Acronym quit sissid
TOCID symbol tD*
Name quasitruncated small stellated dodecahedron,
small stellated truncated dodecahedron,
small stellatruncated dodecahedron
 
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Circumradius sqrt[(17-5 sqrt(5))/8] = 0.852911
Vertex figure [10/3,10/3,5]
General of army srid
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Dihedral angles
  • between {10/3} and {10/3}:   arccos(-1/sqrt(5)) = 116.565051°
  • between {5} and {10/3}:   arccos(1/sqrt(5)) = 63.434949°
Confer
Grünbaumian relatives:
2quitsissid  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

As abstract polytope quit sissid is isomorphic to tigid, thereby replacing pentagons by pentagrams and decagrams by decagons.


Incidence matrix according to Dynkin symbol

x5/3x5o

.   . . | 60 |  1  2 |  2  1
--------+----+-------+------
x   . . |  2 | 30  * |  2  0
.   x . |  2 |  * 60 |  1  1
--------+----+-------+------
x5/3x . | 10 |  5  5 | 12  *
.   x5o |  5 |  0  5 |  * 12

o5/4x5/3x

.   .   . | 60 |  2  1 |  1  2
----------+----+-------+------
.   x   . |  2 | 60  * |  1  1
.   .   x |  2 |  * 30 |  0  2
----------+----+-------+------
o5/4x   . |  5 |  5  0 | 12  *
.   x5/3x | 10 |  5  5 |  * 12

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