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Neutral short and long spheroidal cap clusters have been investigated within the liquid drop model. Analytical results have been obtained for the deformation-dependent surface and curvature energies. A large variety of experimentally determined shapes (both oblate and prolate) are explained by simulating the interaction energy with the substrate with a modified surface tension of the base, and by changing the missing or extended height of the cap, d. The results are illustrated for Na56 and Na148 atomic clusters.