trigonometry - Fractal Kitty

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trigonometry

A collection of 14 posts

A blue heron at night with the moon large and behind. The heron is facing left and not extended and only shoulder up visible.

Heron’s Formula

Maybe we should start naming all math formulas and theorems after birds. This one wouldn’t have to change under this new renaming… I do love being able to find an area of a triangle given the lengths of its sides. Heron’s formula information: https://mathworld.wolfram.com/HeronsFormula.html [https:/

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

Coffee Darkness vs. Daylight

Coffee Darkness vs. Daylight

Because it’s true…

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.

a ball rolling on a sine curve then falling through

Not a Good Sine

black paint on paper made from a pendulum

52 Weeks of Math Activities

Week 49: Pendulum Labs

Pendulums are wonderful physics toys that are great for exploring periodic functions. For week 49, I encourage learners to get out some string, weights, and stop watches. Here are some ideas for playing with math and pendulums: * Start with a string and a weight to observe basic pendulum motion. Nuts,

a strange attractor drawn like silk with turquoise lines and dots

I’m Attracted to Attractors

So many plots and mathematical musings throughout my life have brought on a sense of artistic beauty and awe within my being. In the windowless halls of engineering firms I have smiled at harmonics, or in a homeschooling room squealed in glee when I stumbled upon Pisano periods by trying to play Fib

$a cat drawn from catenary curves with its equation and fractal kitty sitting close by$

Kitty likes Catenary Curves

a sine diagram with formulas where the wave is a cat tale attached to a cat

A Sine of Kitty

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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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