o3x3o x3o3x
           
           
           
   x3x3o   

This polyteron occurs as a wedge of nit. In fact, it is a further bidiminishing of icarit.

Incidence matrix according to Dynkin symbol

oox3xxo3oxx&#x   → height(1,2) = height(2,3) = sqrt(5/8) = 0.790569
                   height(1,3) = 1/sqrt(2) = 0.707107

o..3o..3o..    | 6  *  * |  4  2  4  0 0  0  0  0 | 2 2  4 1  4  2  4  2 0 0  0  0  0 0 0 0 | 1 2 2  2  4  2 2 1 2 0 0 0 0 0 | 1 2 1 2 1 0
.o.3.o.3.o.    | * 12  * |  0  1  0  2 1  2  0  0 | 0 0  2 1  2  0  0  0 1 2  1  2  2 0 0 0 | 0 1 2  1  2  2 0 0 0 1 1 1 2 0 | 1 1 1 2 0 1
..o3..o3..o    | *  * 12 |  0  0  2  0 0  2  2  2 | 0 0  0 0  2  2  1  2 0 0  2  1  2 1 2 1 | 0 0 0  2  1  2 1 2 1 0 1 2 1 1 | 0 1 2 1 1 1
---------------+---------+------------------------+-----------------------------------------+--------------------------------+------------
... x.. ...    | 2  0  0 | 12  *  *  * *  *  *  * | 1 1  1 0  0  0  1  0 0 0  0  0  0 0 0 0 | 1 1 1  0  1  0 1 0 1 0 0 0 0 0 | 1 1 0 1 1 0
oo.3oo.3oo.&#x | 1  1  0 |  * 12  *  * *  *  *  * | 0 0  2 1  2  0  0  0 0 0  0  0  0 0 0 0 | 0 1 2  1  2  2 0 0 0 0 0 0 0 0 | 1 1 1 2 0 0
o.o3o.o3o.o&#x | 1  0  1 |  *  * 24  * *  *  *  * | 0 0  0 0  1  1  1  1 0 0  0  0  0 0 0 0 | 0 0 0  1  1  1 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0
... .x. ...    | 0  2  0 |  *  *  * 12 *  *  *  * | 0 0  1 0  0  0  0  0 1 1  0  1  0 0 0 0 | 0 1 1  0  1  0 0 0 0 1 1 0 1 0 | 1 1 0 1 0 1
... ... .x.    | 0  2  0 |  *  *  *  * 6  *  *  * | 0 0  0 1  0  0  0  0 0 2  0  0  2 0 0 0 | 0 0 2  0  0  2 0 0 0 1 0 1 2 0 | 1 0 1 2 0 1
.oo3.oo3.oo&#x | 0  1  1 |  *  *  *  * * 24  *  * | 0 0  0 0  1  0  0  0 0 0  1  1  1 0 0 0 | 0 0 0  1  1  1 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1
..x ... ...    | 0  0  2 |  *  *  *  * *  * 12  * | 0 0  0 0  0  1  0  0 0 0  1  0  0 1 1 0 | 0 0 0  1  0  0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1
... ... ..x    | 0  0  2 |  *  *  *  * *  *  * 12 | 0 0  0 0  0  0  0  1 0 0  0  0  1 0 1 1 | 0 0 0  0  0  1 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1
---------------+---------+------------------------+-----------------------------------------+--------------------------------+------------
o..3x.. ...    | 3  0  0 |  3  0  0  0 0  0  0  0 | 4 *  * *  *  *  *  * * *  *  *  * * * * | 1 1 0  0  0  0 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0
... x..3o..    | 3  0  0 |  3  0  0  0 0  0  0  0 | * 4  * *  *  *  *  * * *  *  *  * * * * | 1 0 1  0  0  0 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0
... xx. ...&#x | 2  2  0 |  1  2  0  1 0  0  0  0 | * * 12 *  *  *  *  * * *  *  *  * * * * | 0 1 1  0  1  0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
... ... ox.&#x | 1  2  0 |  0  2  0  0 1  0  0  0 | * *  * 6  *  *  *  * * *  *  *  * * * * | 0 0 2  0  0  2 0 0 0 0 0 0 0 0 | 1 0 1 2 0 0
ooo3ooo3ooo&#x | 1  1  1 |  0  1  1  0 0  1  0  0 | * *  * * 24  *  *  * * *  *  *  * * * * | 0 0 0  1  1  1 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
o.x ... ...&#x | 1  0  2 |  0  0  2  0 0  0  1  0 | * *  * *  * 12  *  * * *  *  *  * * * * | 0 0 0  1  0  0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0
... x.o ...&#x | 2  0  1 |  1  0  2  0 0  0  0  0 | * *  * *  *  * 12  * * *  *  *  * * * * | 0 0 0  0  1  0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0
... ... o.x&#x | 1  0  2 |  0  0  2  0 0  0  0  1 | * *  * *  *  *  * 12 * *  *  *  * * * * | 0 0 0  0  0  1 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.o.3.x. ...    | 0  3  0 |  0  0  0  3 0  0  0  0 | * *  * *  *  *  *  * 4 *  *  *  * * * * | 0 1 0  0  0  0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1
... .x.3.x.    | 0  6  0 |  0  0  0  3 3  0  0  0 | * *  * *  *  *  *  * * 4  *  *  * * * * | 0 0 1  0  0  0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1
.ox ... ...&#x | 0  1  2 |  0  0  0  0 0  2  1  0 | * *  * *  *  *  *  * * * 12  *  * * * * | 0 0 0  1  0  0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
... .xo ...&#x | 0  2  1 |  0  0  0  1 0  2  0  0 | * *  * *  *  *  *  * * *  * 12  * * * * | 0 0 0  0  1  0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
... ... .xx&#x | 0  2  2 |  0  0  0  0 1  2  0  1 | * *  * *  *  *  *  * * *  *  * 12 * * * | 0 0 0  0  0  1 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
..x3..o ...    | 0  0  3 |  0  0  0  0 0  0  3  0 | * *  * *  *  *  *  * * *  *  *  * 4 * * | 0 0 0  0  0  0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
..x ... ..x    | 0  0  4 |  0  0  0  0 0  0  2  2 | * *  * *  *  *  *  * * *  *  *  * * 6 * | 0 0 0  0  0  0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
... ..o3..x    | 0  0  3 |  0  0  0  0 0  0  0  3 | * *  * *  *  *  *  * * *  *  *  * * * 4 | 0 0 0  0  0  0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
---------------+---------+------------------------+-----------------------------------------+--------------------------------+------------
o..3x..3o..    ♦ 6  0  0 | 12  0  0  0 0  0  0  0 | 4 4  0 0  0  0  0  0 0 0  0  0  0 0 0 0 | 1 * *  *  *  * * * * * * * * * | 1 0 0 0 1 0
oo.3xx. ...&#x ♦ 3  3  0 |  3  3  0  3 0  0  0  0 | 1 0  3 0  0  0  0  0 1 0  0  0  0 0 0 0 | * 4 *  *  *  * * * * * * * * * | 1 1 0 0 0 0
... xx.3ox.&#x ♦ 3  6  0 |  3  6  0  3 3  0  0  0 | 0 1  3 3  0  0  0  0 0 1  0  0  0 0 0 0 | * * 4  *  *  * * * * * * * * * | 1 0 0 1 0 0
oox ... ...&#x ♦ 1  1  2 |  0  1  2  0 0  2  1  0 | 0 0  0 0  2  1  0  0 0 0  1  0  0 0 0 0 | * * * 12  *  * * * * * * * * * | 0 1 1 0 0 0
... xxo ...&#x ♦ 2  2  1 |  1  2  2  1 0  2  0  0 | 0 0  1 0  2  0  1  0 0 0  0  1  0 0 0 0 | * * *  * 12  * * * * * * * * * | 0 1 0 1 0 0
... ... oxx&#x ♦ 1  2  2 |  0  2  2  0 1  2  0  1 | 0 0  0 1  2  0  0  1 0 0  0  0  1 0 0 0 | * * *  *  * 12 * * * * * * * * | 0 0 1 1 0 0
o.x3x.o ...&#x ♦ 3  0  3 |  3  0  6  0 0  0  3  0 | 1 0  0 0  0  3  3  0 0 0  0  0  0 1 0 0 | * * *  *  *  * 4 * * * * * * * | 0 1 0 0 1 0
o.x ... o.x&#x ♦ 1  0  4 |  0  0  4  0 0  0  2  2 | 0 0  0 0  0  2  0  2 0 0  0  0  0 0 1 0 | * * *  *  *  * * 6 * * * * * * | 0 0 1 0 1 0
... x.o3o.x&#x ♦ 3  0  3 |  3  0  6  0 0  0  0  3 | 0 1  0 0  0  0  3  3 0 0  0  0  0 0 0 1 | * * *  *  *  * * * 4 * * * * * | 0 0 0 1 1 0
.o.3.x.3.x.    ♦ 0 12  0 |  0  0  0 12 6  0  0  0 | 0 0  0 0  0  0  0  0 4 4  0  0  0 0 0 0 | * * *  *  *  * * * * 1 * * * * | 1 0 0 0 0 1
.ox3.xo ...&#x ♦ 0  3  3 |  0  0  0  3 0  6  3  0 | 0 0  0 0  0  0  0  0 1 0  3  3  0 1 0 0 | * * *  *  *  * * * * * 4 * * * | 0 1 0 0 0 1
.ox ... .xx&#x ♦ 0  2  4 |  0  0  0  0 1  4  2  2 | 0 0  0 0  0  0  0  0 0 0  2  0  2 0 1 0 | * * *  *  *  * * * * * * 6 * * | 0 0 1 0 0 1
... .xo3.xx&#x ♦ 0  6  3 |  0  0  0  3 3  6  0  3 | 0 0  0 0  0  0  0  0 0 1  0  3  3 0 0 1 | * * *  *  *  * * * * * * * 4 * | 0 0 0 1 0 1
..x3..o3..x    ♦ 0  0 12 |  0  0  0  0 0  0 12 12 | 0 0  0 0  0  0  0  0 0 0  0  0  0 4 6 4 | * * *  *  *  * * * * * * * * 1 | 0 0 0 0 1 1
---------------+---------+------------------------+-----------------------------------------+--------------------------------+------------
oo.3xx.3ox.&#x ♦ 6 12  0 | 12 12  0 12 6  0  0  0 | 4 4 12 6  0  0  0  0 4 4  0  0  0 0 0 0 | 1 4 4  0  0  0 0 0 0 1 0 0 0 0 | 1 * * * * *
oox3xxo ...&#x ♦ 3  3  3 |  3  3  6  3 0  6  3  0 | 1 0  3 0  6  3  3  0 1 0  3  3  0 1 0 0 | 0 1 0  3  3  0 1 0 0 0 1 0 0 0 | * 4 * * * *
oox ... oxx&#x ♦ 1  2  4 |  0  2  4  0 1  4  2  2 | 0 0  0 1  4  2  0  2 0 0  2  0  2 0 1 0 | 0 0 0  2  0  2 0 1 0 0 0 1 0 0 | * * 6 * * *
... xxo3oxx&#x ♦ 3  6  3 |  3  6  6  3 3  6  0  3 | 0 1  3 3  6  0  3  3 0 1  0  3  3 0 0 1 | 0 0 1  0  3  3 0 0 1 0 0 0 1 0 | * * * 4 * *
o.x3x.o3o.x&#x ♦ 6  0 12 | 12  0 24  0 0  0 12 12 | 4 4  0 0  0 12 12 12 0 0  0  0  0 4 6 4 | 1 0 0  0  0  0 4 6 4 0 0 0 0 1 | * * * * 1 *
.ox3.xo3.xx&#x ♦ 0 12 12 |  0  0  0 12 6 24 12 12 | 0 0  0 0  0  0  0  0 4 4 12 12 12 4 6 4 | 0 0 0  0  0  0 0 0 0 1 4 6 4 1 | * * * * * 1