Category: Geometry
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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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Every Unsolved Circle Problem that Sounds Easy
Five Circle Problems That Are Way Harder Than They Look The Erdős-Oler Conjecture The Gauss Circle Problem The Kissing Number Problem Unequal Circle Packing Sendov’s Conjecture The Erdős-Oler Conjecture A unit circle is a circle whose radius (the distance from the center to the edge) is 1. An equilateral triangle read more
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Unsolved Math Problems That Took Centuries to Solve
Famous Math Problems That Took Centuries to Solve Squaring the Circle Euler’s Sum of Powers Conjecture The Four Color Map Theorem Legendre’s Constant Fermat’s Last Theorem Squaring the Circle We begin with a sheet of paper, a pencil, and only two other tools. The first is a straight edge, a ruler read more
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Every Equation That Changed History Explained
Timeline of Equations That Changed the World 6th Century BC: Thales’ Theorem 6th Century BC: Pythagorean Theorem 300 BC: Euclid’s Theorem 250 BC: Archimedes’ Principle of Flotation 200 BC: Conic Sections First Century AD: Heron’s Formula 1202: Fibonacci Sequence 1609: Kepler’s Laws of Planetary Motion 1614: Logarithms 1637: Cartesian Plane 1637: read more
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