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The Geometry of Baseball Caps
Standard Baseball caps are made from six pieces of material
(not counting the "bill" of the cap).
Each piece has three sides and construction requires six seams
be sewn.
Getting Started
- If you make a baseball cap (say with paper and tape)
out of six congruent equilateral
triangles, how
well does it fit? Does the cap fit better if you use isosceles
triangles? What angles give the best fit?
- Can you get a better fitting cap by adjusting the shape
of the pieces? (What shape pieces are used in a standard cap?)
- Does the number of pieces influence the fit?
Going Deeper
People's heads are basically spheres. If you draw a triangle on
a spere, how does it differ from a triangle on the plane?
Communicated by G. Hall.
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