Hyperbolic space is a Pringle-like alternative to flat, Euclidean geometry where the normal rules don't apply: angles of a triangle add up to less than 180 degrees and Euclid's parallel postulate ...

“The first time I saw a print of ‘Circle Limit III,’ I said to myself, ‘that is the most beautiful example I have ever seen of the Poincaré circle model for hyperbolic geometry,'” says ...

For example, the Internet only requires D = 7 dimensions to be mapped into the hyperbolic space of our model, whereas this name is multiplied by six and scales to D = 47 in one of the most recent ...

Do you love games that might split your brain in half? Hyperbolica might just do that with the mind-bending world design based on Non-Euclidean curved space. It's a thoroughly quirky adventure, with a ...

Bending the Rules of GeometryBending the Rules of Geometry By VI HART, HENRY SEGERMAN, ELISABETTA MATSUMOTO, M EIFLER, ANDREA HAWKSLEY and SAMANTHA QUICK • August 27, 2017 ...

The goal of this project is A workshop where participants recreate Eschers Circle Limit III by applying the ideas of Functional Geometry to the hyperbolic plane. In goals of the workshop itself should ...

Hyperbolic plane geometry is the geometry of saddle surfaces with a constant negative Gaussian curvature (for example the pseudosphere) Models have been constructed within Euclidean geometry that obey ...

Hyperbolic knot: A knot whose complement in the 3–sphere admits a complete Riemannian metric of constant negative curvature. Link complement: The three–dimensional manifold formed by removing ...