9 Levels of Self-similarity

sutcliffe5

This work is premeditated and overtly mathematical. The binary XOR operation can be applied to pairs of integers, acting independently on corresponding bits in the binary expression of the integers. A table was computed of i XOR j for 0 <= i, j <= 255. From this the extended truth tables for XOR acting on integers having to 2 ^ n bits for 1 <= n <= 9 can be made. For the graphic these are shown as grey levels. The self-similarity in the tables can be seen, even though we cannot distinguish 256 levels of grey.

Material: 

Digital print, 12” X 12”, 2007.

Rights: http://www.bridgesmathart.org/art-exhibits/bridges2007/sutcliffe.html