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In the present note we give an example of a finite set of points in$\mathbb{P}^{3}$ which has the so-called geproci property, but it is neither agrid nor a half-grid. This answers a question on the existence of such setsrised by Pokora, Szemberg and Szpond [arXiv:2010.08863].

Generic projections of the $\mathrm{H}_{4}$ configuration of points