Art Deco GeoMetrica: Checkered Hyperbola
This post is about how I came up with my pattern, called Checkered Hyperbola, for Art Deco Geometrica.
SPACE
Richard Lasam
7/16/20252 min read
The 3rd pattern of year 2024 was more a doodling at the start rather than a formal pattern. Exploring how mathematics can be visually applied, I drew this pattern on the assumption of an equation (left).
It’s an addition sequence set to the x and y grid of the 9 x 9 square of the base square. Moving from 1 point and drawing a straight line to the other point. The series of straight lines, drawn from one point to another point, creates a curve, even though it’s all straight lines. This creates a sort of hyperbola in the pattern. Wanting to create more emphasis, I added contrasting alternating black shapes and empty shapes to further the impression of the curve. This pattern, “Checkered Hyperbola,” looks like this as a digital pattern:
The pattern kind of reminds me of a checkerboard actually, but skewed and morphed in a way that a 3-dimensional illusion is achieved.
This particular pattern was very amusing to draw, as it was something I was already doodling in my notebooks during my younger years. The mystery of what shapes can come out of the paper by following a set of rules to draw lines or curves creates a mental satisfaction in me that allows me to collect my thoughts while I do these things.
Iterated, this pattern looks even more interesting:
The curves now create a wave effect, along with a mild circular shape to the pattern. This one can be found here, among other iterations.
If you like this pattern and want to peruse more similar designs, you can support me by visiting my Adobe Stock contributor page, where the iterations of the patterns can be found, looking at my Redbubble shop, or going to my YouTube channel to see me draw these patterns!
The previous pattern I talked about, Four Point Vectors, can be found here.