Acronym biscsrico
Name bistratic cuboctahedron-first cap of small rhombated icositetrachoron
Circumradius sqrt[4+2 sqrt(2)] = 2.613126
Lace city
in approx. ASCII-art
          o4x   q4o   o4x          		-- o3x4o (co)
                                   
      x4x   w4o     w4o   x4x      		-- o3x4x (tic)
                                   
                                   
x4x   x4u   w4x     w4x   x4u   x4x		-- x3x4x (girco)

                                     \_
                                       +-- escu
                    x3x
                       
                       
        o3x            
                    x3w
                       		where:
                       		w = x+q
        o3w            		u = 2x
                       		X = x+w = u+q
o3x                    
                    u3w
                       
                       
        x3w            
                    X3x
x3x                    
                    x3X
        w3x            
                       
                       
                    w3u
x3o                    
                       
        w3o            
                       
                       
                    w3x
        x3o            
                       
                       
                    x3x
Dihedral angles
  • at {3} between co and trip:   150°
  • at {3} between tricu and trip:   150°
  • at {4} between escu and trip:   arccos(-sqrt[2/3]) = 144.735610°
  • at {4} between co and escu:   135°
  • at {4} between escu and tricu:   135°
  • at {3} between escu and escu:   120°
  • at {6} between girco and tricu:   60°
  • at {4} between girco and trip:   arccos(1/sqrt(3)) = 54.735610°
  • at {8} between escu and girco:   45°
Confer
uniform relative:
sirco  
related segmentochora:
coatic   ticagirco  
related CRFs:
biscpoxic  
general polytopal classes:
bistratic lace towers  

At the first glance this CRF just looks as it would be a mere bistratic stack of segmentochora. But here the squacues of the upper segment happen to become corealmic with the ops of the lower. Thus in here they blend into escues instead.


Incidence matrix according to Dynkin symbol

oox3xxx4oxx&#xt   → height(1,2) = 1/2
                    height(2,3) = 1/sqrt(2) = 0.707107
(co || pseudo tic || girco)

o..3o..4o..     | 12  *  * |  4  2  0  0  0  0  0  0 | 2 2  4  1 0  0  0  0 0  0 0 | 1 2 2 0  0 0
.o.3.o.4.o.     |  * 24  * |  0  1  2  1  2  0  0  0 | 0 0  2  1 1  1  2  2 0  0 0 | 0 1 2 1  1 0
..o3..o4..o     |  *  * 48 |  0  0  0  0  1  1  1  1 | 0 0  0  0 0  1  1  1 1  1 1 | 0 0 1 1  1 1
----------------+----------+-------------------------+-----------------------------+-------------
... x.. ...     |  2  0  0 | 24  *  *  *  *  *  *  * | 1 1  1  0 0  0  0  0 0  0 0 | 1 1 1 0  0 0
oo.3oo.4oo.&#x  |  1  1  0 |  * 24  *  *  *  *  *  * | 0 0  2  1 0  0  0  0 0  0 0 | 0 1 2 0  0 0
... .x. ...     |  0  2  0 |  *  * 24  *  *  *  *  * | 0 0  1  0 1  0  1  0 0  0 0 | 0 1 1 1  0 0
... ... .x.     |  0  2  0 |  *  *  * 12  *  *  *  * | 0 0  0  1 0  0  0  2 0  0 0 | 0 0 2 0  1 0
.oo3.oo4.oo&#x  |  0  1  1 |  *  *  *  * 48  *  *  * | 0 0  0  0 0  1  1  1 0  0 0 | 0 0 1 1  1 0
..x ... ...     |  0  0  2 |  *  *  *  *  * 24  *  * | 0 0  0  0 0  1  0  0 1  1 0 | 0 0 0 1  1 1
... ..x ...     |  0  0  2 |  *  *  *  *  *  * 24  * | 0 0  0  0 0  0  1  0 1  0 1 | 0 0 1 1  0 1
... ... ..x     |  0  0  2 |  *  *  *  *  *  *  * 24 | 0 0  0  0 0  0  0  1 0  1 1 | 0 0 1 0  1 1
----------------+----------+-------------------------+-----------------------------+-------------
o..3x.. ...     |  3  0  0 |  3  0  0  0  0  0  0  0 | 8 *  *  * *  *  *  * *  * * | 1 1 0 0  0 0
... x..4o..     |  4  0  0 |  4  0  0  0  0  0  0  0 | * 6  *  * *  *  *  * *  * * | 1 0 1 0  0 0
... xx. ...&#x  |  2  2  0 |  1  2  1  0  0  0  0  0 | * * 24  * *  *  *  * *  * * | 0 1 1 0  0 0
... ... ox.&#x  |  1  2  0 |  0  2  0  1  0  0  0  0 | * *  * 12 *  *  *  * *  * * | 0 0 2 0  0 0
.o.3.x. ...     |  0  3  0 |  0  0  3  0  0  0  0  0 | * *  *  * 8  *  *  * *  * * | 0 1 0 1  0 0
.ox ... ...&#x  |  0  1  2 |  0  0  0  0  2  1  0  0 | * *  *  * * 24  *  * *  * * | 0 0 0 1  1 0
... .xx ...&#x  |  0  2  2 |  0  0  1  0  2  0  1  0 | * *  *  * *  * 24  * *  * * | 0 0 1 1  0 0
... ... .xx&#x  |  0  2  2 |  0  0  0  1  2  0  0  1 | * *  *  * *  *  * 24 *  * * | 0 0 1 0  1 0
..x3..x ...     |  0  0  6 |  0  0  0  0  0  3  3  0 | * *  *  * *  *  *  * 8  * * | 0 0 0 1  0 1
..x ... ..x     |  0  0  4 |  0  0  0  0  0  2  0  2 | * *  *  * *  *  *  * * 12 * | 0 0 0 0  1 1
... ..x4..x     |  0  0  8 |  0  0  0  0  0  0  4  4 | * *  *  * *  *  *  * *  * 6 | 0 0 1 0  0 1
----------------+----------+-------------------------+-----------------------------+-------------
o..3x..4o..      12  0  0 | 24  0  0  0  0  0  0  0 | 8 6  0  0 0  0  0  0 0  0 0 | 1 * * *  * *
oo.3xx. ...&#x    3  3  0 |  3  3  3  0  0  0  0  0 | 1 0  3  0 1  0  0  0 0  0 0 | * 8 * *  * *
... xxx4oxx&#xt   4  8  8 |  4  8  4  4  8  0  4  4 | 0 1  4  4 0  0  4  4 0  0 1 | * * 6 *  * *
.ox3.xx ...&#x    0  3  6 |  0  0  3  0  6  3  3  0 | 0 0  0  0 1  3  3  0 1  0 0 | * * * 8  * *
.ox ... .xx&#x    0  2  4 |  0  0  0  1  4  2  0  2 | 0 0  0  0 0  2  0  2 0  1 0 | * * * * 12 *
..x3..x4..x       0  0 48 |  0  0  0  0  0 24 24 24 | 0 0  0  0 0  0  0  0 8 12 6 | * * * *  * 1

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