Creating A Logo From Probability Distributions

When we started Affine Design, we wanted to create a unique logo ourselves and explored ways to generate shapes. The method we eventually chose used a combination of probability distributions, polar coordinate transforms, and custom color scales to create a two-tone azimuthally symmetric symbol. The following provides a high-level overview of our logo generation process.

We started by defining four arbitrary Weibull probability distributions. We could have used any curve, but we chose the Weibull distribution due to its usefulness in a wide range of applications (It is often used in failure analyses, weather forecasting, modeling biological phenomena, and more). The curves were used to generate a surface, as seen below. 

The surface was then wrapped around the central origin and cycled back and forth.

Cycling the surface multiple times creates an array of azimuthally symmetric shapes.

Finally, a custom colormap was applied to the surface to effectively posterize the plot. We chose the three-lobe version for our logo.