The University of Manchester has been gifted a unique mathematical object known as a Gömböc – the first known physical example of a new class of shapes called mono-monostatics. The Gömböc is tangible ...

This is a preview. Log in through your library . Abstract This paper presents a networking of two theories, the APOS Theory and the ontosemiotic approach (OSA), to compare and contrast how they ...

In science, the explanation with the fewest assumptions is most likely to be true. Called "Occam's Razor," this principle has guided theory and experiment for centuries. But how do you compare between ...

Just as a terrestrial globe cannot be flattened without distorting the distances, it seemed impossible to visualize abstract mathematical objects called flat tori in ordinary three-dimensional space.

Many people think that mathematics is a human invention. To this way of thinking, mathematics is like a language: it may describe real things in the world, but it doesn't exist outside the minds of ...

Geordie Williamson is a Professor at the University of Sydney, and a consultant in Pure Mathematics for DeepMind, a subsidiary of Alphabet. Research in mathematics is a deeply imaginative and ...

At the frontiers of theoretical physics, many of the most popular ideas have one thing in common: they begin from a mathematical framework that seeks to explain more things than our currently ...

Sam Baron receives funding from the Australian Research Council. Many people think that mathematics is a human invention. To this way of thinking, mathematics is like a language: it may describe real ...