The world of geometry just witnessed a pivotal breakthrough. Mathematicians at Monash University have cracked a centuries-old puzzle dating back to the 17th century, extending Descartes’ Circle ...

The goal of this paper is to describe all local diffeomorphisms mapping a family of circles, in an open subset of R³, into straight lines. This paper contains two main results. The first is a complete ...

"Beauty is the first test: there is no permanent place in this world for ugly mathematics," wrote British number theorist Godfrey Hardy in 1941. Illustration by Traci Daberko In arts or literature, ...

The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership is a mixture of school teachers, college and university lecturers, ...

Polygons are multi-sided shapes with different properties. Shapes have symmetrical properties and some can tessellate. Loci and constructions - AQA Loci are a set of points with the same property.