Parallelogram

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Parallelogram
Rank2
Notation
Bowers style acronymPar
Elements
Edges2+2
Vertices2+2
Vertex figureDyad
Measures (edge length 1)
Central density1
Related polytopes
ArmyPar
DualParallelogram
ConjugateNone
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryK2+, order 2
ConvexYes
NatureTame

The parallelogram, or par, is a convex quadrilateral with inversion symmetry and two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Special cases of a parallelogram:

  • Rectangle – A parallelogram with four angles of equal size (right angles).
  • Rhombus – A parallelogram with four sides of equal length.
  • Square – A parallelogram with four sides of equal length and angles of equal size (right angles).

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