When most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier-sounding rhombus or trapezoid. But to mathematicians, shapes encompass a vast universe of surprising ...

Originally devised as a rigorous means of counting holes, homology provides a scaffolding for mathematical ideas, allowing for a new way to analyze the shapes within data. At first, topology can seem ...

A key question that remains in biology and biophysics is how three-dimensional tissue shapes emerge during animal development. Research teams have now found a mechanism by which tissues can be ...