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A collection of 54 posts

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 […]

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

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

owl flying with vorticies

Great Horned Owl

All of the great horned owls that have sat with me for hours of my life came to mind. I really struggled with what math piece I wanted to do here. I went with lift. I used multiple images, including my own in composing this. The vortices off the back of the owl are inspired […]

a white pelican on a blue body of water at sunset with flocks of cantor dust and the cantor set elements throughout

American Peli-cantor

These birds utterly amaze me with their gigantic wings, synchronous motion, and high-up flight. They really are a joy to watch in flight, feeding, and landings.

Evening Grosbeak navigating a prime constellation.

Evening Grosbeak

When contemplating a spirally constellation of twin primes, you may ask, “Just how many are there? – Infinite?” The Twin Prime Conjecture would say so.

a bird with 144 beaks in a thought cloud of a kitty with the words "kitty contemplates a new species."

Gross-Beak

I got side tracked when thinking about the next math bird in a series and thought “I’m long overdue for a kitty comic.” Dozen=12 and Gross=144

chickadee with a slope field and the derivate dy/dx = 2co(x/3) with the rollercoaster flight sketched

Chestnut-backed Chicka-dy/dx

Another Math bird in the series! These little chickadees make the cutest noise. They have had a brood every year in the neighbors gum tree. When I see their rollercoaster flight, I think of slope fields.

Mathober 2021

Prompts are at the bottom of this post and the information for Mathober is here. I used ink and code for this daily practice and really enjoyed seeing everyone’s posts on their blogs and twitter. Let’s plan for next year. Prompts will be generated in September of 2022. Ink: Day 1 – Multiplicity Day

pair of sand pipers on parallelepipeds with an ocean in the background and the matrix fro the volume.

Western Sand Parallelepiper

Another Math bird in the series! This one was inspired by my 17yr old discussing her math homework of deriving the volume for a parallelepiped. So of course It spawned the thought of parallelepiped sand castles.

Spiraling Vaux’s Swifts

Spiraling Vaux’s Swifts

Just like solar eclipses, Vaux’s swifts really are a life experience. Watching them funnel into a chimney in a vortex of flitting feathers is just amazing. I had the wonderful experience of watching them funnel into the chimney at dusk in Salem, Oregon (my home). So here is the next math bird in the

a birdhouse with violet green swallow head packed like a gasket and the math written on the house with parents flying

Packing Violet Green Swallows

I enjoyed watching the swallows this summer. I couldn’t help but imagine that they were packing circles in their little birdhouse portal. Life is full of such precious moments.

A pileated woodpecker with morse code and the branches of letters with the waves shown in a forest

Pileated Woodpecker

Another math bird in the series. I am pretty convinced that pileated woodpeckers communicate in their own form of morse code. I wonder what their frequency is when they are excavating?

a western tanager on oranges peeling them to make map projections in the background with drawing tools

Western Tanager

Another math bird in the series. I associate these tanagers with oranges, summer, and warmth. This year I enjoyed seeing them in our woods as I sat on a fallen white oak in the middle of a forest.

Cardinality Cardinal

Cardinality Cardinal

Another math bird in the series. This one I struggled with what to do and include, feel free to send any comments my way. I am still contemplating if it is really done. I miss hearing cardinal calls from when I lived in the east and watching them out on my grandpa’s farm with their […]

Manifold of Me (a self portrait)

Miscellaneous - interviews, ideas, and more

Manifold of Me (a self portrait)

If you want some notes/insight, here are some drafted below. Skip them if this piece speaks to you – you may find your own meaning and you don’t need mine.

Belted Kingfisher

Belted Kingfisher

The Belted Kingfisher catches Fish Curves on a King Graph. (This image was updated with a fix after the initial post) Sources: https://mathworld.wolfram.com/KingGraph.html [https://mathworld.wolfram.com/KingGraph.html], https://mathworld.wolfram.com/FishCurve.html [https://mathworld.wolfram.com/Fish

A spotted towhee sits on a wooden tau with vines growing on it and a few branches and a son that looks like the unit circle w

Spotted Tau-hee

Happy Tau Day! I have created another math bird piece for today with the inspiration of Spotted Towhees on my morning walk.

“Two-Body” Problem: Barycenter vs Waxwing

“Two-Body” Problem: Barycenter vs Waxwing

After watching the neighborhood waxwings consume their fill of berries prior to moving on, I pondered a different kind of a two-body problem:

i-bis

i-bis (white faced ibis) on the complex plane.

Probability in the Leaves

Probability in the Leaves

I run and see the crows daily. They splash, play, talk, and announce the sunset. I see them in yards flipping leaves together and can’t help but feel that they are calculating probabilities. Of what, I am not sure – maybe the probability of finding a nut, bug, or piece of pizza. No matter what, […]

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.

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

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 […]

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

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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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