Acronym eoctatut
Name elongated octatut
Lace city
in approx. ASCII-art
    x3o  o3x 
             
x3o  u3o  x3x
             
             
x3o  u3o  x3x
   o o   x x   o o   
                     
                     
o x   x u   u x   x o
                     
                     
                     
o x   x u   u x   x o
Dihedral angles
(at margins)
  • at {6} between hip and tricu:   arccos[-sqrt(15)/4] = 165.522488°
  • at {3} between trip and trip:   arccos[-sqrt(5/8)] = 142.238756°
  • at {3} between oct and trip:   arccos(-sqrt[3/8]) = 127.761244°
  • at {4} between tricu and trip:   arccos(-1/sqrt(6)) = 114.094843°
  • at {4} between hip and trip:   arccos(-1/3) = 109.471221°
  • at {3} between oct and tricu:   arccos(-1/4) = 104.477512°
  • at {6} between hip and tut:   90°
  • at {3} between trip and tut:   90°
  • at {3} between tricu and tricu:   arccos(1/4) = 75.522488°
  • at {4} between hip and hip:   arccos(1/3) = 70.528779°
Confer
segmentochora:
octatut   tuttip  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

oxx3xxx3ooo&#xt   → height(1,2) = sqrt(5/8) = 0.790569
                    height(2,3) = 1
(oct || pseudo tut || tut)

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