The Swiss sculptor, whose work can be found in countries all over the world, gives his creations the power to change shape as they ... re kind of exploring the fourth dimension – the three ...

The Fourth Dimension is a new app for iPhone and iPad ... Look at the silhouette of a cube from any angle — it’s a 2D shape. Would seeing it from all possible angles help you at least ...

Last spring, mathematician Henry Segerman found a peculiar post on Facebook. It was by a programmer who had could not conjure mental images---a condition called aphantasia. Segerman immediately ...

ROBERT BROOK/SCIENCE PHOTO LIBRARY//Getty Images The hypercube, or tesseract, is a shape occurring in the fourth dimension. Here it is depicted in a way we can picture in our three-dimensional world.

Mathematician Maggie Miller explores the strange and fascinating world of 4D topology — the study of shapes, or manifolds, that resemble flat Euclidean space when viewed up ...

They discern one another's shape both by touching and by seeing ... the square conceives the possibility of a fourth dimension. He even goes so far as to suggest that there may be no limit to ...

My favorite shape is the loop ... but we know little about how four-dimensional manifolds can look. In this framework, the only one-dimensional closed manifold is a loop. The loop is also ...

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 ...

What would this four-dimensional being look like to us? Traveling in space, perpendicular to our own, its shape would be distorted and misshapen, possibly like a Picasso painting, with legs ...