Butterfly

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Butterfly
Butterfly shape.png
Rank2
SpaceSpherical
Notation
Bowers style acronymButter
Elements
Edges2+2
Vertices2+2
Vertex figureDyad
Related polytopes
ArmyTraz
DualButterfly
ConjugateButterfly
Topological properties
OrientableNo
Properties
SymmetryA1×I, order 2
ConvexNo
NatureTame

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]

Butterflies in vertex figures
Name Picture Edge lengths
Small rhombihexahedron
Small rhombihexahedron.png
2, 2+2
Great rhombihexahedron
Great rhombihexahedron.png
2, 2–2
Rhombicosahedron
Rhombicosahedron.png
2, 3
Small rhombidodecahedron
Small rhombidodecahedron.png
2, (5+5)/2
Great rhombidodecahedron
Great rhombidodecahedron.png
2, (5–5)/2
Small dodecicosahedron
Small dodecicosahedron.png
3, (5+5)/2
Great dodecicosahedron
Great dodecicosahedron.png
3, (5–5)/2