Acronym sircoa gircotum
Name bistratic cap of prismatorhombated tesseract,
rhombicuboctahedral rotunda,
(sirco,girco)-based tutschoron,
(sirco,girco)-based tutism
 
 ©
Circumradius sqrt[(7+3 sqrt(2))/2] = 2.370932
Lace city
in approx. ASCII-art
    x4o x4x   x4x x4o    
                         
x4o     x4u   x4u     x4o
                         
x4x x4u w4x   w4x x4u x4x
                  x3x
                     
                     
         u3o         
                  x3w
                     
x3o                  
         u3q         
                     
                     
x3q               u3w
         X3o         
                     
                     
w3o               X3x
                     
o3w               x3X
                     
                     
         o3X         
q3x               w3u
                     
                     
         q3u         
o3x                  
                     
                  w3x
         o3u         
                     
                     
                  x3x
Coordinates ((1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2)   & all permutations; all changes of sign but in last coordinate
Dihedral angles
  • at {6} between hip and tut:   150°
  • at {4} between cube and hip:   arccos(-sqrt[2/3]) = 144.735610°
  • at {4} between cube and sirco:   135°
  • at {4} between cube and squacu:   135°
  • at {4} between hip and sirco:   arccos(-1/sqrt(3)) = 125.264390°
  • at {4} between hip and squacu:   arccos(-1/sqrt(3)) = 125.264390°
  • at {3} between sirco and tut:   120°
  • at {3} between squacu and tut:   120°
  • at {8} between girco and squacu:   90°
  • at {6} between girco and tut:   60°
  • at {4} between girco and hip:   arccos(1/sqrt(3)) = 54.735610°
Confer
uniform relative:
prit  
related CRFs:
pacprit  
general polytopal classes:
tutsatopes   bistratic lace towers  

Incidence matrix according to Dynkin symbol

xux3oox4xxx&#xt   → both heights = 1/sqrt(2) = 0.707107
(sirco || pseudo (u,x)-sirco || girco)

o.....3o.....4o.....     | 24  *  * |  2  2  1  0  0  0  0  0 | 1  2 1  2  2 0  0  0 0  0 0 | 1 1 1  2 0 0
.o....3.o....4.o....     |  * 24  * |  0  0  1  2  2  0  0  0 | 0  0 0  2  2 1  1  2 0  0 0 | 0 1 1  2 1 0
..o...3..o...4..o...     |  *  * 48 |  0  0  0  0  1  1  1  1 | 0  0 0  0  1 0  1  1 1  1 1 | 0 0 1  1 1 1
-------------------------+----------+-------------------------+-----------------------------+-------------
x..... ...... ......     |  2  0  0 | 24  *  *  *  *  *  *  * | 1  1 0  0  1 0  0  0 0  0 0 | 1 0 1  1 0 0
...... ...... x.....     |  2  0  0 |  * 24  *  *  *  *  *  * | 0  1 1  1  0 0  0  0 0  0 0 | 1 1 0  1 0 0
oo....3oo....4oo....&#x  |  1  1  0 |  *  * 24  *  *  *  *  * | 0  0 0  2  2 0  0  0 0  0 0 | 0 1 1  2 0 0
...... ...... .x....     |  0  2  0 |  *  *  * 24  *  *  *  * | 0  0 0  1  0 1  0  1 0  0 0 | 0 1 0  1 1 0
.oo...3.oo...4.oo...&#x  |  0  1  1 |  *  *  *  * 48  *  *  * | 0  0 0  0  1 0  1  1 0  0 0 | 0 0 1  1 1 0
..x... ...... ......     |  0  0  2 |  *  *  *  *  * 24  *  * | 0  0 0  0  1 0  0  0 1  1 0 | 0 0 1  1 0 1
...... ..x... ......     |  0  0  2 |  *  *  *  *  *  * 24  * | 0  0 0  0  0 0  1  0 1  0 1 | 0 0 1  0 1 1
...... ...... ..x...     |  0  0  2 |  *  *  *  *  *  *  * 24 | 0  0 0  0  0 0  0  1 0  1 1 | 0 0 0  1 1 1
-------------------------+----------+-------------------------+-----------------------------+-------------
x.....3o..... ......     |  3  0  0 |  3  0  0  0  0  0  0  0 | 8  * *  *  * *  *  * *  * * | 1 0 1  0 0 0
x..... ...... x.....     |  4  0  0 |  2  2  0  0  0  0  0  0 | * 12 *  *  * *  *  * *  * * | 1 0 0  1 0 0
...... o.....4x.....     |  4  0  0 |  0  4  0  0  0  0  0  0 | *  * 6  *  * *  *  * *  * * | 1 1 0  0 0 0
...... ...... xx....&#x  |  2  2  0 |  0  1  2  1  0  0  0  0 | *  * * 24  * *  *  * *  * * | 0 1 0  1 0 0
xux... ...... ......&#xt |  2  2  2 |  1  0  2  0  2  1  0  0 | *  * *  * 24 *  *  * *  * * | 0 0 1  1 0 0
...... .o....4.x....     |  0  4  0 |  0  0  0  4  0  0  0  0 | *  * *  *  * 6  *  * *  * * | 0 1 0  0 1 0
...... .ox... ......&#x  |  0  1  2 |  0  0  0  0  2  0  1  0 | *  * *  *  * * 24  * *  * * | 0 0 1  0 1 0
...... ...... .xx...&#x  |  0  2  2 |  0  0  0  1  2  0  0  1 | *  * *  *  * *  * 24 *  * * | 0 0 0  1 1 0
..x...3..x... ......     |  0  0  6 |  0  0  0  0  0  3  3  0 | *  * *  *  * *  *  * 8  * * | 0 0 1  0 0 1
..x... ...... ..x...     |  0  0  4 |  0  0  0  0  0  2  0  2 | *  * *  *  * *  *  * * 12 * | 0 0 0  1 0 1
...... ..x...4..x...     |  0  0  8 |  0  0  0  0  0  0  4  4 | *  * *  *  * *  *  * *  * 6 | 0 0 0  0 1 1
-------------------------+----------+-------------------------+-----------------------------+-------------
x.....3o.....4x.....      24  0  0 | 24 24  0  0  0  0  0  0 | 8 12 6  0  0 0  0  0 0  0 0 | 1 * *  * * *
...... oo....4xx....&#x    4  4  0 |  0  4  4  4  0  0  0  0 | 0  0 1  4  0 1  0  0 0  0 0 | * 6 *  * * *
xux...3oox... ......&#xt   3  3  6 |  3  0  3  0  6  3  3  0 | 1  0 0  0  3 0  3  0 1  0 0 | * * 8  * * *
xux... ...... xxx...&#xt   4  4  4 |  2  2  4  2  4  2  0  2 | 0  1 0  2  2 0  0  2 0  1 0 | * * * 12 * *
...... .ox...4.xx...&#x    0  4  8 |  0  0  0  4  8  0  4  4 | 0  0 0  0  0 1  4  4 0  0 1 | * * *  * 6 *
..x...3..x...4..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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