A team of artists and mathematicians has just created a non-Euclidean virtual-reality universe where the usual rules of geometry and physics don't apply.

Summary In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception - the ...

Both classes extend the ideas of Euclidean geometry taught in a standard high school to include the basics of spherical and hyperbolic geometry. In both, she emphasized modern applications of both ...

Euclidean geometry describes the flat space of the non-relativistic physics world. It can describe Newtonian gravity, but it fails to describe gravitational radiation or strong gravitational fields ...

The originator of Riemann’s hypothesis died young, but he provided the geometry needed for modern view of spacetime.

The "Golden" Non-Euclidean Geometry outputs the initial concept on the level of scientific Millennium Problems. In essence, it opens a new stage in the development of non-Euclidean geometry.

All individual and student subscribers are automatically enrolled as HSS members, with all attendant benefits. The University of Chicago Press publishes more than 90 scholarly journals that cover a ...

Composers in a wide range of styles have exploited the non-Euclidean geometry of these spaces, typically by using short line segments between structurally similar chords. Such line segments exist only ...