Acronym	piddaf
Name	pentagonal duoantifastegium, (2,5)-duoantiwedge, pip atop bidual pip
Circumradius	sqrt[(6+sqrt(5))/8] = 1.014647
Lace hyper city in approx. ASCII-art	x5o x5o o5x o5x (disphenoid in configuration space)
Face vector	20, 70, 94, 56, 14
Confer	more general: n/d-daf general polytopal classes: segmentotera   scaliform
External links

Incidence matrix according to Dynkin symbol

xo ox xo5ox&#x   → height = 1/sqrt[sqrt(20)] = 0.472871
(pip || bidual pip)

o. o. o.5o.    | 10  * | 1  2  4 0  0 | 2 1  4  2  4  2 0 0 | 1  2  4  2  2  1 2 0 | 2 1 2 1
.o .o .o5.o    |  * 10 | 0  0  4 1  2 | 0 0  2  4  2  4 2 1 | 0  2  1  2  2  4 2 1 | 1 2 1 2
---------------+-------+--------------+---------------------+----------------------+--------
x. .. .. ..    |  2  0 | 5  *  * *  * | 2 0  4  0  0  0 0 0 | 1  2  4  2  0  0 0 0 | 2 1 2 0
.. .. x. ..    |  2  0 | * 10  * *  * | 1 1  0  0  2  0 0 0 | 1  0  2  0  1  0 2 0 | 1 0 2 1
oo oo oo5oo&#x |  1  1 | *  * 40 *  * | 0 0  1  1  1  1 0 0 | 0  1  1  1  1  1 1 0 | 1 1 1 1
.. .x .. ..    |  0  2 | *  *  * 5  * | 0 0  0  4  0  0 2 0 | 0  2  0  0  2  4 0 1 | 1 2 0 2
.. .. .. .x    |  0  2 | *  *  * * 10 | 0 0  0  0  0  2 1 1 | 0  0  0  1  0  2 2 1 | 0 1 1 2
---------------+-------+--------------+---------------------+----------------------+--------
x. .. x. ..    |  4  0 | 2  2  0 0  0 | 5 *  *  *  *  * * * | 1  0  2  0  0  0 0 0 | 1 0 2 0
.. .. x.5o.    |  5  0 | 0  5  0 0  0 | * 2  *  *  *  * * * | 1  0  0  0  0  0 2 0 | 0 0 2 1
xo .. .. ..&#x |  2  1 | 1  0  2 0  0 | * * 20  *  *  * * * | 0  1  1  1  0  0 0 0 | 1 1 1 0
.. ox .. ..&#x |  1  2 | 0  0  2 1  0 | * *  * 20  *  * * * | 0  1  0  0  1  1 0 0 | 1 1 0 1
.. .. xo ..&#x |  2  1 | 0  1  2 0  0 | * *  *  * 20  * * * | 0  0  1  0  1  0 1 0 | 1 0 1 1
.. .. .. ox&#x |  1  2 | 0  0  2 0  1 | * *  *  *  * 20 * * | 0  0  0  1  0  1 1 0 | 0 1 1 1
.. .x .. .x    |  0  4 | 0  0  0 2  2 | * *  *  *  *  * 5 * | 0  0  0  0  0  2 0 1 | 0 1 0 2
.. .. .o5.x    |  0  5 | 0  0  0 0  5 | * *  *  *  *  * * 2 | 0  0  0  0  0  0 2 1 | 0 0 1 2
---------------+-------+--------------+---------------------+----------------------+--------
x. .. x.5o.    ♦ 10  0 | 5 10  0 0  0 | 5 2  0  0  0  0 0 0 | 1  *  *  *  *  * * * | 0 0 2 0
xo ox .. ..&#x ♦  2  2 | 1  0  4 1  0 | 0 0  2  2  0  0 0 0 | * 10  *  *  *  * * * | 1 1 0 0
xo .. xo ..&#x ♦  4  1 | 2  2  4 0  0 | 1 0  2  0  2  0 0 0 | *  * 10  *  *  * * * | 1 0 1 0
xo .. .. ox&#x ♦  2  2 | 1  0  4 0  1 | 0 0  2  0  0  2 0 0 | *  *  * 10  *  * * * | 0 1 1 0
.. ox xo ..&#x ♦  2  2 | 0  1  4 1  0 | 0 0  0  2  2  0 0 0 | *  *  *  * 10  * * * | 1 0 0 1
.. ox .. ox&#x ♦  1  4 | 0  0  4 2  2 | 0 0  0  2  0  2 1 0 | *  *  *  *  * 10 * * | 0 1 0 1
.. .. xo5ox&#x ♦  5  5 | 0  5 10 0  5 | 0 1  0  0  5  5 0 1 | *  *  *  *  *  * 4 * | 0 0 1 1
.. .x .o5.x    ♦  0 10 | 0  0  0 5 10 | 0 0  0  0  0  0 5 2 | *  *  *  *  *  * * 1 | 0 0 0 2
---------------+-------+--------------+---------------------+----------------------+--------
xo ox xo ..&#x ♦  4  2 | 2  2  8 1  0 | 1 0  4  4  4  0 0 0 | 0  2  2  0  2  0 0 0 | 5 * * *
xo ox .. ox&#x ♦  2  4 | 1  0  8 2  2 | 0 0  4  4  0  4 1 0 | 0  2  0  2  0  2 0 0 | * 5 * *
xo .. xo5ox&#x ♦ 10  5 | 5 10 20 0  5 | 5 2 10  0 10 10 0 1 | 1  0  5  5  0  0 2 0 | * * 2 *
.. ox xo5ox&#x ♦  5 10 | 0  5 20 5 10 | 0 1  0 10 10 10 5 2 | 0  0  0  0  5  5 2 1 | * * * 2

or
o. o. o.5o.    & | 20 |  1  2  4 |  2 1  6  6 | 1  2  5  4 2 |  3 3
-----------------+----+----------+------------+--------------+-----
x. .. .. ..    & |  2 | 10  *  * |  2 0  4  0 | 1  2  4  2 0 |  3 2
.. .. x. ..    & |  2 |  * 20  * |  1 1  0  2 | 1  0  2  1 2 |  1 3
oo oo oo5oo&#x   |  2 |  *  * 40 |  0 0  2  2 | 0  1  2  2 1 |  2 2
-----------------+----+----------+------------+--------------+-----
x. .. x. ..    & |  4 |  2  2  0 | 10 *  *  * | 1  0  2  0 0 |  1 2
.. .. x.5o.    & |  5 |  0  5  0 |  * 4  *  * | 1  0  0  0 2 |  0 3
xo .. .. ..&#x & |  3 |  1  0  2 |  * * 40  * | 0  1  1  1 0 |  2 1
.. .. xo ..&#x & |  3 |  0  1  2 |  * *  * 40 | 0  0  1  1 1 |  1 2
-----------------+----+----------+------------+--------------+-----
x. .. x.5o.    & ♦ 10 |  5 10  0 |  5 2  0  0 | 2  *  *  * * |  0 2
xo ox .. ..&#x   ♦  4 |  2  0  4 |  0 0  4  0 | * 10  *  * * |  2 0
xo .. xo ..&#x & ♦  5 |  2  2  4 |  1 0  2  2 | *  * 20  * * |  1 1
xo .. .. ox&#x & ♦  4 |  1  1  4 |  0 0  2  2 | *  *  * 20 * |  1 1
.. .. xo5ox&#x   ♦ 10 |  0 10 10 |  0 2  0 10 | *  *  *  * 4 |  0 2
-----------------+----+----------+------------+--------------+-----
xo ox xo ..&#x & ♦  6 |  3  2  8 |  1 0  8  4 | 0  2  2  2 0 | 10 *
xo .. xo5ox&#x & ♦ 15 |  5 15 20 |  5 5 10 20 | 1  0  5  5 2 |  * 4