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.

BibTeX

@InProceedings{HuffmanColumn_OSME2024,
  AUTHOR        = {Klara Mundilova and Erik D. Demaine and Robert J. Lang and Tomohiro Tachi},
  TITLE         = {Analysis of {Huffman}'s Hexagonal Column with Cusps},
  BOOKTITLE     = {Origami$^8$: Proceedings of the 8th International Meeting on Origami in Science, Mathematics and Education (OSME 2024)},
  bookurl       = {http://www.impactengineering.org/8OSME/},
  ADDRESS       = {Melbourne, Australia},
  MONTH         = {July 16--18},
  YEAR          = 2024,
  PAGES         = {to appear},

  length        = {16 pages},
  withstudent   = 1,
}

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.

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