### 14-5
Non-recursive Generating Algorithms

The algorithms of Tables 14-2 and 14-7 provide two
non-recursive algorithms for generating the Hilbert curve of any order. Either
algorithm can be implemented in hardware without great difficulty. Hardware
based on Table 14-2
includes a register holding s, which it
increments for each step, and then converts to (x,
y) coordinates. Hardware based on Table 14-7 would
not have to include a register for s, but the
algorithm is more complicated.