Octonion Mind Puzzle

OCTONION is a mind puzzle about composition that refuses to behave. You are not adding numbers. You are multiplying thoughts. The game takes place in an 8-dimensional algebra whose units — e₀ through e₇ — sit on the Fano plane, a seven-point, seven-line diagram that encodes every product. Two elements never commute. Three elements almost never associate. The expression (ab)c is a different object from a(bc). Order is not preference. Order is ontology. A puzzle arrives already flattened: eight units reduced to a diagram a pair of eyes can hold. It occupies eight directions that can’t be redundant across the full line but can be redundant across half a line (only once). Most products stay unreadable; this one becomes playable. If the mind can figure the perfect 8-dimensional arrangement, it will create a jianpu music piece. The rules are never stated in language. Fail in a particular…