Acronym	sidtid
TOCID symbol	ID*
Name	small ditrigonary icosidodecahedron, holosnub dodecahedron, vertex figure of sidtixhi
VRML	⭳ ©
Circumradius	sqrt(3)/2 = 0.866025
Inradius wrt. {5/2}	sqrt[(5+2 sqrt(5))/20] = 0.688191
Inradius wrt. {3}	sqrt(5/12) = 0.645497
Vertex figure	[(5/2,3)3]
Snub derivation / VRML	⭳
General of army	doe
Colonel of regiment	(is itself locally convex – other uniform polyhedral members: ditdid   gidtid – uniform compound member: rhom – other edge facetings)
Dual	stai
Dihedral angles	between {3} and {5/2}:   arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632°
Face vector	20, 60, 32
Confer	Grünbaumian relatives: sidtid+ditdid   sidtid+ditdid+gidtid   sidtid+gidtid   sicdatrid   2sidtid+5cube   3sidtid   facetings: ditdid (sidtid-12-0-0-12)   gidtid (sidtid-0-20-0-12)   rhom (sidtid-0-0-30-0)   rapescu (sidtid-0-5-5-1)   stiscu (sidtid-1-5-5-0)   trippescu (sidtid-0-3-3-3)   quistet (sidtid-0-8-12-0-b)   dritit (sidtid-3-0-6-3-b)   sifodib (sidtid-0-10-20-2)   gifodib (sidtid-2-10-20-0)   stapper (sidtid-2-4-2-2)   stopper (sidtid-2-4-4-2)   blends: with 12 stiscues   general polytopal classes: Wythoffian polyhedra
External links

As abstract polytope sidtid is isomorphic to gidtid, thereby replacing pentagrams by pentagons.

Sidtid also can be obtained as a blend of gidtid with ditdid, blending out the pentagons.

Incidence matrix according to Dynkin symbol

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

x5/2o3o3*a

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

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

o3/2x5/3o3*a

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

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

o3/2o5/3x3*a

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

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

x3/2o3/2o5/2*a

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

β5o3o

both( . . . ) | 20 |  6 |  3  3
--------------+----+----+------
sefa( β5o . ) |  2 | 60 |  1  1
--------------+----+----+------
      β5o .   ♦  5 |  5 | 12  *
sefa( β5o3o ) |  3 |  3 |  * 20

starting figure: x5o3o