Acronym ikadobcu
Name ikadoe bicupola
Circumradius ...
Lace city
in approx. ASCII-art
       x5o       
o5o           o5o
                 
                 
                 
o5x           o5x
       f5o       
                 
                 
                 
       o5f       
x5o           x5o
                 
                 
                 
o5o           o5o
       o5x       
        x3o   o3f f3o   o3x        
                                   
                                   
 o3o o3f   f3x       x3f   f3o o3o 
                                   
                                   
        x3o   o3f f3o   o3x        
Dihedral angles
  • at {3} between tet and tet:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {5} between peppy and peppy:   144°
  • at {3} between ike and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {3} between peppy and tet:   arccos[-sqrt(5/8)] = 142.238756°
Face vector 44, 210, 292, 126
Confer
uniform relative:
ex  
related segmentochora:
ikadoe  
blends:
ikadobcu - ipe  
general polytopal classes:
bistratic lace towers  

Its construction as segmentochoric bicupola makes clear that it also happens to be a CRF.


Incidence matrix according to Dynkin symbol

xox3ooo5oxo&#xt   → both heights = 1/2
(ike || doe || ike)

o..3o..5o..    & | 24  * |  5   5  0 |  5  10   5  0 | 1  5  5  1
.o.3.o.5.o.      |  * 20 |  0   6  3 |  0   6  12  3 | 0  2  6  6
-----------------+-------+-----------+---------------+-----------
x.. ... ...    & |  2  0 | 60   *  * |  2   2   0  0 | 1  2  1  0
oo.3oo.5oo.&#x & |  1  1 |  * 120  * |  0   2   2  0 | 0  1  2  1
... ... .x.      |  0  2 |  *   * 30 |  0   0   4  2 | 0  0  2  4
-----------------+-------+-----------+---------------+-----------
x..3o.. ...    & |  3  0 |  3   0  0 | 40   *   *  * | 1  1  0  0
xo. ... ...&#x & |  2  1 |  1   2  0 |  * 120   *  * | 0  1  1  0
... ... ox.&#x & |  1  2 |  0   2  1 |  *   * 120  * | 0  0  1  1
... .o.5.x.      |  0  5 |  0   0  5 |  *   *   * 12 | 0  0  0  2
-----------------+-------+-----------+---------------+-----------
x..3o..5o..    &  12  0 | 30   0  0 | 20   0   0  0 | 2  *  *  *
xo.3oo. ...&#x &   3  1 |  3   3  0 |  1   3   0  0 | * 40  *  *
xo. ... ox.&#x &   2  2 |  1   4  1 |  0   2   2  0 | *  * 60  *
... oo.5ox.&#x &   1  5 |  0   5  5 |  0   0   5  1 | *  *  * 24

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