I have repeatedly stated that the genius sees things in an additional dimension, as there are no conventions how higherdimensional objects are to be seen and recognised in society, he has no true instrument to figure out and has to rely on his own „intuition“ and „vision“ (respectively rationality). That is, originally, private and primordional, I have spoken about how the genius sees a field of intensity (as the soul-like abstraction of an entity he wants to describe), and then wants to move through this intensity and let the intensity shoot through itself, to, somehow, turn the field of intensity inside out and open it into a space of negative curvature (at least in the case of the transcendent genius as opposed to the immanent genius) – that is an immediate expression of the intellectual and somatic processes that happen in the mind and the body of the genius if he deeply thinks about something. In the note about Giacinto Scelsi I think I have illustrated that, whose „compositions“ where vibrating spheres of an extreme interplay of intensity and stasis, etc. – it was the intensity shooting through itself. Intensity vs form you have, prominently, in Beethoven´s music, and that kind of inversion and erecting a somehow paradoxical structure that opens into another dimension in some of John Lennon´s compositions like Strawberry Fields Forever, I am the Walrus and, most perfectly, Tomorrow Never Knows, or in the entire The Piper at the Gates of Dawn album by Pink Floyd/Syd Barrett.
When I read that Duchamp was keenly interested in the „fourth dimension“ respectively in painting how fourdimensional bodies would appear in a threedimensional world, how their „shadow“ would be, or how it would be if a threedimensional object took a ride through the fourth dimension, it said that if a threedimensional object would take a demi-tour through the fourth dimension, it would return mirror-reversed and inside out. (That is to say, the genius intuition proves correct or adequate.) If I remember correct, that is also how Cube2 – Hypercube can be interpreted, the sequel to Cube, an enigmatic mystery/horror film where people are trapped inside a gigantic cube-like structure for unknown purpose: In Cube2 – Hypercube they are trapped inside a hypercube/tesseract! Despite the dramaturgy and grouppsychological dynamics are a bit of a cheap copy of the original (which is why it got largely dismissed by the audience, including my friends), I found the enigma of the hypercube (and of the conspiracy behind it) extremely immersive and, as also quantum physics got mentioned, it made me think a lot about it. In that respect, Cube2 – Hypercube was one of the coolest films I´ve seen.