Ditrigonary triangular-hemiapeirogonal tiling

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Ditrigonary triangular-hemiapeirogonal tiling
Rank3
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymDitatha
Coxeter diagramx3/2o3o∞*a ()
Elements
FacesMN triangles, 3N apeirogons
Edges3MN
VerticesMN
Vertex figureHemitripod
Related polytopes
ArmyTrat
RegimentTrat
ConjugateNone
Abstract & topological properties
Flag count12MN
OrientableYes
Genus
Properties
SymmetryP3
ConvexNo
NatureTame

The ditrigonary triangular-hemiapeirogonal tiling, or ditatha, is a nonconvex uniform tiling of the Euclidean plane. 3 triangles and 3 apeirogons join at each vertex of this tiling.

It is based on the same edge set as the triangular tiling, while only using half its triangles, such that no edge joins two triangles.

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