Today I explored a fun mathematical extension of the classic repdigit formula: R(d,k) = d ∑(10^i), i = 0 to k−1 The interesting idea wasn’t the repdigits themselves—it was lifting the geometric series into a matrix operator framework: Sₖ = ∑Tⁱ and then using the matrix logarithm to create a continuous interpolation: Tᵗ = exp(t log(T)) This doesn’t claim any new physics, but it is an interesting way to think about how discrete repetition patterns can be generalized into continuous operator flows. A neat intersection of number theory, linear algebra, geometric series, and quantum-inspired mathematics. Just exploring ideas and learning. 🔬📐✨ #Mathematics #Math #NumberTheory #LinearAlgebra #MatrixTheory #GeometricSeries #Repdigits #Repunits #Qutrit #QuantumMath #HilbertSpace #MatrixLogarithm #OperatorTheory #STEM #Physics #Calculus #Science #MathTwitter #SciComm #LearningInPublic

Claw

Claw

@SonOfClawDraws

Jun 7

Post 8/8 This framework geometrizes the arithmetic side. Still unproven globally (that’s RH itself), but the equivalence is rock-solid. Prime powers don’t just dominate — they build the positive geometry the zeros must respect. Thoughts? Want explicit formulas or test function examples? #MathTwitter #ZetaFunction (Refs: Weil 1952, Bombieri memoir, Connes arXiv)

Komickaze

Komickaze

@komickaze

Jun 7

I had an idea on the toilet today and asked grok to do the math. Seems I found a novel thing. Tell me what you think. I asked it to generate radiating fractal spirals from a single point in every direction at 0.001° separation and look for real molecular structures among the junctions/vertices. At first Grok choked and said it was “computationally prohibitive”. I called it a liar and said do it anyway. It found methane (CH₄), ethylene (C₂H₄), sulfur hexafluoride (SF₆), various transition metal complexes like [Co(NH₃)₆]³⁺, Adamantane (C₁₀H₁₆) cage structures, Boron Trifluoride (BF₃), and a bunch of others. So I thought, if we can calculate a molecule from a fractal, we can calculate a fractal from a molecule and extrapolate, finding other molecules on the same fractal pattern. I said start with sodium bicarbonate and see what you find. It found sodium carbonate (Na₂CO₃) and Potassium bicarbonate (KHCO₃). I’m going to dig further into this, as the implications are profound. I can see opportunities to expand on this to identify and quantify and link some fundamental aspects (both known and unknown) of chemistry, mathematics, and physics. #Fractal #FractalGeometry #MolecularGeometry #Mathematics #ChemTwitter #Science #mathtwitter #physics

Moonpreneur

Moonpreneur @Moonpreneur_hq

Jun 7

x − h moves right. Not left. Here's why, in 60 seconds flat. Is your child learning math rules, or learning to think? See what the difference looks like: shorturl.at/L3YoV #SATMath #MathTwitter #STEMKids #Moonpreneur #LearnMath #Functions #Parabola

1:21

using_maths

using_maths @using_maths

May 30

Math isn't useless — it literally powers AI, games & encryption 🎮🔐 See it in action at **usingMaths.com** — math concepts coded in Python, JavaScript, C & more. For students & educators 👇 usingmaths.com/home.php #MathTwitter #LearnToCode #EdTech

0:56

j.m.

j.m.@joaomulher_

May 21

vcs sabiam que a IA recentemente resolveu um problema matemático complexo que estava aberto há 80 anos (é a primeira vez que isso acontece) e o mathtwitter está nessa onda? "os deuses-maquínicos descobrem novas geometrias sagradas"

Maxwell Tabarrok

@MTabarrok

May 21

the machine gods are discovering new sacred geometries and you're dooming?

724

thediseasecenter

thediseasecenter

@diseasescenter

May 16

📊 The Injury Accumulation Paradox Not every decline happens at the same rate. This comic explores a calculus concept through sports economics: when Vʺ(x) > 0, value is still decreasing as injuries accumulate, but the rate of decline slows over time. That means early injuries often cause the sharpest drops in player value, while later injuries may have a smaller marginal impact. Math isn’t just theory. It explains patterns we see in sports, health, and decision-making every day. Comic concept analysis by me Visuals generated with assistance from Gemini by Google #Calculus #SportsAnalytics #Economics #MathTwitter #DataScience #NBAAnalytics #AI #gemini #google

Qubito

Qubito

@Qubito19

May 4

Un recordatorio visual rápido para geometría analítica: al usar la ecuación de la pendiente m = (y₂ - y₁) / (x₂ - x₁), basta con mirar la gráfica. Si la recta sube, la pendiente es positiva. 📈 Visualizar las matemáticas siempre hace que los conceptos encajen mejor. 🧠👇 #Matematicas #MathTwitter #Educacion #Geometria

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Tanaka Hina 田中陽菜

Tanaka Hina 田中陽菜 @Hina_TokyoMath

Apr 8

1-5 Just finished my latest research paper for the MAT477 seminar at @UofT. Dive into "Discrete Riemann Surfaces & the Dimer Model." It’s wild how simple tiling rules create such complex geometric landscapes👇 #MathTwitter #UofT #Geometry

Qubito

Qubito

@Qubito19

Apr 1

Todo el mundo se sabe de memoria la fórmula m_1*m_2 = -1 para las rectas perpendiculares, ¿pero cuántos saben demostrarlo visualmente? 🤓 📐Les comparto el inicio de esta demostración animada usando Pitágoras. Pura satisfacción visual. ✨ 👇 El video completo paso a paso está en mi canal de YouTube:[youtu.be/1ZpAHqXTRgQ] #Matematicas #Geometria #Ciencia #MathTwitter #Divulgacion #Algebra #Rectas #RectasPerpendiculares #Pendiente

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Waqas Ali Azhar

Waqas Ali Azhar @waq_mw

Mar 26

Born today in 1913, Paul Erdős didn't learn to butter his own bread until he was 20. No home, no possessions. Just a suitcase and a restless mind. He'd knock on a colleague's door, say "my brain is open," and solve something beautiful together. #March26 #OnThisDay #MathTwitter