Answer
A genus is an integer representing the maximum number of cuttings along non-intersecting closed simple curves without rendering the resultant shape into two pieces. It can also be referred to the number of holes in the object.
Work Step by Step
Topology is a modern branch of geometry in which shapes, unlike Euclidean geometry, are not rigid. In topology, shapes can be twisted or stretched to form another shape. The objects are classified by the genus, which is the number of holes in the object. Objects having the same genus are referred to be topologically equivalent.
The number of cuts that can be made in that object without rendering that object into two pieces is known as its genus. For example, a cube and a sphere both have the same genus, that is, zero because the number of cuts that will not split them into two pieces is zero.
