Previous investigations of the neural code for complex object shape have focused on two-dimensional pattern representation. This may be the primary mode for object vision given its simplicity and ...

In an online lecture, a professor mentioned that Einstein could draw or imagine a 4-dimensional figure. How can one possibly do that? originally appeared on Quora: the knowledge sharing network where ...

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 ...

These are not the kinds of objects that concern Scott Sheffield. Sheffield, a professor of mathematics at the Massachusetts Institute of Technology, studies shapes that are constructed by random ...

Mathematicians, freed in their imaginations from physical constraints, can conjure up descriptions of objects in many more dimensions than that. Points in a plane can be described with pairs of ...

Scientists have developed cube-shaped magnetic building blocks that can be assembled into two-dimensional shapes and controlled by an external magnetic field. They can be used for soft robotics ...

New work on the problem of “scissors congruence” explains when it’s possible to slice up one shape and reassemble it as another. If you have two flat paper shapes and a pair of scissors, can you cut ...