Tag Archives: harmonic functions

Kenyon’s squarespirals

The other day by chance I happened to look at Richard Kenyon’s web page, and was struck by a very beautiful animated image there. The image is of a region tiled by colored squares, which are slowly rotating. As the … Continue reading

Posted in Complex analysis, Euclidean Geometry | Tagged , , , , | 19 Comments

Bridgeman’s orthospectrum identity

Martin Bridgeman gave a nice talk at Caltech recently on his discovery of a beautiful identity concerning orthospectra of hyperbolic surfaces (and manifolds of higher dimension) with totally geodesic boundary. The -dimensional case is (in my opinion) the most beautiful, … Continue reading

Posted in Hyperbolic geometry, Special functions, Surfaces | Tagged , , , , | 5 Comments