Acronym epgycuro, J41
Name elongated pentagonal gyrocupolarotunda
 
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Vertex figure [(3,5)2], [3,42,5], [3,4,5,4], [3,43]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
related Johnson solids:
pero   pecu   pegycuro  
uniform relative:
id   srid   dip  
general polytopal classes:
Johnson solids  
External
links
wikipedia   mathworld   quickfur  

Incidence matrix according to Dynkin symbol

xoxxo5ofxxx&#xt   → height(1,2) = height(4,5) = sqrt[(5-sqrt(5))/10] = 0.525731
                    height(2,3) = sqrt[(5+sqrt(5))/10] = 0.850651
                    height(3,4) = 1
({5} || pseudo dual f-{5} || pseudo {10} || pseudo {10} || dual {5})

o....5o....     | 5 *  *  * * | 2  2  0 0 0  0 0 0  0 0 | 1 2 1 0 0 0 0 0 0  [(3,5)2]
.o...5.o...     | * 5  *  * * | 0  2  2 0 0  0 0 0  0 0 | 0 1 2 1 0 0 0 0 0  [(3,5)2]
..o..5..o..     | * * 10  * * | 0  0  1 1 1  1 0 0  0 0 | 0 0 1 1 1 1 0 0 0  [3,42,5]
...o.5...o.     | * *  * 10 * | 0  0  0 0 0  1 1 1  1 0 | 0 0 0 0 1 1 1 1 0  [3,43]
....o5....o     | * *  *  * 5 | 0  0  0 0 0  0 0 0  2 2 | 0 0 0 0 0 0 1 2 1  [3,4,5,4]
----------------+-------------+-------------------------+------------------
x.... .....     | 2 0  0  0 0 | 5  *  * * *  * * *  * * | 1 1 0 0 0 0 0 0 0
oo...5oo...&#x  | 1 1  0  0 0 | * 10  * * *  * * *  * * | 0 1 1 0 0 0 0 0 0
.oo..5.oo..&#x  | 0 1  1  0 0 | *  * 10 * *  * * *  * * | 0 0 1 1 0 0 0 0 0
..x.. .....     | 0 0  2  0 0 | *  *  * 5 *  * * *  * * | 0 0 0 1 1 0 0 0 0
..... ..x..     | 0 0  2  0 0 | *  *  * * 5  * * *  * * | 0 0 1 0 0 1 0 0 0
..oo.5..oo.&#x  | 0 0  1  1 0 | *  *  * * * 10 * *  * * | 0 0 0 0 1 1 0 0 0
...x. .....     | 0 0  0  2 0 | *  *  * * *  * 5 *  * * | 0 0 0 0 1 0 1 0 0
..... ...x.     | 0 0  0  2 0 | *  *  * * *  * * 5  * * | 0 0 0 0 0 1 0 1 0
...oo5...oo&#x  | 0 0  0  1 1 | *  *  * * *  * * * 10 * | 0 0 0 0 0 0 1 1 0
..... ....x     | 0 0  0  0 2 | *  *  * * *  * * *  * 5 | 0 0 0 0 0 0 0 1 1
----------------+-------------+-------------------------+------------------
x....5o....     | 5 0  0  0 0 | 5  0  0 0 0  0 0 0  0 0 | 1 * * * * * * * *
xo... .....&#x  | 2 1  0  0 0 | 1  2  0 0 0  0 0 0  0 0 | * 5 * * * * * * *
..... ofx..&#xt | 1 2  2  0 0 | 0  2  2 0 1  0 0 0  0 0 | * * 5 * * * * * *
.ox.. .....&#x  | 0 1  2  0 0 | 0  0  2 1 0  0 0 0  0 0 | * * * 5 * * * * *
..xx. .....&#x  | 0 0  2  2 0 | 0  0  0 1 0  2 1 0  0 0 | * * * * 5 * * * *
..... ..xx.&#x  | 0 0  2  2 0 | 0  0  0 0 1  2 0 1  0 0 | * * * * * 5 * * *
...xo .....&#x  | 0 0  0  2 1 | 0  0  0 0 0  0 1 0  2 0 | * * * * * * 5 * *
..... ...xx&#x  | 0 0  0  2 2 | 0  0  0 0 0  0 0 1  2 1 | * * * * * * * 5 *
....o5....x     | 0 0  0  0 5 | 0  0  0 0 0  0 0 0  0 5 | * * * * * * * * 1

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