Quasitruncated trihexagonal tiling

From Polytope Wiki
Jump to navigation Jump to search
Quasitruncated trihexagonal tiling
Rank3
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymQuitothit
Coxeter diagramx6/5x3x ()
Elements
Faces3N squares, 2N hexagons, N dodecagrams
Edges6N+6N+6N
Vertices12N
Vertex figureScalene triangle, edge lengths 2, 3, (6-2)/2
Related polytopes
ArmyGrothat
RegimentQuitothit
ConjugateGreat rhombitrihexagonal tiling
Abstract & topological properties
Flag count72N
OrientableYes
Properties
SymmetryV3
ConvexNo
NatureTame

The quasitruncated trihexagonal tiling, or quitothit, is a non-convex uniform tiling of the Euclidean plane. 1 square, 1 hexagon, and 1 dodecagram join at each vertex of this tiling. It can be formed as the quasicantitruncation of the hexagonal tiling or its dual triangular tiling.

External links[edit | edit source]