SpheroEllipsoids, Basics:

For fixed particle width D=1, keep b=0.5 fixed, and change only a (long semiaxis) and z1 (truncation height.)

To achieve a desired length L, try various a > L/2 and z1 < a.

(Of course, one might prefer to treat L and a as primary choosable parameters, and z1 as dependent. Work it out from the above equations...)



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[Code: SphEllDef, 2011]

Note (Feb-2014): In this 2011 applet the long vertical half axis is called a, the short half axis is b, and z1 is the cutoff height; the cap center is at z0. (Pardon the change of variable names.)