In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

A substantial amount of time is invested in getting all subsystems placed and geometry identified for our next-generation DIY space capsule Tycho Deep Space II. The previous capsule was more an ad hoc ...

Recent theoretical advances have underscored the significance of momentum space geometry in the realm of relativistic physics. Traditional notions of flat momentum space are being re-evaluated in ...

NASA's Jet Propulsion Laboratory (JPL) is celebrating Pi Day (March 14) with a set of four math problems — featuring Martian craters, distant exoplanets, Saturn orbits and eclipses — to be understood ...

Using geometry we can not only understand, but visualize how causality dictates the order Using geometry we can not only understand, but visualize how causality dictates the order of events in our ...

High-dimensional spheres can have a much wider variety of structures than mathematicians thought possible. If you’ve ever been stuck in traffic on a rainy afternoon, you’ve probably watched raindrops ...

Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about. In the early 1800s, William Rowan Hamilton discovered a new kind of ...

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 ...