> So shifting the dimensions up we get a cube on the first 3d section of> this "4d table leg" with each cube being curved more than the previous> and the last 3d section is a perfect sphere.
FWIW I think an equation for such an object might be:
x^(1/w) + y^(1/w) + z^(1/w) < 1 and 0 < w <= 0.5
