let $s=\{ (a_1, b_1), (a_2,b_2),\dots, (a_n, b_n)\}$ be a set of lattice points in the first quadrant $\{(x,y): x \geq 0, y \geq 0\}$ and set \[ \delta_s (x,y) = \det \lvert x_i^{a_j} y_i^{b_j} \rvert_{i,j=1}^n \] let $\mathbf{m}_s$ denote the linear span of all the partial derivatives of $\delta (x,y)$. computer data reveals that these vector spaces of polynomials intersect in the most remarkable ways. since the eary 90's we have accumulated a variety of conjectures most of which are still open. in this talk we will give a glimpse of this amazing mathematical kaleidoscope.