Acronym etetaco
Name elongated tetaco
Circumradius ...
Lace city
in approx. ASCII-art
    x3o   o3o  
               
               
x3o   x3x   o3x
               
               
               
               
x3o   x3x   o3x
Dihedral angles
  • at {3} between tet and trip (margin):   arccos[-sqrt(15)/4] = 165.522488°
  • at {4} between cube and trip (margin):   arccos[-sqrt(5/6)] = 155.905157°
  • at {3} between trip and trip (margin):   arccos[-sqrt(5/8)] = 142.238756°
  • at {4} between trip and trip:   arccos(-2/3) = 131.810315°
  • at {3} between tet and trip:   arccos(-sqrt(3/8)) = 127.761244°
  • at {4} between cube and trip:   arccos(-1/sqrt(3)) = 125.264390°
  • at {4} between co and cube:   90°
  • at {3} between co and trip:   90°
Confer
related segmentochora:
tetaco   cope  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

oxx3ooo3xxx&#x   → height(1,2) = sqrt(5/8) = 0.790569
                   height(2,3) = 1
(tet || pseudo co || co)

o..3o..3o..    | 4  *  *  3  3  0  0  0  0  0 | 3  3  6 0 0 0  0  0 0 0 0 | 1 1 3 3 0 0 0 0
.o.3.o.3.o.    | * 12  * | 0  1  2  2  1  0  0 | 0  2  2 1 2 1  2  2 0 0 0 | 0 1 2 1 1 2 1 0
..o3..o3..o    | *  * 12  0  0  0  0  1  2  2 | 0  0  0 0 0 0  2  2 1 2 1 | 0 0 0 0 1 2 1 1
---------------+---------+---------------------+---------------------------+----------------
... ... x..    | 2  0  0 | 6  *  *  *  *  *  * | 2  0  2 0 0 0  0  0 0 0 0 | 1 0 1 2 0 0 0 0
oo.3oo.3oo.&#x | 1  1  0 | * 12  *  *  *  *  * | 0  2  2 0 0 0  0  0 0 0 0 | 0 1 2 1 0 0 0 0
.x. ... ...    | 0  2  0 | *  * 12  *  *  *  * | 0  1  0 1 1 0  1  0 0 0 0 | 0 1 1 0 1 1 0 0
... ... .x.    | 0  2  0 | *  *  * 12  *  *  * | 0  0  1 0 1 1  0  1 0 0 0 | 0 0 1 1 0 1 1 0
.oo3.oo3.oo&#x | 0  1  1 | *  *  *  * 12  *  * | 0  0  0 0 0 0  2  2 0 0 0 | 0 0 0 0 1 2 1 0
..x ... ...    | 0  0  2 | *  *  *  *  * 12  * | 0  0  0 0 0 0  1  0 1 1 0 | 0 0 0 0 1 1 0 1
... ... ..x    | 0  0  2 | *  *  *  *  *  * 12 | 0  0  0 0 0 0  0  1 0 1 1 | 0 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 0
ox. ... ...&#x | 1  2  0 | 0  2  1  0  0  0  0 | * 12  * * * *  *  * * * * | 0 1 1 0 0 0 0 0
... ... xx.&#x | 2  2  0 | 1  2  0  1  0  0  0 | *  * 12 * * *  *  * * * * | 0 0 1 1 0 0 0 0
.x.3.o. ...    | 0  3  0 | 0  0  3  0  0  0  0 | *  *  * 4 * *  *  * * * * | 0 1 0 0 1 0 0 0
.x. ... .x.    | 0  4  0 | 0  0  2  2  0  0  0 | *  *  * * 6 *  *  * * * * | 0 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 0 1 0
.xx ... ...&#x | 0  2  2 | 0  0  1  0  2  1  0 | *  *  * * * * 12  * * * * | 0 0 0 0 1 1 0 0
... ... .xx&#x | 0  2  2 | 0  0  0  1  2  0  1 | *  *  * * * *  * 12 * * * | 0 0 0 0 0 1 1 0
..x3..o ...    | 0  0  3 | 0  0  0  0  0  3  0 | *  *  * * * *  *  * 4 * * | 0 0 0 0 1 0 0 1
..x ... ..x    | 0  0  4 | 0  0  0  0  0  2  2 | *  *  * * * *  *  * * 6 * | 0 0 0 0 0 1 0 1
... ..o3..x    | 0  0  3 | 0  0  0  0  0  0  3 | *  *  * * * *  *  * * * 4 | 0 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 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 0 | * 4 * * * * * *
ox. ... xx.&#x  2  4  0 | 1  4  2  2  0  0  0 | 0  2  2 0 1 0  0  0 0 0 0 | * * 6 * * * * *
... oo.3xx.&#x  3  3  0 | 3  3  0  3  0  0  0 | 1  0  3 0 0 1  0  0 0 0 0 | * * * 4 * * * *
.xx3.oo ...&#x  0  3  3 | 0  0  3  0  3  3  0 | 0  0  0 1 0 0  3  0 1 0 0 | * * * * 4 * * *
.xx ... .xx&#x  0  4  4 | 0  0  2  2  4  2  2 | 0  0  0 0 1 0  2  2 0 1 0 | * * * * * 6 * *
... .oo3.xx&#x  0  3  3 | 0  0  0  3  3  0  3 | 0  0  0 0 0 1  0  3 0 0 1 | * * * * * * 4 *
..x3..o3..x     0  0 12 | 0  0  0  0  0 12 12 | 0  0  0 0 0 0  0  0 4 6 4 | * * * * * * * 1

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