# Fractal Kitty

## In a Loop

Sometimes you just feel like you are in a loop…

## Folding Origami

Need a pun? This is an origami I-koi-sahedron. This code is from Day 0 to kick off my 101 Days of Creative Code. I will post GIFs to the blog as they are created, but the coding will be done as pages rather than posts ( I didn’t want to spam my followers).

## 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!…

## 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.

## 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…

## Code of the Rings

While tinkering with my tree ring code, I created a simpler yet mesmerizing adaptation. Essentially I added a loop, some random multipliers, and changed to radian mode. Sine and cosine are so incredibly beautiful and full of infinite play and wonder. Please play with the code below by clicking to change the equation. If you…

## Goodbye Red Oak

I often run for mental downtime and stress-relief. On a recent run, I found one of my favorite trees blown over. This tree grew in a cemetery with broad branches and roots consuming the neighboring headstones. This red oak had brought me so much joy. Before I could get to the stump, the park had…

## The Point? Dimensions

“The Point of Evolution” started as a Mathober doodle and led to this GIF. Dimensions are fun – what do you see? what do you notice? Side Note: I talk about dimensions when covering combining like terms. One analogy – A 3D banana can’t combine with a 2D banana (or whatever noun seems to go…

## From the Void

Hexagon and parametric spiral play. I find myself doodling with code lately more than with my pen. I have one more scripting algebra post, but feel like I have a much larger library for a pre-calc set of activities. Thoughts? The GIF is too large for this site or twitter, so I stashed it on…

## Expanded

With commas: Without commas:

## Foiled by a Foil

I couldn’t resist this GIF for my algebra students. Foiling can be such fun!

## Moiré GIF: by Opal

My daughter started playing with moiré in procreate after I fiddled with it in a previous post. You know we breathe math in our home. She wanted to share:

## Menger Sponge Cat in Space

High res: Low res:

## Hex-a-Sierpinski

So I doodled and was pleasantly surprised when Sierpinski-like triangles formed. I am sure that a million people have discovered this before me, but I felt like I found a magic portal. And that lead to coding (of which is currently a mess, and I will post later). And one more version:

## Coffee = Donut

I know it is an obvious one, but it’s what I doodled tonight…

I doodled this GIF after two days of painting the canvas below. I think I am in the process of preparing for my fall classes and students. Art is definitely an outlet – especially when it’s math + art.

## Isometric Yarn GIF

I am working on my GIF skills… Maybe a 52-weeks of hands-on math idea for next week.