Fractal Kitty

Sign in Subscribe

circles along a wavy curve with random radii and shading is alternating between white and blue gradients.

Walking Ripples

Over the last week I have been drawing circles along paths and then shading them with 2 colors using random numbers to determine their radii. For example, the one on this card was drawn with 10 evenly spaced circles along a line using the random radii of 48,30,70,

A crow sits upon a cliff dangling a moon in the darkness from a thread of light. the moons light glows illuminating some of w

mathober 2024 sketches

It’s mathober! I will be updating this page with my sketches (in procreate and code for this year. Procreate sketches: (not all will be done this month – they take longer): P5js sketches: The code is on my codepen collection here.

Mathober 2024

Mathober is just around the corner, and I can’t wait to see everyone’s creative take on this year’s prompts! If you’ve never participated before, now’s the perfect time to jump in! The goal of Mathober is simple: have fun, learn, grow, and play with the prompts. No pressure! There are no rules – par

randomness – a generative zine

randomness – a generative zine

I coded a generative zine to bring to XOXO 2024. It is different every time it loads with a sampling of p5.js sketches. Each zine has hundreds of thousands to millions of generated shapes and points using random numbers. The github is here (the code is slow to run and painful to read). If you […]

many lemniscates overlapping to make a narrow -wide-narrow shape almost like an ornament - black an white

Curve

I made Curve, a coloring book, to bring to XOXO 2024 this week. If you’d like to print/play: See the Pen Curve Zine by Sophia (fractal kitty) (she/her) (@fractalkitty) on CodePen.

image of game with highest tile being 1597.

SumFib

After playing simple yet addictive games like Threes and 2048, I wondered how the gameplay mechanics would translate using Fibonacci numbers, which introduce a unique twist. I wrote a prototype in p5js. You can swipe on mobile or use arrows/WASD on desktop. I did this in about a day and unit tested

Carnival of Mathematics 225

Carnival of Mathematics 225

Welcome to the Two-Hundred and Twenty-Fifth Carnival of Mathematics. Let’s start with facts about 225: Octagonal numbers are always fun: And then we can always think in gradians for a hexadecagon where the outside angles shown are 225 gradians (202.5 degrees or 1.125π radians). (Thanks David JONES f

Rows of snowy owls paired on repeating logs with mountains in the background with a Koch snowflake.

A blizzard

A collective noun for snowy owls is a blizzard. I doodled Koch snowflakes with a blizzard of these superb owls. They hunt day and night and are an utter delight to observe.

Genuary 2024

This year’s Genuary code is here (I will update as I go through the prompts). My codepen gallery is here. I am hoping to play with symmetry the entire month. Day-31 – generative music (this runs slow on mobile and some machines) Day-30 – shaders Day-29 – Signed Distance Functions (if we keep trying

haiku without words

haiku without words

I created haiku without words. This is just a draft of a concept. I contemplated the #wccchallenge prompt “improbable architecture” and thought of our solar system, of atoms and electrons, and of poetry without words. Click it to start. Your browser does not support iframes. If the sketch doesn’t lo

4 images of a hyperbolic ducky made of yarn on a white background

Hyperbolic Duckies Published – NCTM

My hyperbolic duckies project is now published in the NCTM MTLT in the For the Love of Mathematics Department:

Porthales

I wanted to undertake a data project that could be completed in less than a day, so I decided to work with storm manhole data from Salem, Oregon. The primary aim of this project is to foster community creativity—whether through code, imagination, writing, or conversation. The map has transformed 10,

a stary scene with an apollonian gasket

Mathober Pieces

Mathober 2023 Prompts are here.This year I used a mix of p5js and procreate to play with stellar scenes – enjoy! There were some great sketches on Mathstodon including hilarious videos, comics, generative music, puns, and more. Links on titles take you to codePen full page view. Some days I played w

list of mathober prompts

Mathober 2023 Prompts

Mathober is just right around the corner, so I thought I’d post this year’s prompts early for those that like to plan ahead or incorporate any of this into a classroom. I look forward to seeing everyone’s creative expression of this year’s prompts. If you’ve never participated – join in! Here are so

raven holding a green apple at a window

Raven Paradox

Raven’s were a fun one to research. I had a hard time selecting the math for these intriguing birds. From vocalizations to intelligence to barrel rolls – it was a tough pick. I ended up going with the Raven Paradox. I couldn’t resist including a leucistic feather (not all ravens are black).

California quail digital art with a Joukowski transform illustration and air currents moving around the top knot of the quail

Valley Quail’s Airfoil

I had the delightful experience of seeing a beautiful quail family in Santa Cruz while traveling for work. The daddy quail sat atop a bush while mommy and chicks foraged below. Finding the right curve for the top knot was a challenge – Mathstodon suggestions led me down a few paths and ended at a […

Spectre Tiles!!!

Spectre Tiles!!!

It’s so exciting to have the Spectre tile so soon after the hat. Here is the website for this wonderful discovery! To celebrate I doodled tiles of Ghost Jellyfish tonight. I imagined them just touching the edges of each tile with their tentacles. There are 9 tiles, where the odd ones are bubbles. He

a map made of montile islands or monotislands

Monotīslands

Using the “hat” monotile recently published, I put together over 20 coloring sheets that will hopefully inspire some to make their own maps with this shape. These sheets can be placed together as monotile islands – or Monotīslands. These may be fun to code with, use in classrooms, worldbuilding, sto

a mandala of jellyfish with overlapping tentacles

1/4 Update

I’ve been busy the last 3 months, so I thought I’d summarize the doodles and musings I’ve been working on that haven’t been posted (like my puffin, ducky, or quilt). A Cantor Set Poem Aperiodic Monotile Doodle This one is in vector drawing (svg) of the aperiodic monotile. Mandalas Puddle of Stars I

A monotile quilt with yellow and gray patterned tiles on a black bacground

A Quilt to Celebrate a Monotile

An Aperiodic Monotile was published this week (details are here). To celebrate, I made a quilt with my mom with some occasional kitty input. I put together a quick slideshow of the process (not super detailed, but it will give you the gist of it). Preview of it is below:

one large puffin amongs many small with the costal range in the background and a title and equations of probabilities

An Improbability of Crested Puffins

A collective noun for puffins is an improbability! I live in Oregon with these beautiful Tufted Puffins (also known as crested). It’s pretty probable that improbable things will happen – just look at the perfection of these little birds.

three crocheted hyperbolic ducks on a mantle with quilt and plans by them

Hyperbolic Ducky

Got a bug in your code? Is there a proof giving you grief? Did you have a bad day? In the midst of a decision? Why not talk with a ducky? I have a hypothesis that these hyperbolic duckies are the best listeners. Creating these ducks isn’t exact, and the instructions reflect that. I don’t […]

a hedgehog with an orbiting planet and stars

Winter solstice 2022

Happy winter solstice! I doodled a hedgehog:

a woman walking into an enormous wave with cusp catastrophe curves on the corners

pdf – of time and cosmos

Here is a PDF of the Mathober Series – of time and cosmos So, I printed a book for Mathober2022, but it is insanely expensive. If you’d like to flip through this work of art, here is a pdf.

hyperbolic curves drawn in 4 quadrants very close together - almost like quilling - black and white

Mathober 2022 Code Doodles

This post is late, but here is the code doodles from mathober2022: Click to change the code below. Or go here for the full page version. See the Pen Mathober2022 by Sophia (@fractalkitty) on CodePen.