This polychoron is exotic as both the decagons and decagrams come in coincident pairs. The edges of both larger edge classes likewise coincide pairwise within either class, while those of the smaller class coincide by 3. Finally, the vertices too coincide by 3.

It can be obtained either as blend of badohi, sabippady, and ganbippady, blending out the ri and stip; alternatively it can be obtained as blend of badohi, gabippady, and sanbippady, blending out the ri and pip.

As abstract polytope ebuthi is automorph, thereby interchanging both, the roles of decagrams and decagons, and the roles of pentagons and pentagrams; resp. interchanging quit sissid and tigid.

Incidence matrix

x5x5/3x5o5/2*a

. .   . .      | 7200 |    2    1    2 |    2    2    1    2    1 |   2   1   1   1
---------------+------+----------------+--------------------------+----------------
x .   . .      |    2 | 7200    *    * |    1    1    1    0    0 |   1   1   1   0
. x   . .      |    2 |    * 3600    * |    2    0    0    2    0 |   2   1   0   1
. .   x .      |    2 |    *    * 7200 |    0    1    0    1    1 |   1   0   1   1
---------------+------+----------------+--------------------------+----------------
x5x   . .      |   10 |    5    5    0 | 1440    *    *    *    * |   1   1   0   0
x .   x .      |    4 |    2    0    2 |    * 3600    *    *    * |   1   0   1   0
x .   . o5/2*a |    5 |    5    0    0 |    *    * 1440    *    * |   0   1   1   0
. x5/3x .      |   10 |    0    5    5 |    *    *    * 1440    * |   1   0   0   1
. .   x5o      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
---------------+------+----------------+--------------------------+----------------
x5x5/3x .      ♦  120 |   60   60   60 |   12   30    0   12    0 | 120   *   *   *
x5x   . o5/2*a ♦   60 |   60   30    0 |   12    0   12    0    0 |   * 120   *   *
x .   x5o5/2*a ♦   60 |   60    0   60 |    0   30   12    0   12 |   *   * 120   *
. x5/3x5o      ♦   60 |    0   30   60 |    0    0    0   12   12 |   *   *   * 120

x5x5/3x5/4o5/3*a

. .   .   .      | 7200 |    2    1    2 |    2    2    1    2    1 |   2   1   1   1
-----------------+------+----------------+--------------------------+----------------
x .   .   .      |    2 | 7200    *    * |    1    1    1    0    0 |   1   1   1   0
. x   .   .      |    2 |    * 3600    * |    2    0    0    2    0 |   2   1   0   1
. .   x   .      |    2 |    *    * 7200 |    0    1    0    1    1 |   1   0   1   1
-----------------+------+----------------+--------------------------+----------------
x5x   .   .      |   10 |    5    5    0 | 1440    *    *    *    * |   1   1   0   0
x .   x   .      |    4 |    2    0    2 |    * 3600    *    *    * |   1   0   1   0
x .   .   o5/3*a |    5 |    5    0    0 |    *    * 1440    *    * |   0   1   1   0
. x5/3x   .      |   10 |    0    5    5 |    *    *    * 1440    * |   1   0   0   1
. .   x5/4o      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-----------------+------+----------------+--------------------------+----------------
x5x5/3x   .      ♦  120 |   60   60   60 |   12   30    0   12    0 | 120   *   *   *
x5x   .   o5/3*a ♦   60 |   60   30    0 |   12    0   12    0    0 |   * 120   *   *
x .   x5/4o5/3*a ♦   60 |   60    0   60 |    0   30   12    0   12 |   *   * 120   *
. x5/3x5/4o      ♦   60 |    0   30   60 |    0    0    0   12   12 |   *   *   * 120