Cubism remained on a two-dimensional surface, despite Picasso’s guitar experiments. The pursuit of the fourth dimension was nevertheless real, and it depends on the interpreter whether the early Cubists achieved the fourth dimension in their works or not.
Hypercubism could be thought of as cubism taken to a new dimension. A two-dimensional surface is “stretched” into a three-dimensional work. Cubism also relied on scientific breakthroughs of its time, such as Einstein’s theory of relativity and Riemann’s geometry, while Hypercubism is based on the multidimensional structure of reality and experience. The structure of a hypercubist work is also explained and defined both geometrically and philosophically.
When we look at Cubism’s 4D approach to time, inspired by the theory of relativity, and compare it to Hypercubism’s 4D definition of mind and thought, are they really that far apart? The philosophy of Hypercubism says that time is just an illusion created by the mind, everything happens simultaneously in the moment, both the past and the future. If time is an illusion, then it is also part of the structure of mind and thought, i.e. the structure of thought. So these two are not mutually exclusive factors. They are just structures operating in the same dimension.
If we think about multi-perspective and both cubist and hypercubist work, both require the mind and thought to understand the work. In reality, actually, a hypercubist work is one that, due to its structure, the interpreter would need to really move into to see all the perspectives because of its three-dimensionality and layered structure.
Hypercubism respects Cubism, and is not intended to belittle it. Hypercubism is built on the teachings and principles of Cubism, but out of pure human desire and respect, it takes Cubism even further.