Category: Visual Math
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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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How Every Dimensions Actually Work (You Probably Didn’t Know)
Every Dimension Explained Zero Dimension (0D) One Dimension (1D) Second Dimension (2D) Third Dimension (3D) Fourth Dimension (4D Spacetime) Higher Dimensions in Mathematics Functional and Infinite Dimensions Fractals and Fractional Dimensions Curved and Warped Dimensions Applications and Modern Theories Every Dimension Explained Zero Dimension (0D) Zero dimension corresponds to the point, 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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Every Proof That 0^0 is 1 but they get increasingly complex
Why Mathematicians Often Define 0⁰ as 1 The Empty Product Combinatorics and Tuples Functions and the Empty Set Further reading Why Mathematicians Often Define 0⁰ as 1 Throughout mathematics, 0⁰ is a notoriously problematic expression. Is it defined to have a value of 1, or does it have no mathematical meaning read more
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The Discovery of the Atom Explained (From Ancient Greece to Bohr)
The Ancient Idea of Atoms John Dalton and Chemical Ratios J. J. Thomson and the Electron Rutherford and the Gold Foil Experiment The Problem with Classical Physics Niels Bohr and Quantized Energy Levels Toward Quantum Mechanics Further Reading The Ancient Idea of Atoms Our understanding of matter, everything we can touch, 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 in Calculus That Sound Easy
The Casas-Alvero Conjecture The Riemann Hypothesis Navier-Stokes Existence and Smoothness The Jacobian Conjecture The Casas-Alvero Conjecture If an integer k can be expressed as the product of two integers m and n, then m and n are called factors of k. A common factor of two integers is a factor shared read more
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Every Geometry Paradox That Shouldn’t Be Possible
The Missing Square Puzzle The Laves Paradox The Ebbinghaus Illusion The Klein Bottle The Penrose Stairs The Missing Square Puzzle The triangle puzzle with the missing square is one of the most well-known examples where geometric intuition fails. At first glance, the problem seems simple. Two triangular figures are composed of read more
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Every Core Math Concept Explained
Terminological precision in mathematics is not a mere formality but has profound consequences for the logical structure and understanding of mathematical theories. In the mathematical and scientific field, the concepts of principles and laws play a fundamental role in the formulation of knowledge. Although both terms are often used interchangeably in everyday language, in the read more
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