Limits In Rubber Sheet Geometry

Why topology is called rubbersheet geometry.

Limits in rubber sheet geometry.

The placer is a geometry manager for tk. It provides simple fixed placement of windows where you specify the exact size and location of one window called the slave within another window called the master the placer also provides rubber sheet placement where you specify the size and location of the slave in terms of the dimensions of the master so that the slave changes size. In this chapter we will learn the basic words and expressions of this. 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.

And maybe visualizing stretched and deformed open discs might help get you used to the idea. Concept of topology rubber sheet geometry topology does not distinguish between a circle and a square but it does between a circle and a figure eight. Astm s rubber standards are instrumental in specifying testing and assessing the physical mechanical and chemical properties of a wide variety of materials and products that are made of rubber and its elastomeric derivatives. For example a square can be deformed into a circle without breaking it but a figure 8 cannot.

It is sometimes called rubber sheet geometry because the objects can be stretched and contracted like rubber but cannot be broken. Topology studies properties of spaces that are invariant under any continuous deformation.