project guides          websites        art pages          home

Leslie Lewis

Mathematical Art, Web Design, Teaching Mathematics with Art

Pascal's Triangle and Fractals

A fun excursion is to challenge students to find multiples of 2, 3, 4, etc in Pascal's triangle and color them. This is also an opportunity to introduce modular math. If a student is trying to find the multiples of 7 in Pascal's triangle, it is less laborious to use the numbers 1, 2, 3, 4, 5, 6, and 0 and do modular addition then to use the actual values of Pascal's triangle.

Multiples of 2, Pascal's triangle

Multiples of 2 colored into Pascal's Triangle

Pascal's 7

Multiples of 7

Multiples of 4 in Pascal's Triangle

Multiples of 4

Fractals and Chaos theory are relatively new topics in mathematics. However, students easily appreciate the meaningfulness of chaos study in our world. A simple introduction to these concepts uses fractal art.

Koch's snowflake

Koch's Snowflake

Fractal fern

Fractal Fern

Sierpensky's gasket

Sierpenski's Gasket

project guides         websites         art pages         home