# Anika Harper

I am a student who enjoys math, art and programming. In addition, I often combine these three things by programmatically generating mathematical art. I am also interested in using geometry, algebra, symmetry groups, and some other areas of math to assist with creating art.

Planetary Polygons

30 x 30 cm

Digital Print

2018

This is an artwork based on a concept I was experimenting with during the summer, with each planet shown in the print being generated using that concept: take a polygon with n sides, then connect the points using the triangular number sequence (connect point (1) with point (1 + 2), point (1 + 2) with point (1 + 2 + 3), point (1 + 2 + 3) with point (1 + 2 + 3 + 4), etc.) However, each planet is unique despite using the same formula, as they all use a different value of n (left: n = 303, middle: n = 500, right: n = 701).

To make it easier and faster to generate the planets, I wrote a computer program to do it for me; this makes it easy to have n equal to higher numbers, making it easier to find out how the pattern works.

To make it easier and faster to generate the planets, I wrote a computer program to do it for me; this makes it easy to have n equal to higher numbers, making it easier to find out how the pattern works.

Bones and Arrows

30 x 30 cm

Digital Print

2018

This piece (based on symmetry groups) uses brightness to depict shape, with five shades of red including the background. I used the darker shades to create the main shapes (arrows coming together to form a bone-like shape, and flowers in between), and the brighter shades to add some detail. I used the basic bone-and-arrow shape to clearly show certain square borders in this wallpaper group; each square section contains an area with four-fold symmetry, with each square section being congruent to others despite sometimes being reflected.