Rubber Sheet Geometry Definition

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.

Rubber sheet geometry definition.

Topology has been called rubber sheet geometry. Rubber sheet geometry topology does not distinguish between a circle and a square but it does between a circle and a figure eight. It achieves an ideal balance to create an all purpose weather resistant rubber. For example a square can be deformed into a circle without breaking it but a figure 8 cannot.

Rubber definition is one that rubs. 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 example of a rubber is a trojan brand condom. Noun an example of a rubber is a massuese.

In a topology of two dimensions there is no difference between a circle and a square. Topology studies properties of spaces that are invariant under any continuous deformation. 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. This is very bad analogy everyone should try to remove.

A möbius strip a surface with only one side and one edge. A circle made out of a rubber band can be stretched into a square. 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. For this reason epdm material is an excellent medium for outdoor uses. The definition of a rubber is someone who massages something or slang for a condom.