Abstract: This third installment of the Beautiful Math articles considers the visualization of aesthetic patterns with hyperbolic-triangle-group symmetries. A flexible form of invariant mappings ...

ABSTRACT: The endpoints of the velocity vectors of two resonance decay particles represent material velocity points in the hyperbolic Lobachevsky velocity space of curvature k = −1/C2 (C = 1 is the ...

Abstract: Radio frequency identification (RFID) technology has been widely adopted in a variety of applications from logistics to access control. Many applications gain benefits from knowing the exact ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly reflecting shapes to tile a surface, researchers uncovered a method that links ...

For a game whose rules can be taught to a small child, chess is bewilderingly complicated—there are more possible games of chess than there are atoms in the observable universe, and despite the ...

We learn geometry in school as something completely self-evident. The shortest distance between two points is a straight line, and the sum of the interior angles of a triangle is always 180 degrees.

ABSTRACT: The ends of the velocity vectors of the decay particles of resonance represent material points-velocities in the hyperbolic Lobachevsky velocity space of negative curvature k = −1/C2 (C = 1 ...

Hyperbolic geometry originated in the 19th century, when mathematicians questioned the necessity of the parallel postulate in Euclidean geometry and discovered the hyperbolic plane ℍ², which satisfied ...

Geometry boasts a rich and captivating history within the realm of mathematics. In its early development, it was deeply rooted in practical observation used to describe essential concepts such as ...

Hyperbolic Labs Inc., creator of an open access compute cloud for artificial intelligence workloads and inference services, said it’s launching its GPU marketplace today after closing on a $12 million ...