Acronym	epgybro, J43
Name	elongated pentagonal gyrobirotunda
	© ©
Vertex figure	[(3,5)2], [3,42,5]
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Face vector	40, 80, 42
Confer	uniform relative: id   dip   related Johnson solids: pero   epro   epobro   general polytopal classes: Johnson solids
External links

Incidence matrix according to Dynkin symbol

xoxxfo5ofxxox&#xt   → height(1,2) = height(5,6) = sqrt[(5-sqrt(5))/10] = 0.525731
                      height(2,3) = height(4,5) = sqrt[(5+sqrt(5))/10] = 0.850651
                      height(3,4) = 1
({5} || pseudo dual f-{5} || pseudo {10} || pseudo {10} || pseudo para f-{5} || dual {5})

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

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