Category: Geometry
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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 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 Small Math Mistake that caused Huge Chaos
When Tiny Math Errors Caused Massive Disasters Aircraft Carrier Landing Strip Angles The Vasa The Laufenburg Bridge French High-Speed Trains Air Canada Flight 143 The S-80 Plus Class Submarines Amsterdam Housing Benefits The Titanic When Tiny Math Errors Caused Massive Disasters Aircraft Carrier Landing Strip Angles An aircraft carrier is a read more
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Every Proof That There Are Infinitely Many Primes Explained
What Is a Prime Number? Euclid’s Proof Factorial Proof Erdős’s Proof What Is a Prime Number? Think of a natural number. That is, a number used for counting, like six. Next, think of another natural number, like two. If we calculate 6 / 2, the result is 3. Since 3 is read more
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The Basic Math Iceberg Explained
The Math Iceberg Explained, Part 1 Counting Addition Subtraction Multiplication Division Equations Basic Geometry Order of Operations Decimals Factors Fractions Powers and Radicals Data Plots Variables Cartesian Coordinates Functions Additional Context on Number Systems Counting Counting is a method of finding what number of something you have. The number zero indicates read more
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Every Geometric Shape Used in 3D Printing Explained
The Geometry Behind 3D Printing 2D Profiles and Extrusion Platonic Solids Prisms and Pyramids Solids of Revolution The Torus Boolean Operations Parametric Surfaces The Geometry Behind 3D Printing 3D printing would not exist without geometry. Each generated object begins as a three-dimensional representation constructed from vertices, edges, and faces. This structure read more
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