On the arithmetic of fractal dimension using hyperhelices

A hyperhelix is a fractal curve generated by coiling a helix around a rect line, then another helix around the first one, a third around the second… an infinite number of times. A way to generate hyperhelices with any desired fractal dimension is presented, leading to the result that they have embedded an algebraic structure that allows making arithmetic with fractal dimensions and to the idea of an infinitesimal of fractal dimension.