Rubber Sheet Geometry Definition

A möbius strip a surface with only one side and one edge.

Rubber sheet geometry definition. Such shapes are an object of study in topology. For example a square can be deformed into a circle without breaking it but a figure 8 cannot. Topology studies properties of spaces that are invariant under any continuous deformation. The definition of a rubber is someone who massages something or slang for a condom.

Btw i also fully understand your proof there is no need of extra dimension for a distortion to exist. It is sometimes called rubber sheet geometry because the objects can be stretched and contracted like rubber but cannot be broken. A circle can be stretched into a square with a rubber band but you can t stretch a figure eight into a circle without tearing it. Epdm sheet rubber is a versatile blended sheet epdm sheet rubber is a versatile blended sheet composed of ethylene propylene diene monomer and styrene butadiene rubber.

A circle made out of a rubber band can be stretched into a square. This is very bad analogy everyone should try to remove. Topology has been called rubber sheet geometry. The rubber sheet is fully wrong since it is the result of earth s gravitation perpendicular to the rubber sheet.

Topology branch of mathematics sometimes referred to as rubber sheet geometry in which two objects are considered equivalent if they can be continuously deformed into one another through such motions in space as bending twisting stretching and shrinking while disallowing tearing apart or gluing together parts. An elastic substance that is obtained by coagulating the milky juice of any of various tropical plants as of the genera hevea and ficus is essentially a polymer of isoprene and is prepared as sheets and then dried called also caoutchouc india rubber. It achieves an ideal balance to create an all purpose weather resistant rubber. Rubber sheet definition is a sheet of rubber or a cloth coated with rubber for use especially on a hospital bed or a child s crib.

Rubber sheet geometry topology does not distinguish between a circle and a square but it does between a circle and a figure eight. Rubber definition is one that rubs. Noun an example of a rubber is a massuese.