Propeller tripod

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Propeller tripod
Rank2
TypeSemi-uniform
Notation
Coxeter diagramx3/2y
Elements
Edges3+3
Vertices6
Vertex figureDyad
Measures (edge lengths a, b)
Circumradius
Area
Angle60º
Related polytopes
ArmyDit
Dualconcave triambus
Abstract & topological properties
Flag count12
OrientableYes
Properties
SymmetryA2, order 6
Flag orbits2
ConvexNo
NatureTame

The propeller tripod is a non-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 propeller tripod measure 60º.

If the two edge lengths are equal, then the figure degenerates into something that looks like a double-cover of an equilateral triangle, with pairs of coinciding vertices and edges. However, in any other case the shape is a fully valid polygon.

The propeller tripod can be seen as a variation of the tripod. These two polygons share many of their properties, but while the propeller tripod has a density of 2, a (non-propeller) tripod has a density of 1.

In vertex figures[edit | edit source]

The propeller tripod appears as a vertex figure in one uniform polyhedron, namely the ditrigonal dodecadodecahedron. This propeller tripod has edge lengths of (5–1)/2 and (1+5)/2.

External links[edit | edit source]