It would seem that way*, but I do not completely undestand your drawings yet. I have a lot of problems with the appearance that your new eggoids relative to the sphere as it differs from your Please Register or Log in to view the hidden image! and Dale's earlier eggoids in that part of the new eggoid appears to be expanded for nothing if the expansion is radial and part of the sphere has completely disappeared. some of this is due to the fact that the eggoid is not with centroid at the origin, but not all. please do not misunderstand. I like its shape better, but I am not sure it has the same volume as the sphere and not sure how to write the dw expression for values of my "z pancakes" especially for z locations that do not have any sphere to expand from. Have you followed my "z pancakes" & "z annulus" ideas? And my idea of three integrations, I1, I2 & I3? I1 was the integration for fixed flux and z along the radial expansion (or contraction) for dw. I2 was the results of I1 along all values of z. I3, if needed, was for all flux angles, now called β _____________________________ * I have long agreed and argued that the force is purely centrally directed in the case of the sphere, and thus basically so in the eggoid case, but if the eggoid is contracted everywhere from z = zc (the crossing point's z) towards one end and expanded from the sphere from zc to the other end, then one region is doing work and the other is having work done on it, so it is not too important if the force is everywhere nearly towards the centroid. Water goes to a lower energy state despite the force on it being always towards the Earth's center.