coding

A collection of 61 posts

coding

Folding Origami

Need a pun? This is an origami I-koi-sahedron. This code is from Day 0 to kick off my 101 Days of Creative Code. I will post GIFs to the blog as they are created, but the coding will be done as pages rather than posts ( I didn’t want to spam my followers).

coding

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 =

coding

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

coding

Code for Two-Button Calculator

A two-button calculator can only perform two operations (like multiply by two and add five). The Global Math Project is a wonderful resource for math learning and play and has a great resource for two-button problems in this Global Math Project PDF. Another variation of this sort of problem is done

coding

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.

coding

Transformed Magic Squares

I got a request from a twitter friend (Sara Resvi) to create a visual for transforming magic squares. A learner can see how one solution is many (or vice versa). Here is what I put together in an afternoon. Click the numbers to change them. Try to find solutions where the rows, columns and diagonals

coding

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

coding

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 […]

Math Finds

Math Finds – Complex Analysis Resource

This is the first in a new category, Math Finds, on Fractal Kitty. I am a believer in growth-mindset and lifelong learning. Peoples’ willingness to share and educate allow for exposure to a plethora of topics and interests. This post is about a wonderful opensource book I found by Juan Carlos Ponce

coding

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

coding

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 […]

coding

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.

coding

Swirled Series Challenge

I decided to join Craig S. Kaplan’s Swirled Series Challenge. I played the last two nights and have some draft GIFs below. I don’t have a ton of time, but it’s stuff like this that relaxes me at night. I look forward to seeing what people come up with. I still need to export a […]

coding

Draft of Knotty Math Tile Code

Here is a rough draft of Knotty Math tile code. Code was adapted from Shaw Wan’s tangram code on CodePen. I am hoping to adapt more tile designs for play. This will not work on touch screens/phones – I’ll have to contemplate an app for that. I am just learning… Drag the tiles below and […]

coding

Mod Fibonacci

Finite Melodies for an Infinite Sequence A few years ago I asked myself how I could play the Fibonacci sequence on the piano. I found that if I divided the Fibonacci sequence by the number of keys I wished to play, I got a set of numbers that would infinitely repeat. I tested this observation […]

coding

Laser Pointer Googly Eyes

I am glad I can amuse myself. This is a simple script that I may integrate into an Algebra class for looking at points on a line. If you want a webpage version for students, click here. If you want code, see below. Click to make more eyes, and you might get freaked out if […]

coding

Fractal Ink to Code

After drawing the fractal prompt today for Mathober, I played around to make it in p5js. Below is the Codepen to play with. I almost feel like it should have a surprise when they align…maybe for another day. See the Pen fractal_Mathober by Sophia (@fractalkitty) on CodePen.

coding

Lune of Hippocrates Clock

After drawing the Lune of Hippocrates yesterday for Mathober, I played around to make a Lune clock today. Below is codepen (p5 is here). I use a lot of these small projects for students to play with in an hour of code group. This one may not be as popular as projecting memes and cats […]

Additional Materials

Fantasy Maps to Planets

For those that have created fantasy maps using previous posts here, in classes, or elsewhere in Worldbuilding, D&D, or art, I created a small script to see your maps as spherical planets. You can click to rotate and move the mouse off the canvas to have rotation. You may want to draw a map that […]

coding

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.

Scripting Algebra

SA9: Quadrant Play

This Scripting Algebra (SA) activity looks at quadrants, mouse location, and interactive art p5.js. This activity assumes that the skills from SA1-SA8 were introduced (if-else, logical operators, random(), text(), rect(), variables, loop, pow, for, functions, translate, modulo, etc.). This activity

coding

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.

coding

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.

Scripting Algebra

SA8: Odd and Even

This Scripting Algebra (SA) activity uses even and odd polynomials to create generative art in p5.js. This activity assumes that the skills from SA1-SA7 were introduced (if-else, logical operators, random(), text(), rect(), variables, loop, pow, for, functions, translate etc.). This activity will in

Scripting Algebra

SA7: Directrix and Focus

This Scripting Algebra (SA) activity uses parabolas again to make generative art in p5.js. In SA6, we used the f(x) = ax2+bx+c form for parabolas. In SA7, we are going to take a look at the directrix and focus by using the form: (x-h)2 = 4p(y-k). This is one of my favorite ways to look […]