Acronym octasircoacube
Name oct atop sirco atop cube
Lace city
in approx. ASCII-art
        o4o         o4x         o4o        
                                           
                                           
                                           
x4o         x4x             x4x         x4o
                                           
                                           
                                           
                                           
                                           
            x4o             x4o            
Dihedral angles
(at margins)
  • at {4} between trip and trip (within upper segment):   arccos[-sqrt(8)/3] = 160.528779°
  • at {3} between oct and trip:   150°
  • at {3} between squippy and trip:   150°
  • at {3} between tet and trip (within lower segment):   150°
  • at {4} between (lacing) cube and trip:   arccos(-sqrt[2/3]) = 144.735610°
  • at {4} between (base) cube and (lacing) cube:   135°
  • at {4} between cube and squippy (across rim):   90°
  • at {3} between tet and trip (across rim):   90°
  • at {4} between trip and trip (across rim):   90°
Confer
segmentochora:
octasirco   cubasirco  
general polytopal classes:
bistratic lace towers  

This polychoron is a mere stack of 2 segmentochora. None the less it is special in that all dihedrals of the rim independently equate to 90°.


Incidence matrix according to Dynkin symbol

xxo3ooo4oxx&#xt   → height(1,2) = 1/2
                    height(2,3) = 1/sqrt(2) = 0.707107
(oct || pseudo sirco || cube)

o..3o..4o..    | 6  * * |  4  4  0  0  0  0 | 4  8  4 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  2  2 1  2 1  2  2 0 | 0 1  2 1 1  2 1 0
..o3..o4..o    | *  * 8 |  0  0  0  0  3  3 | 0  0  0 0  0 0  3  6 3 | 0 0  0 0 1  3 3 1
---------------+--------+-------------------+------------------------+------------------
x.. ... ...    | 2  0 0 | 12  *  *  *  *  * | 2  2  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 1  2 1 0  0 0 0
.x. ... ...    | 0  2 0 |  *  * 24  *  *  * | 0  1  0 1  1 0  1  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  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 1  2 1 0
... ... ..x    | 0  0 2 |  *  *  *  *  * 12 | 0  0  0 0  0 0  0  2 2 | 0 0  0 0 0  1 2 1
---------------+--------+-------------------+------------------------+------------------
x..3o.. ...    | 3  0 0 |  3  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 | * 24  * *  * *  *  * * | 0 1  1 0 0  0 0 0
... ... ox.&#x | 1  2 0 |  0  2  0  1  0  0 | *  * 24 *  * *  *  * * | 0 0  1 1 0  0 0 0
.x.3.o. ...    | 0  3 0 |  0  0  3  0  0  0 | *  *  * 8  * *  *  * * | 0 1  0 0 1  0 0 0
.x. ... .x.    | 0  4 0 |  0  0  2  2  0  0 | *  *  * * 12 *  *  * * | 0 0  1 0 0  1 0 0
... .o.4.x.    | 0  4 0 |  0  0  0  4  0  0 | *  *  * *  * 6  *  * * | 0 0  0 1 0  0 1 0
.xo ... ...&#x | 0  2 1 |  0  0  1  0  2  0 | *  *  * *  * * 24  * * | 0 0  0 0 1  1 0 0
... ... .xx&#x | 0  2 2 |  0  0  0  1  2  1 | *  *  * *  * *  * 24 * | 0 0  0 0 0  2 0 0
... ..o4..x    | 0  0 4 |  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 | 8  0  0 0  0 0  0  0 0 | 1 *  * * *  * * *
xx.3oo. ...&#x  3  3 0 |  3  3  3  0  0  0 | 1  3  0 1  0 0  0  0 0 | * 8  * * *  * * *
xx. ... ox.&#x  2  4 0 |  1  4  2  2  0  0 | 0  2  2 0  1 0  0  0 0 | * * 12 * *  * * *
... oo.4ox.&#x  1  4 0 |  0  4  0  4  0  0 | 0  0  4 0  0 1  0  0 0 | * *  * 6 *  * * *
.xo3.oo ...&#x  0  3 1 |  0  0  3  0  3  0 | 0  0  0 1  0 0  3  0 0 | * *  * * 8  * * *
.xo ... .xx&#x  0  4 2 |  0  0  2  2  4  1 | 0  0  0 0  1 0  2  2 0 | * *  * * * 12 * *
... .oo4.xx&#x  0  4 4 |  0  0  0  4  4  4 | 0  0  0 0  0 1  4  0 1 | * *  * * *  * 6 *
..o3..o4..x     0  0 8 |  0  0  0  0  0 12 | 0  0  0 0  0 0  0  0 6 | * *  * * *  * * 1

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