Acronym quit gissid
TOCID symbol tE*
Name quasitruncated great stellated dodecahedron,
great stellated truncated dodecahedron,
great stellatruncated dodecahedron
 
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Circumradius sqrt[(37-15 sqrt(5))/8] = 0.657550
Vertex figure [3,10/3,10/3]
General of army f3o5x
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Dihedral angles
  • between {3} and {10/3}:   arccos(arccos(sqrt[(5-2 sqrt(5))/15]) = 79.187683°
  • between {10/3} and {10/3}:   arccos(1/sqrt(5)) = 63.434949°
Confer
Grünbaumian relatives:
2quitgissid  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

As abstract polytope quit gissid is isomorphic to tid, thereby replacing decagrams by decagons.


Incidence matrix according to Dynkin symbol

x5/3x3o

.   . . | 60 |  1  2 |  2  1
--------+----+-------+------
x   . . |  2 | 30  * |  2  0
.   x . |  2 |  * 60 |  1  1
--------+----+-------+------
x5/3x . | 10 |  5  5 | 12  *
.   x3o |  3 |  0  3 |  * 20

o3/2x5/3x

.   .   . | 60 |  2  1 |  1  2
----------+----+-------+------
.   x   . |  2 | 60  * |  1  1
.   x   . |  2 |  * 30 |  0  2
----------+----+-------+------
o3/2x   . |  3 |  3  0 | 20  *
.   x5/3x | 10 |  5  5 |  * 12

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