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Maths in a minute: Higher dimensions

In normal life higher dimensions smack of science fiction, but in mathematics they are nothing out of the ordinary.In normal life higher dimensions smack of science fiction, but in mathematics they are...

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Maths in a minute: Equal temperatures

At any point in time there are two points on the Earth's equator with the same temperature.At every given point in time there are two points on the equator of the Earth that have the same...

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Saving whales using Pythagoras

Chris BuddOne of the greatest threats to whales is being struck by ships. Find out how Pythagoras' theorem can help avoid this.A beluga whale. Photo: Premier.gov.ru, CC BY-SA 4.0.Whales are under...

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The Abel Prize 2019

Marianne Freiberger Karen Keskulla Uhlenbeck has been awarded the Abel Prize 2019!Karen Keskulla Uhlenbeck has been awarded the Abel Prize 2019 for her pioneering work in geometry, analysis,...

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Maths in a minute: The Sydney Opera House

Rachel ThomasThe mathematical puzzle behind the iconic structure.On 29 January 1957, when Jørn Utzon's sail-like sketches were announced as the winning design for the Sydney Opera House, Utzon had a...

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Less is more: The quest for minimal surfaces

Marianne FreibergerFor over 250 years minimal surfaces have been playing hide and seek with mathematicians. But what are they and why are they interesting?You can watch a video interview with...

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Spencer Becker-Kahn: Minimal surfaces

Spencer Becker-Kahn explains what minimal surfaces are and why he likes them.Spencer Becker-Kahn is a mathematician who has joined the quest for some of the most elusive objects in mathematics: minimal...

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Metallic numbers: Beyond the golden ratio

Gokul Rajiv and Yong Zheng Yew You've heard of the golden ratio but have you heard of the silver ratio? And all its other cousins called the metallic numbers? Read this article to meet the...

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Maths in a minute: Social distancing

How should people arrange themselves for maximal socialising at a safe distance?Imagine lots of people in a park, sitting in the Sun. Each person wants to keep at least 2m distance to everyone else,...

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Euler's polyhedron formula

Abigail KirkIn this article we explores one of Leonhard Euler's most famous results.June 2007 Leonhard Euler, 1707 - 1783 Let's begin by introducing the protagonist of this story — Euler's...

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Changing perspectives

Marianne FreibergerHenry Wilton is one of this year's winners of a Whitehead Prize, which is awarded annually by the London Mathematical Society to mathematicians who are in an early stage of their...

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Some lovely proofs by picture

Yutaka NishiyamaDon't like trigonometry? Don't worry, here are three beautiful proofs of a well-known result that make do without it.Here’s a result from geometry. If you draw three squares of the same...

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Plus Advent Calendar Door #18: The shape and fate of the Universe

As we are well over half way through advent, we thought today we'd look towards the future of the UniverseAs we are well over half way through advent, we thought today we'd look towards the future of...

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Ghosts in the tiling

Tim LexenDo you like curves? The you'll love tricurves and their ghostly phantoms!If we play with a compass and straightedge, we can discover all kinds of interesting shapes with arcs for sides. Let's...

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Counting rose petals

Frank Lee and John EckhartThe beautiful rose curve has an odd pattern to the number of its petals – this student and teacher team explain why... The simplicity and symmetry of Rhodonea or rose curves...

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