2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71765We construct a 2-parameter family of 4-dimensional polytopes with extreme combinatorial structure: In this family, the ``fatness'' of the f-vector gets arbitrarily close to 9, the ``complexity'' (given by the flag vector) gets arbitrarily close to 16. The polytopes are obtained from suitable deformed products of even polygons by a projection to four-space.8 pages (extended abstract)Metric GeometryCombinatorics52B05; 52B11; 52B12text