Lobby of the Chrysler Building, New York. Arch. William van Alen 1928-30 http://danismm.tumblr.com/post/179134582604/lobby-of-the-chrysler-building-new-york-arch
That's a nice magic square! https://mateturismo.wordpress.com/2018/10/15/el-cuadrado-magico-orlado-de-zurgena/
David Byrne wearing terrifying clown makeup. Taken from his book The New Sins. https://a-talking-heads-head.tumblr.com/post/179057157557/missamericaeyp-david-byrne-wearing-terrifying
I decided to plot the curve of solutions: https://www.desmos.com/calculator/mct44zkpjh
“Mathematics has no generally accepted definition.”
Visualizing Villarceau circles on a torus, by sliding together circular disks of paper in two contrasting colors and directions: http://www.cutoutfoldup.com/981-torus-from-villarceau-circles.php
@RefurioAnachro well I'm going to keep running systemd in production for some time, until I test out removal for as long as necessary for me to feel comfortable.
Rules for production machines are different than rules for my personal server, for obvious reasons. ;)
Time may be represented differently:
- discretely or continuously (Z vs R)
- with a finite period or not (Z/kZ, R/Z = S¹ = T¹)
- invertible or not (Z vs N, R vs R₊)
And in all of these cases the intuition is more or less clear. But what about multi-dimensional time, with multiple generators, not linearly ordered, e.g. complex? What may be the intuition for that? Some kind of multiverse?
@RefurioAnachro I'm wondering about this part of the blog it linked to -- a sly joke or?
This is neither hairsplitting nor special pleading but a need we feel as computer theorists who have used strongly-typed programming languages. https://rjlipton.wordpress.com/2018/09/26/reading-into-atiyahs-proof/
Four days after Atiyah's presentation it's clear that his proof is wrong and can't be fixed. The purported proprties of his Todd function are contradicting, so it cannot exist.
The Aperiodical's closing piece by @christianp and Katie Steckles puts it all in perspective. Which is something the media didn't manage to do properly:
“Being wrong isn’t a bad thing like they teach you in school. It is an opportunity to learn something.” – Richard Feynman
Repost, forgot the image, sorry.
> In fact, Gaudi designed a church in Barcelona using a web of strings and weights to find correct shapes for the arches -- of course, the actual building would have a shape like the reflection in a horizontal mirror above the strings
Also from ch1 of that mechanics textbook:
> Let's define an ideal arch as one that doesn't have a tendency to fall apart sideways, outward or inward. This means no shear (sideways) stress between blocks, and that means the pressure force between blocks in contact is a normal force -- it acts along the line of the arch. That should sound familiar! For a hanging string, obviously the tension acts along the line of the string.
> […] the ideal arch shape is a catenary.
Source, ch 1 from a textbook on mechanics: