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25 articles tagged "Stage 6"
The pandemic-predicting equations: unpacking the SIR model
Discover how a simple system of three equations can forecast disease outbreaks, guide vaccine rollouts and even pop up in marketing. Meet the SIR model, your new favourite example of real-world maths.
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From Diophantus to Digital Locks: Equations Behind Cryptography
Discover how simple algebraic puzzles from ancient Greece evolved into the equations protecting your online banking and messaging today.
Binned and Coloured: How Data Classification Shapes Visualisations
Ever wondered why two maps of the same data can tell completely different stories? It all comes down to data classification – the way we group and colour values before we visualise them.
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.
Triangles That Break the Rules: Angles on a Sphere
In curved geometry, triangles can have angle sums exceeding 180°—a mind-bending twist that’s vital for everything from flight paths to GPS. Dive into the history, real-life uses, and common misconceptions about spherical triangles.
The Coastline Paradox: When Length Has No Limits
Why does measuring a coastline give ever-changing results? Discover the surprising world of fractals and how “length” depends on your ruler.
The Surprising Infinity in Finite Volume: Gabriel’s Horn Explained
Discover how Gabriel’s Horn defies intuition by having infinite surface area yet enclosing a finite volume. Dive into its 17th-century origins, real-world connections, and why it challenges common assumptions about shapes.
When Averages Lie: Understanding Simpson’s Paradox
Explore how combining data sets can flip conclusions on their head with Simpson’s Paradox, a classic statistical curveball that’s tripped up doctors, coaches and policymakers alike.
Gabriel’s Horn: The Infinite Surface, Finite Volume Paradox
Discover the mind-bending shape known as Gabriel’s Horn, which has an infinite surface area yet holds a finite volume. Dive into its surprising history, real-world echoes, and why volume and surface area can play by different rules.
Euler’s Formula: The Hidden Geometry Behind 3D Shapes
From dice to domes, Euler’s V − E + F = 2 formula is everywhere in 3D geometry. Discover its surprising origins and why it’s more than just a classroom curiosity.