# Assuming Complex Shape a Simple Shape. What is this called?

by chiako
Tags: assuming, called, complex, shape, simple
 P: 11 What topic in mathematics would something fall under if you assumed a complex shape to be a more simple shape? Such as assuming a recliner is actually a cube, or a tree it actually a cone or prism, or a tire is actually a cylinder? Would this be topology, or something else? Simple geometry?
 P: 4,568 Hey chiako and welcome to the forums. This is essentially what topology does. Topology allows you to describe continuity in a way that deals with deformations of an object or representation. So yes when you have a situation where you deform something but can't change the topology you can't say turn a donut into a ball because that would mean getting rid of the hole. This isn't really a rigorous explanation but I think you get the idea. Again with something like contuinity, if you deform a continuous thing without change its topology it should stay continuous. There are many ways of describing this concept in a variety of contexts. Also there are different kinds of topologies applied to a variety of fields which have their own ideas and nonclamenture.