Acronym tetaco altut
Name tetrahedron atop cuboctahedron atop inverted truncated tetrahedron
 
 ©
Circumradius ...
Lace city
in approx. ASCII-art
      x o   o x      		-- tet
                     
                     
   x x  uo ou  x x   		-- co
                     
                     
o x   x u   u x   x o		-- inv tut

                     \
                      +-- gybef
     o3x  o3o 		-- tet
              
 o3x  x3x  x3o		-- co
              
x3o  u3o  x3x 		-- inv tut
Dihedral angles
  • at {3} between oct and trip:   arccos(-sqrt[27/32]) = 156.716268°
  • at {3} between tet and tricu:   arccos(-7/8) = 151.044976°
  • at {4} between gybef and trip:   arccos(-2/3) = 131.810315°
  • at {3} between gybef and oct:   arccos(-sqrt(3/8)) = 127.761244°
  • at {3} between tet and trip:   arccos(-sqrt(3/8)) = 127.761244°
  • at {4} between gybef and tricu:   arccos(-1/sqrt(6)) = 114.094843°
  • at {3} between oct and tricu:   arccos(-1/4) = 104.477512°
  • at {6} between tricu and tut:   arccos(-1/4) = 104.477512°
  • at {3} between oct and tut:   arccos(1/4) = 75.522488°
general polytopal classes:
bistratic lace towers  
Confer
related CRFs:
srip   coatut   tetaco  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

oxx3oox3xxo&#xt   → both heights = sqrt(5/8) = 0.790569
(tet || pseudo co || inv tut)

o..3o..3o..     | 4  *  *  3  3  0  0  0 0  0 | 3  3  6 0 0  0  0  0 0 0 | 1 1 3 3 0 0 0
.o.3.o.3.o.     | * 12  * | 0  1  2  2  2 0  0 | 0  2  2 1 1  2  1  2 0 0 | 0 1 2 1 1 1 0
..o3..o3..o     | *  * 12 | 0  0  0  0  2 1  2 | 0  0  0 0 0  2  2  1 2 1 | 0 0 1 0 2 1 1
----------------+---------+--------------------+--------------------------+--------------
... ... x..     | 2  0  0 | 6  *  *  *  * *  * | 2  0  2 0 0  0  0  0 0 0 | 1 0 1 2 0 0 0
oo.3oo.3oo.&#x  | 1  1  0 | * 12  *  *  * *  * | 0  2  2 0 0  0  0  0 0 0 | 0 1 2 1 0 0 0
.x. ... ...     | 0  2  0 | *  * 12  *  * *  * | 0  1  0 1 0  1  0  0 0 0 | 0 1 1 0 1 0 0
... ... .x.     | 0  2  0 | *  *  * 12  * *  * | 0  0  1 0 1  0  0  1 0 0 | 0 0 1 1 0 1 0
.oo3.oo3.oo&#x  | 0  1  1 | *  *  *  * 24 *  * | 0  0  0 0 0  1  1  1 0 0 | 0 0 1 0 1 1 0
..x ... ...     | 0  0  2 | *  *  *  *  * 6  * | 0  0  0 0 0  2  0  0 2 0 | 0 0 1 0 2 0 1
... ..x ...     | 0  0  2 | *  *  *  *  * * 12 | 0  0  0 0 0  0  1  0 1 1 | 0 0 0 0 1 1 1
----------------+---------+--------------------+--------------------------+--------------
... o..3x..     | 3  0  0 | 3  0  0  0  0 0  0 | 4  *  * * *  *  *  * * * | 1 0 0 1 0 0 0
ox. ... ...&#x  | 1  2  0 | 0  2  1  0  0 0  0 | * 12  * * *  *  *  * * * | 0 1 1 0 0 0 0
... ... xx.&#x  | 2  2  0 | 1  2  0  1  0 0  0 | *  * 12 * *  *  *  * * * | 0 0 1 1 0 0 0
.x.3.o. ...     | 0  3  0 | 0  0  3  0  0 0  0 | *  *  * 4 *  *  *  * * * | 0 1 0 0 1 0 0
... .o.3.x.     | 0  3  0 | 0  0  0  3  0 0  0 | *  *  * * 4  *  *  * * * | 0 0 0 1 0 1 0
.xx ... ...&#x  | 0  2  2 | 0  0  1  0  2 1  0 | *  *  * * * 12  *  * * * | 0 0 1 0 1 0 0
... .ox ...&#x  | 0  1  2 | 0  0  0  0  2 0  1 | *  *  * * *  * 12  * * * | 0 0 0 0 1 1 0
... ... .xo&#x  | 0  2  1 | 0  0  0  1  2 0  0 | *  *  * * *  *  * 12 * * | 0 0 1 0 0 1 0
..x3..x ...     | 0  0  6 | 0  0  0  0  0 3  3 | *  *  * * *  *  *  * 4 * | 0 0 0 0 1 0 1
... ..x3..o     | 0  0  3 | 0  0  0  0  0 0  3 | *  *  * * *  *  *  * * 4 | 0 0 0 0 0 1 1
----------------+---------+--------------------+--------------------------+--------------
o..3o..3x..      4  0  0 | 6  0  0  0  0 0  0 | 4  0  0 0 0  0  0  0 0 0 | 1 * * * * * *
ox.3oo. ...&#x   1  3  0 | 0  3  3  0  0 0  0 | 0  3  0 1 0  0  0  0 0 0 | * 4 * * * * *
oxx ... xxo&#xt  2  4  2 | 1  4  2  2  4 1  0 | 0  2  2 0 0  2  0  2 0 0 | * * 6 * * * *
... oo.3xx.&#x   3  3  0 | 3  3  0  3  0 0  0 | 1  0  3 0 1  0  0  0 0 0 | * * * 4 * * *
.xx3.ox ...&#x   0  3  6 | 0  0  3  0  6 3  3 | 0  0  0 1 0  3  3  0 1 0 | * * * * 4 * *
... .ox3.xo&#x   0  3  3 | 0  0  0  3  6 0  3 | 0  0  0 0 1  0  3  3 0 1 | * * * * * 4 *
..x3..x3..o      0  0 12 | 0  0  0  0  0 6 12 | 0  0  0 0 0  0  0  0 4 4 | * * * * * * 1

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