First you need to map geometric concepts to language. What is grammar, what is syntax? (I propose that 'syntax' is 'local coherence', and grammar is 'global coh

First you need to map geometric concepts to language. What is grammar, what is syntax? (I propose that 'syntax' is 'local coherence', and grammar is 'global coherence'.) And the trick of these figures is using symmetry to fool the brain into creating imaginary 'grammatical structure' that simply are not there. What is important to note is at symmetric axis, graphical duals are present which are syntactically correct -- a beam intersecting a plane for example -- but are no longer semantically equivalent. So probably, homonyms will be required liberally.