Mathematicians are creating their own version of the periodic table that will provide a vast directory of all the possible shapes in the universe across three, four and five dimensions, linking shapes ...

It can be tempting to assume that your intuitions about three-dimensional space carry over to higher-dimensional realms. After all, adding another dimension simply creates a new direction to move ...

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 ...

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 ...

The book Flatland: A Romance of Many Dimensions by Edwin A. Abbott explores the concept of physical dimensions through characters who encounter higher-dimensional beings. The protagonist, “A. Square,” ...

The three-dimensional shape of a protein can be used to resolve deep, ancient evolutionary relationships in the tree of life, according to a new study. It is the first time researchers use data from ...