Density (left) and entropy (right) profiles in the mock test to assess the geometric effects of ellipticity and centre offset. Top row: Profiles, colour-coded by the mock ellipticity value, the line style indicating Δ_r. Second row: Quotients between the input density and entropy profiles, and the profiles recovered after the geometric transformations. Bottom: Effects of ellipticity and centre offset on flattening the density profiles, increasing the core entropy, and displacing the entropy peak in the outskirts. Here, Δ_r is represented by the marker shape.