Of Rising Scholars

Fall 2023

Katelyn will be presenting at The Symposium of Rising Scholars on Saturday, September 23rd! To attend the event and see Katelyn's presentation,

Go to Polygence Scholars page
Katelyn Waugh's cover illustration
Polygence Scholar2023
Katelyn Waugh's profile

Katelyn Waugh

Class of 2024Stevenson Ranch, California



  • "How do fractals appear in art, science, and nature?" with mentor Maria (Sept. 15, 2023)

Project Portfolio

How do fractals appear in art, science, and nature?

Started May 9, 2023

Abstract or project description

Scientists and mathematicians have long been intrigued by the beauty and significance of fractals. Fractals are infinitely repeating geometric patterns that show up in all aspects of life, whether that is mathematics, art, or science. They stem from the process of reiterating a simple mathematical formula in order to plot complex and self-similar geometric shapes. In particular, the Mandelbrot and Julia sets have been depicted on complex planes to reveal forever repeating shapes that exceed the topological dimension. Fractals are images of dynamic systems, and they have a relationship with chaos theory in that they form a static representation of chaos.