x o o           
                      
                      
o x x            x x x

This polyteron could be derived from traltisdip when the top triangle gets mono-diminished into a single side, while the bottom tisdip only gets rasped. Thus chopping off a squippyippy.

Incidence matrix according to Dynkin symbol

oxx oxx xxo&#x   → height(1,2) = 1/sqrt(2) = 0.707107
                   height(1,3) = 1/2
                   height(2,3) = sqrt(3)/2 = 0.866025

o.. o.. o..    | 2 * * | 1 4 4 0 0 0 0 0 0 | 2 2 4 2 2 4 4 0 0 0 0 0 0 0 | 1 2 2 1 2 2 2 2 4 0 0 0 0 | 1 1 1 2 2 0
.o. .o. .o.    | * 8 * | 0 1 0 1 1 1 1 0 0 | 1 1 1 0 0 0 1 1 1 1 1 1 1 0 | 1 1 1 0 0 0 1 1 1 1 1 1 1 | 1 0 1 1 1 1
..o ..o ..o    | * * 4 | 0 0 2 0 0 0 2 1 1 | 0 0 0 2 2 1 2 0 0 0 2 2 1 1 | 0 0 0 2 1 1 2 2 1 0 2 1 1 | 0 1 2 1 1 1
---------------+-------+-------------------+-----------------------------+---------------------------+------------
... ... x..    | 2 0 0 | 1 * * * * * * * * | 0 0 4 0 0 4 0 0 0 0 0 0 0 0 | 0 2 2 0 2 2 0 0 4 0 0 0 0 | 1 1 0 2 2 0
oo. oo. oo.&#x | 1 1 0 | * 8 * * * * * * * | 1 1 1 0 0 0 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 0 0 0 | 1 0 1 1 1 0
o.o o.o o.o&#x | 1 0 1 | * * 8 * * * * * * | 0 0 0 1 1 1 1 0 0 0 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0
.x. ... ...    | 0 2 0 | * * * 4 * * * * * | 1 0 0 0 0 0 0 1 1 0 1 0 0 0 | 1 1 0 0 0 0 1 0 0 1 1 1 0 | 1 0 1 1 0 1
... .x. ...    | 0 2 0 | * * * * 4 * * * * | 0 1 0 0 0 0 0 1 0 1 0 1 0 0 | 1 0 1 0 0 0 0 1 0 1 1 0 1 | 1 0 1 0 1 1
... ... .x.    | 0 2 0 | * * * * * 4 * * * | 0 0 1 0 0 0 0 0 1 1 0 0 1 0 | 0 1 1 0 0 0 0 0 1 1 0 1 1 | 1 0 0 1 1 1
.oo .oo .oo&#x | 0 1 1 | * * * * * * 8 * * | 0 0 0 0 0 0 1 0 0 0 1 1 1 0 | 0 0 0 0 0 0 1 1 1 0 1 1 1 | 0 0 1 1 1 1
..x ... ...    | 0 0 2 | * * * * * * * 2 * | 0 0 0 2 0 0 0 0 0 0 2 0 0 1 | 0 0 0 2 1 0 1 0 0 0 2 1 0 | 0 1 2 1 0 1
... ..x ...    | 0 0 2 | * * * * * * * * 2 | 0 0 0 0 2 0 0 0 0 0 0 2 0 1 | 0 0 0 2 0 1 0 2 0 0 2 0 1 | 0 1 2 0 1 1
---------------+-------+-------------------+-----------------------------+---------------------------+------------
ox. ... ...&#x | 1 2 0 | 0 2 0 1 0 0 0 0 0 | 4 * * * * * * * * * * * * * | 1 1 0 0 0 0 1 0 0 0 0 0 0 | 1 0 1 1 0 0
... ox. ...&#x | 1 2 0 | 0 2 0 0 1 0 0 0 0 | * 4 * * * * * * * * * * * * | 1 0 1 0 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
... ... xx.&#x | 2 2 0 | 1 2 0 0 0 1 0 0 0 | * * 4 * * * * * * * * * * * | 0 1 1 0 0 0 0 0 1 0 0 0 0 | 1 0 0 1 1 0
o.x ... ...&#x | 1 0 2 | 0 0 2 0 0 0 0 1 0 | * * * 4 * * * * * * * * * * | 0 0 0 1 1 0 1 0 0 0 0 0 0 | 0 1 1 1 0 0
... o.x ...&#x | 1 0 2 | 0 0 2 0 0 0 0 0 1 | * * * * 4 * * * * * * * * * | 0 0 0 1 0 1 0 1 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 0 | * * * * * 4 * * * * * * * * | 0 0 0 0 1 1 0 0 1 0 0 0 0 | 0 1 0 1 1 0
ooo ooo ooo&#x | 1 1 1 | 0 1 1 0 0 0 1 0 0 | * * * * * * 8 * * * * * * * | 0 0 0 0 0 0 1 1 1 0 0 0 0 | 0 0 1 1 1 0
.x. .x. ...    | 0 4 0 | 0 0 0 2 2 0 0 0 0 | * * * * * * * 2 * * * * * * | 1 0 0 0 0 0 0 0 0 1 1 0 0 | 1 0 1 0 0 1
.x. ... .x.    | 0 4 0 | 0 0 0 2 0 2 0 0 0 | * * * * * * * * 2 * * * * * | 0 1 0 0 0 0 0 0 0 1 0 1 0 | 1 0 0 1 0 1
... .x. .x.    | 0 4 0 | 0 0 0 0 2 2 0 0 0 | * * * * * * * * * 2 * * * * | 0 0 1 0 0 0 0 0 0 1 0 0 1 | 1 0 0 0 1 1
.xx ... ...&#x | 0 2 2 | 0 0 0 1 0 0 2 1 0 | * * * * * * * * * * 4 * * * | 0 0 0 0 0 0 1 0 0 0 1 1 0 | 0 0 1 1 0 1
... .xx ...&#x | 0 2 2 | 0 0 0 0 1 0 2 0 1 | * * * * * * * * * * * 4 * * | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
... ... .xo&#x | 0 2 1 | 0 0 0 0 0 1 2 0 0 | * * * * * * * * * * * * 4 * | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
..x ..x ...    | 0 0 4 | 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * 1 | 0 0 0 2 0 0 0 0 0 0 2 0 0 | 0 1 2 0 0 1
---------------+-------+-------------------+-----------------------------+---------------------------+------------
ox. ox. ...&#x ♦ 1 4 0 | 0 4 0 2 2 0 0 0 0 | 2 2 0 0 0 0 0 1 0 0 0 0 0 0 | 2 * * * * * * * * * * * * | 1 0 1 0 0 0
ox. ... xx.&#x ♦ 2 4 0 | 1 4 0 2 0 2 0 0 0 | 2 0 2 0 0 0 0 0 1 0 0 0 0 0 | * 2 * * * * * * * * * * * | 1 0 0 1 0 0
... ox. xx.&#x ♦ 2 4 0 | 1 4 0 0 2 2 0 0 0 | 0 2 2 0 0 0 0 0 0 1 0 0 0 0 | * * 2 * * * * * * * * * * | 1 0 0 0 1 0
o.x o.x ...&#x ♦ 1 0 4 | 0 0 4 0 0 0 0 2 2 | 0 0 0 2 2 0 0 0 0 0 0 0 0 1 | * * * 2 * * * * * * * * * | 0 1 1 0 0 0
o.x ... x.o&#x ♦ 2 0 2 | 1 0 4 0 0 0 0 1 0 | 0 0 0 2 0 2 0 0 0 0 0 0 0 0 | * * * * 2 * * * * * * * * | 0 1 0 1 0 0
... o.x x.o&#x ♦ 2 0 2 | 1 0 4 0 0 0 0 0 1 | 0 0 0 0 2 2 0 0 0 0 0 0 0 0 | * * * * * 2 * * * * * * * | 0 1 0 0 1 0
oxx ... ...&#x ♦ 1 2 2 | 0 2 2 1 0 0 2 1 0 | 1 0 0 1 0 0 2 0 0 0 1 0 0 0 | * * * * * * 4 * * * * * * | 0 0 1 1 0 0
... oxx ...&#x ♦ 1 2 2 | 0 2 2 0 1 0 2 0 1 | 0 1 0 0 1 0 2 0 0 0 0 1 0 0 | * * * * * * * 4 * * * * * | 0 0 1 0 1 0
... ... xxo&#x ♦ 2 2 1 | 1 2 2 0 0 1 2 0 0 | 0 0 1 0 0 1 2 0 0 0 0 0 1 0 | * * * * * * * * 4 * * * * | 0 0 0 1 1 0
.x. .x. .x.    ♦ 0 8 0 | 0 0 0 4 4 4 0 0 0 | 0 0 0 0 0 0 0 2 2 2 0 0 0 0 | * * * * * * * * * 1 * * * | 1 0 0 0 0 1
.xx .xx ...&#x ♦ 0 4 4 | 0 0 0 2 2 0 4 2 2 | 0 0 0 0 0 0 0 1 0 0 2 2 0 1 | * * * * * * * * * * 2 * * | 0 0 1 0 0 1
.xx ... .xo&#x ♦ 0 4 2 | 0 0 0 2 0 2 4 1 0 | 0 0 0 0 0 0 0 0 1 0 2 0 2 0 | * * * * * * * * * * * 2 * | 0 0 0 1 0 1
... .xx .xo&#x ♦ 0 4 2 | 0 0 0 0 2 2 4 0 1 | 0 0 0 0 0 0 0 0 0 1 0 2 2 0 | * * * * * * * * * * * * 2 | 0 0 0 0 1 1
---------------+-------+-------------------+-----------------------------+---------------------------+------------
ox. ox. xx.&#x ♦ 2 8 0 | 1 8 0 4 4 4 0 0 0 | 4 4 4 0 0 0 0 2 2 2 0 0 0 0 | 2 2 2 0 0 0 0 0 0 1 0 0 0 | 1 * * * * *
o.x o.x x.o&#x ♦ 2 0 4 | 1 0 8 0 0 0 0 2 2 | 0 0 0 4 4 4 0 0 0 0 0 0 0 1 | 0 0 0 2 2 2 0 0 0 0 0 0 0 | * 1 * * * *
oxx oxx ...&#x ♦ 1 4 4 | 0 4 4 2 2 0 4 2 2 | 2 2 0 2 2 0 4 1 0 0 2 2 0 1 | 1 0 0 1 0 0 2 2 0 0 1 0 0 | * * 2 * * *
oxx ... xxo&#x ♦ 2 4 2 | 1 4 4 2 0 2 4 1 0 | 2 0 2 2 0 2 4 0 1 0 2 0 2 0 | 0 1 0 0 1 0 2 0 2 0 0 1 0 | * * * 2 * *
... oxx xxo&#x ♦ 2 4 2 | 1 4 4 0 2 2 4 0 1 | 0 2 2 0 2 2 4 0 0 1 0 2 2 0 | 0 0 1 0 0 1 0 2 2 0 0 0 1 | * * * * 2 *
.xx .xx .xo&#x ♦ 0 8 4 | 0 0 0 4 4 4 8 2 2 | 0 0 0 0 0 0 0 2 2 2 4 4 4 1 | 0 0 0 0 0 0 0 0 0 1 2 2 2 | * * * * * 1