Acronym gyspid (alt: tetacobcu)
Name gyrated small prismatodecachoron,
orthobicupola of runcinated pentachoron,
tetaco orthobicupola
Circumradius 1
Lace city
in approx. ASCII-art
    x3o   o3o  
               
               
x3o   x3x   o3x
               
               
    x3o   o3o  
Dihedral angles
  • at {3} between tet and tet:   arccos(-7/8) = 151.044976°
  • at {4} between trip and trip:   arccos(-2/3) = 131.810315°
  • at {3} between tet and trip:   arccos(-sqrt(3/8)) = 127.761244°
  • at {3} between trip and trip:   arccos(-1/4) = 104.477512°
Confer
uniform relative:
spid  
related segmentochora:
tet || co   tet || tricu   tricuf  
related CRFs:
tracufbil  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

xxx3ooo3oxo&#xt   → both heights = sqrt(5/8) = 0.790569
(tet || pseudo co || tet)

o..3o..3o..    | 4  * *  3  3  0  0  0 0 | 3  6  3 0 0 0  0  0 0 | 1 3 3 1 0 0 0 0
.o.3.o.3.o.    | * 12 * | 0  1  2  2  1 0 | 0  2  2 1 2 1  2  2 0 | 0 1 2 1 1 2 1 0
..o3..o3..o    | *  * 4  0  0  0  0  3 3 | 0  0  0 0 0 0  6  3 3 | 0 0 0 0 3 3 1 1
---------------+--------+-----------------+-----------------------+----------------
x.. ... ...    | 2  0 0 | 6  *  *  *  * * | 2  2  0 0 0 0  0  0 0 | 1 2 1 0 0 0 0 0
oo.3oo.3oo.&#x | 1  1 0 | * 12  *  *  * * | 0  2  2 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 1 1 0 1 1 0 0
... ... .x.    | 0  2 0 | *  *  * 12  * * | 0  0  1 0 1 1  0  1 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 1 2 1 0
..x ... ...    | 0  0 2 | *  *  *  *  * 6 | 0  0  0 0 0 0  2  0 2 | 0 0 0 0 2 1 0 1
---------------+--------+-----------------+-----------------------+----------------
x..3o.. ...    | 3  0 0 | 3  0  0  0  0 0 | 4  *  * * * *  *  * * | 1 1 0 0 0 0 0 0
xx. ... ...&#x | 2  2 0 | 1  2  1  0  0 0 | * 12  * * * *  *  * * | 0 1 1 0 0 0 0 0
... ... ox.&#x | 1  2 0 | 0  2  0  1  0 0 | *  * 12 * * *  *  * * | 0 0 1 1 0 0 0 0
.x.3.o. ...    | 0  3 0 | 0  0  3  0  0 0 | *  *  * 4 * *  *  * * | 0 1 0 0 1 0 0 0
.x. ... .x.    | 0  4 0 | 0  0  2  2  0 0 | *  *  * * 6 *  *  * * | 0 0 1 0 0 1 0 0
... .o.3.x.    | 0  3 0 | 0  0  0  3  0 0 | *  *  * * * 4  *  * * | 0 0 0 1 0 0 1 0
.xx ... ...&#x | 0  2 2 | 0  0  1  0  2 1 | *  *  * * * * 12  * * | 0 0 0 0 1 1 0 0
... ... .xo&#x | 0  2 1 | 0  0  0  1  2 0 | *  *  * * * *  * 12 * | 0 0 0 0 0 1 1 0
..x3..o ...    | 0  0 3 | 0  0  0  0  0 3 | *  *  * * * *  *  * 4 | 0 0 0 0 1 0 0 1
---------------+--------+-----------------+-----------------------+----------------
x..3o..3o..     4  0 0 | 6  0  0  0  0 0 | 4  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 | * 4 * * * * * *
xx. ... ox.&#x  2  4 0 | 1  4  2  2  0 0 | 0  2  2 0 1 0  0  0 0 | * * 6 * * * * *
... oo.3ox.&#x  1  3 0 | 0  3  0  3  0 0 | 0  0  3 0 0 1  0  0 0 | * * * 4 * * * *
.xx3.oo ...&#x  0  3 3 | 0  0  3  0  3 3 | 0  0  0 1 0 0  3  0 1 | * * * * 4 * * *
.xx ... .xo&#x  0  4 2 | 0  0  2  2  4 1 | 0  0  0 0 1 0  2  2 0 | * * * * * 6 * *
... .oo3.xo&#x  0  3 1 | 0  0  0  3  3 0 | 0  0  0 0 0 1  0  3 0 | * * * * * * 4 *
..x3..o3..o     0  0 4 | 0  0  0  0  0 6 | 0  0  0 0 0 0  0  0 4 | * * * * * * * 1
or
o..3o..3o..    & | 8  *   3  3  0  0 | 3  6  3 0 0 0 | 1 3  3 1
.o.3.o.3.o.      | * 12 |  0  2  2  2 | 0  4  4 1 2 1 | 0 2  4 2
-----------------+------+-------------+---------------+---------
x.. ... ...    & | 2  0 | 12  *  *  * | 2  2  0 0 0 0 | 1 2  1 0
oo.3oo.3oo.&#x & | 1  1 |  * 24  *  * | 0  2  2 0 0 0 | 0 1  2 1
.x. ... ...      | 0  2 |  *  * 12  * | 0  2  0 1 1 0 | 0 2  2 0
... ... .x.      | 0  2 |  *  *  * 12 | 0  0  2 0 1 1 | 0 0  2 2
-----------------+------+-------------+---------------+---------
x..3o.. ...    & | 3  0 |  3  0  0  0 | 8  *  * * * * | 1 1  0 0
xx. ... ...&#x & | 2  2 |  1  2  1  0 | * 24  * * * * | 0 1  1 0
... ... ox.&#x & | 1  2 |  0  2  0  1 | *  * 24 * * * | 0 0  1 1
.x.3.o. ...      | 0  3 |  0  0  3  0 | *  *  * 4 * * | 0 2  0 0
.x. ... .x.      | 0  4 |  0  0  2  2 | *  *  * * 6 * | 0 0  2 0
... .o.3.x.      | 0  3 |  0  0  0  3 | *  *  * * * 4 | 0 0  0 2
-----------------+------+-------------+---------------+---------
x..3o..3o..    &  4  0 |  6  0  0  0 | 4  0  0 0 0 0 | 2 *  * *
xx.3oo. ...&#x &  3  3 |  3  3  3  0 | 1  3  0 1 0 0 | * 8  * *
xx. ... ox.&#x &  2  4 |  1  4  2  2 | 0  2  2 0 1 0 | * * 12 *
... oo.3ox.&#x &  1  3 |  0  3  0  3 | 0  0  3 0 0 1 | * *  * 8

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