Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...

(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 ...

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 ...

Anti-de Sitter (AdS) geometry and hyperbolic manifolds form an intricate and influential domain within modern geometry, with profound implications in both theoretical physics and pure mathematics. The ...

(Nanowerk News) A new type of hyperbolic metamaterial has been developed by researchers at King’s College London (KCL) allowing researchers have greater flexibility of manipulating light-matter ...

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 ...