|Bowers style acronym||Tripod|
|Measures (edge lengths a, b)|
|Abstract & topological properties|
|Symmetry||A2, order 6|
The 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 tripod measure 60°.
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.
Another related polygon that has the name "tripod" is the propeller tripod. These two polygons share many of their properties, but while a (non-propeller) tripod has a density of 1, the propeller tripod has a density of 2.
In vertex figures[edit | edit source]
The tripod appears as a vertex figure in one uniform polyhedron, namely the great ditrigonal icosidodecahedron. This tripod has edge lengths of 1 and (1+√5)/2.
External links[edit | edit source]
- Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".