Acronym tid
TOCID symbol tD
Name truncated dodecahedron
 
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Circumradius sqrt[(37+15 sqrt(5))/8] = 2.969449
Vertex figure [3,102]
Vertex layers
LayerSymmetrySubsymmetries
 o3o5oo3o .o . o. o5o
1o3x5xo3x .
{3} first
o . x
edge first
. x5x
{10} first
2o3F .x . F. o5F
3x3U .F . U. o5U
4F3F .Z . F. x5F
5Z3x .U . Z. F5x
6U3F .A . x. U5o
7aF3U .F . A. F5o
7bB . o
8x3Z .x . B. x5x
opposite {10}
9aF3F .F . A 
9bB . o
10U3x .A . x
11F3o .U . Z
12x3o .
opposite {3}
Z . F
13 F . U
14x . F
15o . x
opposite edge
(F=ff, U=uf, Z=fff, A=ff.x(10), B=ff.sqrt(5))
General of army (is itself convex)
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Confer
Grünbaumian relatives:
2tid  
variations:
a3b5c  
External
links
hedrondude   wikipedia   WikiChoron   mathworld   quickfur

As abstract polytope tid is isomorphic to quit gissid, thereby replacing decagons by decagrams.


Incidence matrix according to Dynkin symbol

o3x5x

. . . | 60 |  2  1 |  1  2
------+----+-------+------
. x . |  2 | 60  * |  1  1
. . x |  2 |  * 30 |  0  2
------+----+-------+------
o3x . |  3 |  3  0 | 20  *
. x5x | 10 |  5  5 |  * 12

o3/2x5x

.   . . | 60 |  2  1 |  1  2
--------+----+-------+------
.   x . |  2 | 60  * |  1  1
.   . x |  2 |  * 30 |  0  2
--------+----+-------+------
o3/2x . |  3 |  3  0 | 20  *
.   x5x | 10 |  5  5 |  * 12

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