Everyone has an idea about infinity. Infinity always confronts us with the question of wether we can see or recognize it at all. Modern mathematics knows that infinite series of numbers may well have a finite limit. The ancient greeks had realized that Achilles will always outrun a tortoise, but they couldn’t prove it. For the solution remained hidden.
Photographing a single, well reflecting steel sphere I got on the surface pointing to my macro lens a distorted image of the surrounding. One can see the tree in our garden, the lens and the tripod of my equipment, even the photographer’s legs are visible. That’s why I think it’s sort of a selfie.
Immediately, I thought of my friend Harold, who had worked a lot on photographing water drops and who had made a book about the photography of water drops. In the juxtaposition of several water drops the environment is displayed several times side by side in the drops.
Well, this happens as well, if you place two well reflecting steel balls side by side. So far, there is nothing unexpected.
On closer inspection, the opposite sides of the spheres show further images of the surroundings slightly outside the original image, well visible on the tree. These images of the tree become smaller and smaller lying within the circular image of the first reflection.
An infinite series of images in one picture is created by the reflection on the surface of two adjacent steel spheres. As the reflected images become smaller and smaller, the total area of the image is finite. A similar effect is known with water drops as well.