Rubber Sheet Geometry Definition

This is very bad analogy everyone should try to remove.

Rubber sheet geometry definition.

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. It achieves an ideal balance to create an all purpose weather resistant rubber. Topology has been called rubber sheet geometry. The definition of a rubber is someone who massages something or slang for a condom.

For this reason epdm material is an excellent medium for outdoor uses. Rubber definition is one that rubs. 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. Such shapes are an object of study in topology.

Btw i also fully understand your proof there is no need of extra dimension for a distortion to exist. The rubber sheet is fully wrong since it is the result of earth s gravitation perpendicular to the rubber sheet. 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. 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 is sometimes called rubber sheet geometry because the objects can be stretched and contracted like rubber but cannot be broken. An example of a rubber is a trojan brand condom. Rubber sheet geometry topology does not distinguish between a circle and a square but it does between a circle and a figure eight. A möbius strip a surface with only one side and one edge.

Topology studies properties of spaces that are invariant under any continuous deformation. In a topology of two dimensions there is no difference between a circle and a square. For example a square can be deformed into a circle without breaking it but a figure 8 cannot.