# math

## Locomotive Rose Art

The equations used to produce these plots are in the family of rose curves. This particular form is composed of two curves added together. It almost feels like there is some locomotion happening in the visualization, and it is fun to think about the gears and shafts might that make this pattern. r = a …

## Parabolic Beams

I love thinking of parabolas as being formed with a directrix and focus. Coming from a background in trajectory analysis, I find the abstract relationships of the curve to the point and line beautiful. When a light shines through the focus of a parabolic mirror, the light reflected is orthogonal to the directrix – WOW! …

## Gold-Phi-nch

This was inspired by my backyard Gold-phi-nches (goldfinches) that cluster on my sunflowers, brighten my days, and provide hours of entertainment. As someone who has been isolated pre-covid, I am so grateful for the joy that birds bring me. I imagine the flocks propagating sunflowers far and wide to spread the Phi-lowers’ beauty everywhere. Side-note: …

## Blue Flames

This code was generated by playing around with one of the p5.js examples. It translates and rotates using parametric equations each frame. Codepen is below (it may not run well on some machines). See the Pen blueFlame by Sophia (@fractalkitty) on CodePen.

## Transformed Magic Squares

I got a request from a twitter friend (Sara Resvi) to create a visual for transforming magic squares. A learner can see how one solution is many (or vice versa). Here is what I put together in an afternoon. Click the numbers to change them. Try to find solutions where the rows, columns and diagonals …

## Parametric Waves Morphed into Unstable Charcoal

Have you ever wished that you had charcoal that is made of particles that randomly leave and come back? Wish the reference frame would rotate so down is up, but not always? Well now you have what you have always wanted – Unstable Charcoal! I created this after playing with a parametric wave visualization. This …

## Coffee Darkness vs. Daylight

Because it’s true…

## Laced Reflections

My mind was on snowflakes tonight, which brought me down a rabbit hole of reflections, lace, and play. The code here is simple but fun. Enjoy making snowflakes, lace, stars, or whatever comes to mind. If you wish to fork the code or play it is here. My CodePen is below. Press the spacebar (or …