Acronym tatriddip
Name truncated triangular duoprism
Circumradius sqrt[(2y2+5y+5)/3]
Face vector 36, 72, 51, 15
Confer
extremal cases:
triddip   retdip  
External
links
polytopewiki

Truncation would result in 3 different edge sizes in the outcome polychoron. That one here is scaled such so that the shorter specified one becomes unity. Then the larger specified edge will have size q=sqrt(2). The third one would be the arbitrary expansion size y (corresponding to the arbitrary truncation depth). In fact, for y=0 this results again in the retdip, while y → ∞ results again in the pre-image triddip (rescaled back down accordingly).


Incidence matrix according to Dynkin symbol

xo3yb by3ox&#zq   → height = 0
                    y > 0 (arbitrary expansion size)
                    b = y+2 (pseudo)
(q-laced tegum sum of 2 alternate (x,y,b)-thiddips)

o.3o. o.3o.     & | 36 |  1  1  2 | 1  3 2 | 3 1
------------------+----+----------+--------+----
x. .. .. ..     & |  2 | 18  *  * | 1  2 0 | 2 1
.. y. .. ..     & |  2 |  * 18  * | 1  0 2 | 3 0
oo3oo oo3oo&#q    |  2 |  *  * 36 | 0  2 1 | 2 1
------------------+----+----------+--------+----
x.3y. .. ..     & |  6 |  3  3  0 | 6  * * | 2 0
xo .. .. ..&#q  & |  3 |  1  0  2 | * 36 * | 1 1
.. yb by ..&#zq   |  8 |  0  4  4 | *  * 9 | 2 0
------------------+----+----------+--------+----
xo3yb by ..&#zq & | 18 |  6  9 12 | 2  6 3 | 6 *  titrip
xo .. .. ox&#q    |  4 |  2  0  4 | 0  4 0 | * 9  disphenoid

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