Answer
In topology, the shapes can be twisted, stretched, bent and shrunk, while in Euclidean geometry, the shapes are rigid and unchanging.
Work Step by Step
Topology is a branch of modern geometry that has a different approach of looking into the shapes. According to this branch of geometry, the shapes are not rigid. The shapes can be stretched or shrunk to make it into another shape.
A factor that classifies the objects in topology is the genus of the object. It is the number of holes in the object or the number of complete cuttings that can be made in the object without rendering it into two pieces.
On the other hand, in Euclidean geometry, the shapes are rigid and they cannot be changed into other shapes.
