"Angels and Devils" is a digital artwork based on a fractal arrangement of circles within circles. Two half-scale circles are placed within the starting circle and rotated by an angle of π/4 in opposite directions. These steps are then repeated in the smaller circles, etc. The motifs pay homage to one of M.C. Escher's most famous prints, "Circle Limit IV", which also contains angel and devil motifs. Escher's print is based on hyperbolic geometry, which distorts the motifs as they get smaller. All of the tiles in "Angels and Devils" are similar in the Euclidean plane.
Robert Fathauer, Small business owner, puzzle designer, and artist, Tessellations Company
Robert Fathauer makes limited-edition prints inspired by tiling, fractals, and knots. He employs mathematics in his art to express his fascination with certain aspects of our world, such as symmetry, complexity, chaos, and infinity. His artworks are created on a Macintosh computer, primarily using the commercial programs FreeHand and Photoshop. More recently, he has been exploring fractal arrangements of polyhedra
I don't know if you've seen this before but I found it extremely fascinating and think you'd really enjoy this lecture on just one of Escher's lithographs.
ReplyDeleteEscher and the Dröste Effect
Yes, In fact I have seen the lecture in person delivered by Bart de Smit. (The man who did all of the computer graphics for these lectures) Bart gave this lecture at the Bridges conference in Banff a couple of years ago and afterward we went to the local pub for a drink. Very enjoyable thanks for mentioning it again!
ReplyDeleteCheers,
Kaz