Category: Geometry
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What Is Pi? Explained in 37 Seconds
Pi: The Most Famous Number in Mathematics Pi (π) is a fundamental mathematical constant that represents the ratio of a circle’s circumference to its diameter: π = C / d ≈ 3.14159265… The Greek letter π is the first letter of the Greek word perimetros, meaning circumference. It was first calculated by the ancient Greek read more
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Greatest Mathematicians and their Discoveries – Part 2
A Timeline of History’s Greatest Mathematicians Ancient Mathematicians Thales of Miletus is a foundational figure in Greek mathematics and philosophy, credited with early developments in geometry, including Thales’s theorem. He is also renowned for predicting a solar eclipse. Thales hailed from Miletus, Ionia, now in modern-day Turkey. Anaximander, an early Greek philosopher and mathematician from read more
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Why Catalan’s Constant Still Puzzles Mathematicians
Click the link for the full video on Math Constants! Thanks for watching! Here’s your formatted article: Catalan’s Constant: A Famous Unsolved Mystery in Mathematics Catalan’s constant is a well-known mathematical constant defined by the infinite series: It is named after the Belgian mathematician Eugène Charles Catalan, who first gave an equivalent series and expressions read more
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Every unsolved problem in mathematics
Notable Conjectures and Unsolved Problems in Mathematics Table of Contents Toggle Casas-Alvero Conjecture Riemann Hypothesis Navier–Stokes Existence and Smoothness Jacobian Conjecture Erdős–Oler Conjecture Gauss Circle Problem Kissing Number Problem Unequal Circle Packing Sendov’s Conjecture Tripod Packing Thomson Problem Levi–Hadwiger Conjecture Heesch Problem Kalai’s 3d Conjecture Casas-Alvero Conjecture If an integer k can be expressed as read more
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The Greatest Accidental Math Breakthroughs
Great Mistakes and Discoveries in the History of Mathematics Non-Euclidean Geometry For more than two millennia, Euclidean geometry stood as an unquestioned paradigm of physical space. Its fifth postulate, the parallel postulate, stated that through a point outside a given line, only one parallel line could be drawn. This axiom proved particularly problematic, as unlike read more
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Pi Explained in 30 seconds π
Overview Pi (π) is a fundamental mathematical constant that represents the ratio of a circle’s circumference to its diameter. It was first calculated by the ancient Greek mathematician Archimedes. Origin of the Symbol The Greek letter π (pi) is the first letter of the Greek word perimetros, meaning “circumference.” Discovery Pi was first rigorously calculated read more
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Greatest Math Theories Explained
Fundamental Mathematical Concepts and Theories. Part 1: https://www.youtube.com/watch?v=21iE2XQ9gAUPart 2 https://www.youtube.com/watch?v=kesaUCEoPbA Pythagorean Theorem This theorem is about right-angled triangles, which have one angle that is exactly 90°. It states that if you take the lengths of the two shorter sides of the triangle (called the legs) and square them (multiply each by itself), then add those read more
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Second Feigenbaum Constant (α) Explained (Chaos Theory)
The second Feigenbaum constant, written as α and approximately equal to 2.503, describes how the size of structures in a chaotic system scales as it undergoes period doubling. While the first Feigenbaum constant controls when chaos appears, α controls how the shapes themselves shrink and repeat. The second Feigenbaum constant has a value of approximately read more
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What Is the Golden Ratio? Understanding φ (Phi)
The golden ratio, written as φ and approximately equal to 1.618, appears when a whole is divided so that the ratio of the whole to the larger part equals the ratio of the larger part to the smaller. This proportion shows up in geometry, the Fibonacci sequence, art, architecture, and natural patterns. Golden spiral. Suppose read more
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Greatest Mathematicians and their Discoveries – Part 1
You will see some of the famous and greatest mathematicians from 500 BC to the 21st century. Let’s dive into the lives and groundbreaking discoveries of legendary mathematicians who shaped the world with their innovative ideas. Pythagoras Pythagoras, an ancient Greek mathematician, philosopher, and founder of the Pythagorean school, is best known for discovering the read more
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