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 |