Sharing a few more images from my study on tilings.

For those that are interested in the details of what is going on here, I am building off the work of Bob Hearn (and others) which he presents here:

In my reading on the use of differential Privacy in the US census, it's surprising to me how much controversy there was around the revelation that pre-DP census data was known to be inaccurate and biased. But because users had nothing to compare it to, they simply accepted it as ground truth. The proposal to use DP shattered their false belief by bringing the uncertainty to the forefront and allowing one to quantify it, rather than having the bias be confidential

But first, in no small part due to the recent political news, I decided to publish a draft chapter on my blog

It's about randomized response, but specifically how the technique was first applied to measure abortion rates pre-Roe v Wade.

Show thread

New entry!
Who's Afraid of Mathematical Diagrams?
Article by Silvia De Toffoli
In collections: Attention-grabbing titles, The act of doing maths
Mathematical diagrams are frequently used in contemporary mathematics. They are, however, widely seen as not contributing to the justificatory force of proofs: they are considered to be either mere illustrations or shorthand for non-diagrammatic expressions....
Entry: read.somethingorotherwhatever.

You ride a unicycle and need to reach the goal triangles. The unicycle is powered only by the gravity. The twist is that the game takes place in a world with Nil geometry! You know those impossible staircases and waterfalls and triangles; Nil makes these possible. You gain speed simply by going in circles!

Nil Rider on


A short video explaining the mechanism inside of a Rubik's cube - How can the parts rotate in all of those different ways without falling out?

@saulsch There’s a nice Cantor set at the top, and the lines of “puppeteer hands” going upwards are interesting. The mirror reflection when seeing your camera on your own screen does things.

Show thread

A quick experiment in plotting how Gray-Scott reaction-diffusion patterns change with respect to its two parameters:

View from inside a rotating ball of rhombicosidodecahedrons

I captured some better photos of my recent 3D printed fractals.

I installed some LED lights on the display shelf where I keep my painted minis. I also covered the shelves with a matte black paint. The minis look great and it makes for a great little photo box.

Collaboration with Guenter Bachelier:
Periodic decoration of hyperbolic space in Poincare disc representation, distorted by conformal mapping.

The European Women in Maths released a poster featuring Notable Women of Mathematics and short biographies.

It is free to download and print in Dutch and English (for now, more translations are ongoing as far as I know), it would be great to display it on the walls our mathematics departments:

I'm in the process of wrapping up the exploratory/art phase of this project, so I'm sharing a few of my favorites.

Time to start the formalism and get some papers written!

Since @rcorless was posting about Bohemian matrices a while ago, I thought I'd try some experiments of my own. Here's the result of plotting the eigenvalues of 4×4 upper Hessenberg matrices with zero diagonal and the other entries chosen among the cube roots of -1.

Some hexagonal #turingdrawings from my #cellularautomata simulator-thingy I'm working on.

Up next: anything that doesn't involve clicking restart 500 times to discover those that aren't a straight line.

Computer search proves that you can always complete at least one line in standard-size Tetris:

This is true even if the piece order is specifically chosen to make it difficult for you rather than randomly, and even if you are only allowed to rotate and drop pieces without slides or spins after they drop. Via

Show older

The social network of the future: No ads, no corporate surveillance, ethical design, and decentralization! Own your data with Mastodon!