The plane has **length** and **width**. The plane also refers to a hypothetical two-dimensional space of infinite extent; this use is used, for example, when describing tilings of the plane. Points on the plane can be shown using two coordinates, written as . In analogue with Space.

## Objects on the Plane Edit

### List of Uniform Polygons Edit

### List of Curved Polygons Edit

### Flexagons Edit

Polygon has 3 or more faces called flexagon

### Polyominoes Edit

Polyominoes are two-dimensional figures consisting of multiple squares fixed edge-to-edge. There are an infinite number of polyominoes, and the number of polyominoes increases with the amount of squares allowed.

## Coordinates on the Plane Edit

There are two coordinate systems that can be used to define points on the plane - Cartesian coordinates, and polar coordinates.

Cartesian coordinates consist of two distances - the left-right distance from the origin, and the up-down distance from the origin. This is written as . Cartesian coordinates where either *x* or *y* are fixed trace out an infinite line. Cartesian coordinates where both are fixed trace out a point, and where none are fixed trace out a plane.

Polar coordinates consist of a distance and an angle - the overall distance from the origin, and the angle of the point from horizontal. This is written as . Polar coordinates where *x* is fixed trace out a circle; polar coordinates where *θ* is fixed trace out an infinite line. Polar coordinates where both are fixed trace out a point, and where none are fixed trace out a plane.

When converting from polar to Cartesian coordinates, the equations and can be used. When converting from Cartesian to polar coordinates, the equations and can be used.

## Dimension Edit

Name: Polygon

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