Zio Chris' Wall Drawing 256

The instructions for Sol Lewitt's Wall Drawing 358 say to fill a grid with arcs drawn from one corner, and

"[T]he direction of the arcs and their placement are determined by the draftsman."

Letting the computer be our "draftsman", we can in principle draw all the possible combinations of arcs for a grid of given size. "In principle", because the number of combinations grows exponentially: since there are 4 arcs (one for each starting corner), if there are n cells in the grid, there are 4ⁿ combinations. To give you an idea, the version of Wall Drawing #358 linked to above has 15 rows and 24 columns for 360 cells, giving 4³⁶⁰ combinations, which is more than 10²¹⁶ combinations. If we looked at one example per second, it would take over 10²⁰⁹ years to view them all, about 92 times the estimated age of the universe!

While that is a bit much, we can scale things back a bit: if we have a 2x2 grid, then there are only 4⁴ = 256 combinations, which we can easily visualize all at once. By clicking on the "Visualize!" button, you can see all those combinations, themselves laid out randomly in a grid, in the spirit of Sol Lewitt. Or go here to get a new combination each time.