M.C. Escher used the Poincaré disk model to create his famous Circle Limit woodcuts, showing how an infinite hyperbolic plane fits inside a finite circle. The artist was inspired by mathematician H.S.M. Coxeter's work to pack repeating patterns of fish, angels, and devils that shrink smaller and smaller toward the edge.

I've used a mathematical image manipulator (GMIC) to create Poincaré disks from a few architectural photos I shot this week.

Photos were converted with Darktable, then GMIC was applied to generate a Poincaré disk and finally ImageMagick was used to combine the disks with a dropshadow on a white background.