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A collection of 18 posts

Borb Generator

Sometimes you just need a borb. They make good digital stickers, profile pics and more. I created the Borb Generator to make random borbs using pointillism in p5js. There are over 900,000 points in each Borb. Here is a link on OpenProcessing to the Borb Generator to make your own. Refresh to code to

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.

Foiled by a Foil

Foiled by a Foil

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

Moiré GIF: by Opal

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:

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.

Menger Sponge Cat in Space

Menger Sponge Cat in Space

High res: Low res:

Hex-a-Sierpinski

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…

a gasket gets drawn then popped

Popping Apollonian Gasket

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.

a moire sketch with lines all going to one point

Moiré Play!

Moiré is an interference pattern that can occur in physics, photography, art, math, and more. As a photographer and mathematician, I have always enjoyed seeing these artifacts emerge. Today I played with some Moiré animation for fun in p5.js. See the Pen Moire_Play by Sophia (@fractalkitty) on CodeP

a gif of circle popping that have diameters of fibonacci numbers

Popping Fibonacci

a cat in orbit around a star with a helmet on and spacesuit

52 Weeks of Math Activities

Week 44: Conics, Orbits, and Projectile Motion

You don’t have to be in high school math to play with conics, orbits, and projectile motion. This week (or month), learners can play with projectile motion, orbits, and conic sections with the activities below: 1.) Slicing cones * Learners can mold cones with clay and slice to see the

geometric circle art with blues black and gold

52 Weeks of Math Activities

Week 43: Circles and Art

Circles are so much fun! This week, I encourage learners to get out their compasses or a circle to trace and start making patterns on paper. Patterns with circles can start simple, but can also get really complex. You can combine your compass with a straight edge and get amazing

a sunflower making a heart

52 Weeks of Math Activities

Week 36: Golden Angle Scavenger Hunt and Drawing Phi-Nominal Phi-lowers

The Golden ratio appears in nature all around us. Flowers and other botanicals often grow at an optimal (Golden) angle of about 137.5 degrees. For the 52-weeks of math activity, I encourage learners to seek out the Golden angle on a scavenger hunt. Take pictures or sketch in a nature journal the pin

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 hyperbolic yarn lovey with yellows greens and blues

52 Weeks of Math Activities

Week 35: Yarn-it-up Hyperbolic Space

This week let’s play with yarn! We are going to play with hyperbolic space. You will need some yarn and a crochet hook. You don’t need to know how to crochet, but you will need a little patience and a lot of desire to play. These don’t have to be perfect, and “mistakes” just add […]

a cat sleeping curled up next to a similar shaped donut

It’s not just Coffee Cups…

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Sophia

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

Mathematics

Education

Creative Coding