Paper by Erik D. Demaine
- Reference:
- Klara Mundilova, Erik D. Demaine, Robert J. Lang, and Tomohiro Tachi, “Analysis of Huffman's Hexagonal Column with Cusps”, in Origami8: Proceedings of the 8th International Meeting on Origami in Science, Mathematics and Education (OSME 2024), Melbourne, Australia, July 16–18, 2024, to appear.
- Abstract:
-
We analyze the mathematical existence of one of David Huffman's most prominent
curved-crease designs: the Hexagonal Column with Cusps, featuring circular,
parabolic, and straight creases. Observations of the physical folded shape
suggest that the concave regions between two parabolas form a cylinder, and
the regions between the circle and the nearest intersection of the parabolas
form a cone. In our analysis, we deduce the remaining rulings that result in a
numerically closed hexagonal shape. Finally, we explore other variations of
the shape, including those that incorporate only circular creases.
- Length:
- The paper is 16 pages.
- Availability:
- The paper is available in PDF (2399k).
- See information on file formats.
- [Google Scholar search]
See also other papers by Erik Demaine.
These pages are generated automagically from a
BibTeX file.
Last updated July 23, 2024 by
Erik Demaine.