Acronym	sistadip
Name	square-pentagram duoprism
	©
Circumradius	sqrt[(10-sqrt(5))/10] = 0.881132
Volume	sqrt[25-10 sqrt(5)]/4 = 0.406150
Colonel of regiment	(is itself locally convex)
Dihedral angles	at {4} between cube and stip:   90° at {5/2} between stip and stip:   90° at {4} between cube and cube:   36°
Face vector	20, 40, 29, 9
Confer	general duoprisms: n/d,m/b-dip
External links

As abstract polytope sistadip is isomorphic to squipdip, thereby replacing pentagrams by pentagons, resp. stip by pip.

Incidence matrix according to Dynkin symbol

x4o x5/2o

. . .   . | 20 |  2  2 | 1  4 1 | 2 2
----------+----+-------+--------+----
x . .   . |  2 | 20  * | 1  2 0 | 2 1
. . x   . |  2 |  * 20 | 0  2 1 | 1 2
----------+----+-------+--------+----
x4o .   . |  4 |  4  0 | 5  * * | 2 0
x . x   . |  4 |  2  2 | * 20 * | 1 1
. . x5/2o |  5 |  0  5 | *  * 4 | 0 2
----------+----+-------+--------+----
x4o x   . ♦  8 |  8  4 | 2  4 0 | 5 *
x . x5/2o ♦ 10 |  5 10 | 0  5 2 | * 4

x4o x5/3o

. . .   . | 20 |  2  2 | 1  4 1 | 2 2
----------+----+-------+--------+----
x . .   . |  2 | 20  * | 1  2 0 | 2 1
. . x   . |  2 |  * 20 | 0  2 1 | 1 2
----------+----+-------+--------+----
x4o .   . |  4 |  4  0 | 5  * * | 2 0
x . x   . |  4 |  2  2 | * 20 * | 1 1
. . x5/3o |  5 |  0  5 | *  * 4 | 0 2
----------+----+-------+--------+----
x4o x   . ♦  8 |  8  4 | 2  4 0 | 5 *
x . x5/3o ♦ 10 |  5 10 | 0  5 2 | * 4

x4/3o x5/2o

.   . .   . | 20 |  2  2 | 1  4 1 | 2 2
------------+----+-------+--------+----
x   . .   . |  2 | 20  * | 1  2 0 | 2 1
.   . x   . |  2 |  * 20 | 0  2 1 | 1 2
------------+----+-------+--------+----
x4/3o .   . |  4 |  4  0 | 5  * * | 2 0
x   . x   . |  4 |  2  2 | * 20 * | 1 1
.   . x5/2o |  5 |  0  5 | *  * 4 | 0 2
------------+----+-------+--------+----
x4/3o x   . ♦  8 |  8  4 | 2  4 0 | 5 *
x   . x5/2o ♦ 10 |  5 10 | 0  5 2 | * 4

x4/3o x5/3o

.   . .   . | 20 |  2  2 | 1  4 1 | 2 2
------------+----+-------+--------+----
x   . .   . |  2 | 20  * | 1  2 0 | 2 1
.   . x   . |  2 |  * 20 | 0  2 1 | 1 2
------------+----+-------+--------+----
x4/3o .   . |  4 |  4  0 | 5  * * | 2 0
x   . x   . |  4 |  2  2 | * 20 * | 1 1
.   . x5/3o |  5 |  0  5 | *  * 4 | 0 2
------------+----+-------+--------+----
x4/3o x   . ♦  8 |  8  4 | 2  4 0 | 5 *
x   . x5/3o ♦ 10 |  5 10 | 0  5 2 | * 4

x x x5/2o

. . .   . | 20 |  1  1  2 | 1  2  2 1 | 2 1 1
----------+----+----------+-----------+------
x . .   . |  2 | 10  *  * | 1  2  0 0 | 2 1 0
. x .   . |  2 |  * 10  * | 1  0  2 0 | 2 0 1
. . x   . |  2 |  *  * 20 | 0  1  1 1 | 1 1 1
----------+----+----------+-----------+------
x x .   . |  4 |  2  2  0 | 5  *  * * | 2 0 0
x . x   . |  4 |  2  0  2 | * 10  * * | 1 1 0
. x x   . |  4 |  0  2  2 | *  * 10 * | 1 0 1
. . x5/2o |  5 |  0  0  5 | *  *  * 4 | 0 1 1
----------+----+----------+-----------+------
x x x   . ♦  8 |  4  4  4 | 2  2  2 0 | 5 * *
x . x5/2o ♦ 10 |  5  0 10 | 0  5  0 2 | * 2 *
. x x5/2o ♦ 10 |  0  5 10 | 0  0  5 2 | * * 2

xx xx5/2oo&#x   → height = 1
(stip || stip)

o. o.5/2o.    | 10  * | 1  2  1 0  0 | 2 1 1  2 0 0 | 1 2 1 0
.o .o5/2.o    |  * 10 | 0  0  1 1  2 | 0 0 1  2 2 1 | 0 2 1 1
--------------+-------+--------------+--------------+--------
x. ..   ..    |  2  0 | 5  *  * *  * | 2 0 1  0 0 0 | 1 2 0 0
.. x.   ..    |  2  0 | * 10  * *  * | 1 1 0  1 0 0 | 1 1 1 0
oo oo5/2oo&#x |  1  1 | *  * 10 *  * | 0 0 1  2 0 0 | 0 2 1 0
.x ..   ..    |  0  2 | *  *  * 5  * | 0 0 1  0 2 0 | 0 2 0 1
.. .x   ..    |  0  2 | *  *  * * 10 | 0 0 0  1 1 1 | 0 1 1 1
--------------+-------+--------------+--------------+--------
x. x.   ..    |  4  0 | 2  2  0 0  0 | 5 * *  * * * | 1 1 0 0
.. x.5/2o.    |  5  0 | 0  5  0 0  0 | * 2 *  * * * | 1 0 1 0
xx ..   ..&#x |  2  2 | 1  0  2 1  0 | * * 5  * * * | 0 2 0 0
.. xx   ..&#x |  2  2 | 0  1  2 0  1 | * * * 10 * * | 0 1 1 0
.x .x   ..    |  0  4 | 0  0  0 2  2 | * * *  * 5 * | 0 1 0 1
.. .x5/2.o    |  0  5 | 0  0  0 0  5 | * * *  * * 2 | 0 0 1 1
--------------+-------+--------------+--------------+--------
x. x.5/2o.    ♦ 10  0 | 5 10  0 0  0 | 5 2 0  0 0 0 | 1 * * *
xx xx   ..&#x ♦  4  4 | 2  2  4 2  2 | 1 0 2  2 1 0 | * 5 * *
.. xx5/2oo&#x ♦  5  5 | 0  5  5 0  5 | 0 1 0  5 0 1 | * * 2 *
.x .x5/2.o    ♦  0 10 | 0  0  0 5 10 | 0 0 0  0 5 2 | * * * 1

oqo xxx5/2ooo&#xt   → both heights = 1/sqrt(2) = 0.707107
({5/2} || pseudo (q,x)-stip || {5/2})

o.. o..5/2o..     & | 10  * |  2  2  0 | 1 1  4 0 | 2 2
.o. .o.5/2.o.       |  * 10 |  0  2  2 | 0 1  4 1 | 2 2
--------------------+-------+----------+----------+----
... x..   ...     & |  2  0 | 10  *  * | 1 0  2 0 | 1 2
oo. oo.5/2oo.&#x  & |  1  1 |  * 20  * | 0 1  2 0 | 2 1
... .x.   ...       |  0  2 |  *  * 10 | 0 0  2 1 | 1 2
--------------------+-------+----------+----------+----
... x..5/2o..     & |  5  0 |  5  0  0 | 2 *  * * | 0 2
oqo ...   ...&#xt   |  2  2 |  0  4  0 | * 5  * * | 2 0
... xx.   ...&#x  & |  2  2 |  1  2  1 | * * 20 * | 1 1
... .x.5/2.o.       |  0  5 |  0  0  5 | * *  * 2 | 0 2
--------------------+-------+----------+----------+----
oqo xxx   ...&#xt   ♦  4  4 |  2  8  2 | 0 2  4 0 | 5 *
... xx.5/2oo.&#x  & ♦  5  5 |  5  5  5 | 1 0  5 1 | * 4