Acronym gaquatid
TOCID symbol tJE*
Name great quasitruncated icosidodecahedron,
stellatruncated icosidodecahedron
 
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Circumradius sqrt[31-12 sqrt(5)]/2 = 1.020684
Vertex figure [10/3,4,6]
General of army v3x5f
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Dihedral angles
  • between {4} and {10/3}:   arccos(-sqrt[(5-sqrt(5))/10]) = 121.717474°
  • between {6} and {10/3}:   arccos(sqrt[(5-2 sqrt(5))/15]) = 79.187683°
  • between {4} and {6}:   arccos(sqrt[(3-sqrt(5))/6]) = 69.094843°
External
links
hedrondude   wikipedia   WikiChoron   mathworld

As abstract polytope gaquatid is isomorphic to grid, thereby replacing decagrams by decagons.


Incidence matrix according to Dynkin symbol

x5/3x3x

.   . . | 120 |  1  1  1 |  1  1  1
--------+-----+----------+---------
x   . . |   2 | 60  *  * |  1  1  0
.   x . |   2 |  * 60  * |  1  0  1
.   . x |   2 |  *  * 60 |  0  1  1
--------+-----+----------+---------
x5/3x . |  10 |  5  5  0 | 12  *  *
x   . x |   4 |  2  0  2 |  * 30  *
.   x3x |   6 |  0  3  3 |  *  * 20

snubbed forms: s5/3s3s

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