1. The problem statement, all variables and given/known data I cant understand how abstract aljebra helps in creating graphical patterns. I dont find eq related to Groups. Do we consider predefined structures 2. Relevant equations No equation only patterns. one pattern is attached 3. The attempt at a solution I dont know how it works so no attempt to solution. But i have some idea which i want to share. For the attached fig, we can have 2 images. One is the white horseman & the other is a brown horseman. i think its a binary pattern. When we get the value '1' for a operation O1 then we display brown horse man otherwise we display white horse man if we get a value '0'. Some body please guide me. Zulfi.