Fractal Kitty (Page 3)

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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 […

to remind ourselves

a coded poem function setup() { //we make these spaces for creation createCanvas(600, 600); } function draw() { //in which notions of time repeat aNotionofTime = abs(sin(frameCount / 500)); //in which notions of time cease aNotionofUnTime = abs(cos(frameCount / 500)); //where magnitudes of color are relative aMagnitudeofColor = random(240 - 200 * aNotionofTime); //we

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

Toggled Existence

Toggled Existence

//we are but canvases with centers and symmetry let aCenterOfBeing; //that hold strands - threads of thought let strandsOfThought = []; //separate from memory let memories = []; //memories have a shelf life let timeOfMemory = 0; //thoughts are but moments of mind let timeOfThought = 0; //currents flow around us - carry us - true time let timeOfCurrent

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 background

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.

Mathober2022 – Sketches

Mathober2022 – Sketches

This is the collection of 31 pairings for #mathober2022. Day1 – Spindle Day2 – Cubic Day3 – Planar Day4 – Dissection Day5 – Flat Day6 – Hyperbolic Day7 – Harmonic Day8 – Error Day9 – Identity Day10 – Similar Day11 – Fundamental Day12 – Category Day13 – Theory Day14 – Paradox Day15 – Tiling Day16 […]

a figure 8 immersion klein bottle tree with nuthatches on it

White-Breasted Nuthatch

These birds are often called “upside-down birds,” but maybe they just have no regard for orientation. I enjoyed playing with Boy’s surfaces, Möbius strips, cross-caps, and various Klein bottles for this piece (thanks math Twitter for responding to non-orientable surface requests). I decided on a fig

Mathober 2022 – Prompts!

Mathober 2022 – Prompts!

Get ready for the third annual Mathober! This all started to nurture the practice of daily doodles with no rules/strings attached. This activity has been fun for the last couple of years and I hope to see the community grow. Feel free to join in at any time to create a daily sketch/doodle/script bas

A squirrel sketch with cute eye lies sprawled out belly down in the shadow of a tree.

Splooters gonna sploot…

a kitty at a chalkboard in a helmet with elemetns of math all around.

Chalkboard Dreams

Kitty dreams of such wonders… @mathart4all requested a t-shirt design that was so much fun to do! The prompt included soma, rubiks, space, Euler’s Formula, The Bridges of Königsberg, and a kitty (of course). If you want to buy this on Bonfire the link is here. However, I am all for supporting local

a blue and purple sky scene

Ancient Is

generative art + haiku ancient is the light that pierces the firmament with thoughts of distance ancient is the cloud that wraps us in existence a breath that is shared ancient is the dust that is our substance — in which we occupy space ancient is the pull of gravity — it grounds

this and all images on this page are pencil-like mandala and symmetric in nature.

inner sketch

code + poetry when you sit — quiet as an observer — of thought or of not a thought connecting — nodes — paths you draw these inner sketches of spiritual breath p5js code: See the Pen inner sketch by Sophia (fractal kitty) (she/her) (@fractalkitty) on CodePen.

Indigo bunting on grass with star trail arcs and celestial sphere diagram in the corner.

Indigo Bunting

Indigo buntings are majestically beautiful birds. I had a hard time deciding the direction to go in doodling this one, so I dug up a lot of fun facts: A group of indigo buntings is called a sacrifice, mural, or decoration. Their indigo color comes from the structure within their feathers rather than

a green circle with lots of little circles of various colors and opacity moving through almost a petri-dish scene

Creative Coding Update

April was a fun month of coding. I am sharing a few of the pieces and activities from this month below. Have fun forking, playing, and creating! A Quiet Space This piece was created at the end of March as a stream of consciousness. I started with the Birb’s Nest coding group prompt of “space” […]

Penguin floating in a dodecahedron in space

World Penguin Day

I found out that it is World Penguin Day, so I did a quick sketch – enjoy! If you are a maker and want to make a penguin game – try Hex-a-Huddle

9 oystercatchers in a mandala packing pearls around an earth reflection in a larger pearl.

Microcosm Oystercatchers

Here is another bird in the series – Microcosm Oystercatchers. These are one of my favorite birds. I often see them in the black basalt cobbles on the coast with their fluorescent beaks. I had a hard time with where I wanted to go with this piece initially and went back to gaskets (something I […]

Loon on water with lunes and area calculation

Pacific Lune

Another bird in the series! This one is a little luney. The lunes of Alhazen have the same area as the triangle. Note: Image was updated from the original post to fix an error

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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