pabex thex

Acronym	pabex thex
Name	partially biexpanded truncated hexadecachoron, partially bicontracted prismatorhombated tesseract
Circumradius	...
Lace city in approx. ASCII-art	x4o x4x x4o x4o x4u x4o x4x x4u w4x x4u x4x x4o x4u x4o x4o x4x x4o
Lace city in approx. ASCII-art	o4o o4x o4x o4o o4o o4u o4u o4o o4x o4u q4x q4x o4u o4x o4x o4u q4x q4x o4u o4x o4o o4u o4u o4o o4o o4x o4x o4o
Dihedral angles	at {6} between hip and tut: 150° at {4} between cube and hip: arccos[-sqrt(2/3)] = 144.735610° at {4} between cube and squobcu: 135° at {4} between esquidpy and squobcu: arccos[-1/sqrt(3)] = 125.264390° at {4} between hip and squobcu: arccos[-1/sqrt(3)] = 125.264390° at {3} between esquidpy and tut: 120° at {3} between squobcu and tut: 120° at {6} between tut and tut: 120° at {4} between hip and hip: arccos(-1/3) = 109.471221°
Face vector	104, 260, 200, 44
Confer	uniform relative: thex prit related CRFs: pex thex pacprit general polytopal classes: partial Stott expansions

This CRF polychoron can be obtained from prit by splitting into 3 segments, rejecting the central gircope, recombining the outer parts, and then apply the same operation to that bicupola in an orthogonal direction – thus resulting in a partial Stott contraction (cf. esp. the lace city display of prit).

Conversely it can be obtained by 2 orthogonally applied axial partial Stott expansions based on thex.

Incidence matrix according to Dynkin symbol

xxxw4oxux qooo4xuxo&#zxt

o...4o... o...4o...     | 32  *  * * |  2  1  2  0  0  0  0  0  0 0 | 1  2  2  1  2  0  0  0  0 | 1 1  2  1 0
.o..4.o.. .o..4.o..     |  * 32  * * |  0  0  2  1  1  1  0  0  0 0 | 0  0  2  2  2  1  1  0  0 | 0 1  2  2 0
..o.4..o. ..o.4..o.     |  *  * 32 * |  0  0  0  0  0  1  1  2  1 0 | 0  0  0  0  2  1  1  2  2 | 0 0  2  2 1
...o4...o ...o4...o     |  *  *  * 8 |  0  0  0  0  0  0  0  0  4 1 | 0  0  0  0  0  0  4  0  4 | 0 0  0  4 1
------------------------+------------+------------------------------+---------------------------+------------
x... .... .... ....     |  2  0  0 0 | 32  *  *  *  *  *  *  *  * * | 1  1  1  0  0  0  0  0  0 | 1 1  1  0 0
.... .... .... x...     |  2  0  0 0 |  * 16  *  *  *  *  *  *  * * | 0  2  0  0  2  0  0  0  0 | 1 0  2  1 0
oo..4oo.. oo..4oo..&#x  |  1  1  0 0 |  *  * 64  *  *  *  *  *  * * | 0  0  1  1  1  0  0  0  0 | 0 1  1  1 0
.x.. .... .... ....     |  0  2  0 0 |  *  *  * 16  *  *  *  *  * * | 0  0  2  0  0  1  0  0  0 | 0 1  2  0 0
.... .x.. .... ....     |  0  2  0 0 |  *  *  *  * 16  *  *  *  * * | 0  0  0  2  0  0  1  0  0 | 0 1  0  2 0
.oo.4.oo. .oo.4.oo.&#x  |  0  1  1 0 |  *  *  *  *  * 32  *  *  * * | 0  0  0  0  2  1  1  0  0 | 0 0  2  2 0
..x. .... .... ....     |  0  0  2 0 |  *  *  *  *  *  * 16  *  * * | 0  0  0  0  0  1  0  2  0 | 0 0  2  0 1
.... .... .... ..x.     |  0  0  2 0 |  *  *  *  *  *  *  * 32  * * | 0  0  0  0  1  0  0  1  1 | 0 0  1  1 1
..oo4..oo ..oo4..oo&#x  |  0  0  1 1 |  *  *  *  *  *  *  *  * 32 * | 0  0  0  0  0  0  1  0  2 | 0 0  0  2 1
.... ...x .... ....     |  0  0  0 2 |  *  *  *  *  *  *  *  *  * 4 | 0  0  0  0  0  0  4  0  0 | 0 0  0  4 0
------------------------+------------+------------------------------+---------------------------+------------
x...4o... .... ....     |  4  0  0 0 |  4  0  0  0  0  0  0  0  0 0 | 8  *  *  *  *  *  *  *  * | 1 1  0  0 0
x... .... .... x...     |  4  0  0 0 |  2  2  0  0  0  0  0  0  0 0 | * 16  *  *  *  *  *  *  * | 1 0  1  0 0
xx.. .... .... ....&#x  |  2  2  0 0 |  1  0  2  1  0  0  0  0  0 0 | *  * 32  *  *  *  *  *  * | 0 1  1  0 0
.... ox.. .... ....&#x  |  1  2  0 0 |  0  0  2  0  1  0  0  0  0 0 | *  *  * 32  *  *  *  *  * | 0 1  0  1 0
.... .... .... xux.&#xt |  2  2  2 0 |  0  1  2  0  0  2  0  1  0 0 | *  *  *  * 32  *  *  *  * | 0 0  1  1 0
.xx. .... .... ....&#x  |  0  2  2 0 |  0  0  0  1  0  2  1  0  0 0 | *  *  *  *  * 16  *  *  * | 0 0  2  0 0
.... .xux .... ....&#xt |  0  2  2 2 |  0  0  0  0  1  2  0  0  2 1 | *  *  *  *  *  * 16  *  * | 0 0  0  2 0
.... .... ..o.4..x.     |  0  0  4 0 |  0  0  0  0  0  0  2  2  0 0 | *  *  *  *  *  *  * 16  * | 0 0  1  0 1
.... .... .... ..xo&#x  |  0  0  2 1 |  0  0  0  0  0  0  0  1  2 0 | *  *  *  *  *  *  *  * 32 | 0 0  0  1 1
------------------------+------------+------------------------------+---------------------------+------------
x...4o... .... x...     ♦  8  0  0 0 |  8  4  0  0  0  0  0  0  0 0 | 2  4  0  0  0  0  0  0  0 | 4 *  *  * *
xx..4ox.. qo.. ....&#zx ♦  8  8  0 0 |  8  0 16  4  4  0  0  0  0 0 | 2  0  8  8  0  0  0  0  0 | * 4  *  * *
xxx. .... .... xux.&#xt ♦  4  4  4 0 |  2  2  4  2  0  4  2  2  0 0 | 0  1  2  0  2  2  0  1  0 | * * 16  * *
.... oxux .... xuxo&#xt ♦  2  4  4 2 |  0  1  4  0  2  4  0  2  4 1 | 0  0  0  2  2  0  2  0  2 | * *  * 16 *
..xw .... ..oo4..xo&#zx ♦  0  0  8 2 |  0  0  0  0  0  0  4  8  8 0 | 0  0  0  0  0  0  0  4  8 | * *  *  * 4

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