Acronym ..., fix || padohi Name (degenerate) fix atop padohi Circumradius ∞   i.e. flat in euclidean space Confer general polytopal classes: decomposition

It either can be thought of as a degenerate 5D segmentotope with zero height, or as a 4D euclidean decomposition of the larger base into smaller bits.

As abstract polytope fix || padohi is isomorphic to gofix || quipdohi, thereby replacing pentagrams by pentagons, resp. ike by gike, stappy by peppy, stip by pip, and sissid by gad, resp. fix by gofix, sissidpy by gadpy, stappyp by peppyp, ipe by gipe, and padohi by quipdohi.

Incidence matrix according to Dynkin symbol

```ox5/2oo5oo3xx&#x   → height = 0
(fix || padohi)

o.5/2o.5o.3o.    | 120    * |  12   12    0    0 |   30   30   60    0    0    0 |  12   12   60   60   0   0    0   0 | 1   1  12   30  12 0
.o5/2.o5.o3.o    |   * 1440 |   0    1    5    5 |    0    5    5    5   10    5 |   0    5   10    5   1   5    5   1 | 0   1   5    5   1 1
-----------------+----------+--------------------+-------------------------------+-------------------------------------+---------------------
..   .. .. x.    |   2    0 | 720    *    *    * |    5    0    5    0    0    0 |   5    0    5   10   0   0    0   0 | 1   0   1    5   5 0
oo5/2oo5oo3oo&#x |   1    1 |   * 1440    *    * |    0    5    5    0    0    0 |   0    5   10    5   0   0    0   0 | 0   1   5    5   1 0
.x   .. .. ..    |   0    2 |   *    * 3600    * |    0    1    0    2    2    0 |   0    2    2    0   1   2    1   0 | 0   1   2    1   0 1
..   .. .. .x    |   0    2 |   *    *    * 3600 |    0    0    1    0    2    2 |   0    0    2    2   0   1    2   1 | 0   0   1    2   1 1
-----------------+----------+--------------------+-------------------------------+-------------------------------------+---------------------
..   .. o.3x.    |   3    0 |   3    0    0    0 | 1200    *    *    *    *    * |   2    0    0    2   0   0    0   0 | 1   0   0    1   2 0
ox   .. .. ..&#x |   1    2 |   0    2    1    0 |    * 3600    *    *    *    * |   0    2    2    0   0   0    0   0 | 0   1   2    1   0 0
..   .. .. xx&#x |   2    2 |   1    2    0    1 |    *    * 3600    *    *    * |   0    0    2    2   0   0    0   0 | 0   0   1    2   1 0
.x5/2.o .. ..    |   0    5 |   0    0    5    0 |    *    *    * 1440    *    * |   0    1    0    0   1   1    0   0 | 0   1   1    0   0 1
.x   .. .. .x    |   0    4 |   0    0    2    2 |    *    *    *    * 3600    * |   0    0    1    0   0   1    1   0 | 0   0   1    1   0 1
..   .. .o3.x    |   0    3 |   0    0    0    3 |    *    *    *    *    * 2400 |   0    0    0    1   0   0    1   1 | 0   0   0    1   1 1
-----------------+----------+--------------------+-------------------------------+-------------------------------------+---------------------
..   o.5o.3x.    ♦  12    0 |  30    0    0    0 |   20    0    0    0    0    0 | 120    *    *    *   *   *    *   * | 1   0   0    0   1 0
ox5/2oo .. ..&#x ♦   1    5 |   0    5    5    0 |    0    5    0    1    0    0 |   * 1440    *    *   *   *    *   * | 0   1   1    0   0 0
ox   .. .. xx&#x ♦   2    4 |   1    4    2    2 |    0    2    2    0    1    0 |   *    * 3600    *   *   *    *   * | 0   0   1    1   0 0
..   .. oo3xx&#x ♦   3    3 |   3    3    0    3 |    1    0    3    0    0    1 |   *    *    * 2400   *   *    *   * | 0   0   0    1   1 0
.x5/2.o5.o ..    ♦   0   12 |   0    0   30    0 |    0    0    0   12    0    0 |   *    *    *    * 120   *    *   * | 0   1   0    0   0 1
.x5/2.o .. .x    ♦   0   10 |   0    0   10    5 |    0    0    0    2    5    0 |   *    *    *    *   * 720    *   * | 0   0   1    0   0 1
.x   .. .o3.x    ♦   0    6 |   0    0    3    6 |    0    0    0    0    3    2 |   *    *    *    *   *   * 1200   * | 0   0   0    1   0 1
..   .o5.o3.x    ♦   0   12 |   0    0    0   30 |    0    0    0    0    0   20 |   *    *    *    *   *   *    * 120 | 0   0   0    0   1 1
-----------------+----------+--------------------+-------------------------------+-------------------------------------+---------------------
o.5/2o.5o.3x.    ♦ 120    0 | 720    0    0    0 | 1200    0    0    0    0    0 | 120    0    0    0   0   0    0   0 | 1   *   *    *   * *
ox5/2oo5oo ..&#x ♦   1   12 |   0   12   30    0 |    0   30    0   12    0    0 |   0   12    0    0   1   0    0   0 | * 120   *    *   * *
ox5/2oo .. xx&#x ♦   2   10 |   1   10   10    5 |    0   10    5    2    5    0 |   0    2    5    0   0   1    0   0 | *   * 720    *   * *
ox   .. oo3xx&#x ♦   3    6 |   3    6    3    6 |    1    3    6    0    3    2 |   0    0    3    2   0   0    1   0 | *   *   * 1200   * *
..   oo5oo3xx&#x ♦  12   12 |  30   12    0   30 |   20    0   30    0    0   20 |   1    0    0   20   0   0    0   1 | *   *   *    * 120 *
.x5/2.o5.o3.x    ♦   0 1440 |   0    0 3600 3600 |    0    0    0 1440 3600 2400 |   0    0    0    0 120 720 1200 120 | *   *   *    *   * 1
```

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