Gifodib is an edge-faceting of sidtid, in fact it uses triangles and pentagrams of sidtid and squares of rhom, the inscribed compound of 5 cube.

As abstract polytope gifodib is isomorphic to sifodib, thereby interchanging the roles of pentagrams and pentagons.

The name and acronym here was derived in the sense of conjugation, i.e. changing both the small versus great qualifier AND the pentagram versus pentagon interchangings. This is how gifodib, ie. a nominal gidtid-0-10-20-2, becomes the sidtid faceting sidtid-2-10-20-0.

Incidence matrix

{5/2} || pseudo {5} || dual pseudo {5} || dual {5/2}   → outer heights = sqrt[(5-sqrt(5))/10] = 0.525731
                               inner height = sqrt[(5-2 sqrt(5))/5] = 0.324920

5 * * * | 2  2  2 0  0 0  0 0 | 1 2  2 1 0 0 0  [3/2,4,4,5/3,4,4]
* 5 * * | 0  2  0 2  2 0  0 0 | 0 2  2 0 2 0 0  [3/2,4,4,3,4/3,4/3]/0
* * 5 * | 0  0  2 0  0 2  2 0 | 0 0  2 2 0 2 0  [3/2,4,4,3,4/3,4/3]/0
* * * 5 | 0  0  0 0  2 0  2 2 | 0 0  2 0 1 2 1  [3/2,4,4,5/3,4,4]
--------+---------------------+---------------
2 0 0 0 | 5  *  * *  * *  * * | 1 1  0 0 0 0 0
1 1 0 0 | * 10  * *  * *  * * | 0 1  1 0 0 0 0
1 0 1 0 | *  * 10 *  * *  * * | 0 0  1 1 0 0 0
0 2 0 0 | *  *  * 5  * *  * * | 0 1  0 0 1 0 0  pseudo {5}
0 1 0 1 | *  *  * * 10 *  * * | 0 0  1 0 1 0 0
0 0 2 0 | *  *  * *  * 5  * * | 0 0  0 1 0 1 0  pseudo {5}
0 0 1 1 | *  *  * *  * * 10 * | 0 0  1 0 0 1 0
0 0 0 2 | *  *  * *  * *  * 5 | 0 0  0 0 0 1 1
--------+---------------------+---------------
5 0 0 0 | 5  0  0 0  0 0  0 0 | 1 *  * * * * *  {5/2}
2 2 0 0 | 1  2  0 1  0 0  0 0 | * 5  * * * * *
1 1 1 1 | 0  1  1 0  1 0  1 0 | * * 10 * * * *
1 0 2 0 | 0  0  2 0  0 1  0 0 | * *  * 5 * * *
0 2 0 1 | 0  0  0 1  2 0  0 0 | * *  * * 5 * *
0 0 2 2 | 0  0  0 0  0 1  2 1 | * *  * * * 5 *
0 0 0 5 | 0  0  0 0  0 0  0 5 | * *  * * * * 1  {5/2}

or
10  * |  2  2  2  0 | 1  2  2  1  [3/2,4,4,5/3,4,4]
 * 10 |  0  2  2  2 | 0  2  2  2  [3/2,4,4,3,4/3,4/3]/0
------+-------------+-----------
 2  0 | 10  *  *  * | 1  1  0  0
 1  1 |  * 20  *  * | 0  1  1  0  lacing neighbouring layers
 1  1 |  *  * 20  * | 0  0  1  1  lacing one but next layers
 0  2 |  *  *  * 10 | 0  1  0  1  pseudo {5}
------+-------------+-----------
 5  0 |  5  0  0  0 | 2  *  *  *  {5/2}
 2  2 |  1  2  0  1 | * 10  *  *
 2  2 |  0  2  2  0 | *  * 10  *
 1  2 |  0  0  2  1 | *  *  * 10