Acronym giddy
TOCID symbol ei|JE
Name great dodekicosahedron
 
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Circumradius sqrt[(17-3 sqrt(5))/8] = 1.134229
Vertex figure [6/5,10/7,6,10/3]/0
General of army tid
Colonel of regiment gidditdid
Confer
Grünbaumian relatives:
giddy+12{10/2}   giddy+20{6/2}  
Dihedral angles
  • between {6} and {10/3} (at pseudo {3}):   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317°
  • between {6} and {10/3} (at pseudo {5}):   arccos(sqrt[(5+2 sqrt(5))/15]) = 37.377368°
External
links
hedrondude   wikipedia   WikiChoron   mathworld

As abstract polytope giddy is isomorphic to siddy, thereby replacing decagrams by decagons.


Incidence matrix according to Dynkin symbol

reduced( x5/3x5/2x3*a , by 12{10/2} )
or
reduced( x3/2x5/3x3*a , by 20{6/2} )

60 |   4 |  2  2
---+-----+------
 2 | 120 |  1  1
---+-----+------
 6 |   6 | 20  *
10 |  10 |  * 12

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