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°
Face vector	20, 60, 70, 30
Confer	uniform relative: spid   related segmentochora: tet || co   tet || tricu   tricuf   related CRFs: tracufbil   general polytopal classes: bistratic lace towers
External links

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