Abstract :

Classical geometry deals with the objects having integer dimensions. However, many natural phenomena are better described using dimension between two integers. While a straight line has dimension $1$, a fractal curve has dimension between $1$ and $2$. There is a lot of different types of fractals. In this talk, I will present the construction of fractals generated from iterated function system and give the construction to find the dimension of those fractal object. Some well known examples of fractals are the Cantor set, Sierpinski triangle etc.