# GIF

## 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 …

## 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!