Acronym coatobcu
Name coatoe bicupola,
equatorially contracted rectified icositetrachoron
Lace city
in approx. ASCII-art
   o3x   x3x   x3o   
                     
                     
x3x   u3x   x3u   x3x
                     
                     
   o3x   x3x   x3o   
    x4o o4q x4o    
                   
x4o u4o x4q u4o x4o
                   
    x4o o4q x4o    
Dihedral angles
Confer
related segmentochora:
co || toe  
related CRFs:
wx ox3xx4oo&#zx  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

qo ox3xx4oo&#zx   → height = 0
(tegum sum of (q,x)-cope and para toe)

o. o.3o.4o.     | 24  *   4  2  0  0 |  2  2  1  4 0 0 | 1  2  2
.o .o3.o4.o     |  * 24 |  0  2  1  2 |  0  0  2  4 2 1 | 0  4  2
----------------+-------+-------------+-----------------+--------
.. .. x. ..     |  2  0 | 48  *  *  * |  1  1  0  1 0 0 | 1  1  1
oo oo3oo4oo&#x  |  1  1 |  * 48  *  * |  0  0  1  2 0 0 | 0  2  1
.. .x .. ..     |  0  2 |  *  * 12  * |  0  0  2  0 2 0 | 0  4  0
.. .. .x ..     |  0  2 |  *  *  * 24 |  0  0  0  2 1 1 | 0  2  2
----------------+-------+-------------+-----------------+--------
.. o.3x. ..     |  3  0 |  3  0  0  0 | 16  *  *  * * * | 1  1  0
.. .. x.4o.     |  4  0 |  4  0  0  0 |  * 12  *  * * * | 1  0  1
.. ox .. ..&#x  |  1  2 |  0  2  1  0 |  *  * 24  * * * | 0  2  0
.. .. xx ..&#x  |  2  2 |  1  2  0  1 |  *  *  * 48 * * | 0  1  1
.. .x3.x ..     |  0  6 |  0  0  3  3 |  *  *  *  * 8 * | 0  2  0
.. .. .x4.o     |  0  4 |  0  0  0  4 |  *  *  *  * * 6 | 0  0  2
----------------+-------+-------------+-----------------+--------
.. o.3x.4o.      12  0 | 24  0  0  0 |  8  6  0  0 0 0 | 2  *  *
.. ox3xx ..&#x    3  6 |  3  6  3  3 |  1  0  3  3 1 0 | * 16  *
.. .. xx4oo&#x    4  4 |  4  4  0  4 |  0  1  0  4 0 1 | *  * 12

qo xx3ox3xx&#zx   → height = 0
(tegum sum of (q,x)-cope and para toe)

o. o.3o.3o.     | 24  *   2  2  2  0  0  0 | 1  2 1  2  1  2 0 0 0 | 1 1  2 1
.o .o3.o3.o     |  * 24 |  0  0  2  1  1  1 | 0  0 0  2  2  2 1 1 1 | 0 2  2 2
----------------+-------+-------------------+-----------------------+---------
.. x. .. ..     |  2  0 | 24  *  *  *  *  * | 1  1 0  1  0  0 0 0 0 | 1 1  1 0
.. .. .. x.     |  2  0 |  * 24  *  *  *  * | 0  1 1  0  0  1 0 0 0 | 1 0  1 1
oo oo3oo3oo&#x  |  1  1 |  *  * 48  *  *  * | 0  0 0  1  1  1 0 0 0 | 0 1  1 1
.. .x .. ..     |  0  2 |  *  *  * 12  *  * | 0  0 0  2  0  0 1 1 0 | 0 2  2 0
.. .. .x ..     |  0  2 |  *  *  *  * 12  * | 0  0 0  0  2  0 1 0 1 | 0 2  0 2
.. .. .. .x     |  0  2 |  *  *  *  *  * 12 | 0  0 0  0  0  2 0 1 1 | 0 0  2 2
----------------+-------+-------------------+-----------------------+---------
.. x.3o. ..     |  3  0 |  3  0  0  0  0  0 | 8  * *  *  *  * * * * | 1 1  0 0
.. x. .. x.     |  4  0 |  2  2  0  0  0  0 | * 12 *  *  *  * * * * | 1 0  1 0
.. .. o.3x.     |  3  0 |  0  3  0  0  0  0 | *  * 8  *  *  * * * * | 1 0  0 1
.. xx .. ..&#x  |  2  2 |  1  0  2  1  0  0 | *  * * 24  *  * * * * | 0 1  1 0
.. .. ox ..&#x  |  1  2 |  0  0  2  0  1  0 | *  * *  * 24  * * * * | 0 1  0 1
.. .. .. xx&#x  |  2  2 |  0  1  2  0  0  1 | *  * *  *  * 24 * * * | 0 0  1 1
.. .x3.x ..     |  0  6 |  0  0  0  3  3  0 | *  * *  *  *  * 4 * * | 0 2  0 0
.. .x .. .x     |  0  4 |  0  0  0  2  0  2 | *  * *  *  *  * * 6 * | 0 0  2 0
.. .. .x3.x     |  0  6 |  0  0  0  0  3  3 | *  * *  *  *  * * * 4 | 0 0  0 2
----------------+-------+-------------------+-----------------------+---------
.. x.3o.3x.      12  0 | 12 12  0  0  0  0 | 4  6 4  0  0  0 0 0 0 | 2 *  * *
.. xx3ox ..&#x    3  6 |  3  0  6  3  3  0 | 1  0 0  3  3  0 1 0 0 | * 8  * *
.. xx .. xx&#x    4  4 |  2  2  4  2  0  2 | 0  1 0  2  0  2 0 1 0 | * * 12 *
.. .. ox3xx&#x    3  6 |  0  3  6  0  3  3 | 0  0 1  0  3  3 0 0 1 | * *  * 8

oxo3xxx4ooo&#xt   → both heights = 1/sqrt(2) = 0.7071070
(co || pseudo toe || co)

o..3o..4o..    & | 24  *   4  2  0  0 |  2  2  1  4 0 0 | 1  2  2
.o.3.o.4.o.      |  * 24 |  0  2  1  2 |  0  0  2  4 2 1 | 0  4  2
-----------------+-------+-------------+-----------------+--------
... x.. ...    & |  2  0 | 48  *  *  * |  1  1  0  1 0 0 | 1  1  1
oo.3oo.4oo.&#x & |  1  1 |  * 48  *  * |  0  0  1  2 0 0 | 0  2  1
.x. ... ...      |  0  2 |  *  * 12  * |  0  0  2  0 2 0 | 0  4  0
... .x. ...      |  0  2 |  *  *  * 24 |  0  0  0  2 1 1 | 0  2  2
-----------------+-------+-------------+-----------------+--------
o..3x.. ...    & |  3  0 |  3  0  0  0 | 16  *  *  * * * | 1  1  0
... x..4o..    & |  4  0 |  4  0  0  0 |  * 12  *  * * * | 1  0  1
ox. ... ...&#x & |  1  2 |  0  2  1  0 |  *  * 24  * * * | 0  2  0
... xx. ...&#x & |  2  2 |  1  2  0  1 |  *  *  * 48 * * | 0  1  1
.x.3.x. ...      |  0  6 |  0  0  3  3 |  *  *  *  * 8 * | 0  2  0
... .x.4.o.      |  0  4 |  0  0  0  4 |  *  *  *  * * 6 | 0  0  2
-----------------+-------+-------------+-----------------+--------
o..3x..4o..    &  12  0 | 24  0  0  0 |  8  6  0  0 0 0 | 2  *  *
ox.3xx. ...&#x &   3  6 |  3  6  3  3 |  1  0  3  3 1 0 | * 16  *
... xx.4oo.&#x &   4  4 |  4  4  0  4 |  0  1  0  4 0 1 | *  * 12

xxx3oxo3xxx&#xt   → both heights = 1/sqrt(2) = 0.7071070
(co || pseudo toe || co)

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

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