Acronym	gissid
TOCID symbol	E*
Name	great stellated dodecahedron, tri-stellahedron
	© ©
Circumradius	(sqrt(5)-1) sqrt(3)/4 = 0.535233
Inradius	sqrt[(25-11 sqrt(5))/40] = 0.100406
Density	7
Vertex figure	[(5/2)3]
General of army	doe
Colonel of regiment	(is itself locally convex – no other uniform polyhedral members)
Dual	gike
Dihedral angles	between {5/2} and {5/2}:   arccos(1/sqrt(5)) = 63.434949°
Face vector	20, 30, 12
Confer	Grünbaumian relatives: 2gissid   3gissid   6gissid   general polytopal classes: Wythoffian polyhedra   regular   noble polytopes
External links

As abstract polytope gissid is isomorphic to doe, thereby replacing pentagrams by pentagons.

Incidence matrix according to Dynkin symbol

x5/2o3o

.   . . | 20 |  3 |  3
--------+----+----+---
x   . . |  2 | 30 |  2
--------+----+----+---
x5/2o . |  5 |  5 | 12

snubbed forms: β5/2o3o

x5/3o3o

.   . . | 20 |  3 |  3
--------+----+----+---
x   . . |  2 | 30 |  2
--------+----+----+---
x5/3o . |  5 |  5 | 12

o3/2o5/2x

.   .   . | 20 |  3 |  3
----------+----+----+---
.   .   x |  2 | 30 |  2
----------+----+----+---
.   o5/2x |  5 |  5 | 12

o3/2o5/3x

.   .   . | 20 |  3 |  3
----------+----+----+---
.   .   x |  2 | 30 |  2
----------+----+----+---
.   o5/3x |  5 |  5 | 12