Acronym ..., hex || sidpith
Name (degenerate) hex atop sidpith
Circumradius ∞   i.e. flat in euclidean space
Confer
general polytopal classes:
decomposition  

It either can be thought of as a degenerate 5D segmentotope with zero height, or as a 4D euclidean decomposition of the larger base into smaller bits.


Incidence matrix according to Dynkin symbol

xx3oo3oo4ox&#x   → height = 0
(hex || sidpith)

o.3o.3o.4o.    | 8  * |  6  8  0  0 | 12 24 12  0  0  0 |  8 24 24  6  0  0  0 0 | 1  8 12  6 1 0
.o3.o3.o4.o    | * 64 |  0  1  3  3 |  0  3  3  3  6  3 |  0  3  6  3  1  3  3 1 | 0  1  3  3 1 1
---------------+------+-------------+-------------------+------------------------+---------------
x. .. .. ..    | 2  0 | 24  *  *  * |  4  4  0  0  0  0 |  4  8  4  0  0  0  0 0 | 1  4  4  1 0 0
oo3oo3oo4oo&#x | 1  1 |  * 64  *  * |  0  3  3  0  0  0 |  0  3  6  3  0  0  0 0 | 0  1  3  3 1 0
.x .. .. ..    | 0  2 |  *  * 96  * |  0  1  0  2  2  0 |  0  2  2  0  1  2  1 0 | 0  1  2  1 0 1
.. .. .. .x    | 0  2 |  *  *  * 96 |  0  0  1  0  2  2 |  0  0  2  2  0  1  2 1 | 0  0  1  2 1 1
---------------+------+-------------+-------------------+------------------------+---------------
x.3o. .. ..    | 3  0 |  3  0  0  0 | 32  *  *  *  *  * |  2  2  0  0  0  0  0 0 | 1  2  1  0 0 0
xx .. .. ..&#x | 2  2 |  1  2  1  0 |  * 96  *  *  *  * |  0  2  2  0  0  0  0 0 | 0  1  2  1 0 0
.. .. .. ox&#x | 1  2 |  0  2  0  1 |  *  * 96  *  *  * |  0  0  2  2  0  0  0 0 | 0  0  1  2 1 0
.x3.o .. ..    | 0  3 |  0  0  3  0 |  *  *  * 64  *  * |  0  1  0  0  1  1  0 0 | 0  1  1  0 0 1
.x .. .. .x    | 0  4 |  0  0  2  2 |  *  *  *  * 96  * |  0  0  1  0  0  1  1 0 | 0  0  1  1 0 1
.. .. .o4.x    | 0  4 |  0  0  0  4 |  *  *  *  *  * 48 |  0  0  0  1  0  0  1 1 | 0  0  0  1 1 1
---------------+------+-------------+-------------------+------------------------+---------------
x.3o.3o. ..     4  0 |  6  0  0  0 |  4  0  0  0  0  0 | 16  *  *  *  *  *  * * | 1  1  0  0 0 0
xx3oo .. ..&#x  3  3 |  3  3  3  0 |  1  3  0  1  0  0 |  * 64  *  *  *  *  * * | 0  1  1  0 0 0
xx .. .. ox&#x  2  4 |  1  4  2  2 |  0  2  2  0  1  0 |  *  * 96  *  *  *  * * | 0  0  1  1 0 0
.. .. oo4ox&#x  1  4 |  0  4  0  4 |  0  0  4  0  0  1 |  *  *  * 48  *  *  * * | 0  0  0  1 1 0
.x3.o3.o ..     0  4 |  0  0  6  0 |  0  0  0  4  0  0 |  *  *  *  * 16  *  * * | 0  1  0  0 0 1
.x3.o .. .x     0  6 |  0  0  6  3 |  0  0  0  2  3  0 |  *  *  *  *  * 32  * * | 0  0  1  0 0 1
.x .. .o4.x     0  8 |  0  0  4  8 |  0  0  0  0  4  2 |  *  *  *  *  *  * 24 * | 0  0  0  1 0 1
.. .o3.o4.x     0  8 |  0  0  0 12 |  0  0  0  0  0  6 |  *  *  *  *  *  *  * 8 | 0  0  0  0 1 1
---------------+------+-------------+-------------------+------------------------+---------------
x.3o.3o.4o.     8  0 | 24  0  0  0 | 32  0  0  0  0  0 | 16  0  0  0  0  0  0 0 | 1  *  *  * * *
xx3oo3oo ..&#x  4  4 |  6  4  6  0 |  4  6  0  4  0  0 |  1  4  0  0  1  0  0 0 | * 16  *  * * *
xx3oo .. ox&#x  3  6 |  3  6  6  3 |  1  6  3  2  3  0 |  0  2  3  0  0  1  0 0 | *  * 32  * * *
xx .. oo4ox&#x  2  8 |  1  8  4  8 |  0  4  8  0  4  2 |  0  0  4  2  0  0  1 0 | *  *  * 24 * *
.. oo3oo4ox&#x  1  8 |  0  8  0 12 |  0  0 12  0  0  6 |  0  0  0  6  0  0  0 1 | *  *  *  * 8 *
.x3.o3.o4.x     0 64 |  0  0 96 96 |  0  0  0 64 96 48 |  0  0  0  0 16 32 24 8 | *  *  *  * * 1

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