Reflections on Mathematics

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Five ways to spell ADE

The solutions to a surprising number of mathematical questions can be classified by the ADE Coxeter–Dynkin diagrams. This snapshot will show you a selection of these questions and how they correspond to the ADE Coxeter–Dynkin diagrams.

What is Pattern?

Pattern is ubiquitous and seems totally familiar. Yet if we ask what it is, we find a bewildering collection of answers. Here we suggest that there is a common thread, and it revolves around dynamics.

La La Lab - The Mathematics of Music

We describe a journey through our exhibition La La Lab - the Mathematics of Music, which mixes a laboratory format with interactive exhibits to present visitors with the historical, conceptual, and artistic connections between mathematics and music, pushing forward musical creativity, mathematical knowledge and any blending of the two.

Touching the transcendentals: tractional motion from the birth of calculus to future perspectives

When the rigorous foundation of calculus was developed, it marked an epochal change in the approach of mathematicians to geometry. Tools from geometry had been one of the foundations of mathematics until the 17th century but today, mainstream conception relegates geometry to be merely a tool of visualization. In this snapshot, however, we consider geometric and constructive components of calculus.

On Logic, Choices and Games

Can we always mathematically formalise our taste and preferences? We discuss how this has been done historically in the field of game theory, and how recent ideas from logic and computer science have brought an interesting twist to this beautiful theory.

Sombrero Vueltiao –Weaving Mathematics

This paper describes the weaving technique of a traditional Colombian hat called sombrero vueltiao and some of its patterns. The making of the hat–and weaving in general–involves interesting mathematical thoughts and concepts and offers many learning opportunities, for all of which we provide examples in this paper.

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