Promenade 
digital art printed to archival paper
framed 
one of a kind 
16 x 16 inches 
These prints are based on a computer solution to a mathematical problem. After placing 300 dots, randomly, on a piece of paper, one connects the dots with a single line that never crosses itself. This approach is derived from a mathematical problem in which the goal is to find the shortest possible line. Finding the line that can be proven to be the shortest is computationally difficult, and beyond a small number of dots, impossible to solve even with the fastest computers.
By changing the goal to find a line does not cross itself, one is assured of finding a short line even if it can not be proven to be the shortest.
This is an example of a principle in mathematics. In some cases the solution to a mathematical problem is not in the solution itself, but in finding a method to seek the solution. This is the case when there is no perfect solution or where the perfect solution is computationally impossible to determine.
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Richard Ten Dyke
October 21, 2023