Acronym epippy
Name elongated pentagonal-prismatic pyramid
Circumradius ...
Lace city
in approx. ASCII-art
    o5o    
x5o     x5o
           
           
x5o     x5o
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°
  • at {5} between pip and pip:   90°
Confer
uniform relative:
squipdip  
related CRFs:
pippy   epipdapy  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

oxx oxx5ooo&#xt   → pyramid height = sqrt[(5-2 sqrt(5))/20] = 0.162460
                    prism height = 1
(pt || pseudo pip || pip)

o.. o..5o..    | 1  *  *  10 0  0  0 0  0 | 5 10 0 0 0  0 0 0 | 5 2 0 0 0
.o. .o.5.o.    | * 10  * |  1 1  2  1 0  0 | 1  2 2 1 1  2 0 0 | 2 1 2 1 0
..o ..o5..o    | *  * 10 |  0 0  0  1 1  2 | 0  0 0 0 1  2 2 1 | 0 0 2 1 1
---------------+---------+-----------------+-------------------+----------
oo. oo.5oo.&#x | 1  1  0 | 10 *  *  * *  * | 1  2 0 0 0  0 0 0 | 2 1 0 0 0
.x. ... ...    | 0  2  0 |  * 5  *  * *  * | 1  0 2 0 1  0 0 0 | 2 0 2 0 0
... .x. ...    | 0  2  0 |  * * 10  * *  * | 0  1 1 1 0  1 0 0 | 1 1 1 1 0
.oo .oo5.oo&#x | 0  1  1 |  * *  * 10 *  * | 0  0 0 0 1  2 0 0 | 0 0 2 1 0
..x ... ...    | 0  0  2 |  * *  *  * 5  * | 0  0 0 0 1  0 2 0 | 0 0 2 0 1
... ..x ...    | 0  0  2 |  * *  *  * * 10 | 0  0 0 0 0  1 1 1 | 0 0 1 1 1
---------------+---------+-----------------+-------------------+----------
ox. ... ...&#x | 1  2  0 |  2 1  0  0 0  0 | 5  * * * *  * * * | 2 0 0 0 0
... ox. ...&#x | 1  2  0 |  2 0  1  0 0  0 | * 10 * * *  * * * | 1 1 0 0 0
.x. .x. ...    | 0  4  0 |  0 2  2  0 0  0 | *  * 5 * *  * * * | 1 0 1 0 0
... .x.5.o.    | 0  5  0 |  0 0  5  0 0  0 | *  * * 2 *  * * * | 0 1 0 1 0
.xx ... ...&#x | 0  2  2 |  0 1  0  2 1  0 | *  * * * 5  * * * | 0 0 2 0 0
... .xx ...&#x | 0  2  2 |  0 0  1  2 0  1 | *  * * * * 10 * * | 0 0 1 1 0
..x ..x ...    | 0  0  4 |  0 0  0  0 2  2 | *  * * * *  * 5 * | 0 0 1 0 1
... ..x5..o    | 0  0  5 |  0 0  0  0 0  5 | *  * * * *  * * 2 | 0 0 0 1 1
---------------+---------+-----------------+-------------------+----------
ox. ox. ...&#x  1  4  0 |  4 2  2  0 0  0 | 2  2 1 0 0  0 0 0 | 5 * * * *
... ox.5oo.&#x  1  5  0 |  5 0  5  0 0  0 | 0  5 0 1 0  0 0 0 | * 2 * * *
.xx .xx ...&#x  0  4  4 |  0 2  2  4 2  2 | 0  0 1 0 2  2 1 0 | * * 5 * *
... .xx5.oo&#x  0  5  5 |  0 0  5  5 0  5 | 0  0 0 1 0  5 0 1 | * * * 2 *
..x ..x5..o     0  0 10 |  0 0  0  0 5 10 | 0  0 0 0 0  0 5 2 | * * * * 1

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