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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