Plane vs. Polygon — What's the Difference?

A flat surface with no thickness or curvature.

A flat shape with straight sides that are fully closed.

An undefined surface extending infinitely in two dimensions.

A multi-sided figure used in mathematical contexts.

A tool for smoothing or shaping wood.

An area defined for administrative purposes.

An airplane.

A fundamental element in computer graphics for modeling.

A level of existence or thought.

A shape used in art and design for pattern making.

(Mathematics) A surface containing all the straight lines that connect any two points on it.

In geometry, a polygon () is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain (or polygonal circuit). The bounded plane region, the bounding circuit, or the two together, may be called a polygon.

A flat or level surface.

A plane figure with at least three straight sides and angles, and typically five or more.

A level of development, existence, or achievement

A closed plane figure bounded by three or more line segments.

An airplane or hydroplane.

(geometry) A plane figure bounded by edges that are all straight lines.

A supporting surface of an airplane; an airfoil or wing.

(geometry) The boundary of such a figure.

A carpenter's tool with an adjustable blade for smoothing and leveling wood.

A figure comprising vertices and (not necessarily straight) edges, alternatingly.

A trowel-shaped tool for smoothing the surface of clay, sand, or plaster in a mold.

(geometry) Such a figure and its interior, taken as a whole.

The plane tree.

A plane figure having many angles, and consequently many sides; esp., one whose perimeter consists of more than four sides; any figure having many angles.

(Mathematics) Of or being a figure lying in a plane

A closed plane figure bounded by straight sides

Flat; level.

To smooth or finish with a plane

To remove with a plane

To work with a plane.

To rise partly out of the water, as a hydroplane does at high speeds.

To soar or glide.

To travel by airplane.

Of a surface: flat or level.

A level or flat surface.

(geometry) A flat surface extending infinitely in all directions (e.g. horizontal or vertical plane). Category:en:Surfaces

(anatomy) An imaginary plane which divides the body into two portions.

A level of existence or development.

A roughly flat, thin, often moveable structure used to create lateral force by the flow of air or water over its surface, found on aircraft, submarines, etc. (Compare airfoil, hydrofoil.)}}

Any of 17 designated ranges of 2¹⁶ (65,536) sequential code points each.

A tool for smoothing wood by removing thin layers from the surface.

An airplane; an aeroplane.

(entomology) Any of various nymphalid butterflies, of various genera, having a slow gliding flight.

(entomology) The butterfly Bindahara phocides, family Lycaenidae, of Asia and Australasia.

(countable) A deciduous tree of the genus Platanus.

(Northern UK) A sycamore.

To smooth (wood) with a plane.

To move in a way that lifts the bow out of the water.

To glide or soar.

Any tree of the genus Platanus.

A surface, real or imaginary, in which, if any two points are taken, the straight line which joins them lies wholly in that surface; or a surface, any section of which by a like surface is a straight line; a surface without curvature.

An ideal surface, conceived as coinciding with, or containing, some designated astronomical line, circle, or other curve; as, the plane of an orbit; the plane of the ecliptic, or of the equator.

A block or plate having a perfectly flat surface, used as a standard of flatness; a surface plate.

A tool for smoothing boards or other surfaces of wood, for forming moldings, etc. It consists of a smooth-soled stock, usually of wood, from the under side or face of which projects slightly the steel cutting edge of a chisel, called the iron, which inclines backward, with an apperture in front for the escape of shavings; as, the jack plane; the smoothing plane; the molding plane, etc.

Without elevations or depressions; even; level; flat; lying in, or constituting, a plane; as, a plane surface.

To make smooth; to level; to pare off the inequalities of the surface of, as of a board or other piece of wood, by the use of a plane; as, to plane a plank.

To efface or remove.

Figuratively, to make plain or smooth.

Of a boat, to lift more or less out of the water while in motion, after the manner of a hydroplane; to hydroplane.

An aircraft that has a fixed wing and is powered by propellers or jets;

(mathematics) an unbounded two-dimensional shape;

A level of existence or development;

A power tool for smoothing or shaping wood

A carpenter's hand tool with an adjustable blade for smoothing or shaping wood;

Cut or remove with or as if with a plane;

Travel on the surface of water

Make even or smooth, with or as with a carpenter's plane;

Having a horizontal surface in which no part is higher or lower than another;

Yes, polygons of any shape and size can exist within the infinite expanse of a plane.

Vertices are the points where the sides of a polygon meet and are crucial for defining the shape of the polygon.

A plane is a flat, two-dimensional surface that extends infinitely in all directions.

A plane has no boundaries and extends infinitely, whereas a polygon has a closed boundary formed by straight lines.

Yes, all polygons are planar figures as they lie on a single flat plane.

No, a plane is an idealized concept used in mathematics and does not have a physical form.

A polygon is defined as a two-dimensional geometric figure with a finite number of straight sides that enclose a space.

Yes, there are many types of polygons, ranging from triangles to polygons with many sides, categorized as regular (equal sides and angles) or irregular.

Planes are important for theoretical studies and for plotting geometric figures and coordinates.

Both a plane and a polygon are two-dimensional, but a plane is unbounded while a polygon is bounded.

Planes are mainly theoretical and used in higher mathematics and physics, while polygons have practical applications in various fields like architecture and computer graphics.