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68 articles tagged "Geometry"
How Archimedes Discovered Volume’s Greatest Trick
Dive into how Archimedes used water displacement and the method of exhaustion to master sphere and cylinder volumes—and why that ancient insight still matters today.
From Babylon to Your Smartphone: Pythagoras’ Theorem in Action
Discover how an ancient formula etched on Babylonian tablets now powers your smartphone’s GPS and gaming graphics. Pythagoras’ theorem is everywhere—even if you don’t realise it.
From Archimedes to 3D Printing: The Secret Life of Volume
Discover how slicing shapes and water displacement unlocked the study of volume—and why this ancient trick still powers modern design, cooking and medicine.
Measuring the Unmeasurable: The Coastline Paradox
Discover why the length of a jagged coastline can grow as you zoom in, how this strange effect led to fractal geometry, and where this twist on ‘length’ pops up in science and everyday life.
Cracking the Code of Alternate Interior Angles
Explore the curious world of alternate interior angles: a quick journey from Euclid’s Elements to street signs, showing how parallel lines and a transversal create perfect pairs.
When Triangles Bend: The Hidden Geometry of Curved Surfaces
Discover why triangles on Earth don't add up to 180° like in school and how spherical geometry powers GPS and navigation.
Dartboards and Drones: How Randomness Helps Us Find Area
What do dart throws, satellites and oil spill clean-ups have in common? They all use Monte Carlo methods—random sampling—to estimate areas when rulers can’t reach. Discover this playful maths trick and try it yourself!
How Right-Angled Triangles Shape Your Music: The Pythagorean Twist
Discover how the Pythagorean theorem connects right-angled triangles to ancient musical harmony and pops up in modern life.
Why Every Polygon’s Exterior Angles Sum to 360°
Discover the surprising reason why, no matter how many sides a polygon has, its exterior angles always add up to a full circle—and how that idea shows up in navigation, robotics and more.
Pythagoras’ Theorem: From Ancient Steps to Modern Screens
From Babylonian clay tablets to GPS satellites and video game graphics, Pythagoras' theorem is everywhere. Learn how this ancient idea powers modern tech—and why it's more than just a² + b² = c².
Archimedes’ Secret: Why Spheres Outshine Cylinders
Dive into Archimedes’ timeless discovery that a sphere’s volume is two-thirds that of its circumscribing cylinder, and see why these ancient ideas still shape everything from fuel tanks to ice-cream cones.