Artists

Melissa Houck

Actuary that dabbles in mathematical art

Philadelphia, Pennsylvania, USA

mhact7@gmail.com

Statement

I enjoy reading “popular math” books that bring mathematical concepts to life in layman’s terms. Two books I revisit frequently are 'The Dictionary of Curious and Interesting Geometry' by David Wells, and 'Curves and Their Properties' by Robert C. Yates. These books appeal to my fascination of transforming (“Bridging!”) numbers and formulas into graceful, elegant curves. After using Excel to reproduce the various kinds of 2D curves discussed in these books, I played with the idea of mixing the x’s from one curve with the y’s from another or using the y’s from one curve as the x’s and the y’s from another as the y’s, etc. to come up with entirely new curves.

Artworks

Image for entry 'Astroid Curve Blending Wheel'

Astroid Curve Blending Wheel

30.0 x 30.0 x 0.63 cm

photo print, mat board, cake rounds

2025

I used Excel to create known curves. I then “mixed” the x’s and y’s from two different curves to create a new family of curves. Each combo of 2 curves can be combined in several different ways, but only 3 or 4 of those are distinct and interesting. To make this more interactive and fun, I created a wheel showing a curve in the middle. As you turn this wheel, it displays two pictures in addition to the middle curve – one showing the curve with which the middle curve is blended, and one showing the group of 3 or 4 new curves that result. Combining photo prints with matboard and cake rounds, I created a curve blending wheel that blends the astroid with the besace, cranioid, ophiuride, and Cayley’s sectic curves.
Image for entry 'Hippopede Curve Blending Wheel'

Hippopede Curve Blending Wheel

30.0 x 30.0 x 0.63 cm

photo print, mat board, cake rounds

2025

Analogous to the Astroid Curve Blending Wheel discussed above, I created a Hippopede Curve Blending Wheel that blends the hippopede with the cycoid of ceva, capricornoid, deltoid, and cubical parabola curves.