Today, many people think of the arts as being very distinct from mathematics and science. But, in fact,
mathematics and the arts have a rich history together. Many of the great artists in history have also made
contributions to mathematics and science. Choose one of the topics listed below to explore connections
between art or music and mathematics.
Explore some connections between mathematics and art. This could include an investigation of the use of
symmetry and self-similar structure, fractal geometry, the Fibonacci sequence and Golden Ratio. For
example, describe how the Fibonacci sequence is constructed. Explain what the Golden Ratio is and give
an example showing how it is calculated. Discuss how the Golden Ratio is connected to the Fibonacci
sequence. Give at least three instances where the Fibonacci sequence or the Golden Ratio appears in art,
architecture, or nature.
Explore some connections between mathematics and music. Discuss how mathematics is related to
musical tones and scales. Discuss how the long historical connection between mathematics and music has
deepened in the digital age. Explain why we have so many choices for digital music, such as AAC versus
MP3 or 128 kbps versus 256 kbps, and describe how music is encoded.
– Independent research on the topic. Cite your sources. You should include at least two sources of
information for your project.
– Paper will be 3 pages in length, typed, use 1 1/2 line spacing, 12-14 pt font.
-Include graphs and/or data tables to support your work. These do not count as part of the 3 pages written
A fellow student is your intended audience.