In 1847, an eccentric British mathematician named Oliver Byrne released a new edition of Euclid’s famous mathematical treatise, The Elements of Geometry. Byrne added a rather longwinded but ultimately ...

Virtual reality can take you to some far-out places — mountaintops, distant cities and even fantastical game worlds. A team of artists and mathematicians is now adding to that list: universes where ...

This paper presents a case study investigating the knowledge constructed by two 12 year-old children working with a geometrical Logo microworld allowing the Logo turtle to measure distances, and turns ...

Euclidean geometry is the branch of mathematics describing shapes and the spatial relationships between objects in ...

This originally appeared in the July/August issue of Discover magazine as "Your Hyperbolic Mind." Support our science journalism by becoming a subscriber. The human brain is both a marvel and a ...