Acronym esircoatic
Name elongated sircoatic,
diminished srit
Lace city
in approx. ASCII-art
x4o x4x   x4x x4o		-- sirco
                 
x4x w4o   w4o x4x		-- tic
                 
                 
x4x w4o   w4o x4x		-- tic

               |
               +-- escu
      x3o     x3q     w3o o3w     q3x     o3x      
                                                   
                                                   
                                                   
                                                   
                                                   
o3x     o3w         x3w     w3x         w3o     x3o
                                                   
                                                   
                                                   
                                                   
                                                   
                                                   
                                                   
o3x     o3w         x3w     w3x         w3o     x3o
Dihedral angles
(at margins)
  • at {3} between oct and trip:   150°
  • at {4} between escu and trip:   arccos(-1/sqrt(3)) = 125.264390°
  • at {4} between sirco and trip:   arccos(-1/sqrt(3)) = 125.264390°
  • at {3} between escu and oct:   120°
  • at {3} between oct and sirco:   120°
  • at {4} between escu and escu:   90°
  • at {4} between escu and sirco:   90°
  • at {8} between escu and tic:   90°
  • at {3} between tic and trip:   90°
Confer
uniform relative:
srit  
related segmentochora:
sircoatic   ticcup  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

xoo3oxx4xxx&#xt   → height(1,2) = 1/sqrt(2) = 0.707107
                    height(2,3) = 1
(sirco || pseudo tic || tic)

o..3o..4o..     | 24  *  * |  2  2  2  0  0  0  0  0 | 1  2 1  2  1  2 0  0  0 0 0 | 1 1  2 1 0 0
.o.3.o.4.o.     |  * 24  * |  0  0  2  2  1  1  0  0 | 0  0 0  1  2  2 1  2  1 0 0 | 0 1  1 2 1 0
..o3..o4..o     |  *  * 24 |  0  0  0  0  0  1  2  1 | 0  0 0  0  0  0 0  2  1 1 2 | 0 0  0 2 1 1
----------------+----------+-------------------------+-----------------------------+-------------
x.. ... ...     |  2  0  0 | 24  *  *  *  *  *  *  * | 1  1 0  1  0  0 0  0  0 0 0 | 1 1  1 0 0 0
... ... x..     |  2  0  0 |  * 24  *  *  *  *  *  * | 0  1 1  0  0  1 0  0  0 0 0 | 1 0  1 1 0 0
oo.3oo.4oo.&#x  |  1  1  0 |  *  * 48  *  *  *  *  * | 0  0 0  1  1  1 0  0  0 0 0 | 0 1  1 1 0 0
... .x. ...     |  0  2  0 |  *  *  * 24  *  *  *  * | 0  0 0  0  1  0 1  1  0 0 0 | 0 1  0 1 1 0
... ... .x.     |  0  2  0 |  *  *  *  * 12  *  *  * | 0  0 0  0  0  2 0  0  1 0 0 | 0 0  1 2 0 0
.oo3.oo4.oo&#x  |  0  1  1 |  *  *  *  *  * 24  *  * | 0  0 0  0  0  0 0  2  1 0 0 | 0 0  0 2 1 0
... ..x ...     |  0  0  2 |  *  *  *  *  *  * 24  * | 0  0 0  0  0  0 0  1  0 1 1 | 0 0  0 1 1 1
... ... ..x     |  0  0  2 |  *  *  *  *  *  *  * 12 | 0  0 0  0  0  0 0  0  1 0 2 | 0 0  0 2 0 1
----------------+----------+-------------------------+-----------------------------+-------------
x..3o.. ...     |  3  0  0 |  3  0  0  0  0  0  0  0 | 8  * *  *  *  * *  *  * * * | 1 1  0 0 0 0
x.. ... x..     |  4  0  0 |  2  2  0  0  0  0  0  0 | * 12 *  *  *  * *  *  * * * | 1 0  1 0 0 0
... o..4x..     |  4  0  0 |  0  4  0  0  0  0  0  0 | *  * 6  *  *  * *  *  * * * | 1 0  0 1 0 0
xo. ... ...&#x  |  2  1  0 |  1  0  2  0  0  0  0  0 | *  * * 24  *  * *  *  * * * | 0 1  1 0 0 0
... ox. ...&#x  |  1  2  0 |  0  0  2  1  0  0  0  0 | *  * *  * 24  * *  *  * * * | 0 1  0 1 0 0
... ... xx.&#x  |  2  2  0 |  0  1  2  0  1  0  0  0 | *  * *  *  * 24 *  *  * * * | 0 0  1 1 0 0
.o.3.x. ...     |  0  3  0 |  0  0  0  3  0  0  0  0 | *  * *  *  *  * 8  *  * * * | 0 1  0 0 1 0
... .xx ...&#x  |  0  2  2 |  0  0  0  1  0  2  1  0 | *  * *  *  *  * * 24  * * * | 0 0  0 1 1 0
... ... .xx&#x  |  0  2  2 |  0  0  0  0  1  2  0  1 | *  * *  *  *  * *  * 12 * * | 0 0  0 2 0 0
..o3..x ...     |  0  0  3 |  0  0  0  0  0  0  3  0 | *  * *  *  *  * *  *  * 8 * | 0 0  0 0 1 1
... ..x4..x     |  0  0  8 |  0  0  0  0  0  0  4  4 | *  * *  *  *  * *  *  * * 6 | 0 0  0 1 0 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 *  * * * *
xo.3ox. ...&#x    3  3  0 |  3  0  6  3  0  0  0  0 | 1  0 0  3  3  0 1  0  0 0 0 | * 8  * * * *
xo. ... xx.&#x    4  2  0 |  2  2  4  0  1  0  0  0 | 0  1 0  2  0  2 0  0  0 0 0 | * * 12 * * *
... oxx4xxx&#xt   4  8  8 |  0  4  8  4  4  8  4  4 | 0  0 1  0  4  4 0  4  4 0 1 | * *  * 6 * *
.oo3.xx ...&#x    0  3  3 |  0  0  0  3  0  3  3  0 | 0  0 0  0  0  0 1  3  0 1 0 | * *  * * 8 *
..o3..x4..x       0  0 24 |  0  0  0  0  0  0 24 12 | 0  0 0  0  0  0 0  0  0 8 6 | * *  * * * 1

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