Acronym starpedip (old: stipdip, starpendip)
Name pentagram-pentagon duoprism,
stellar (pentagonal) pentagonal diprism
 
Circumradius 1
Dihedral angles
  • at {5/2} between stip and stip:   108°
  • at {4} between pip and stip:   90°
  • at {5} between pip and pip:   36°
Face vector 25, 50, 35, 10
Confer
more general:
n/d,m/b-dip  
compounds:
spidy  
decompositions:
pt || starpedip  
External
links
hedrondude

As abstract polytope starpedip is automorph, thereby interchanging the roles of pentagons and pentagrams, resp. those of pip and stip.

If considered with according densities, then starpedip can be thought of as the external blend of 5 pippies + 5 stippies. This decomposition is described as the degenerate segmentoteron ox5oo ox5/2oo&#x.


Incidence matrix according to Dynkin symbol

x5o x5/2o

. . .   . | 25 |  2  2 | 1  4 1 | 2 2
----------+----+-------+--------+----
x . .   . |  2 | 25  * | 1  2 0 | 2 1
. . x   . |  2 |  * 25 | 0  2 1 | 1 2
----------+----+-------+--------+----
x5o .   . |  5 |  5  0 | 5  * * | 2 0
x . x   . |  4 |  2  2 | * 25 * | 1 1
. . x5/2o |  5 |  0  5 | *  * 5 | 0 2
----------+----+-------+--------+----
x5o x   .  10 | 10  5 | 2  5 0 | 5 *
x . x5/2o  10 |  5 10 | 0  5 2 | * 5

x5o x5/3o

. . .   . | 25 |  2  2 | 1  4 1 | 2 2
----------+----+-------+--------+----
x . .   . |  2 | 25  * | 1  2 0 | 2 1
. . x   . |  2 |  * 25 | 0  2 1 | 1 2
----------+----+-------+--------+----
x5o .   . |  5 |  5  0 | 5  * * | 2 0
x . x   . |  4 |  2  2 | * 25 * | 1 1
. . x5/3o |  5 |  0  5 | *  * 5 | 0 2
----------+----+-------+--------+----
x5o x   .  10 | 10  5 | 2  5 0 | 5 *
x . x5/3o  10 |  5 10 | 0  5 2 | * 5

x5/2o x5/4o

.   . .   . | 25 |  2  2 | 1  4 1 | 2 2
------------+----+-------+--------+----
x   . .   . |  2 | 25  * | 1  2 0 | 2 1
.   . x   . |  2 |  * 25 | 0  2 1 | 1 2
------------+----+-------+--------+----
x5/2o .   . |  5 |  5  0 | 5  * * | 2 0
x   . x   . |  4 |  2  2 | * 25 * | 1 1
.   . x5/4o |  5 |  0  5 | *  * 5 | 0 2
------------+----+-------+--------+----
x5/2o x   .  10 | 10  5 | 2  5 0 | 5 *
x   . x5/4o  10 |  5 10 | 0  5 2 | * 5

x5/3o x5/4o

.   . .   . | 25 |  2  2 | 1  4 1 | 2 2
------------+----+-------+--------+----
x   . .   . |  2 | 25  * | 1  2 0 | 2 1
.   . x   . |  2 |  * 25 | 0  2 1 | 1 2
------------+----+-------+--------+----
x5/3o .   . |  5 |  5  0 | 5  * * | 2 0
x   . x   . |  4 |  2  2 | * 25 * | 1 1
.   . x5/4o |  5 |  0  5 | *  * 5 | 0 2
------------+----+-------+--------+----
x5/3o x   .  10 | 10  5 | 2  5 0 | 5 *
x   . x5/4o  10 |  5 10 | 0  5 2 | * 5

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