# Rectangle

Rectangle Rank2
TypeSemi-uniform
SpaceSpherical
Notation
Bowers style acronymRect
Coxeter diagramx y
Elements
Edges2+2
Vertices4
Measures (edge lengths a, b)
Circumradius$\frac{\sqrt{a^2+b^2}}{2}$ Area$ab$ Angle90°
Central density1
Related polytopes
ArmyRect
DualRhombus
ConjugateRectangle
Abstract properties
Euler characteristic0
Topological properties
OrientableYes
Properties
SymmetryK2, order 4
ConvexYes
NatureTame

The rectangle is a semi-uniform quadrilateral with 2 pairs of opposite parallel sides. All interior angles of a rectangle measure 90°. A rectangle is the prism product of two dyads of different lengths.

Any rectangle can tile the euclidean plane, regardless of its sides.

## Vertex coordinates

Coordinates for the vertices of a rectangle with side lengths a and b, centered at the origin, are:

• a/2, ±b/2).

## In vertex figures

Because the rectangle is a semi-uniform polygon, all polyhedra with rectangular vertex figures are quasiregular. They are also all the result of rectification of regular polyhedra.