In the 4D, knots are left behind!
Knots live in the 3-dimensional space only. Based on the Knot Theory, one cannot tie knots in the 4D. In our visible 3D reality, however, we have to invest efforts to untie things, and yet we do not always succeed in doing so.
Perelmania. The Topology of Bagel
The art project is dedicated to the prominent modern mathematician Grigori Perelman and to his discoveries in the field of geometric topology, including that of the torus ("bagel").
I have created all the images of this series on the basis of the single photograph of Perelman that is freely available on the Internet. If we create a composition out of several 3D models of "bagels" (tori) and "wrap" them with a map consisting of tiled photographs of Grigori Perelman, we will then create a "Perelman topology" of sorts, where the photographs themselves may be altered beyond recognition by the mapping algorithm.