(Nanowerk News) Hyperbolic metamaterials (HMMs), which have an extremely high anisotropy with a hyperbolic dispersion relation, are rising as an innovative method of manipulating light. HMMs have ...

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 ...

Researchers uncover the mathematical structure behind mesmerizing tiling patterns, linking their visual appeal to the ...

For any group G, I will define the set of hyperbolic structures on G, denoted H(G), which consists of equivalence classes of (possibly infinite) generating sets of G such that the corresponding Cayley ...

Motivated by a new kind of initial boundary value problem (IBVP) with a free boundary arising in wave-structure interaction, we propose here a general approach to one-dimensional IBVP as well as ...

Proceedings of the American Mathematical Society, Vol. 146, No. 7 (July 2018), pp. 3167-3178 (12 pages) By using non-positively curved cubings of prime alternating link exteriors, we prove that ...

The exhibition hall is 135m long and enclosed by two hyperbolic paraboloid roofs, rising to a central ridge 29m high. The roof structure consists of cranked trusses formed from straight tubular ...

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 ...