iiinova — where your digital self keeps evolving

Fractal Kitty @fractalkitty.com · 28/09/2026

I found a math tipped over in the forest

an upside-down orange mushroom with branching coming from the center out radially in tuning-fork-like patterns with dark background.

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Fractal Kitty @fractalkitty.com · 24/09/2026

New sequence!!! https:// oeis.org/A398869 This is my first time submitting. #oeis #math #sequence #quilting

13x13 Mrs. Perkins' Quilt comprised of blue, red, pink, and fall colored fabrics with the largest square in the upper left (7 in), the the two red 6 squares in the top right and lower left and smaller blue, white and floral blocks in the lower right.

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Fractal Kitty @fractalkitty.com · 10/09/2026

Mathober prompts have been posted and mathober website updated www.fractalkitty.com/mathober-202... and mathober.com #mathober #mathober2026 #mathart

A list of days and prompts. In order: Perimeter of an Ellipse, Zebra Graph, Permutation List, Linear Recurrence, Inellipse, Connected Topology, Five Circles, Parabolic Rotation, K-Cyclic Graph, Simple Pole, Problem of Points, Reciprocal Prime Constant, Standard Map, Icositetragon, Irredundant, Isochronous Curve, Dimension Invariance, Biflecnodal Point, Orthic Triangle, Nice Vector Field, Prime Ring, Polylogarithm, Devil On Two Sticks, Multiperfect Number, Crossed Prism Graph, Unimodular Lattice, Indefinite Quadratic, Conic Double Point, Two Triangle Theorem, Spheroidal Wave Function, Existential Closure

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Fractal Kitty @fractalkitty.com · 09/09/2026

Someone sent me this in a dm and I responded with this not realizing it was yours

a hand holding a figure 8 immersion of a klein bottle that almost looks like a yellow turd with a much sleeker website sketch of one in the background.

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Fractal Kitty @fractalkitty.com · 28/08/2026

my favorite shape is a lune obligatory noisy, blown out shot.

lunar eclipse with white lune blown out at the top and red shadow below.

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Fractal Kitty @fractalkitty.com · 28/08/2026

For those of you that aren't sure whether it is a greater yellowlegs or lesser yellowlegs, just remember the greater yellowlegs eats the frog. I have included a diagram with and without annotation. I belief the latex is \gyl, \lyl #birds #math #greaterthan #inequalities #frog #mathInTheWild

A greater yellowlegs stands with yellowlegs to the left with a frog in its mouth. A lesser yellowlegs stands with yellowlegs to the right without a frog in its mouth. both create angles with the reflections of their bodies and face away from each other.

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Fractal Kitty @fractalkitty.com · 26/08/2026

just some random chords www.desmos.com/calculator/f... #desmos

a circle sketched with fined lines that are orange through the center and blue and teal at the edges on a black canvas.

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Fractal Kitty @fractalkitty.com · 25/08/2026

squarrel numbers: we can thank mathstodon for the naming: mathstodon.xyz/@fractalkitt... www.inquiries.link/tools/geomet... #squareable #squarable #squarrel #numbers #math #squirrels

purlple, yellow, and green squares with squirrels that form one larger square. the squirrel is holding a square.

black and white square with 21 squares of different sizes inside with black silhouettes of squirrels in each one.

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Fractal Kitty @fractalkitty.com · 22/08/2026

oh look - I got the front :)

young barn swallow on a wire with redish front looking away. Six little toes point forward.

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Fractal Kitty @fractalkitty.com · 20/08/2026

desmos doodle www.desmos.com/calculator/q... #Desmos

Description: A circle with nested curves larger on the lower right, smaller on the lower left and thin and stringy toward the top left repeated 4 times scaling smaller with each copy and alternating between blues and teals. The four-circle arrangement is then reflected over the horizon. There is gradient color with deeper colors on the curves and light colors on the stringy parts.

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Fractal Kitty @fractalkitty.com · 18/08/2026

I apologize for my alt text not being emotion free - I can't help it.

Two bushtits sitting shoulder to shoulder cuddling on a branch facing away from the camera with the most adorable fluff and little tails. They are grey with a little brown on their tiny little wings, and the cuddle is so cute I could die. The branch they sit upon is curved and they face an grape leaf, but fig leaves are blurred in the background with a vignette.

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Fractal Kitty @fractalkitty.com · 13/08/2026

Nuthatches don't have the concept of gravity - they are non-orientable.

A brown figure eight Klein bottle with branches and leaves sits with two white-breasted nuthatches. One is upside down and the other is not.

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Fractal Kitty @fractalkitty.com · 06/08/2026

An hour south, I'd like to say we've got you beat:

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Fractal Kitty @fractalkitty.com · 06/08/2026

love this and your other visualizations! - light mode feels good.

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Fractal Kitty @fractalkitty.com · 23/07/2026

added some knotty prototypes to inquiries www.inquiries.link/tools/topology #knots #mathart #mtbos

hexagonally arranged knot coloring sheet with symmetric coloring and crossings and one part in the center miss colored from the rest as dark when the others are pink. the colors are muted tones

rectangular arrangement of a celtic-like knot with symmetry in knots, but not in colors.

a braid of crossing strands with various colors that weave under and over with muted tones.

a circular braid of loops where some cross in and out and others cross few or not at all. muted tones.

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Fractal Kitty @fractalkitty.com · 04/06/2026

\[ \exists - \backepsilon \] www.te-st.ing - A clock protoype tool while at the recurse center. Visual nodes and connections compose a clock. I am still working on it. Almost have a desktop version working. The export is an html. #recurseCenter #indieWeb

clock with trees, grass, orbits, center circle, curves and hands that are connected for a mandala-like appearance that makes it barely readable. The background is blue with L-system trees and pinks, greens, yellows that are muted throughout.

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Fractal Kitty @fractalkitty.com · 02/04/2026

Nice story - I got my copy and read it today, and also took some pictures of our local nest - it's not in a conifer.

nuthatch at a hole on a cherry gree with a blossom against her back.

A nuthatch is peeking out of a cherry tree hole with fungus above and blossoms.

A nuthatch on a cut branch with lichen and fungus, with a floofy stance looking to the left, its beak up.

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Fractal Kitty @fractalkitty.com · 25/03/2026

oh my! I can't wait to look around my area and see if I can find evidence of this (with binoculars of course). I love these little non-orientable birds that have no sense of gravity. Also, yay for Buttondown.

A nuthatch sideways and looking infront of her feet on oak bark. The bird has a black stripe through its eye and on it's forhead with whigte between and a very sharp beak about half the length of it's head. The feet are splayed in a V from the body. Black and white- high contrast image.

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Fractal Kitty @fractalkitty.com · 24/03/2026

added a variation of stop-gate(domineering) to play with. After each move, scorch a space one king's move away: inquiries.link/tools/puzzle... #mtbos #iteachmath #mathToys media.mathstodon.xyz/media_attach...

an 8x8 board with horizontal teal dominoes and vertical salmon dominoes with move numbers labeld. there are greyed out squares with numbers to show the move the square was scorched. in this game salmon won since at move 19 there were only two non-connected squares left.

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Fractal Kitty @fractalkitty.com · 23/03/2026

I didn’t see any today about 60mi south at basket slough, but am hoping to see them soon- they are such wonderful birds. I did see some usual suspects.

Gadwall half in light half in shadow on water facing straight on. Black and white image with stark contrast and wallpaper ratio.

Lesser scaup with bright eye, black head, white wing, and pattern feather back on water. Black and white image with stark contrast and wallpaper ratio.

Pied-bill grebe with a fluffy butt and stripe on the beak; a small bird with a cute little eye ring. Black and white image with stark contrast and wallpaper ratio.

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Fractal Kitty @fractalkitty.com · 27/01/2026

I have to respond with my parakeet:

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Fractal Kitty @fractalkitty.com · 23/01/2026

Working on blog post for this tomorrow, but sneak peek of the procedural (genquilt) after getting the binding on tonight (low light pic). This is a #decemberAdventure just finished (minus a write up). Make your own pattern at Genquilt.com #quilting #proceduralArt #GenArt

7x5 block quilt made of jelly roll 2 inch strips arranged so there is a weaving, herring bone, steps, or other patterns to find. The fabrics are white, black and shades of gray with mathematical flowers, circles and stars for patterns. The binding is black and the blanket is laying on a blue surface blanket.
The picture is low light with limited detail.

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Fractal Kitty @fractalkitty.com · 05/01/2026

added a draft of a compass + paint toy today and played with it. inquiries.link/tools/geomet... #mathart #mtbos

tan and slate circle of life construction with added circles and shading so that there is a crescent moon and flower painted tan, with tan lines and slate for the rest of the drawing.

tan and slate circle of life construction with added circles and shading so that there is a crescent moon and flower painted tan, with slate lines and slate for the rest of the drawing. This one there are lines though the lune.

A geometric construction with a lune inside many circles and a flower at the center. the lines are tan with blue shading elsewhere

a lune and a flower with some lines indicating remnants of its construction. the curve lines are blue and match the background and the lune and flower are tan.

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Fractal Kitty @fractalkitty.com · 16/11/2025

I am currently trying an Icosahedron

A partially assembled icosahedron out of batik fabrics

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Fractal Kitty @fractalkitty.com · 16/11/2025

I will post on my blog soon. each square is 9.5" Nothing is sewn; theoretically, it can come apart. I was so excited, I didn't document it well I used an interfacing with this one (ironed on for a little stiffness). The batik will limit any fraying I plan to do another and take better pictures

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Fractal Kitty @fractalkitty.com · 09/11/2025

Love this! I’ve used wood and nails or cloth and embroidery with students in the past: www.fractalkitty.com/week-15-stri... And for online learning, I made some tools: www.fractalkitty.com/string-art-p... Example jamboard:

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Fractal Kitty @fractalkitty.com · 27/10/2025

Today's #birdOfTheDay is #Heron so I'll leave this here - Heron's formula www.fractalkitty.com/content/imag...

A blue heron at night with the moon large and behind. The heron is facing left and not extended and only shoulder up visible. Heron's formula is in the moon with a triangle drawn with sides a,b, and c, the equation s = (a+b+c)/2, and A = sort(s(s-a)(s-b)(s-c)).

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Fractal Kitty @fractalkitty.com · 26/10/2025

My 14yr old is learning blender. He already has a space capsule, rocket, and launch sequence. But this detail made my morning.

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Fractal Kitty @fractalkitty.com · 25/10/2025

Greater Yellowlegs were talking at the end of my run tonight. #birds #oregon #greateryellowlegs

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Fractal Kitty @fractalkitty.com · 19/10/2025

Today's #mathober is primitive. Here is a code snippet: codepen.io/fractalkitty... #mathober2025 #noKings

Alt text

p5.js code showing that all the global variables are variations of no kings: let noKings = 0; let nOkings = 60; let nOKINGS = [4485, 5852, 7373]; let NoKINGS = [1380, 19019, 19069]; let NOkINGS = [3059, 8580, 9109]; function setup() { nokinGs = 500; createCanvas(nokinGs, nokinGs); background(255);

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Fractal Kitty @fractalkitty.com · 18/10/2025

Lol - I play a circular guitar all the time.

A yellow budge on the neck of a banjo zoomed in. A hand in a clawhammer style is on the strings

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Fractal Kitty @fractalkitty.com · 12/10/2025

Made a blogpost into a zine for a vigil for a tree today.

A printout, scissors, stapler, and folded zines on a table. The zine is on a single sheet, has an image of a tree, and reads:

flow into an ocean of sky
October 5, 2025

I came upon one of your friends today and noticed that he was taking a moment; a moment to appreciate you, to take you in, maybe to remember you. I asked. He pointed at a sign. We talked.

At first, I was angry, and then I came to an understanding, and now I am processing. We are both sad. We are all sad.

You might know this already, or feel it in your being, but you have only a few days left, my friend. I pray they are the days that nurture you - be it rain, sun, the sound of crickets, the Great Horned Owls that find you in the dark, the little bushtits blowing through you like a breath. May all that love you come to visit – take you in – celebrate your being.

I can tell you that I am going to miss you – your little green leaves that emerge every spring that are a call for all to blossom – your ability to blanket our paths calling us to be children of the earth and crunch in your leaves – your cradle of boughs that provide for our birds, the crows - oh the crows will miss you so.

I am going to miss your branching beauty, your glorious hues, and your streams of growth that flow into an ocean of sky.

Thank you for being here and gracing me with your call to ground for so many years.

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Fractal Kitty @fractalkitty.com · 10/10/2025

I listen to the parents duet in January and found the nest in the spring. Please note that I have a 600 mm lens and kept my distance.

A juvenile, great horned owl sitting up in a nest with his little yellow eyes and tufted ears looking out to the distance. The wood is Cottonwood with a blurred background and vignette.

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Fractal Kitty @fractalkitty.com · 09/10/2025

I made a plushie for my child. Alpaca and wool- sooooo soft. #botw #fiberart

A brown and tan treelike crocheted creature with a leaf on the face with nose poking out and markings for eyes. The plushy is sitting in a fig tree tilted.

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Fractal Kitty @fractalkitty.com · 09/10/2025

Young waxwings are everywhere. I counted over 80 in my backyard this morning. I grow things for the birds.

Young waxwing on a branch with leaves with white and tan streaked breast and mostly tan face with slight markings of the adult. The bird is facing right with grey wings and side view of the tail visible.

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Fractal Kitty @fractalkitty.com · 08/10/2025

Can you find the Sigma? #mathober #mathober2025 Today is notation. For code - I did Q.E.D: codepen.io/fractalkitty...

A brewers blackbird with a black iridescent body and yellow eye on a twig in the water. The legs reflected make a sigma symbol. The water is blues and browns smeared color with a slightly smeared reflection.

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