Fractal Kitty

@fractalkitty.com

653 Followers 414 Following

Math-obsessed perpetual asker of why. Random task penguin. Life thoughts are often in haiku. (She/her)

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.
Yellow warbler rubbing her head on a lichen-covered branch with beak open in an absolutely cute pose.
red-breasted nuthatch on a cut log with moss and lichen facing to the left and beak pointing to the corner. the fluffy little but and body are closest. The little borb has a white and black striped head with the black stripe through the ey to the beak, a grey back and rusty butt and body.
Rough skinned newt coming to the surface of clear water by moving the tail in a sine wave.
nuthatch at a hole on a cherry gree with a blossom against her back.
a marsh wren singing - black and white photo with high contrast. the bird's tongue is visible in this full-on vocalization.
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.
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.
Gadwall half in light half in shadow on water facing straight on. Black and white image with stark contrast and wallpaper ratio.
A watercolor style painting of a bush hit on a branch with lichen. The bird is backlit, mostly browns with blue greens and yellows throughout. The bird is sideways on a branch that is vertical looking up into the left.
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.
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.
Origami fabric icosahedronand octahedron side-by side with turquoise purple and blue fabrics on a cutting mat
A partially assembled icosahedron out of batik fabrics
Purple greens and turquoise fabrics, folded into an octahedra with rocks in the background this angle shows a non-symmetrical view.
A person walks on an axis with a spring coming from the origin out with echos of this person on the y and z axes showing Euler's formula with real and imaginary axes labeled. The background is in space with a star at the origin.
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)).
Otters sitting in emission control room with the countdown and then launch of a rocket. Multiple screens show different angles of the launch, including cooling exhaust and Birds Eye view.
An otter sits at a control station, picks up coffee and slowly sips. The chair is designed for otters with a tail hole.
A view after sunset of a slough with reflection, but mostly dark shore and trees in silhouettes.
Yellow rumped warbler on a branch with head tilted to the right. Dark speckled breast with yellow pits and white chin are visible.
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);
A yellow budge on the neck of a banjo zoomed in. A hand in a clawhammer style is on the strings
American Redstart with beak open on a twig with green background. The whiskers around the beak point up. The bird has a grayish breast with orange/red pits and dark browns wings. There is a yellow band on the tail.
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.
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.
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.
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.
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.
A 5 panel collection of greater yellowlegs preening. The first image on the left is tall and long and is a close-up of the head. There are four images on the right that are stacked from top to bottom where the bird is pruning under than over than front then wing. The water is gray with random twigs and leaves showing through.
A pileated woodpecker sits at the base of a tree that has a cantor set excavated, where the lines for the cantor set ar vertically drawn by long excavation trenches. The bird has a bright red cap and is making eye contact with the viewer. There is partial bark at the edges of the tree and grass on the ground.
A flicker perches on a birch branch that splits of into the sunlight so that all branches lead to the flicker looking at the sun. There is a circular smeared sky that goes from light to darker edges.
A Cooper’s hawk walking on a fence facing left with one leg up, looking down with very big eyes. The wings are partially up and a very tense and serious walk. There is greenery in the background, a heavy, even yet and some desaturation in the photo.
A pentagon made of a continuous bent twig lined with lichen. There is rotational symmetry and about halfway along each segment of the pentagon side, there is gathered bunch of lichen and moss with a bush tit on each one. The background goes from a pale yellow to a muted slate blue with a feeling of smeared clouds int he texture. The bushtits have silver lining.
A digital sketch. A black-capped chickadee pecks at something in a crack on a boulder ther shap of a dodecahedron in a boulderfield. the boulder has some moss, ferns, and fungus on it, but the rest in the field do not. Only the boulder that the chickadee is on is in focus.
A blue and white tricontahedron made of a plus shaped toy placed together linked to link held by a person with a green shirt with a house in the background. The sheep has blues with a white inside and lots of holes within the toy.
A redbreasted nuthatch stands on an acorn with a bead of water on its beak watching two other drops of water run down the acorn in longitutinal paths - deviating from each other on the surface. a blured forest background is in the backdrop.
Six rings held togher by a single ring going over and under, where each ring is a circular tree branch with lichen, moss, ferns, and mushrooms growing off. Everything is radially symmetrical so that the six rings have repeated growths and lighting. On each ring there is a brown creeper facing clockwise with a dark speckled top and white brest with a curved beak. it faces a tiny mushroom. the background goes from a light yellow to dark slate blue from the off-center center of the radial sketch with a smeared cloudy feel to it. in the lower corner is a signature S with a period.
Day 1: Link Day 2: Deviation Day 3: Polyhedron Day 4: Strongly Day 5: Digraph Sink Day 6: Partial Sum Day 7: Notation Day 8: Octagonal Heptagonal Day 9: Chi Day 10: Stellations Day 11: Orthogonal Polynomial Day 12: Monotonic Day 13: Sporadic Group Day 14: Augmented Matrix Day 15: Chord Day 16: Faithful Day 17: Wheel Day 18: Primitive Day 19: Domain Day 20: Reye Configuration Day 21: Sawtooth Day 22: Odious Day 23: Jacobian Day 24: Number Field Day 25: Wedge Day 26: Amalgamation Day 27: Bidiminished Day 28: Recursion Day 29: Hexyl Day 30: Minor Day 31: Central
Anna’s hummingbird with beak at the lower point of a blurred moon sliver. The image is vignetted and textured with desaturation and purple and blue tint. The hummingbird sits on a branch that has started to lose its leaves.
A digital sketch packed with scientific concepts. With a teal and yellow themed, there is a galaxy in the center, neurons talking across, an Apollonian gasket of viruses, coral with algae that has orbiting bodies including a vesicle and notation for an inertial vector. There is a dampening wave, a chaotic graph, graphite lattice, dna, diffusion and more. The bottom has a tesselation tiling with a sunrise lighting. Lichen with little red dots grows on one of the tiles. In the left corner a representation of the Ishango bone stands with marks for numbers. Fluid flow moves across and around a vesicle and symbols for permutations and then the cycle of a flower are overlayed.
And Anna’s hummingbird sitting on a branch of purple flowers. He looks to the left with a crimson head and little white eye ring around his eye. He is back lit with gray and white feathers on his breast and bokeh behind him.
a screenshot of a graph ABCD on graph paper with two arrows coming from and to node pairs AB, AC, BC, and CD. On the right is information for the BEST theorem showing the number of arborescences, product of (deg -1)! for nodes and the BEST calculation showing the number of eulerian circuits. The determinant math is shown as well with a note that the graph is eulerian because the number of in and out degrees is equal for all nodes. One spanning tree on the graph is highlighted with bold and there are buttons to go to the next. were are 3 in total given by the determinant/arborescences. There are teal tones in the background and on the nodes/vertices.
Close up of side of turquoise noperthedron on a table. The shape is turquoise with triangulation where the band around it Center has smaller triangles and the top and bottom have longer triangles creating a belt around it that is more bulbus.
A teal noperthedron with a cylindrical hole in a drafting program with shadowing. The shape is vase-like with triangulated faces, but bulbous at the center and slanted inward at the top in bottom so that there is a band of 3 layers of shorter triangles in the middle and longer more angled-in triangles at the top and base of the vase (container).
Real numbers aren't Real is written in a font where the R is the symbol for real numbers and a Brewer's black bird sits on the top of the first R. A diagonal curve going back and forth is in the background in a light grey. White background with black text. This version is 3x11 - so the diagonal is squashed and the two middle words are slanted.
The diffy sequence as nested rotated squares with numbers starting with 0,3,51,61 and the corners of a square, then a rotated 45 degree square shows the differences between each corner of 3,48,10,61, the again 58,45,38,51, and again 13,7,13,7, and then 6,6,6,6 and 0,0,0,0. The nodes are alternating dark then lighter turquoise for each step with starting numbers ABCD below as input boxes and a 5 steps accordion below.
Gouache painting of the spiral of archimedes with a border on the edge that is 1 unit deep. The spiral is blue with water color texture and stairway feels on the border. From the spiral pours white, cyan, Prussian blue and teal in tentacle like waves. The white area are washed with color bleeds and some have bubbles of color. There is a blue border. The spiral is in the upper right with flow moving down to the left and all around.
A cat that looks like it is very thin in the shape of a hyperbolic paraboloid (or like a Pringle chip). The cat is flying above the clouds with a spiral tail and facing to the left. white cloud letters say hyperbolic kittyoid.
chicory flower at sunrise with direct light and partially open. The background is blurred with a meadow and a couple of branches overhead. The image is processed with textured overlays, vignetting, and contrast to look slightly like a painting.
A Hilbert curve drawn with pebbles on a flat rock surface. The pebbles have many shades and shapes and the Hilbert curve looks like 4 squarish cat-heads with ears where the top two are facing up and the bottom two are facing in and they are all drawn with a single line of pebbles (like line art) so they are connected. Shadows point downward from horizontal pebbles showing the morning light.
A poorly taken shot of a Veery that shows an awkward bird with a large forehead and beak almost above the eyes and toward the camera. A Brown bird with whitish breast that is very round.
An egret head with here that seem horribly misplaced on the sides with beak pointing up.
Barred owl with puppy eyes looking at the camera on a mossy branch. The little orange beak is below dark eyes. Brown long feathers streak the breast with a nice little ruffle around the neck. The noise is high.
A rotationally symmetric, digital, drawing of eight bitterns, looking at the moon in grasses. There is a strong vignette a moon at the center and stars. There are small highlights on the grasses in the bittern.