Acronym ghothat, (inbetween: ghath)
Name great hexagonal-trigonal-hexagonal tiling
 
 ©
Vertex figure [3,12/5,6/5,12/5]
External
links
mcneill

This is the euclidean counterpart of the great cubicuboctahedron (gocco) or great dodekicosidodecahedron gaddid).

As abstract polytope ghothat is isomorphic to shothat, thereby replacing dodecagrams by dodecagons.


Incidence matrix according to Dynkin symbol

x6/5x3o6*a   (N → ∞)

.   . .    | 6N |  2  2 | 2 1  1
-----------+----+-------+-------
x   . .    |  2 | 6N  * | 1 1  0
.   x .    |  2 |  * 6N | 1 0  1
-----------+----+-------+-------
x6/5x .    | 12 |  6  6 | N *  *
x   . o6*a |  6 |  6  0 | * N  *
.   x3o    |  3 |  0  3 | * * 2N

x6/5x3/2o6/5*a   (N → ∞)

.   .   .      | 6N |  2  2 | 2 1  1
---------------+----+-------+-------
x   .   .      |  2 | 6N  * | 1 1  0
.   x   .      |  2 |  * 6N | 1 0  1
---------------+----+-------+-------
x6/5x   .      | 12 |  6  6 | N *  *
x   .   o6/5*a |  6 |  6  0 | * N  *
.   x3/2o      |  3 |  0  3 | * * 2N

© 2004-2019
top of page