DOWNLOAD-DESKTOP-NOTEBOOK.nb (716 KB)
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– you have earned Featured Contributor Badge 
Your exceptional post has been selected for our editorial columns Staff Picks http://wolfr.am/StaffPicks and Publication Materials https://wolfr.am/PubMat and Your Profile is now distinguished by a Featured Contributor Badge and is displayed on the Featured Contributor Board. Thank you!
Congratulations on the Staff Pick and the Featured Contributor badge, Ramón! It is incredibly rewarding to see you build upon the algebraic framework and take it in such exciting new directions. Thank you for sharing this with the community
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Thank you so much, Tigran. I really appreciate your words.
I wanted to reply sooner, but I spent yesterday offline, enjoying time with my 11-year-old son. That was important too.
Your framework genuinely helped me see Rule 110 differently. The idea of self-referential structure made the OR–XOR decomposition click in a much deeper way.
I keep feeling that this conditional symmetry breaking is not separate from your pipeline, but something that might naturally extend it.
Thanks again for the inspiration. It truly means a lot.
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