»9 Levels of Self-similarity« by Alan Sutcliffe | i |
creators: Alan Sutcliffe
title: 9 Levels of Self-similarity

Digital print, 12" X 12", 2007.


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.



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