SpaceX has exercised the option to acquire @cursor_ai in an all-stock transaction with the goal of building the world’s most useful AI models.
For the past few months, SpaceXAI has been jointly training a model with Cursor, which will be released in Cursor and Grok Build soon.
We look forward to working closely with the Cursor team to advance our frontier AI capabilities
Prepare for takeoff. ✈️ Flight simulator is now available globally on web to all users. https://t.co/hQP0No142P
We've recently added many our most powerful professional desktop features to web. Elevation profiles, new import types, but there's always been one other feature you've been asking us to add to the web version of Google Earth, just for fun...
Where will you fly? Share your best maneuvers, views, and flyovers with us!
The next war won't be won by armies, navies or air forces alone.
It'll be won by the country whose 19 year olds can code, whose factories can build drones in weeks not years, and whose grid stays on when someone tries to switch it off.
Industry. Society. Economy. That's the fight now.
We're not ready. And we're not being honest about what getting ready will cost.
Check out this absolute master piece by Jonathan Gratus titled '' A Pictorial Introduction to Differential Geometry, Leading to Maxwell Equations in 3 Pictures'' which is available on arXiv.
To quote the author: ''When I was young, somewhere around 12, I was given a book on relativity, gravitation and cosmology. Being dyslexic I found reading the text torturous. However I really enjoyed the pictures.''
It's a short primer, full of nice figures, perfect for those who love visual examples.
I think one of the roles we play as mathematicians in society is to help people become acquainted with the underlying secret patterns. I have been working for several years on projects in crystallography, where we study crystal structures. But few people know that such periodic patterns come with severe constraints on their symmetry. In the plane, there are 17 different symmetry types, a fact well known even to the designers of the mesmerizing patterns of the Alhambra.
Here you can find and experiment with such tilings in the plane, gaining insight into the intrinsic beauty of the so-called wallpaper groups, the crystal symmetries in dimension 2. The app interactively helps you design symmetric patterns with colors and shows how changes in the structure of the unit cell propagate via symmetry.
https://t.co/imr4f8ORGZ
In dimension 3, if you look into International Tables for Crystallography, Vol. 1, you will find a theorem due to Schoenflies and Fedorov stating that there are 230 such symmetry types, a cornerstone of modern chemistry.
Beyond that, in dimensions 4 and higher, a count can be made, but it requires a proof of the general theorem due to Frobenius and Bieberbach. This was an answer to the first part of Hilbert’s famous eighteenth problem.
One of the fun consequences of such a classification is that in dimensions 2 and 3, 5-fold symmetry is forbidden in regular periodic arrangements. Intrinsically, this fact is related to the existence of matrices with a fifth-root-of-unity eigenvalue. For integral matrices, this is possible only in dimensions 4 and higher.
If you generalize the square and cube tilings to dimensions 4 and 5, obtaining hypercubic tilings, the 5-fold symmetry pattern emerges. Skew projections of the 5D hypercubic tiling onto a 2-dimensional plane give rise to a quasicrystalline tiling known as the Penrose tiling. You can find such patterns in front of the Andrew Wiles Building at the Oxford Mathematical Institute.
In later posts this summer, I will take a deep dive into group homology, a modern tool for studying the geometry of crystals. There are still many open questions, for example, how many symmetry types exist exactly in dimensions beyond 6. This is still largely unknown; at present, we only have asymptotic lower bounds.
Don’t get why nobody’s doing the math on this. If typical road width (Whitehall) is ~30m, crowd length ~3km. And topical person occupies 0.5 sqm then N ~ 180,000 as an estimate.
Unite the Kingdom Rally in London today.
London Met Police: Only 50,000 attended the march.
Grok: Estimates the number of people in this photograph alone at 200,000 - 400,000.
Globalists, you’re on notice.
Diane Abbott, visiting a school. She noticed a boy in the field standing alone, while all the other kids are running around having fun. She took pity on him and decided to speak to him...
“You OK?” she says.
“Yes” he replied.
“You can go and play with the other kids” she responds.
“It's best I stay here” he replied.
“Why?” said Diane.
“Because I'm the goalkeeper” 😂😂😂
If you are building in Bangkok, this event is for you 🫵
Following our success with "Thailand in the AI Race," we are taking the next step: Physical Infrastructure.
We are proposing that Tobacco Factory 5 (โรงงานยาสูบ 5) - the historic space right behind QSNCC and next to Benjakitti Park be transformed into the city's first AI Builder Hub.
By utilizing vacant BMA assets, we create a high-density zone where policy meets product. The "trust-layer" of AI including capital, talent, and infrastructure, which needs a center of gravity. This is it.
Join us at the site on May 12 for our AI DEMO DAY
📍 Location: Tobacco Factory 5, Benjakitti Park
The Agenda:
14:30 | Doors Open: Check-in via AI Passport
15:10 | Forum 1: Built in Bangkok -Why Builders Choose This City
16:00 | BKK Showcase: part 1
16:40 | Forum 2: Scaling the Engine - Capital, Infra & BKK’s AI Future
17:20 | The Hero Workshop: Live Build
18:20 | BKK Showcase: part 2
Bangkok is not staying on the sideline, Bangkok is the platform.
Registration link below 👇
@ivrespecter@jac_siuhaj Gravitational is from Moon-Earth system, creates tides, can capture that energy.
As the gravitational energy put into the tides is dissipated (heat) there is a consequence of the Moon slowly drifting away from the Earth.
@ivrespecter@jac_siuhaj There are only 3 fundamental sources of energy available to us: solar, nuclear, gravitational
Hydrocarbons are just 'non rechargeable batteries' for solar (photosynthesis creates carbs, plants grow, animals eat plants...)