Acronym	gidtid
TOCID symbol	JE
Name	great ditrigonary icosidodecahedron, vertex figure of gidtixhi
VRML	⭳ ©
Circumradius	sqrt(3)/2 = 0.866025
Vertex figure	[(3,5)3]/2
General of army	doe
Colonel of regiment	sidtid
Dual	gatai
Dihedral angles	between {3} and {5}:   arccos(sqrt[(5-2 sqrt(5))/15]) = 79.187683°
Face vector	20, 60, 32
Confer	Grünbaumian relatives: sidtid+gidtid   sidtid+ditdid+gidtid   ditdid+gidtid   gicdatrid   2gidtid+5cube   3gidtid   general polytopal classes: Wythoffian polyhedra
External links

As abstract polytope gidtid is isomorphic to sidtid, thereby replacing pentagons by pentagrams. – As such gidtid is a lieutenant.

Gidtid also can be obtained as a blend of sidtid with ditdid, blending out the pentagrams.

This polyhedron is an edge-faceting of the small ditrigonary icosidodecahedron (sidtid).

Incidence matrix according to Dynkin symbol

     o    
3/2 / \ 3 
   x---o  
     5    

x3/2o3o5*a

.   . .    | 20 |  6 |  3  3
-----------+----+----+------
x   . .    |  2 | 60 |  1  1
-----------+----+----+------
x3/2o .    |  3 |  3 | 20  *
x   . o5*a |  5 |  5 |  * 12

     o     
  3 / \ 3/2
   x---o   
     5     

o3/2o3x5*a

.   . .    | 20 |  6 |  3  3
-----------+----+----+------
.   . x    |  2 | 60 |  1  1
-----------+----+----+------
.   o3x    |  3 |  3 | 20  *
o   . x5*a |  5 |  5 |  * 12

     o    
  3 / \ 3 
   x---o  
    5/4   

x5/4o3o3*a

.   . .    | 20 |  6 |  3  3
-----------+----+----+------
x   . .    |  2 | 60 |  1  1
-----------+----+----+------
x5/4o .    |  5 |  5 | 12  *
x   . o3*a |  3 |  3 |  * 20

     o     
3/2 / \ 3/2
   x---o   
    5/4    

x5/4o3/2o3/2*a

.   .   .      | 20 |  6 |  3  3
---------------+----+----+------
x   .   .      |  2 | 60 |  1  1
---------------+----+----+------
x5/4o   .      |  5 |  5 | 12  *
x   .   o3/2*a |  3 |  3 |  * 20

β5/2o3o

both( .   . . ) | 20 |  6 |  3  3
----------------+----+----+------
sefa( β5/2o . ) |  2 | 60 |  1  1
----------------+----+----+------
      β5/2o .   ♦  5 |  5 | 12  *
sefa( β5/2o3o ) |  3 |  3 |  * 20

starting figure: x5/2o3o