Escher spheres

Some Escher's tessellated images can be adopted to spherical surface. First of all it is concerned to his lithographs which show hyperbolic space such as "Angels and Devils", "Circle limit IV" etc. Above left is the original lithograph "Angels and Devils" and above right is the wooden spherical interpretation of it.

There's regular way to transformation hyperbolic geometry to spherical geometry. You can read it here http://plus.maths.org/issue18/xfile/.

Other Escher's tessellations also can be applied to sphere. You can see some examples below.
The last three images were found here.

A reptile from Escher's artwork

A very interesting object was found at Google Maps near Ciudad Juárez in Mexico. It represents a single reptile from Escher's artwork "Smaller and smaller" (1956). Below you can see the original Escher's artwork and part of it with reptile in similar position.

This artwork is an artistic illustration of hyperbolic space. Due to properties of such kind of hyperbolic space you can infinitely go towards the center of the square but never reach it. Also Escher illustrated hyperbolic space in his artworks "Snakes", "Circle limit IV" etc.