# Propeller tripod

Propeller tripod Rank2
TypeSemi-uniform
SpaceSpherical
Notation
Coxeter diagramx3/2y
Elements
Edges3+3
Vertices6
Measures (edge lengths a, b)
Circumradius$\sqrt{\frac{a^2-ab+b^2}{3}}$ Area$\frac{\sqrt3}{4}(4ab-a^2-b^2)$ Angle60º
Related polytopes
ArmyDit
Dualconcave triambus
Abstract & topological properties
OrientableYes
Properties
SymmetryA2, order 6
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

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.