List by Author: Yutaka Nishiyama

Some lovely proofs by picture

Don't like trigonometry? Don't worry, here are three beautiful proofs of a well-known result that make do without it.

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!

Having fun with unit fractions

The number 1 can be written as a sum of unit fractions, that is fractions with 1 in the numerator. But how long can we make such a sum?

Mysterious number 61746174 is a very mysterious number. Yutaka Nishiyama explains why, and how beautiful mathematical oddities can inspire us to discover new mathematics.
A bright ideaWhat do computers and light switches have in common? Yutaka Nishiyama illuminates the connection between light bulbs, logic and binary arithmetic.
  • Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.

  • The BloodCounts! project is gearing up towards one of the largest-scale applications yet of machine learning in medicine and healthcare.

  • What do chocolate and mayonnaise have in common? It's maths! Find out how in this podcast featuring engineer Valerie Pinfield.

  • Is it possible to write unique music with the limited quantity of notes and chords available? We ask musician Oli Freke!

  • How can maths help to understand the Southern Ocean, a vital component of the Earth's climate system?

  • Was the mathematical modelling projecting the course of the pandemic too pessimistic, or were the projections justified? Matt Keeling tells our colleagues from SBIDER about the COVID models that fed into public policy.