Two recent developments suggest how familiar properties of gravity and matter may emerge from the quantum geometry that underlies loop quantum gravity. In everyday situations, and even in current ...

Riemannian Geometry: A branch of differential geometry ... principal curvatures are constant along the hypersurface. This Nature Research Intelligence Topic summary is one of 30,000 created ...

Marcus du Sautoy describes how fractal geometry can be used to describe natural objects, and how it is used in digital animation. Trees use the simple rule of trying to maximise surface area ...