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Quick FitsThis is roughandready. The Bud Workshop Program is much more sophisticated! 
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Adjust the geometric budform by dragging white points.The “trick” for all these instances (except the vortex) 

A Beech in Outline, from Aberdeen, Scotland. The Beech is slightly “bent”, but the geometry applied here is not, so there is a small but unavoidable mismatch of geometry and bud. The Bud Workshop Program can deal with bent buds. 
Path Curve Geometry also works for real Vortices, though this picture of a pondvortex is not the best example, because the the vortex is seen obliquely and in perspective from somewhere nearby, while the geometry is restricted to the architect's beloved "side elevation", namely, a view from infinity through infinitely powerful binoculars! Thus, these views can't be expected to match very well without appropriate adaptation—but one can form the notion that such adaptation is possible (as, indeed, it is). The exercise also serves to highlight some of the technical difficulties attendant on this work..


See whether your λestimate agrees with that of Lawrence Edwards 

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