Category: Visual Math
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Every Scale used to Measure Natural Phenomena Explained
Hurricanes and the Saffir-Simpson Scale Earthquakes and the Richter Scale The Moment Magnitude Scale Tsunamis and the Imamura-Iida Scale Tornadoes and the Fujita-Pearson Scale Volcanic Eruptions and the VEI The Role of Mathematical Models Hurricanes and the Saffir-Simpson Scale Hurricanes, cyclones, and typhoons are the same meteorological phenomenon: a storm system read more
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Every Proof that √2 is Irrational but they get increasingly more complex
Four Proofs That √2 Is Irrational Proof by Contradiction Prime Factorization Proof Infinite Descent Proof Reciprocal Proof Four Proofs That √2 Is Irrational The square root of 2, or 2^(1/2), is irrational. That is, it’s a real number that cannot be expressed as the ratio of two integers. Its decimal expansion read more
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Every Complex Geometry Shape Explained – Full Video
The Apollonian Gasket The Golden Spiral The Torus The Mucube The Burning Ship Fractal The Sierpiński Triangle The Tesseract The Klein Bottle The Mandelbrot Set The Weierstrass Function Seifert Surfaces The Apollonian Gasket Let’s start by drawing a circle named C₁. Note that we’re not including the inside region as part read more
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Every Weird Geometry Paradox Explained Part 1
Every Geometry Paradox Explained String Girdling Earth Coin Rotation Paradox Staircase Paradox Sphere Eversion Banach-Tarski Paradox Every Geometry Paradox Explained Geometry is not always as straightforward as it seems. Some of its most surprising results look like errors at first glance but hold up completely under scrutiny. Here is a read more
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Every Higher Dimensional Geometry Shape Explained
Every Higher-Dimensional Geometry Shape Explained Hypercubes Hyperspheres and Hyperballs Polytopes Simplexes Hyperplanes Hypercubes In one-dimensional (1D) space, a line segment is bounded by two points. In 2D space, a square is bounded by four line segments (if we include the inside region as part of the square). In 3D space, a read more
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Every Complex Geometry Shape Explained
Every Complex Geometry Shape Explained Sierpinski Triangle Tesseract Klein Bottle Mandelbrot Set Weierstrass Function Seifert Surface Every Complex Geometry Shape Explained Geometry is not just about simple shapes. Some of the most fascinating objects in mathematics are staggeringly complex, emerging from surprisingly simple rules. Here is a tour through some of read more
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Every Unsolved Geometry Problem that Sounds Easy
Five Geometry Problems That Look Simple but Remain Unsolved Square Packing Bellman’s Lost in a Forest Problem Ulam’s Packing Conjecture Lebesgue’s Universal Covering Problem Moser’s Worm Problem Kobon’s Triangle Problem Five Geometry Problems That Look Simple but Remain Unsolved Square Packing A unit square is a square with a side length read more
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Every Massive Number Explained
The Biggest Numbers in Mathematics Googol The Shannon Number Skewes’ Numbers Graham’s Number TREE(3) Rayo’s Number The Biggest Numbers in Mathematics Googol A googol is 10¹⁰⁰. Written out, this is a 1 followed by 100 zeros. It is also known as ten duotrigintillion. The word “googol” was originally invented by Milton read more
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Every Greek Letter in Math Explained
Every Greek Letter Used in Mathematics, Explained α (Alpha) β (Beta) Γ/γ (Gamma) Δ/δ (Delta) ε (Epsilon) ζ (Zeta) η (Eta) θ (Theta) ι (Iota) κ (Kappa) λ (Lambda) μ (Mu) ν (Nu) ξ (Xi) ο (Omicron) π/Π (Pi) ρ (Rho) Σ/σ (Sigma) τ (Tau) υ (Upsilon) φ (Phi) χ (Chi) read more
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Every Unsolved Math Problem that Sounds Easy – Part 2
Six Deceptively Simple Unsolved Problems in Mathematics Mersenne Primes Perfect Numbers The Rational Distance Problem The Moving Sofa Problem The Inscribed Square Problem The Ramsey Theory Problem Six Deceptively Simple Unsolved Problems in Mathematics Mersenne Primes One unsolved problem in mathematics concerns whether or not there are infinitely many Mersenne primes. read more
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