math is fun

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! …

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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.

Foggy Orbits

After covering the unit circle today, I created Foggy Orbits as a quick sketch. Below is the CodePen and above is a GIF. I hope to add this to pre-calc activities with parametric equations eventually. See the Pen jOrJezv by Sophia (@fractalkitty) on CodePen.