Keep watching the center. It's one line the whole time.
No shading, no second stroke. Just a spiral getting thicker and thinner.

@timchartier.bsky.social
husband, father, friend, Joseph R. Morton Professor of Math & CS at @DavidsonCollege, sports analyst, professionally trained mime, puppeteer
Keep watching the center. It's one line the whole time.
No shading, no second stroke. Just a spiral getting thicker and thinner.
Leonardo spent years on the Mona Lisa. I gave her 5,568 candies and 6 colors. 🍬
Rule: gray the image, tile it, rank tiles light to dark, split into six equal piles, one candy color each.
No colors match the painting, but the light and dark do, so your eye still finds her.
Color rings of nested circles in a spiral pattern in Python
rodstephensbooks.com/nested_circl...
(I thought this was going to be my last digression into nested circles, but I've got one more coming, plus a digression to the digression.)
Jason Douma and I edited a new MAA book on data science curriculum that can be plugged into classes. Take a look at: bookstore.ams.org/view?Product...
Asked Claude for a catchy social video about the hat tile, the one shape that tiles forever without ever repeating.
Well... is it catchy? 😀 #MathSky
Yesterday I showed you the spirals hiding inside the letter A. Today you can make your own.
Type any word, then play with the triangles, the curve of pursuit, the colors and the glow. 📐
What to do? It's up to U!
Inspired by John Edmark's Dahlias inside Atlantis The Royal Hotel in Dubai, UAE.
Fell into the letter A and found spirals all the way down.
Made with right triangles, one simple rule (move toward the next corner, repeat), and a little Python. #mathart #creativecoding
Stunning compilation of the lightning display over the Volcán de Agua, Guatemala. The show lasted for approximately 45 minutes over impressive lenticular clouds, allowing photographers to capture the phenomenon. [📹 Jonathan Castillo]
Plato associated the tetrahedron with fire. I made it ice. 🧊🔥
The simplest Platonic solid: just 4 triangles, each one's corners chasing each other inward, then letting go.
A quiet one for Sunday.
Trying a different color palette (palette 76 from the book “A Dictionary of Color Combinations Vol 2”) on my favorite decomposition of the infinite knight’s graph into four 2-factors.
For your Saturday game night, a d20 where every face rolls a spiral: 20 triangles, each one's corners chasing each other inward, then letting go.
This throw and catch is so clean it looks scripted, but it is pure brain math, milliseconds of trajectory prediction turned into perfect hand placement.
Update: still no idea what the Romans used them for.
But I did get one to breathe. It starts as a bare dodecahedron, winds a galaxy into every face, then lets them go again.
How to put on socks when you have a hard time reaching your feet [📹 Mister Odd and Miss Tree]
The Romans left behind over a hundred mysterious bronze dodecahedra, and nobody knows what they were for.
I can't solve that, but I can fill one with spirals: 12 pentagons, five corners each, chasing inward. A tiny galaxy on every face. ✨
If a disco ball studied geometry. 🪩
A sphere cut into 320 triangles, each one filled with a curve of pursuit: corners chasing corners, all the way in.
Before and after: one is a coloring page, the other is what happens with a little time and a lot of color. 🎨
Choose your petals and rings, then click to see what appears. Print it for quiet coloring time, or color it right on your screen: lifeislinear.davidson.edu/mandala-make...
A Monday pause before the week takes over.
Watch one ring turn. Breathe in, breathe out. Then another.
A small, endlessly spinning start to your day.
The incredible Special Effects of KAREL ZEMAN — without whom there’d be no Terry Gilliam, Tim Burton or Wes Anderson to name but three.