Acronym tigid
TOCID symbol tE
Name truncated great dodecahedron
 
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Circumradius sqrt[(17+5 sqrt(5))/8] = 1.876844
Vertex figure [5/2,102]
General of army f3x5o
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Dihedral angles
  • between {5/2} and {10}:   arccos(-1/sqrt(5)) = 116.565051°
  • between {10} and {10}:   arccos(1/sqrt(5)) = 63.434949°
Confer
Grünbaumian relatives:
2tigid  
decompositions:
gad || tigid  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

As abstract polytope tigid is isomorphic to quit sissid, thereby replacing pentagrams by pentagons and decagons by decagrams.

Note that tigid can be thought of as the external blend of 1 gad + 12 pecues + 12 stappies. This decomposition is described as the degenerate segmentochoron xx5ox5/2oo&#xt.


Incidence matrix according to Dynkin symbol

o5/2x5x

.   . . | 60 |  2  1 |  1  2
--------+----+-------+------
.   x . |  2 | 60  * |  1  1
.   . x |  2 |  * 30 |  0  2
--------+----+-------+------
o5/2x . |  5 |  5  0 | 12  *
.   x5x | 10 |  5  5 |  * 12

snubbed forms: o5/2β5x, o5/2x5β, o5/2β5β

o5/3x5x

.   . . | 60 |  2  1 |  1  2
--------+----+-------+------
.   x . |  2 | 60  * |  1  1
.   . x |  2 |  * 30 |  0  2
--------+----+-------+------
o5/3x . |  5 |  5  0 | 12  *
.   x5x | 10 |  5  5 |  * 12

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