Frank A. Farris does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...

This is a preview. Log in through your library . Abstract A theoretical model for the circular arrays of neurons that are found in cortical barrel structures is presented. If the connection stencil is ...

Remember the graph paper you used at school, the kind that’s covered with tiny squares? It’s the perfect illustration of what mathematicians call a “periodic tiling of space”, with shapes covering an ...

Remember the graph paper you used at school, the kind that’s covered with tiny squares? It’s the perfect illustration of what mathematicians call a “periodic tiling of space”, with shapes covering an ...

Before being mortally wounded in a duel at age 20, Évariste Galois discovered the hidden structure of polynomial equations. By studying the relationships between their solutions — rather than the ...

Scientists mapping the human body at the cellular level keep running into the same surprise: beneath the apparent chaos of tissues and organs, there is a hidden order that looks a lot like pure ...

Success for Robert Zimmer is defined differently these days. As the president of the University of Chicago since 2006, he’s made headlines for landing nine-figure financial gifts and writing op-eds in ...

Ordered materials with 7-fold, 9-fold or 11-fold symmetries are never observed in nature. Researchers discovered the reason for this when they tried to impose a 7-fold symmetry on a layer of charged ...

Randomness would seem to make a mathematical statement harder to prove. In fact, it often does the opposite. Of all the tools available to the mathematician, randomness would seem to offer little ...