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Intellectually Curious — 1,000 episodes · page 9 of 10
OEIS A000373: The Free Commutative Moufang Loop, Exponent 3, and the Identity That Determines Its Dimension
The Z-Pinch Renaissance: From Bennett Pinch to Fusion’s Comeback
OEIS A000372: Dedekind numbers
Order Theory Unveiled: From Chains to Lattices and Duality
The Nile: Gift of the Flood, Engine of Civilization, and Global Water Politics
OEIS A000370: NPN Equivalence Classes of Boolean Functions
OEIS A000366: Genocchi numbers of the second kind and the unexpected integer
The Gudermannian Bridge: From Maps to Machines
OEIS A000364: Euler numbers, secant numbers, and zigzag permutations
Measuring the Infinite: A Deep Dive into Measure Theory
Ichthyosaurs: Titans of the Triassic Seas
OEIS A000361: Fractal tilings with holes and positive measure
Modular Manifolds: Co-designing Stability for Large-Scale AI
Aluminum and the Hall–Héroult breakthrough in 1886
OEIS A000360: Distribution of non-empty triangles inside a fractal rep 4 tile
Ghosts in Gauge Theories: The Good, the Bad, and the Goldstone
The Carrington Event: Solar Fury, Telegraph Sparks, and the Modern Grid
Vizhapakar Dragons: Armenia’s 6,000-Year-Old Water Monuments
OEIS A000351: The Powers of Five
The Leiden Jar: From Lightning in a Glass to the First Battery
Polaritons: Light–Matter Hybrids and the Tech Frontier
Mosasaurs Unleashed: Lords of the Late Cretaceous Seas
Serpentine Soil: Evolution on Toxic Ground
OEIS A000350: Fibonacci numbers ending with their index in a base
GW190521: Echoes from a Parallel Universe?
OEIS A000347: Number of Partitions into Non-Integral Powers
Ouroboros: The Endless Loop of Change
Under Pressure: The Power of Superheated Water
OEIS A000346: Catalan Convolution and Dyck-Path Interpretations
History of the Picts
OEIS A000345: Partitions into non-integral powers
OEIS A000344: Fivefold Catalan Convolution, Lattice Paths, and Young Tableaux
OEIS A000343: Five-rooted trees and linear forests
OEIS A000342: Rooted trees of height 5
The Sandbox Economy — When AI Agents Build Markets
Ice Unplugged: The Hidden Electricity of Water's Freeze
OEIS A000341: Prime Pairs
OEIS A000340: Recursive sequences, explicit formulas, and generating functions
OEIS A000339: Partitions into non-integral powers
John Archibald Wheeler's Web: From Black Holes to It from Bit
Computational Neuroscience: From Ion Channels to Consciousness
OEIS A000338: Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4
The Jewel in the Proof: Exploring the Beauty of Mathematics
Cayley Transform: The Universal Bridge Across Real, Complex, and Hilbert Spaces
AI Agents for Economic Research: From Tools to Autonomous Researchers
OEIS A000337: From binary zeros to polyominoes and primes
Makemake: The Red World Beyond Pluto — Hidden Heat and Possible Ocean
OEIS A000336: Product recurrence and Hasler's elegant identity
From Clay Tablets to Code: A Global History of Books
Diella and the Digital Cabinet: Albania's AI Minister and the Battle Against Corruption
Kakeya Sets: From Vanishing Area to a 3D Breakthrough
Mars Clues: Biosignatures in Jezero's Bright Angel Rocks
OEIS A000335: Euler Transform of tetrahedral numbers (A000292)
Teleology Through Time: From Aristotle to AI and the Persistence of Purpose
Bridging Chaos and Order: Statistical Mechanics and the Power of Ensembles
OEIS A000334: Four-Dimensional Partitions
Spin Glasses: Disorder, Metastability, and the Slow Dance of Magnetism
Gaia Unfolded: Earth as a Living, Self-Regulating Planet
OEIS A000333: Partitions into non-integral powers
OEIS A000332: Binomial Coefficient C(n,4)
Santorini Unraveled: Dating the Minoan Eruption and the Bronze Age World
The Carnot Cycle — The Ultimate Efficiency Bound
Gibbs Paradox: Indistinguishable Particles and the Entropy Puzzle
Bell's Theorem: Locality, Hidden Variables, and Quantum Reality
Hilbert Space Unpacked: Infinite Vectors, Real-World Magic
OEIS A00331: Coefficient of nu in the Rayleigh polynomial (index 2n)
Cantor's Diagonal: The Hidden Order of Infinity
OEIS A000330: Square pyramidal numbers
The Doppler Dance: How Radial Velocity Reveals Exoplanets
OEIS A000329: Tangent Iteration Sequence
On-Device AI Unleashed: EmbeddingGemma and the Private, Fast Future
Skyhook: The Orbit-Sling That Could Change Spaceflight
Prince Rupert's Cube: A Tilted Passage Through Geometry
OEIS A000328: Circle problem — lattice points inside a circle
CD Decode: Reading Biomolecular Shapes with Circular Dichroism
OEIS A000327: Partitions into non-integral powers
OEIS A000326: Pentagonal numbers
Is the Heavy Cream Cinnamon Roll Hack Baking Magic?
OEIS A000325: 2^n - n
llms.txt: A Markdown Bridge for AI-Ready Web Context
Planetary Black Holes: Using Exoplanets to Hunt Super‑Heavy Dark Matter
OEIS A000324: The Infinite Coprime Sequence and the Lucas Connection
Time Crystals — Ground-State Clocks and the Quantum Frontier
The Pomegranate Odyssey: From Ancient Orchards to Modern Science
Silurian Renaissance: Sea-to-Land Leap and the Rise of Jawed Fish
OEIS A000323: Gauss circle problem—record lattice-point errors
Circulimulus discobulus: Bridging 80 Million Years in Horseshoe Crab Evolution
The Cosmic Shoreline: Do Exoplanet Atmospheres Survive Around M Dwarfs?
OEIS A000322: Pentanacci numbers
History of IBM: From Punch Cards to AI and Hybrid Cloud
OEIS A000321: Hermite polynomials evaluated at 12
Quantum Vortices: From Superfluids to Superconductors and Beyond
OEIS A000320: Generalized tangent numbers d(5,n)
OEIS A000319: Tangent Iteration
Anticipated Regret: How Fearing 'What If' Shapes Our Decisions
Mangle decoded: Recursion, rules, and real-world data with Datalog
DuckDB v1.3.0: The Spatial Join Breakthrough — From Nested Loops to an On-the-Fly R-tree
OEIS A000318: Generalized tangent numbers d(4,n)
OEIS A000317: Quadratic recurrence and integer polynomial binomial coefficients
The Great Dying: Earth's Worst Extinction Event