x4x     x4x
           
    o4w    
           
x4x     x4x

o4o x4o x4o o4o
               
x4o         x4o
               
x4o         x4o
               
o4o x4o x4o o4o

This CRF polychoron can be obtained by augmenting a cycle of 4 cubes of sodip with cubpies. Note, that pairs of squippies together with the extra cubes inbetween become corealmic, reconnecting to esquidpies.

Incidence matrix according to Dynkin symbol

ox4wx ox4oo&#zx   → all heights = 0
(tegum sum of w-{4} and sodip)

o.4o. o.4o.     | 4  * ♦  8  0  0  0 |  4  8 0  0  0 |  4 2 0  (tips)
.o4.o .o4.o     | * 32 |  1  1  1  2 |  1  2 1  2  2 |  2 1 2  (base sodip)
----------------+------+-------------+---------------+-------
oo4oo oo4oo&#x  | 1  1 | 32  *  *  * |  1  2 0  0  0 |  2 1 0
.x .. .. ..     | 0  2 |  * 16  *  * |  1  0 1  2  0 |  2 0 2
.. .x .. ..     | 0  2 |  *  * 16  * |  0  0 1  0  2 |  0 1 2
.. .. .x ..     | 0  2 |  *  *  * 32 |  0  1 0  1  1 |  1 1 1
----------------+------+-------------+---------------+-------
ox .. .. ..&#x  | 1  2 |  2  1  0  0 | 16  * *  *  * |  2 0 0
.. .. ox ..&#x  | 1  2 |  2  0  0  1 |  * 32 *  *  * |  1 1 0
.x4.x .. ..     | 0  8 |  0  4  4  0 |  *  * 4  *  * |  0 0 2
.x .. .x ..     | 0  4 |  0  2  0  2 |  *  * * 16  * |  1 0 1
.. .x .x ..     | 0  4 |  0  0  2  2 |  *  * *  * 16 |  0 1 1
----------------+------+-------------+---------------+-------
ox .. ox ..&#x  ♦ 1  4 |  4  2  0  2 |  2  2 0  1  0 | 16 * *
.. wx ox4oo&#zx ♦ 2  8 |  8  0  4  8 |  0  8 0  0  4 |  * 4 *
.x4.x .x ..     ♦ 0 16 |  0  8  8  8 |  0  0 2  4  4 |  * * 4

xox xox4xwx&#xt   → both heights = 1/2
(op || pseudo w-{4} || op)

o.. o..4o..     | 16 *  * | 1 1 1  1  1  0 0 0 0 | 1 1 1 1 1 1 1  1 0 0 0 0 0 | 1 1 1 1 1 0 0
.o. .o.4.o.     |  * 4  * ♦ 0 0 0  4  0  4 0 0 0 | 0 0 0 2 2 0 0  4 2 2 0 0 0 | 0 1 0 2 2 1 0
..o ..o4..o     |  * * 16 | 0 0 0  0  1  1 1 1 1 | 0 0 0 0 0 1 1  1 1 1 1 1 1 | 0 0 1 1 1 1 1
----------------+---------+----------------------+----------------------------+--------------
x.. ... ...     |  2 0  0 | 8 * *  *  *  * * * * | 1 1 0 1 0 0 0  0 0 0 0 0 0 | 1 1 0 1 0 0 0
... x.. ...     |  2 0  0 | * 8 *  *  *  * * * * | 1 0 1 0 1 1 0  0 0 0 0 0 0 | 1 1 1 0 1 0 0
... ... x..     |  2 0  0 | * * 8  *  *  * * * * | 0 1 1 0 0 0 1  0 0 0 0 0 0 | 1 0 1 1 0 0 0
oo. oo.4oo.&#x  |  1 1  0 | * * * 16  *  * * * * | 0 0 0 1 1 0 0  1 0 0 0 0 0 | 0 1 0 1 1 0 0
o.o o.o4o.o&#x  |  1 0  1 | * * *  * 16  * * * * | 0 0 0 0 0 1 1  1 0 0 0 0 0 | 0 0 1 1 1 0 0
.oo .oo4.oo&#x  |  0 1  1 | * * *  *  * 16 * * * | 0 0 0 0 0 0 0  1 1 1 0 0 0 | 0 0 0 1 1 1 0
..x ... ...     |  0 0  2 | * * *  *  *  * 8 * * | 0 0 0 0 0 0 0  0 1 0 1 1 0 | 0 0 0 1 0 1 1
... ..x ...     |  0 0  2 | * * *  *  *  * * 8 * | 0 0 0 0 0 1 0  0 0 1 1 0 1 | 0 0 1 0 1 1 1
... ... ..x     |  0 0  2 | * * *  *  *  * * * 8 | 0 0 0 0 0 0 1  0 0 0 0 1 1 | 0 0 1 1 0 0 1
----------------+---------+----------------------+----------------------------+--------------
x.. x.. ...     |  4 0  0 | 2 2 0  0  0  0 0 0 0 | 4 * * * * * *  * * * * * * | 1 1 0 0 0 0 0
x.. ... x..     |  4 0  0 | 2 0 2  0  0  0 0 0 0 | * 4 * * * * *  * * * * * * | 1 0 0 1 0 0 0
... x..4x..     |  8 0  0 | 0 4 4  0  0  0 0 0 0 | * * 2 * * * *  * * * * * * | 1 0 1 0 0 0 0
xo. ... ...&#x  |  2 1  0 | 1 0 0  2  0  0 0 0 0 | * * * 8 * * *  * * * * * * | 0 1 0 1 0 0 0
... xo. ...&#x  |  2 1  0 | 0 1 0  2  0  0 0 0 0 | * * * * 8 * *  * * * * * * | 0 1 0 0 1 0 0
... x.x ...&#x  |  2 0  2 | 0 1 0  0  2  0 0 1 0 | * * * * * 8 *  * * * * * * | 0 0 1 0 1 0 0
... ... x.x&#x  |  2 0  2 | 0 0 1  0  2  0 0 0 1 | * * * * * * 8  * * * * * * | 0 0 1 1 0 0 0
ooo ooo4ooo&#x  |  1 1  1 | 0 0 0  1  1  1 0 0 0 | * * * * * * * 16 * * * * * | 0 0 0 1 1 0 0
.ox ... ...&#x  |  0 1  2 | 0 0 0  0  0  2 1 0 0 | * * * * * * *  * 8 * * * * | 0 0 0 1 0 1 0
... .ox ...&#x  |  0 1  2 | 0 0 0  0  0  2 0 1 0 | * * * * * * *  * * 8 * * * | 0 0 0 0 1 1 0
..x ..x ...     |  0 0  4 | 0 0 0  0  0  0 2 2 0 | * * * * * * *  * * * 4 * * | 0 0 0 0 0 1 1
..x ... ..x     |  0 0  4 | 0 0 0  0  0  0 2 0 2 | * * * * * * *  * * * * 4 * | 0 0 0 1 0 0 1
... ..x4..x     |  0 0  8 | 0 0 0  0  0  0 0 4 4 | * * * * * * *  * * * * * 2 | 0 0 1 0 0 0 1
----------------+---------+----------------------+----------------------------+--------------
x.. x..4x..     ♦ 16 0  0 | 8 8 8  0  0  0 0 0 0 | 4 4 2 0 0 0 0  0 0 0 0 0 0 | 1 * * * * * *
xo. xo. ...&#x  ♦  4 1  0 | 2 2 0  4  0  0 0 0 0 | 1 0 0 2 2 0 0  0 0 0 0 0 0 | * 4 * * * * *
... x.x4x.x&#x  ♦  8 0  8 | 0 4 4  0  8  0 0 4 4 | 0 0 1 0 0 4 4  0 0 0 0 0 1 | * * 2 * * * *
xox ... xwx&#xt ♦  4 2  4 | 2 0 2  4  4  4 2 0 2 | 0 1 0 2 0 0 2  4 2 0 0 1 0 | * * * 4 * * *
... xox ...&#x  ♦  2 1  2 | 0 1 0  2  2  2 0 1 0 | 0 0 0 0 1 1 0  2 0 1 0 0 0 | * * * * 8 * *
.ox .ox ...&#x  ♦  0 1  4 | 0 0 0  0  0  4 2 2 0 | 0 0 0 0 0 0 0  0 2 2 1 0 0 | * * * * * 4 *
..x ..x4..x     ♦  0 0 16 | 0 0 0  0  0  0 8 8 8 | 0 0 0 0 0 0 0  0 0 0 4 4 2 | * * * * * * 1