Butterfly
Jump to navigation
Jump to search
Butterfly | |
---|---|
![]() | |
Rank | 2 |
Space | Spherical |
Notation | |
Bowers style acronym | Butter |
Elements | |
Edges | 2+2 |
Vertices | 2+2 |
Vertex figure | Dyad |
Related polytopes | |
Army | Traz |
Dual | Butterfly |
Conjugate | Butterfly |
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 |