functions - Fractal Kitty

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functions

A collection of 16 posts

Code for Two-Button Calculator

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

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.

Transformed Magic Squares

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

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…

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 […]

Coffee Temperature

Coffee Temperature

If you ever need a piecewise function, this is mine. I redid this from my 2x3in Mathober doodle (I added the overheated peak).

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 […]

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

SA8: Odd and Even

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

SA7: Directrix and Focus

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 […]

SA6: Parabola Art

Scripting Algebra

SA6: Parabola Art

This Scripting Algebra (SA) activity uses parabolas to make generative art in p5.js. Learners will investigate existing code to analyze changes in parabolas, and other features of the output. This activity assumes that the skills from SA1-SA5 were introduced (if-else, logical operators, random(), te

SA5: Systems of Equations

Scripting Algebra

SA5: Systems of Equations

This Scripting Algebra (SA) activity will play with systems of linear equations in p5.js. In this activity, a system of two random lines will be generated and the intersection (or solution) of those lines will be calculated to make generative art. It is recommended to introduce creating functions if

a ball rolling on a sine curve then falling through

Not a Good Sine

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

Kitty likes Catenary Curves

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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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