Acronym ohopy, pt || oho
Name (degenerate) octahemioctahedron pyramid
Circumradius ∞   i.e. flat in euclidean space
Dihedral angles
  • at {3} between hippy and tet:   180°
  • at {6} between hippy and oho:   0°
  • at {3} between oho and tet:   0°
Confer
general polytopal classes:
decomposition  

It either can be thought of as a degenerate 4D segmentotope with zero height, or as a 3D euclidean decomposition of the larger base into smaller bits.


Incidence matrix according to Dynkin symbol

oβ3oo3ox&#x   → height = 0
(pt || oho)

      o.3o.3o.      | 1  *  12  0  0 | 12 12 0 0 0 | 4 4 4 0
both( .o3.o3.o    ) | * 12 |  1  2  2 |  2  2 1 1 2 | 1 1 2 1
--------------------+------+----------+-------------+--------
both( oo3oo3oo&#x ) | 1  1 | 12  *  * |  2  2 0 0 0 | 1 1 2 0
both( .. .. .x    ) | 0  2 |  * 12  * |  1  0 0 1 1 | 0 1 1 1
sefa( .β3.o ..    ) | 0  2 |  *  * 12 |  0  1 1 0 1 | 1 0 1 1
--------------------+------+----------+-------------+--------
both( .. .. ox&#x ) | 1  2 |  2  1  0 | 12  * * * * | 0 1 1 0
sefa( oβ3oo ..&#x ) | 1  2 |  2  0  1 |  * 12 * * * | 1 0 1 0
      .β3.o ..       0  3 |  0  0  3 |  *  * 4 * * | 1 0 0 1
both( .. .o3.x    ) | 0  3 |  0  3  0 |  *  * * 4 * | 0 1 0 1
sefa( .β3.o3.x    ) | 0  6 |  0  3  3 |  *  * * * 4 | 0 0 1 1
--------------------+------+----------+-------------+--------
      oβ3oo ..&#x    1  3 |  3  0  3 |  0  3 1 0 0 | 4 * * *
both( .. oo3ox&#x )  1  3 |  3  3  0 |  3  0 0 1 0 | * 4 * *
sefa( oβ3oo3ox&#x )  1  6 |  6  3  3 |  3  3 0 0 1 | * * 4 *
      .β3.o3.x       0 12 |  0 12 12 |  0  0 4 4 4 | * * * 1

starting figure: ox3oo3ox&#x

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