Butterfly
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| Butterfly | |
|---|---|
 | |
| Rank | 2 |
| Notation | |
| Bowers style acronym | Butter |
| Elements | |
| Edges | 2+2 |
| Vertices | 2+2 |
| Vertex figure | Dyad |
| Related polytopes | |
| Army | Traz |
| Dual | Butterfly |
| Conjugate | Butterfly |
| Abstract & topological properties | |
| Orientable | No |
| Properties | |
| Symmetry | A1×I, order 2 |
| Convex | No |
| Nature | Tame |
A butterfly or butter, also called an antiparallelogram, is a non-convex quadrilateral with the vertices of an isosceles trapezoid. It uses the two lateral sides of the trapezoid, along with the other two sides being crossing diagonals.
In vertex figures[edit | edit source]
| Name | Picture | Edge lengths |
|---|---|---|
| Small rhombihexahedron |  |
√2, √2+√2 |
| Great rhombihexahedron |  |
√2, √2–√2 |
| Rhombicosahedron |  |
√2, √3 |
| Small rhombidodecahedron |  |
√2, √(5+√5)/2 |
| Great rhombidodecahedron |  |
√2, √(5–√5)/2 |
| Small dodecicosahedron |  |
√3, √(5+√5)/2 |
| Great dodecicosahedron |  |
√3, √(5–√5)/2 |