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 ...

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.

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 ...