Tag: math education
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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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Amazing Things You Can Do in Geometric Algebra Explained
Geometric Algebra Explained: Vectors, Bivectors, and the Geometric Product Vectors and Scalars Scalar Multiplication and Vector Addition The Dot Product The Wedge Product The Geometric Product Geometric Algebra Explained: Vectors, Bivectors, and the Geometric Product Geometric algebra opens up a whole new world of possibilities in math and physics. It 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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Newton Discovers Gravity & publishes Principa Mathematica
In 1666, Isaac Newton was sitting in his garden when he observed an apple falling straight down. He wondered why it always falls down and not sideways or up. Then it hit him. Maybe the same invisible force pulling the apple to the ground is also what keeps the moon from flying off into space. read more
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