You can turn a sphere inside out without tearing, poking holes, or creating a single crease - and this is not a trick, it is a proven mathematical theorem. You cannot do the same thing to a circle. The reason is a topological invariant called the turning number, and it is the same invariant governing the geometry every LLM embedding space is built on. Stephen Smale proved eversion was possible in 1957. It took seven more years before anyone found a way to actually do it.
The mechanism is corrugation. Divide the sphere into guide strips connected by wavy sections that let the surface pass through itself without pinching. Push the caps past each other before a crease forms. Twist them in opposite directions - the same way a belt with a loop untwists when you rotate each end half a turn. Then push the equator through and uncorrugate. Bowls, domes and saddles cancel in a pattern that stays invariant throughout - the same structure that makes high-dimensional transformer geometry behave nothing like 3D intuition.
21 minutes. Bookmark & watch today. The mathematical proof that breaks every intuition you have about surfaces.
This is pinhão, a traditional South American seed from the ancient Araucaria tree.
People in Brazil and nearby regions have been eating it for generations.
These two stars are NOT moving.
When the luminance of the background is changed over time, a strong illusory motion is perceived and the stars appear to move.
[🎞️ jagarikin]
The universe is predictable, until it isn't.
This wheel isn't broken; it’s caught in a tug-of-war between gravity and momentum. Even though the water falls at a constant rate, the wheel’s direction is hypersensitive to the tiniest change.
Saffron is the most expensive spice in the world and it's often subject to adulteration or substitution with cheaper materials.
This is what fake saffron looks like in water vs the real one.