Acronym perope, K-4.92
Name pentagonal-rotunda prism
Segmentochoron display / VRML 
 ⭳
Circumradius sqrt[7+2 sqrt(5)]/2 = 1.693527
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at {4} between pip and trip:   arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632°
  • at {10} between pero and dip:   90°
  • at {5} between pero and pip:   90°
  • at {3} between pero and trip:   90°
  • at {4} between dip and trip:   arccos(sqrt[(5-2 sqrt(5))/15]) = 79.187683°
  • at {4} between dip and pip:   arccos(1/sqrt(5)) = 63.434949°
Face vector 40, 90, 69, 19
Confer
uniform relative:
iddip  
general polytopal classes:
segmentochora   bistratic lace towers  

Incidence matrix according to Dynkin symbol

xxx xox5ofx&#xt   → height(1,2) = sqrt[(5-sqrt(5))/10] = 0.525731
                    height(2,3) = sqrt[(5+sqrt(5))/10] = 0.850651
(pip || pseudo dual f-pip || dip)

o.. o..5o..     | 10  *  * | 1  2  2 0  0  0  0  0 | 2 1  2  2  1  0  0 0 0 0 | 1 2 1 1 0 0
.o. .o.5.o.     |  * 10  * | 0  0  2 1  2  0  0  0 | 0 0  2  1  2  2  1 0 0 0 | 0 1 2 1 1 0
..o ..o5..o     |  *  * 20 | 0  0  0 0  1  1  1  1 | 0 0  0  0  1  1  1 1 1 1 | 0 0 1 1 1 1
----------------+----------+-----------------------+--------------------------+------------
x.. ... ...     |  2  0  0 | 5  *  * *  *  *  *  * | 2 0  2  0  0  0  0 0 0 0 | 1 2 1 0 0 0
... x.. ...     |  2  0  0 | * 10  * *  *  *  *  * | 1 1  0  1  0  0  0 0 0 0 | 1 1 0 1 0 0
oo. oo.5oo.&#x  |  1  1  0 | *  * 20 *  *  *  *  * | 0 0  1  1  1  0  0 0 0 0 | 0 1 1 1 0 0
.x. ... ...     |  0  2  0 | *  *  * 5  *  *  *  * | 0 0  2  0  0  2  0 0 0 0 | 0 1 2 0 1 0
.oo .oo5.oo&#x  |  0  1  1 | *  *  * * 20  *  *  * | 0 0  0  0  1  1  1 0 0 0 | 0 0 1 1 1 0
..x ... ...     |  0  0  2 | *  *  * *  * 10  *  * | 0 0  0  0  0  1  0 1 1 0 | 0 0 1 0 1 1
... ..x ...     |  0  0  2 | *  *  * *  *  * 10  * | 0 0  0  0  0  0  1 1 0 1 | 0 0 0 1 1 1
... ... ..x     |  0  0  2 | *  *  * *  *  *  * 10 | 0 0  0  0  1  0  0 0 1 1 | 0 0 1 1 0 1
----------------+----------+-----------------------+--------------------------+------------
x.. x.. ...     |  4  0  0 | 2  2  0 0  0  0  0  0 | 5 *  *  *  *  *  * * * * | 1 1 0 0 0 0
... x..5o..     |  5  0  0 | 0  5  0 0  0  0  0  0 | * 2  *  *  *  *  * * * * | 1 0 0 1 0 0
xx. ... ...&#x  |  2  2  0 | 1  0  2 1  0  0  0  0 | * * 10  *  *  *  * * * * | 0 1 1 0 0 0
... xo. ...&#x  |  2  1  0 | 0  1  2 0  0  0  0  0 | * *  * 10  *  *  * * * * | 0 1 0 1 0 0
... ... ofx&#xt |  1  2  2 | 0  0  2 0  2  0  0  1 | * *  *  * 10  *  * * * * | 0 0 1 1 0 0
.xx ... ...&#x  |  0  2  2 | 0  0  0 1  2  1  0  0 | * *  *  *  * 10  * * * * | 0 0 1 0 1 0
... .ox ...&#x  |  0  1  2 | 0  0  0 0  2  0  1  0 | * *  *  *  *  * 10 * * * | 0 0 0 1 1 0
..x ..x ...     |  0  0  4 | 0  0  0 0  0  2  2  0 | * *  *  *  *  *  * 5 * * | 0 0 0 0 1 1
..x ... ..x     |  0  0  4 | 0  0  0 0  0  2  0  2 | * *  *  *  *  *  * * 5 * | 0 0 1 0 0 1
... ..x5..x     |  0  0 10 | 0  0  0 0  0  0  5  5 | * *  *  *  *  *  * * * 2 | 0 0 0 1 0 1
----------------+----------+-----------------------+--------------------------+------------
x.. x..5o..     ♦ 10  0  0 | 5 10  0 0  0  0  0  0 | 5 2  0  0  0  0  0 0 0 0 | 1 * * * * *
xx. xo. ...&#x  ♦  4  2  0 | 2  2  4 1  0  0  0  0 | 1 0  2  2  0  0  0 0 0 0 | * 5 * * * *
xxx ... ofx&#xt ♦  2  4  4 | 1  0  4 2  4  2  0  2 | 0 0  2  0  2  2  0 0 1 0 | * * 5 * * *
... xox5ofx&#xt ♦  5  5 10 | 0  5 10 0 10  0  5  5 | 0 1  0  5  5  0  5 0 0 1 | * * * 2 * *
.xx .ox ...&#x  ♦  0  2  4 | 0  0  0 1  4  2  2  0 | 0 0  0  0  0  2  2 1 0 0 | * * * * 5 *
..x ..x5..x     ♦  0  0 20 | 0  0  0 0  0 10 10 10 | 0 0  0  0  0  0  0 5 5 2 | * * * * * 1

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