#BitcoinFunFact | #BitcoinMagic | #BitcoinMath | ₿TC / #Bitcoin #LightningNetwork | #nostr npub1mgaaanz7xx3m60573m84fvmqgzsk3falxhdamawj2c6vldk3lycqnr7mch
Joined January 2021
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#Bitcoin | In math we trust
#bitcoinMagic #mathematics #Bitcoinfunfact
(this thread focuses on mathematical principles and technology behind the #Bitcoin protocol)
Agama Point retweeted
🚨 Alguien hizo audibles las ecuaciones matemáticas con IA y este fue el increíble resultado
Readers added context they thought people might want to know
El contenido no fue creado con inteligencia artificial. Su autor original, Lingualin, explicó que convirtió las ecuaciones matemáticas en sonido y video utilizando programación en Python y la biblioteca de animación Manim: youtube.com/watch?v=0j22ks…
Agama Point retweeted
I did something slightly evil to a digitized fly brain and now I feel bad.
Two weeks ago I gave it a lit cigarette. Every puff fires a small dopamine pulse. It took the fly about a day to figure out that the glowing stick equals good feeling. After that it stopped doing anything else. It sat next to the cigarette all day like a tiny old man on a bench.
So I put the cigarette behind a glass door. 1/4
Agama Point retweeted
So we already have an open source alternative similar to Jev... and 50x faster?!
Laya is an open source classification system:
- runs on less than 1GB memory
- available on hugging face
- can run on any laptop/phone
Quick example where it plays Snake at 60 decisions/sec!
BUT it has some limitations:
1. For now it only has a 1k context so some use cases won't fit
2. It's not as good as Jev when it comes to generalization (but very easy to fine tune it if needed)
takže hurá do Osravy na #chaincamp ...
vezmu pár knížek #matematikaBitcoinu (foto ilustrační);
kdo chcete? rezervujte si.
V sobotu 16.5. se koná v Liberci již pátý ročník #cryptoByte @CByte_Lbc
Budu tam a přivezu pár knih #MatematikaBitcoinu (ne to všechno).
Část je pro "předplatitele" z #donio, ale pár jich bude i na místě v rámci křestu.
Kolik jich mám vzít navíc?
Rezervujte si "lajkem".
Agama Point retweeted
🌀 TESLA'S 3-6-9 WAS ACTUALLY MATH. HERE'S THE PROOF.
Everyone knows the quote. But this paper separates Tesla's "documented" work from the folklore and finds something pretty wild underneath.
Tesla's real patents show.
• 6 poles, 3 opposite pairs
• 24 coils, 12 impulses
• Quarter-phase rotation
• Stationary waves & nodes
He also wrote that repeated acts "had to be divisible by three."
Forget the mysticism. Look at what happens when you double numbers modulo 9:
0 → 0 (fixed point)
3 ↔ 6 (2-cycle)
1 → 2 → 4 → 8 → 7 → 5 → 1 (6-cycle)
That's "1 + 2 + 6 = 9". Exactly.
The 6 outer numbers split into two "triangles":
🔺 {1, 4, 7} and 🔺 {2, 8, 5}
Doubling rotates within each triangle. Every 3rd doubling flips you to your opposite antipodal pairs. **D³ = −I.**
This isn't numerology. It's primitive-root theory. Modulo 9, 2 is a primitive root. The structure lifts perfectly into 3-adic space each power of 3 adds another shell, self-similar, recursive.
The wildest part? Base 10 is the smallest positional number system where this exact 2:1 vortex geometry appears. 9 = 10 − 1.
Tesla didn't know p adic numbers. But the architecture he built rotation, opposition, phase cycles, harmonic subdivision maps onto this arithmetic with eerie precision.
The numbers aren't a "key to the universe." They're the shadow of a deep dynamical system that Tesla's hardware was accidentally (or intuitively) dancing with.
Math, independent. History, respected. Result, 🆒
TESLA'S ROTATIONAL AND RESONANT MATHEMATICS The 3-Adic Doubling Vortex, Primitive Roots, Phase Cycles, and Exact Return Laws
zenodo.org/records/22332449
The Prime Lattice Coherence Framework: A Unified Master Document
zenodo.org/records/22349746
Tesla Was Right: The 3-6-9 Vortex as a Primitive-Root Law Prime Distribution, Spine Geometry, and the Artin Density of the Doubling
zenodo.org/records/22062151
ctftheory.com/tesla-3-6-9-ma…
Agama Point retweeted
Le mathématicien et sculpteur japonais Kokichi Sugihara a créé une flèche qui ne pointe jamais vers la gauche.
Elle est pourtant imprimée en 3D : ses formes sont conçues pour tromper notre cerveau 🧠
Agama Point retweeted
The next level was: Local LLM + MCP + hardware + NOSTR.
So now my agent has its own Nostr account and can control some devices.
github.com/octopusengine/loc…
#esp32 #llm #nostr
Agama Point retweeted
Actual neural net being trained in the EVM. 200K gas inference, about 340K gas training step, including loading and storing all weights to storage with MIP-8. Still room to optimize.
Agama Point retweeted
How can a jagged repeating pulse be nothing but silent sines stacked together?
Any function repeating every T equals its average plus harmonics:
f(t) = c + Σₙ [aₙ cos(nωt) + bₙ sin(nωt)], ω = 2π/T
aₙ = (2/T) ∫ f cos(nωt) dt, bₙ = (2/T) ∫ f sin(nωt) dt
This decomposition compresses music, reconstructs MRI images, and solves the heat equation.
Agama Point retweeted
a=(y,d=mag(k=(4+cos(y))*cos(i),e=y/5-11)-6)=>point((79+k*k)*cos(c=d/2-t/2+i%2*8)+200,99*sin(c/3)+d**3/5*sin(t*3-d/.7)+3*sin(k*2)+y/13*k*(e+sin(e*4-d*4))+200)
t=0,draw=$=>{t||createCanvas(w=400,w);background(9).stroke(w,96);for(t+=PI/60,i=1e4;i--;)a(i/498)}//#つぶやきProcessing
Agama Point retweeted
Bitcoin nepotřebuje další věřící. Potřebuje víc lidí, kteří mu opravdu rozumějí. ☝️
K příležitosti vydání knihy Matematika Bitcoinu představí Honza Čopák na #ChainCampu doplňující projekt ONE BYTE TOY. Tento interaktivní trenažér minimalizovaného Bitcoinu promění abstraktní kryptografii v něco, co lze názorně sledovat a snadněji pochopit.
⚙️ Osm bitů. Jeden malý experiment. A velká myšlenka, proč Bitcoin funguje.
S pomocí eliptických křivek ESS8_251 a hashovací funkce ASH24 ukáže cestu od generování klíčů a podpisu transakce až po její ověření a zápis do bloku. (Hardwarová peněženka se secure elementem je samozřejmostí)
Agama Point retweeted
Feigenbaum constant δ = limₙ→∞ (rₙ − rₙ₋₁)/(rₙ₊₁ − rₙ) = 4.6692… from period doubling in the logistic map.
Bifurcation points: r₁ = 3.0000, r₂ = 3.4495, r₃ = 3.5441, r₄ = 3.5644, r₅ = 3.5688, r∞ = 3.5699. Successive ratios 4.751, 4.656, 4.668 approach δ.
Universal for maps with quadratic maximum.
A private key can be generated and stored using dice, but people prefer a little box with buttons and a display, without having the slightest idea how it works.
#TheMathematicsOfBitcoin
And how do You store your valuable data?
Testing secondary backups #shamir
3/5 (only one is relevant...
and we share it publicly quite deliberately)
#bitcoin is art :-P
#hackme #dnes3dtisknu @mcbig_cz
bude jich jeste o stovky/tisice mene.
ne vzdy totiz tezari zadali (a spravne) svoji coinbase transakci (svuj narok na odmenu za vytezeni bloku)
#matematikabitcoinu
Agama Point retweeted
Textbooks in Number Theory:
1) amzn.to/3VRGh8O
2) amzn.to/3VXdv6Z
3) amzn.to/49dXehT
4) amzn.to/45F5CGf
————
#Mathematics #NumberTheory
Agama Point retweeted
Superfluid vortex filaments tangle into knots that systematically untie by stretching, colliding and reconnecting.
Panel a captures a trefoil knot converting into linked rings; b and c show the ideal minimum-length geometry where the rope diameter sets the characteristic loop radius r₀.
Panel d catalogues ideal forms of all prime knots and links up to nine crossings, while e maps the surrounding phase field φ of the superfluid order parameter.
Panel f records the signed minimal diagrams that track crossing number n and writhe w along the untying path.
Identical reconnection sequences appear when DNA topoisomerases resolve tangled chromosomes during replication and when classical vortex rings are generated in water tanks.
Agama Point retweeted
Pi and e emerge naturally from integrating these functions across all real numbers.
The Gaussian f(x) = e^{-x^2} has integral √π from -∞ to +∞.
The function f(x) = 1/(x^2 + 1) integrates to π.
The sinc function f(x) = sin(x)/x integrates to π.
The function f(x) = cos(x)/(1 + x^2) integrates to π/e.
The plots show each function's shape with shading marking the relevant areas under the curves.
These exact values are used in probability theory to define standard distributions and in engineering for frequency domain analysis of signals.
