evolving symmetries

The ever-intriguing Kottke features a mesmerising little tutorial on the several species of recursive, space-filling fractals (not pictured), a cultivar of which is known as Hilbert’s curves.  Developed by the same German mathematician who explored the paradoxical, counter-intuitive nature of infinity with his resort-hotels that always have a vacancy, these inward-folding routines come to occupy the bounded infinity of a finite space, much in the same way (only visualised differently, although I bet it would be a way for switchboard operators to map the shifting room assignments of n+1 guests) of the accommodating hoteliers above.