Compound of two digons
(Redirected from Tetragram)
Compound of two digons | |
---|---|
Rank | 2 |
Type | Regular |
Notation | |
Schläfli symbol | {4/2} |
Elements | |
Components | 2 digons |
Edges | 4 |
Vertices | 4 |
Vertex figure | Dyad, length 0 |
Measures (edge length 1) | |
Circumradius | |
Area | 0 |
Angle | 0° |
Central density | 2 |
Related polytopes | |
Army | Square, edge length |
Dual | Compound of two digons |
Conjugate | None |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | B2, order 8 |
Convex | No |
Nature | Tame |
The stellated square, also called the compound of two digons, is a regular polygon compound, being the compound of two digons. As such it has 4 edges and 4 vertices. It is degenerate if embedded in Euclidean space, as its edges coincide. However it has a non-degenerate embeddeding on the surface of a 2-sphere.
It can be formed as a degenerate stellation of the square, by extending the edges to infinity.
Its quotient prismatic equivalent is the tetrahedron, which is three-dimensional.
Vertex coordinates[edit | edit source]
Coordinates for the vertices of a compound of two digons of edge length 1 centered at the origin are given by: