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°
Confer
Grünbaumian relatives:
2gissid   3gissid   6gissid  
general polytopal classes:
regular   noble polytopes  
External
links
hedrondude   wikipedia   polytopewiki   WikiChoron   mathworld   nan ma

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

© 2004-2021
top of page