A fractal perspective on optimal antichains and intersecting subsets of the unit $n$-cube

Konrad Engel, Themis Mitsis, Christos Pelekis

An \emph{$n$-cube antichain} is a subset of the unit $n$-cube $[0,1{]}^n$ that does not contain two elements $\mathbf{x}=(x_1,x_2,\dots ,x_n)$ and $\mathbf{y}=(y_1, y_2,\ldots, y_n…