Acronym sipstar
Name "square-pentagon-pentagram(star)-thingy",
vertex figure of retroantiprismatosnub disicositetrachoron
 
Circumradius sqrt(3)/2 = 0.866025
Vertex figure [5/2,4,4,5/4,4,4], [5/2,4,5]
Confer
uniform relatives:
ditdid   rhom   cadditradid  
faceting of:
sidtid  
External
links
Polyedergarten

As abstract polytope sipstar is automorph, thereby interchanging the roles of pentagons and pentagrams.

Sadly the above provided acronym is kind of a misnomer, as sidtid allows for several edge facetings using squares, pentagons, and pentagrams only. In fact, not even the mere count of 6 squares and 3 each of pentagons and pentagrams would be unique. Still, it is provided here for historical reasons.


Incidence matrix

3 * * | 2 2 2 0 0 0 | 2 2 1 1	{5/2}-heads
* 6 * | 0 1 0 1 1 0 | 1 0 1 1	{5/2}-arms
* * 6 | 0 0 1 0 1 1 | 0 1 1 1	{5/2}-legs
------+-------------+--------
2 0 0 | 3 * * * * * | 1 1 0 0
1 1 0 | * 6 * * * * | 1 0 1 0
1 0 1 | * * 6 * * * | 0 1 0 1
0 2 0 | * * * 3 * * | 1 0 0 1
0 1 1 | * * * * 6 * | 0 0 1 1
0 0 2 | * * * * * 3 | 0 1 1 0
------+-------------+--------
2 2 0 | 1 2 0 1 0 0 | 3 * * *	verf(oct)
2 0 2 | 1 0 2 0 0 1 | * 3 * *	verf(oct)
1 2 2 | 0 2 0 0 2 1 | * * 3 *	{5} verf(ike)
1 2 2 | 0 0 2 1 2 0 | * * * 3	{5/2} verf(gike)

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