Acronym biscex
Name bistratic vertex-first cap of hexacosachoron
Circumradius (1+sqrt(5))/2 = 1.618034
Lace city
in approx. ASCII-art
            x5o
     o5o       
               
               
               
     o5x       
            f5o
               
o5o            
               
            o5f
     x5o       
               
               
               
     o5o       
            o5x
               o3o               
                                 
       x3o   o3f f3o   o3x           (F=ff)
                                 
                                 
o3o o3f   f3x       x3f   f3o o3o
Dihedral angles
  • at {3} between tet and tet:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {3} between peppy and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {5} between doe and peppy:   72°
Confer
uniform relative:
ex  
segmentochora:
ikepy   ike || doe  
other CRFs:
rotunda of ex   pt || ike || doe || id  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

oxo3ooo5oox&#xt   → height(1,2) = (sqrt(5)-1)/4 = 0.309017
                    height(2,3) = 1/2
(pt || pseudo ike || doe)

o..3o..5o..     | 1  *  *  12  0  0  0 | 30  0  0  0  0 | 20  0  0  0 0
.o.3.o.5.o.     | * 12  *   1  5  5  0 |  5  5 10  5  0 |  5  5  5  1 0
..o3..o5..o     | *  * 20 |  0  0  3  3 |  0  0  3  6  3 |  0  1  3  3 1
----------------+---------+-------------+----------------+--------------
oo.3oo.5oo.&#x  | 1  1  0 | 12  *  *  * |  5  0  0  0  0 |  5  0  0  0 0
.x. ... ...     | 0  2  0 |  * 30  *  * |  1  2  2  0  0 |  2  2  1  0 0
.oo3.oo5.oo&#x  | 0  1  1 |  *  * 60  * |  0  0  2  2  0 |  0  1  2  1 0
... ... ..x     | 0  0  2 |  *  *  * 30 |  0  0  0  2  2 |  0  0  1  2 1
----------------+---------+-------------+----------------+--------------
ox. ... ...&#x  | 1  2  0 |  2  1  0  0 | 30  *  *  *  * |  2  0  0  0 0
.x.3.o. ...     | 0  3  0 |  0  3  0  0 |  * 20  *  *  * |  1  1  0  0 0
.xo ... ...&#x  | 0  2  1 |  0  1  2  0 |  *  * 60  *  * |  0  1  1  0 0
... ... .ox&#x  | 0  1  2 |  0  0  2  1 |  *  *  * 60  * |  0  0  1  1 0
... ..o5..x     | 0  0  5 |  0  0  0  5 |  *  *  *  * 12 |  0  0  0  1 1
----------------+---------+-------------+----------------+--------------
ox.3oo. ...&#x   1  3  0 |  3  3  0  0 |  3  1  0  0  0 | 20  *  *  * *
.xo3.oo ...&#x   0  3  1 |  0  3  3  0 |  0  1  3  0  0 |  * 20  *  * *
.xo ... .ox&#x   0  2  2 |  0  1  4  1 |  0  0  2  2  0 |  *  * 30  * *
... .oo5.ox&#xt  0  1  5 |  0  0  5  5 |  0  0  0  5  1 |  *  *  * 12 *
..o3..o5..x      0  0 20 |  0  0  0 30 |  0  0  0  0 12 |  *  *  *  * 1

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