Ditrigon

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Ditrigon
Rank2
TypeSemi-uniform
Notation
Bowers style acronymDit
Coxeter diagramx3y
Elements
Edges3+3
Vertices6
Vertex figureDyad
Measures (edge lengths a, b)
Circumradius
Area
Angle120°
Central density1
Related polytopes
ArmyDit
DualTriambus
ConjugateDitrigon
Abstract & topological properties
Flag count12
Euler characteristic0
OrientableYes
Properties
SymmetryA2, order 6
Flag orbits2
ConvexYes
Net count1
NatureTame

The ditrigon is a convex semi-uniform hexagon. As such it has 6 sides that alternate between two edge lengths, with each vertex joining one side of each length. All interior angles of a ditrigon measure 120°. If the side lengths are equal, the result is the regular hexagon.

Vertex Coordinates[edit | edit source]

A ditrigon with edge lengths a and b has the vertex coordinates

  • ,
  • ,
  • .

For retrograde ditrigons (i.e. tripods and propeller tripods), a  is negative.

In vertex figures[edit | edit source]

The ditrigon appears as a vertex figure in one uniform polyhedron, namely the small ditrigonary icosidodecahedron. This ditrigon has edge lengths of 1 and .

External links[edit | edit source]