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 https://jeremykun.com/2022/05/14/practical-math-preview-collect-sensitive-survey-responses-privately/

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

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....

URL: https://philpapers.org/rec/DETWAO

PDF: https://philpapers.org/archive/DETWAO.pdf

Entry: https://read.somethingorotherwhatever.com/entry/WhosAfraidofMathematicalDiagrams

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 itch.io: https://zenorogue.itch.io/nil-rider

Trailer: #mathart #opensource #vr

https://youtu.be/SWtPAfnMZjA

@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.

A quick experiment in plotting how Gray-Scott reaction-diffusion patterns change with respect to its two parameters: https://shadertoy.com/view/fdBXzy

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: https://www.ewmnetherlands.nl/projects/women-in-mathematics-poster/

These ideas eventually worked their way into a #woven #BinaryTree representation of #PascalsTriangle.

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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: https://a3nm.net/blog/adversarial_tetris.html

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 https://www.metafilter.com/195140/Beastly-AIs-known-to-let-the-piece-mmmdrop

Mathematician working mostly in three-dimensional geometry and topology, and mathematical maker/artist working mostly in 3D printing and virtual reality.

Joined Apr 2017