A very fascinating video. It breaks down Escher's famous Print Gallery to show how it was created mathematically. It also shows what would appear in that round blank space in the middle of the drawing.

A very fascinating video. It breaks down Escher's famous Print Gallery to show how it was created mathematically. It also shows what would appear in that round blank space in the middle of the drawing.


Bon alors aujourd'hui on a pêché par excès de motivation : arrivés à 10h au sommet de notre rando, la neige était encore à l'ombre toute croûtée.
Alors on a patienté 45 minutes avec vue en attendant que ça décaille... et en s'amusant avec des énigmes de maths (de #3Blue1Brown) transmises par mon fils.
Die Mathematik-Erklär-Videos von #3Blue1Brown sind eigentlich immer lohnenswert. Hier erklärt Grant Sanderson die Mathematik hinter M.C. Eschers Werk "Druckgalerie" und geht der Frage nach, was sich wohl im Zentrum des Bildes befinden könnte.

Met verwondering gekeken naar een wiskundige 'artiest' die zo mooi laat zien hoe een andere wiskundige artiest geweldig mooie en knappe kunstwerken heeft achtergelaten.

3Blue1Brown is one of the most well-known math channels on youtube. He explains high-level maths in an almost meditative way using simple but eye-opening motion graphics. I just stumbled upon this video about a paper that figured out how MC Escher made a certain distorted, recursive drawing.
The artist probably didn't know about logarithms of complex numbers and neither do I. But it's super interesting even if you just watch for the animations:

The new video by #3Blue1Brown is absolutely amazing and worth to see: https://www.youtube.com/watch?v=ldxFjLJ3rVY
The cool thing about that specific video (which is in my opinion one of his best so far) is, that it describes a process, which I did in the past. This is the first time that a topic fits so well to things I made very often.
For example, rendering fractals like the Mandelbrot set, but transforming the C-plane into an exponential C-plane before iterating.
Two programs written by @mathr ( namely fraktaler-3: https://fraktaler.mathr.co.uk and zoomasm: https://mathr.co.uk/zoomasm ) doing exactly this: rendering a series of exponential mapped image strips, containing a distorted fractal, like the Mandelbrot set and later assemble a zoom-video from these strips by transforming them into annuli of different sizes. That process saves much memory.


Other title:
How to improve a painting by M.C. Escher
Yeah, I’m a maths fanboy.
This picture broke my brain bc 3Blue1Brown
https://youtu.be/ldxFjLJ3rVY

On the volumes of higher-dimensional spheres
https://www.youtube.com/watch?v=fsLh-NYhOoU
