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Diophantine problems for garden gnomes

Mr and Mrs Magnus are a happy gnome couple. Unfortunately, foreseeing that they will be unable to keep up with their rising mortgage repayments, they've been forced to move into my back garden, where they've acquired a plot to build a house on. Gnome by-laws state that the total number of bricks…
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Teacher package: Statistics and probability theory

This issue's teacher package brings together all Plus articles on probability and statistics, exploring anything from maths in the dock to games of chance. It also has some handy links to related problems on our sister site NRICH.
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Strong but free

The early 1950s were an experimental gold mine for physicists, with new particles produced in accelerators almost every week. Yet the strong nuclear force that acted between them defied theoretical description, sending physicists on a long and arduous journey that culminated in several Nobel prizes…
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Analysing Ada

Ada Lovelace, born 200 years ago this month, is hailed the world's first computer programmer. What exactly was her contribution to computer science?
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Mathematical mysteries: The Barber's Paradox

Suppose you walk past a barber's shop one day, and see a sign that says "Do you shave yourself? If not, come in and I'll shave you! I shave anyone who does not shave himself, and noone else." This seems fair enough, and fairly simple, until, a little later, the following question occurs to you -…
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Modelling, step by step

Why can't human beings walk as fast as they run? And why do we prefer to break into a run rather than walk above a certain speed? Using mathematical modelling, R. McNeill Alexander finds some answers.
Lovelace
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Happy Ada Lovelace day 2022!

We celebrate this year's Ada Lovelace day with a selection of podcasts featuring some of the many women we have worked with over the years.
Maryam Mirzakhani
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Happy Women in Maths Day!

We celebrate Women in Mathematics Day with a look at three amazing women from the history of mathematics.
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Teacher package: Mathematical Modelling

The flocking behaviour of birds, the spread of diseases and the Cuban missile crisis — all of these and much more can be modelled mathematically. In our second teacher package we bring together all Plus articles on mathematical modelling, ready for use in classroom discussions or students projects.
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Universal pictures

Peter Markowich is a mathematician who likes to take pictures. At first his two interests seemed completely separate to him, but then he realised that behind every picture there is a mathematical story to tell. Plus went to see him to find out more, and ended up with a pictorial introduction to…