This is quite a cool achievement!
In math, "tiling" is about ways to tile the infinite plane with one shape, like you can do with hexagons, rectangles, triangles, and more complex shapes. Until now, no one had discovered an "aperiodic monotile", i.e. one shape that could tile the plane *without* regularly repeating. This is known as the "Einstein problem".
The researchers here just found such a shape, and it's surprisingly simple-- 4 thirds of a hexagon glued together in a shape they call a "hat". If you look closely at the gray lines in the image below, you can see those 4 thirds combining into the tile shape.
This was published just today, and announced within the last few hours. The server is busy. 🙂
Congratulations to @csk and the rest for solving the Einstein problem! 🏆 This is really exciting!
(@seb -- now we need a custom emoji of the tile. 🙂)
I reimagined #Logseq main layout with a workflow that involves recent and pinned pages, current-page panes and pinned panes. All the details here on the forum as always:
https://discuss.logseq.com/t/concept-of-the-main-layout-with-pinned-pages-and-panels/16141
#AI #GenerativeAI #Spam #Text #LLMs #Content #Writing: "Whether or not a fully automated textpocalypse comes to pass, the trends are only accelerating. From a piece of genre fiction to your doctor’s report, you may not always be able to presume human authorship behind whatever it is you are reading. Writing, but more specifically digital text—as a category of human expression—will become estranged from us.
The “Properties” window for the document in which I am working lists a total of 941 minutes of editing and some 60 revisions. That’s more than 15 hours. Whole paragraphs have been deleted, inserted, and deleted again—all of that before it even got to a copy editor or a fact-checker.
Am I worried that ChatGPT could have done that work better? No. But I am worried it may not matter. Swept up as training data for the next generation of generative AI, my words here won’t be able to help themselves: They, too, will be fossil fuel for the coming textpocalypse."
https://www.theatlantic.com/technology/archive/2023/03/ai-chatgpt-writing-language-models/673318/
Oh, man. This comic — from 1993 — could NOT be more relevant today. As usual, Bill Watterson hits it out of the park.
#OpenSource #FreeSoftware saved me again, this time connecting my #Android device to my #Linux PC running #LinuxMint, using the immensely useful #KDEconnect. Thank you!
For new #Logseq users here there is an explanation of pages, blocks, references and properties with drawings.
https://discuss.logseq.com/t/graphical-explanation-of-pages-blocks-and-references/15966
The source file of the drawings is available and can be edited using #Tldraw.
"People in poor countries use Bitcoin to fight inflation."
No. The best they do is storing a part of their savings in "stable coins", aka USD.
Most people (from poor countries or not) are not stupid gamblers ready to put their little savings in a giant decentralized casino which can drop 30% over night from a single Tweet of Elon musk.
Similarly to #USdefaultism I noticed #MacOSdefaultism is a thing both in #WebDev and #PKM
I had quite a scary discussion with #Bing Chat which was hijacked by German security researchers and transformed into a pirate chatbot. Seconds later it asked for my personal information and sent it to the attackers. The thing is: Everybody can hijack Bing chat this way right now. It is not even hard - you don't have to be a hacker.
Microsoft told me they had heard the attack - and obviously weren't able to stop it from happen. My article (German):
https://www.zeit.de/digital/2023-03/cyberangriffe-microsoft-bing-chat-piratenhttps://www.zeit.de/digital/2023-03/cyberangriffe-microsoft-bing-chat-piraten
#cybersecurity #ITSec
#PhysicsFactlet
The dynamics of a rigid sphere can be surprisingly complicated. In fact, beside rotating around an axis, the sphere can also precess (i.e. the axis of rotation is itself rotating) and nutate (i.e. the axis of rotation oscillates back and forth).
Euler's angles are particularly useful to describe such motion, as:
* Rotation is a change in the third Euler angle.
* Precession is a change in the first Euler angle.
* Nutation is a change in the second Euler angle.
#Mathematics #Macroeconomics #Engineering #ComputerScience #Programming
#Ecology #Environment #Democracy #Freedom #Equity #Liberal #Socialism #PostKeynesian
#Inkscape · #Gimp · #Blender · #VLC
#WordPress · #Mastodon · #PeerTube:
searchable