Carly Simon ๐ฉ๐ชYou're So Vain
Happy Birthday to the legendary Carly Simon, born June 25th, 1943 ๐๐๐
One of the most iconic voices and songwriters of the 1970s, and still keeping us guessing with one of rock's greatest mysteries
#CarlySimon๐น
In 1963, Manhattan Project mathematician Stanislaw Ulam was doodling numbers in a spiral during a boring lecture and noticed something that shouldn't be possible.
Prime numbers numbers that are supposed to scatter randomly lined up into clean diagonal streaks across the page.
For sixty years this sat as an open anomaly.
Mathematicians confirmed it kept happening no matter how far out you drew the spiral, but nobody could explain why the universe would organize "random" numbers into geometry.
We think we've solved it.
Take any prime number bigger than 3 and divide it by 9. Look only at the remainder. There are 9 possible remainders, but primes can only ever land on 6 of them the other 3 are automatically ruled out because they're divisible by 3, which makes a number composite by definition.
So every prime that has ever existed or will ever exist is funneled into exactly 6 fixed positions.
Those 6 positions aren't random either. They split into two locked groups of three, each spaced perfectly 120ยฐ apart and the gaps between consecutive primes act like gears, forcing the sequence to step between these positions in a strict, predictable pattern we call the Prime Gap State Machine.
When you take Ulam's flat 2D spiral and lift it into this structure, his mystery diagonals stop looking accidental. They're the visible seams of an underlying lattice built from just the primes 2 and 3.
Watch the simulation
Hard Wall primes (remainders 1, 4, 7) lock into one triangle.
Temporal primes (remainders 2, 5, 8) lock into the other. The dark empty channels you see threading through the spiral are the Spine the positions no prime is allowed to occupy, ever.
It isn't random. It's a lattice with exactly two moving parts.
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#NumberTheory #Physics #Mathematics #CTFTheory #UlamSpiral
Released in 1980, ๐๐ฟ๐ฎ๐บ๐ฎ remains one of the most divisive albums in ๐ฌ๐ฒ๐ history. With Jon Anderson and Rick Wakeman gone, and Trevor Horn and Geoff Downes stepping in, the band took a bold new direction that still sparks debate among fans today.
What are your thoughts on Drama? Was it a brave reinvention of Yes, or did it stray too far from what made the band special?
Julian Dorey w/ Randall Carlson - The 1871 Fires Were NOT Natural
The Great Chicago Fire.
The Peshtigo Fire.
The Manistee Fire.
All three burst out *simultaneously* on October 8, 1871 โ across different cities, different states.
2,000+ dead. 3.8 million acres burned in hours.
Carlson breaks down why this wasn't just bad luck with a lantern.
Full Episode: https://t.co/73ZYpN1z9f
"I often saw Freddie preparing to go on stage. Swigging down a few vodkas, heโd warm up his voice with a run of vocal exercises. His valet would have his stage clothes laid out for him. After one last puff on a cigarette, he would rush through his door to the stage to the cheers of Queenโs adoring fans. He was like a hurricane. 'When Iโm on stage, I become very different,' he said. 'There are no half measures. You have to be resilient to be a rock star, you canโt falter once'"
- David Wigg
#FreddieMercury ๐๐