Acronym gidtixhipy, pt || gidtixhi
Name (degenerate) gidtixhi pyramid
Circumradius ∞   i.e. flat in euclidean space
Face vector 121, 1320, 3600, 3120, 721
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 gidtixhipy is isomorphic to sidtixhipy, thereby replacing ike by gike, resp. ikepy by gikepy and gidtixhi by sidtixhi.


Incidence matrix according to Dynkin symbol

ox3oo3oo3/2oo5*b&#x   → height = 0
(pt || gidtixhi)

o.3o.3o.3/2o.5*b    | 1   *  120    0 | 1200    0 | 2400   0   0 | 600 120 0
.o3.o3.o3/2.o5*b    | * 120 |   1   20 |   20   60 |   60  20  12 |  20  12 1
--------------------+-------+----------+-----------+--------------+----------
oo3oo3oo3/2oo5*b&#x | 1   1 | 120    *    20    0 |   60   0   0 |  20  12 0
.x .. ..   ..       | 0   2 |   * 1200 |    1    6 |    6   3   3 |   3   3 1
--------------------+-------+----------+-----------+--------------+----------
ox .. ..   ..   &#x | 1   2 |   2    1 | 1200    * |    6   0   0 |   3   3 0
.x3.o ..   ..       | 0   3 |   0    3 |    * 2400 |    1   1   1 |   1   1 1
--------------------+-------+----------+-----------+--------------+----------
ox3oo ..   ..   &#x  1   3 |   3    3 |    3    1 | 2400   *   * |   1   1 0
.x3.o3.o   ..        0   4 |   0    6 |    0    4 |    * 600   * |   1   0 1
.x3.o ..   .o5*b     0  12 |   0   30 |    0   20 |    *   * 120 |   0   1 1
--------------------+-------+----------+-----------+--------------+----------
ox3oo3oo   ..   &#x  1   4 |   4    6 |    6    4 |    4   1   0 | 600   * *
ox3oo ..   oo5*b&#x  1  12 |  12   30 |   30   20 |   20   0   1 |   * 120 *
.x3.o3.o3/2.o5*b     0 120 |   0 1200 |    0 2400 |    0 600 120 |   *   * 1

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