Acronym epipdapy
Name elongated pentagonal-prismatic bipyramid
Circumradius ...
Lace city
in approx. ASCII-art
    o5o    
x5o     x5o
           
           
x5o     x5o
    o5o    
Dihedral angles
  • at {3} between squippy and squippy:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {3} between peppy and squippy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {4} between cube and cube:   108°
  • at {5} between peppy and pip:   108°
  • at {4} between cube and squippy:   arccos(sqrt[(5-2 sqrt(5))/10]) = 103.282526°
  • at {4} between cube and pip:   90°
Confer
uniform relative:
squipdip  
related CRFs:
pippy   epippy  

Incidence matrix according to Dynkin symbol

oxxo oxxo5oooo&#xt   → outer heights = sqrt[(5-2 sqrt(5))/20] = 0.162460
                       inner height = 1
(pt || pseudo pip || pseudo pip || pt)

o... o...5o...    & | 2  *  10  0  0  0 |  5 10  0 0 0  0 |  5 2 0 0
.o.. .o..5.o..    & | * 20 |  1  1  2  1 |  1  2  2 1 1  2 |  2 1 2 1
--------------------+------+-------------+-----------------+---------
oo.. oo..5oo..&#x & | 1  1 | 20  *  *  * |  1  2  0 0 0  0 |  2 1 0 0
.x.. .... ....    & | 0  2 |  * 10  *  * |  1  0  2 0 1  0 |  2 0 2 0
.... .x.. ....    & | 0  2 |  *  * 20  * |  0  1  1 1 0  1 |  1 1 1 1
.oo. .oo.5.oo.&#x   | 0  2 |  *  *  * 10 |  0  0  0 0 1  2 |  0 0 2 1
--------------------+------+-------------+-----------------+---------
ox.. .... ....&#x & | 1  2 |  2  1  0  0 | 10  *  * * *  * |  2 0 0 0
.... ox.. ....&#x & | 1  2 |  2  0  1  0 |  * 20  * * *  * |  1 1 0 0
.x.. .x.. ....    & | 0  4 |  0  2  2  0 |  *  * 10 * *  * |  1 0 1 0
.... .x..5.o..    & | 0  5 |  0  0  5  0 |  *  *  * 4 *  * |  0 1 0 1
.xx. .... ....&#x   | 0  4 |  0  2  0  2 |  *  *  * * 5  * |  0 0 2 0
.... .xx. ....&#x   | 0  4 |  0  0  2  2 |  *  *  * * * 10 |  0 0 1 1
--------------------+------+-------------+-----------------+---------
ox.. ox.. ....&#x &  1  4 |  4  2  2  0 |  2  2  1 0 0  0 | 10 * * *
.... ox..5oo..&#x &  1  5 |  5  0  5  0 |  0  5  0 1 0  0 |  * 4 * *
.xx. .xx. ....&#x    0  8 |  0  4  4  4 |  0  0  2 0 2  2 |  * * 5 *
.... .xx.5.oo.&#x    0 10 |  0  0 10  5 |  0  0  0 2 0  5 |  * * * 2

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