Acronym etutatoe
Name elongated tutatoe
Circumradius ...
Lace city
in approx. ASCII-art
 x3o  u3o  x3x    
                  
x3x  u3x  x3u  x3x
                  
                  
x3x  u3x  x3u  x3x
Dihedral angles
  • at {6} between hip and tricu:   arccos[-sqrt(15)/4] = 165.522488°
  • at {4} between cube and trip:   arccos[-sqrt(5/6)] = 155.905157°
  • at {6} between hip and hip:   arccos[-sqrt(5/8)] = 142.238756°
  • at {4} between hip and trip:   arccos(-2/3) = 131.810315°
  • at {6} between hip and tut:   arccos(-sqrt[3/8]) = 127.761244°
  • at {3} between tricu and trip:   arccos(-sqrt[3/8]) = 127.761244°
  • at {4} between cube and hip:   arccos(-1/sqrt(3)) = 125.264390°
  • at {4} between hip and tricu:   arccos(-sqrt[1/6]) = 114.094843°
  • at {4} between hip and hip:   arccos(-1/3) = 109.471221°
  • at {3} between tricu and tut:   arccos(-1/4) = 104.477512°
  • at {4} between cube and toe:   90°
  • at {6} between hip and toe:   90°
Confer
segmentochora:
tutatoe   tope  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

oxx3xxx3xxx&#xt   → pyramid height(1,2) = sqrt(5/8) = 0.790569
                    height(2,3) = 1
(tut || pseudo toe || toe)

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

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