Blog
Latest Articles
68 articles tagged "Geometry"
Gabriel’s Horn: The Volume Paradox
Discover how a simple curve spun around an axis creates a shape with finite volume but infinite surface area—a mind-bending twist that links geometry, calculus and real-world design.
Read article →
When Inches Weren't the Same: The Wild History of Measuring Length
From ancient king’s palms to mismatched inches, measuring length has bounced around more than you think. Uncover the curious story and real-world quirks behind our everyday rulers.
When a Semi-Circle Means a Right Angle
Explore Thales’ circle theorem—why any angle in a semicircle is a perfect right angle—and see how this ancient idea shows up in surveying, architecture and GPS.
When Art Meets Algebra: Linear Relationships in Perspective
Discover how simple equations shape the way we view masterpieces—from Brunelleschi’s fresco experiment to your favourite 3D video game. It’s all about the straight line.
From Meridian Arcs to Lasers: How the Metre Evolved
The metre has travelled from meridian‐measuring expeditions in 18th-century France to laser wavelengths and the speed of light. Explore the surprising journey of our everyday unit of length.
Measuring the Unmeasurable: The Coastline Paradox
Discover why the length of a coastline seems to grow the more you measure it—and how this paradox reveals the hidden complexity in shapes we thought we understood.
Finding Your Way with Equations: The Maths Behind GPS
Uncover how simple equations of circles and spheres enable your phone to pinpoint your location anywhere on Earth.
The Magic of V – E + F = 2: Euler’s Polyhedron Formula
Discover how a simple equation linking vertices, edges and faces underpins everything from ancient domes to modern 3D graphics—and why it feels like mathematical magic.
The Secret Formula Behind Platonic Solids and Your Soccer Ball
Discover how the ancient Greeks’ study of Platonic solids led to Euler’s formula V–E+F=2, and see how it turns up in everything from soccer balls to viruses.
Gabriel’s Horn: How Infinity Fits into a Finite Volume
Discover the paradoxical shape known as Gabriel’s Horn, which has an infinite surface area yet holds a perfectly finite amount of space. Tag along as we explore its surprising origin, real-world echoes, and a common misconception.
How Completing the Square Connects Parabolas and Circles
Discover how the familiar algebra trick of completing the square does more than just tame quadratics—it unlocks the geometry of circles and shifts your whole perspective on graphs.