
.... .x..    & |  0  2 |  *  *  * 10  * | 0  0  1  1
.oo.5.oo.&#x   |  0  2 |  *  *  *  * 10 | 0  0  0  2
---------------+-------+----------------+-----------
x...5o...    & |  5  0 |  5  0  0  0  0 | 2  *  *  *
xx.. ....&#x & |  2  2 |  1  2  1  0  0 | * 10  *  *
.... ox..&#x & |  1  2 |  0  2  0  1  0 | *  * 10  *
.xx. ....&#x & |  0  4 |  0  0  1  1  2 | *  *  * 10

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