MAA Found Math:Â "Pleated Multi-sliced Cone" by Thomas Hull, Robert Lang, and Ray Schamp was awarded Second Place at the Exhibition of Mathematical Art during The 2012 Joint Mathematics Meetings in Boston. Read the full press release.
According to the Exhibition's catalog:
" Imagine a long paper cone that is pleated with alternating mountain and valley creases so that its cross-section is star-shaped. Now slice the cone with a plane and imagine reflecting the top part of the cone through this plane. The result is exactly what one would get if we folded the pleated cone along creases made by the intersecting plane. Doing this repeatedly can result in interesting shapes, including the origami version presented here."
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