Content about “
geometry

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Five Martin Gardner eye-openers involving squares and cubes

This week would have been the 100th birthday of Martin Gardner, who is deservedly credited with turning on several generations of people worldwide to the pleasures of maths! To mark the occasion here are some favourite puzzles that, apart from being fun, also lead to some serious maths.

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Circles rolling on circles

Imagine a circle with radius 1 cm rolling completely along the circumference of a circle with radius 4 cm. How many rotations did the smaller circle make? Be prepared for a surprise!
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Polar power

Like spirals and flowers? Then you'll love polar coordinates and the pretty pictures they allow you to draw!
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Interlocking rings

3D printing mathematics

Saul Schleimer and Henry Segerman show off some of their beautiful 3D printed mathematical structures.

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Bridge

Bridges, string art and Bézier curves

The Jerusalem Chords Bridge, Israel, was built to make way for the city's light rail train system. Its design took into consideration more than just utility — it is a work of art, designed as a monument. Its beauty rests not only in the visual appearance of its criss-cross cables, but also in the mathematics that lies behind it. So let's take a deeper look at it.

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Maths behind the rainbow

Keats complained that a mathematical explanation of rainbows robs them of their magic, conquering "all mysteries by rule and line". But rainbow geometry is just as elegant as the rainbows themselves.

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Meet the gyroid

What do butterflies, ketchup, microcellular structures, and plastics have in common? It's a curious minimal surface called the gyroid.