Keller's conjecture

Keller's conjecture is solved, but you may not understand what it is. This seems to be true in 6 dimensions, but it doesn't work in more than 10 dimensions. We are living in 4 dimensions, so it is hard to capture it. At first, Keller's conjecture is to cover an area with equal-size tiles without any gaps or overlap. The conjecture is that at least two of the tiles will have to share an edge and that this is true for spaces of every dimension.

This is square. I guess that 6 dimensions are the square, and 0 is the dot. You see the space. 6 dimensions work in this conjecture. Calabi–Yau manifold is well known, so I think that 6 dimensions is rolled up like the square. Moreover, each square has the different color and the same size with sharing the edge. It is not overlapping.

We know 4 dimensions, so when we add this 6 dimensions, we are living in 10 dimensions. However, nobody knows it. I think that square is disappeared like strings. We can't see it. This is called SAT which is the problem using a propositional formula—(A or not B) and (B or C), etc. Collatz problem is the same.