Acronym eocta sirco
Name elongated octasirco
Circumradius ...
Lace city
in approx. ASCII-art
        o4o         o4x         o4o        
                                           
                                           
                                           
x4o         x4x             x4x         x4o
                                           
                                           
                                           
                                           
                                           
                                           
x4o         x4x             x4x         x4o
Dihedral angles
  • at {4} between trip and trip:   arccos(-sqrt[8/9]) = 160.528779°
  • at {3} between oct and trip:   150°
  • at {3} between squippy and trip:   150°
  • at {4} between cube and trip:   arccos(-sqrt(2/3)) = 144.735610°
  • at {4} between cube and cube:   135°
  • at {4} between cube and squippy (margin):   135°
  • at {4} between cube and trip (margin):   arccos(-1/sqrt(3)) = 125.264390°
  • at {3} between trip and trip (margin):   120°
  • at {4} between cube and sirco:   90°
  • at {3} between sirco and trip:   90°
Confer
related segmentochora:
octasirco   sircope  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

xxx3ooo4oxx&#x   → height(1,2) = 1/2
                   height(2,3) = 1
(oct || pseudo sirco || sirco)

o..3o..4o..    | 6  *  * |  4  4  0  0  0  0  0 | 4  8  4 0  0 0  0  0 0  0 0 | 1 4  4 1 0  0 0 0
.o.3.o.4.o.    | * 24  * |  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..o4..o    | *  * 24 |  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 | 12  *  *  *  *  *  * | 2  2  0 0  0 0  0  0 0  0 0 | 1 2  1 0 0  0 0 0
oo.3oo.4oo.&#x | 1  1  0 |  * 24  *  *  *  *  * | 0  2  2 0  0 0  0  0 0  0 0 | 0 1  2 1 0  0 0 0
.x. ... ...    | 0  2  0 |  *  * 24  *  *  *  * | 0  1  0 1  1 0  1  0 0  0 0 | 0 1  1 0 1  1 0 0
... ... .x.    | 0  2  0 |  *  *  * 24  *  *  * | 0  0  1 0  1 1  0  1 0  0 0 | 0 0  1 1 0  1 1 0
.oo3.oo4.oo&#x | 0  1  1 |  *  *  *  * 24  *  * | 0  0  0 0  0 0  2  2 0  0 0 | 0 0  0 0 1  2 1 0
..x ... ...    | 0  0  2 |  *  *  *  *  * 24  * | 0  0  0 0  0 0  1  0 1  1 0 | 0 0  0 0 1  1 0 1
... ... ..x    | 0  0  2 |  *  *  *  *  *  * 24 | 0  0  0 0  0 0  0  1 0  1 1 | 0 0  0 0 0  1 1 1
---------------+---------+----------------------+-----------------------------+------------------
x..3o.. ...    | 3  0  0 |  3  0  0  0  0  0  0 | 8  *  * *  * *  *  * *  * * | 1 1  0 0 0  0 0 0
xx. ... ...&#x | 2  2  0 |  1  2  1  0  0  0  0 | * 24  * *  * *  *  * *  * * | 0 1  1 0 0  0 0 0
... ... ox.&#x | 1  2  0 |  0  2  0  1  0  0  0 | *  * 24 *  * *  *  * *  * * | 0 0  1 1 0  0 0 0
.x.3.o. ...    | 0  3  0 |  0  0  3  0  0  0  0 | *  *  * 8  * *  *  * *  * * | 0 1  0 0 1  0 0 0
.x. ... .x.    | 0  4  0 |  0  0  2  2  0  0  0 | *  *  * * 12 *  *  * *  * * | 0 0  1 0 0  1 0 0
... .o.4.x.    | 0  4  0 |  0  0  0  4  0  0  0 | *  *  * *  * 6  *  * *  * * | 0 0  0 1 0  0 1 0
.xx ... ...&#x | 0  2  2 |  0  0  1  0  2  1  0 | *  *  * *  * * 24  * *  * * | 0 0  0 0 1  1 0 0
... ... .xx&#x | 0  2  2 |  0  0  0  1  2  0  1 | *  *  * *  * *  * 24 *  * * | 0 0  0 0 0  1 1 0
..x3..o ...    | 0  0  3 |  0  0  0  0  0  3  0 | *  *  * *  * *  *  * 8  * * | 0 0  0 0 1  0 0 1
..x ... ..x    | 0  0  4 |  0  0  0  0  0  2  2 | *  *  * *  * *  *  * * 12 * | 0 0  0 0 0  1 0 1
... ..o4..x    | 0  0  4 |  0  0  0  0  0  0  4 | *  *  * *  * *  *  * *  * 6 | 0 0  0 0 0  0 1 1
---------------+---------+----------------------+-----------------------------+------------------
x..3o..4o..     6  0  0 | 12  0  0  0  0  0  0 | 8  0  0 0  0 0  0  0 0  0 0 | 1 *  * * *  * * *
xx.3oo. ...&#x  3  3  0 |  3  3  3  0  0  0  0 | 1  3  0 1  0 0  0  0 0  0 0 | * 8  * * *  * * *
xx. ... ox.&#x  2  4  0 |  1  4  2  2  0  0  0 | 0  2  2 0  1 0  0  0 0  0 0 | * * 12 * *  * * *
... oo.4ox.&#x  1  4  0 |  0  4  0  4  0  0  0 | 0  0  4 0  0 1  0  0 0  0 0 | * *  * 6 *  * * *
.xx3.oo ...&#x  0  3  3 |  0  0  3  0  3  3  0 | 0  0  0 1  0 0  3  0 1  0 0 | * *  * * 8  * * *
.xx ... .xx&#x  0  4  4 |  0  0  2  2  4  2  2 | 0  0  0 0  1 0  2  2 0  1 0 | * *  * * * 12 * *
... .oo4.xx&#x  0  4  4 |  0  0  0  4  4  0  4 | 0  0  0 0  0 1  0  4 0  0 1 | * *  * * *  * 6 *
..x3..o4..x     0  0 24 |  0  0  0  0  0 24 24 | 0  0  0 0  0 0  0  0 8 12 6 | * *  * * *  * * 1

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