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parametric

A collection of 11 posts

Spiraling Vaux’s Swifts

Spiraling Vaux’s Swifts

Just like solar eclipses, Vaux’s swifts really are a life experience. Watching them funnel into a chimney in a vortex of flitting feathers is just amazing. I had the wonderful experience of watching them funnel into the chimney at dusk in Salem, Oregon (my home). So here is the next math bird in the

Locomotive Rose Art

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 =

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

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 visualiz

Laced Reflections

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 […]

Code of the Rings

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 ch

Goodbye Red Oak

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 […]

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.

Random Math Poetry

Random Math Poetry

I think the challenge here is to find the math that can fit the poetry… If you want a browser tab version, click here. You can also edit it and change the words as well. Below is the codepen: See the Pen OJNKQmE by Sophia (@fractalkitty) on CodePen.

Parametric Play!

Parametric Play!

Here are some simple animations with parametric equations. What you see below is a function and its inverse. If you click, you will get another semi-random equation. See the Pen qBZgZvW by Sophia (@fractalkitty) on CodePen.

Parallel to a Parabola

Parallel to a Parabola

I received a question today about what curve is parallel to a parabola. I sat for a minute and realized that it wasn’t another parabola. It required parametric equations (at least if you wanted to keep it simple). That of course lead to code: See the Pen jOqzMJb by Sophia (@fractalkitty) on CodePen.

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Sophia

Mathematics educator and creative coder exploring the beauty of mathematical concepts through interactive visualizations and playful learning.

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