Eggs

 The beautifully smooth egg shown below is composed of circular segments that fit together �continuously�, so that there is no sudden change in the �direction� of the shell, where any two segments touch.

The Problem :

 Reconstruct the egg yourself, using only a compass and a �straight edge� ( even for the initial triangle ! )

 What aspect of  the construction ensures that the egg is smooth at the junction of any two dissimilar segments ?

 Change the shape of the initial triangle, and see what difference this makes to the shape of the egg. Which shape of triangle makes for the most �natural-looking� egg ?

Open the File as a Word Document

 

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Last modified: June 18, 2007