Escher-Droste torus twist

The following two pictures are similar in that each of them is contained in itself in a sense.

I want to understand this similarity more precisely, and I think it has to do with twisting a torus.

M.C. Eschers lithograph "Print Gallery" the Droste effect

Result

the Droste effect picture transformed to imitate Eschers picture Eschers picture with the spiral effect removed