\section{Conclusions}

The WPI Projects and Registrar's Office states that the objective of the IQP
is to enable WPI graduates to understand how their careers will affect
the larger society of which they are a part.  It should challenge
students to identify, investigate, and report on a topic examining how
science or technology interacts with societal structures and values.

This project explored the interaction between the mathematics of fractals and the institution of art.
Advances in computing technology have led to the rapid growth of fractals as a research topic, and to the inclusion of
fractal images and methods in art.  We investigated how fractals are changing art and how fractal art reflects society today.
Studying these relationships has made us more aware of the possible implications of future technological developments 
to the society in which we live. This will make us more aware of the societal implications
of the work we do throughout our careers.

In working on this project, we came to an important conclusion: it takes an artist to create fractal art.  Although computers are 
very good at performing the iterative mathematical calculations required to generate a fractal image, they do not have
a sense for what makes an image a true piece of art.  Images generated solely by a computer, although interesting, can seldom
be considered art.  These images can, however, provide a good starting point for the artist.  Just as a camera is an invaluable
tool for the photographer, the computer is an invaluable tool for the fractal artist.
In addition to being tools in the development of art, computers and fractals allow more people to participate
in the creation of art.  Many people who do not have the dexterity of hand required for painting or sketching find
that they can express themselves artistically through the creation of fractal art using computers.  In this way scientific
and technological advancement has opened the door for many people to participate in a rewarding social institution. We feel
that fractals have introduced a new paradigm to the world of art.

Our impression of this project has been positive.  Through our research we have learned a lot about the mathematical
basis for fractals and the many different ways of using fractals to generate art.  Additionally, we have observed the way 
in which a new scientific discovery can affect unexpected areas of society.  By studying how mathematical
advancements in fractals have affected the world of art, we were made more aware of how technology and science can affect our
world.  As we go into the work force we will bring this awareness with us, hopefully allowing us to do work that is
not only scientifically sound, but also beneficial to the society in which we live.
