Truncation would result in 3 different edge sizes in the outcome polyteron. 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 rescad, while y → ∞ results again in the pre-image scad (rescaled back down accordingly).

Incidence matrix according to Dynkin symbol

by3ox3oo3xo3yb&#zq   → height = 0
                       y > 0 (arbitrary expansion size)
                       b = y+2 (pseudo)

o.3o.3o.3o.3o.     | 120   * |   3  1   3  0   0 |   3  3  3   3   6  0   0 |  1  3  3  6   1   3   3  0  0 | 1  1  3  3  1 0
.o3.o3.o3.o3.o     |   * 120 |   0  0   3  1   3 |   0  0  3   6   3  3   3 |  0  0  6  3   3   3   1  3  1 | 0  3  3  1  1 1
-------------------+---------+-------------------+--------------------------+-------------------------------+----------------
.. .. .. x. ..     |   2   0 | 180  *   *  *   * |   2  1  0   0   2  0   0 |  1  2  0  2   0   1   2  0  0 | 1  0  1  2  1 0
.. .. .. .. y.     |   2   0 |   * 60   *  *   * |   0  3  3   0   0  0   0 |  0  3  3  6   0   0   0  0  0 | 1  1  3  3  0 0
oo3oo3oo3oo3oo&#q  |   1   1 |   *  * 360  *   * |   0  0  1   2   2  0   0 |  0  0  2  2   1   2   1  0  0 | 0  1  2  1  1 0
.y .. .. .. ..     |   0   2 |   *  *   * 60   * |   0  0  3   0   0  3   0 |  0  0  6  3   0   0   0  3  0 | 0  3  3  1  0 1
.. .x .. .. ..     |   0   2 |   *  *   *  * 180 |   0  0  0   2   0  1   2 |  0  0  2  0   2   1   0  2  1 | 0  2  1  0  1 1
-------------------+---------+-------------------+--------------------------+-------------------------------+----------------
.. .. o.3x. ..     |   3   0 |   3  0   0  0   0 | 120  *  *   *   *  *   * |  1  1  0  0   0   0   1  0  0 | 1  0  0  1  1 0
.. .. .. x.3y.     |   6   0 |   3  3   0  0   0 |   * 60  *   *   *  *   * |  0  2  0  2   0   0   0  0  0 | 1  0  1  2  0 0
by .. .. .. yb&#zq |   4   4 |   0  2   4  2   0 |   *  * 90   *   *  *   * |  0  0  2  2   0   0   0  0  0 | 0  1  2  1  0 0
.. ox .. .. ..&#q  |   1   2 |   0  0   2  0   1 |   *  *  * 360   *  *   * |  0  0  1  0   1   1   0  0  0 | 0  1  1  0  1 0
.. .. .. xo ..&#q  |   2   1 |   1  0   2  0   0 |   *  *  *   * 360  *   * |  0  0  0  1   0   1   1  0  0 | 0  0  1  1  1 0
.y3.x .. .. ..     |   0   6 |   0  0   0  3   3 |   *  *  *   *   * 60   * |  0  0  2  0   0   0   0  2  0 | 0  2  1  0  0 1
.. .x3.o .. ..     |   0   3 |   0  0   0  0   3 |   *  *  *   *   *  * 120 |  0  0  0  0   1   0   0  1  1 | 0  1  0  0  1 1
-------------------+---------+-------------------+--------------------------+-------------------------------+----------------
.. o.3o.3x. ..     |   4   0 |   6  0   0  0   0 |   4  0  0   0   0  0   0 | 30  *  *  *   *   *   *  *  * | 1  0  0  0  1 0  tet
.. .. o.3x.3y.     |  12   0 |  12  6   0  0   0 |   4  4  0   0   0  0   0 |  * 30  *  *   *   *   *  *  * | 1  0  0  1  0 0  (y,x)-tut
by3ox .. .. yb&#zq |   6  12 |   0  3  12  6   6 |   0  0  3   6   0  2   0 |  *  * 60  *   *   *   *  *  * | 0  1  1  0  0 0  titrip
by .. .. xo3yb&#zq |  12   6 |   6  6  12  3   0 |   0  2  3   0   6  0   0 |  *  *  * 60   *   *   *  *  * | 0  0  1  1  0 0  titrip
.. ox3oo .. ..&#q  |   1   3 |   0  0   3  0   3 |   0  0  0   3   0  0   1 |  *  *  *  * 120   *   *  *  * | 0  1  0  0  1 0  3-pyr
.. ox .. xo ..&#q  |   2   2 |   1  0   4  0   1 |   0  0  0   2   2  0   0 |  *  *  *  *   * 180   *  *  * | 0  0  1  0  1 0  2-ap
.. .. oo3xo ..&#q  |   3   1 |   3  0   3  0   0 |   1  0  0   0   3  0   0 |  *  *  *  *   *   * 120  *  * | 0  0  0  1  1 0  3-pyr
.y3.x3.o .. ..     |   0  12 |   0  0   0  6  12 |   0  0  0   0   0  4   4 |  *  *  *  *   *   *   * 30  * | 0  1  0  0  0 1  (y,x)-tut
.. .x3.o3.o ..     |   0   4 |   0  0   0  0   6 |   0  0  0   0   0  0   4 |  *  *  *  *   *   *   *  * 30 | 0  0  0  0  1 1  tet
-------------------+---------+-------------------+--------------------------+-------------------------------+----------------
.. o.3o.3x.3y.     |  20   0 |  30 10   0  0   0 |  20 10  0   0   0  0   0 |  5  5  0  0   0   0   0  0  0 | 6  *  *  *  * *  (y,x)-tip
by3ox3oo .. yb&#zq |   8  24 |   0  4  24 12  24 |   0  0  6  24   0  8   8 |  0  0  4  0   8   0   0  2  0 | * 15  *  *  * *  titepe
by3ox .. xo3yb&#zq |  18  18 |   9  9  36  9   9 |   0  3  9  18  18  3   0 |  0  0  3  3   0   9   0  0  0 | *  * 20  *  * *  tatriddip
by .. oo3xo3yb&#zq |  24   8 |  24 12  24  4   0 |   8  8  6   0  24  0   0 |  0  2  0  4   0   0   8  0  0 | *  *  * 15  * *  titepe
.. ox3oo3xo ..&#q  |   4   4 |   6  0  12  0   6 |   4  0  0  12  12  0   4 |  1  0  0  0   4   6   4  0  1 | *  *  *  * 30 *  scad-verf
.y3.x3.o3.o ..     |   0  20 |   0  0   0 10  30 |   0  0  0   0   0 10  20 |  0  0  0  0   0   0   0  5  5 | *  *  *  *  * 6  (y,x)-tip