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of 42
pro vyhledávání: '"Ku, Jason S."'
Non-periodic folding of periodic crease patterns paves the way to novel nonlinear phenomena that cannot be feasible through periodic folding. This paper focuses on the non-periodic folding of recursive crease patterns generalized from Spidron. Althou
Externí odkaz:
http://arxiv.org/abs/2403.09278
Publikováno v:
Physical Review E, Vol. 106, 2022, 055001
We derive new algebraic equations for the folding angle relationships in completely general degree-four rigid-foldable origami vertices, including both Euclidean (developable) and non-Euclidean cases. These equations in turn lead to novel, elegant eq
Externí odkaz:
http://arxiv.org/abs/2206.12691
Autor:
Abel, Zachary, Demaine, Erik D., Demaine, Martin L., Ku, Jason S., Lynch, Jayson, Itoh, Jin-ichi, Nara, Chie
Publikováno v:
Computational Geometry: Theory and Applications, volume 98, October 2021, Article 101773
We prove that any finite polyhedral manifold in 3D can be continuously flattened into 2D while preserving intrinsic distances and avoiding crossings, answering a 19-year-old open problem, if we extend standard folding models to allow for countably in
Externí odkaz:
http://arxiv.org/abs/2105.10774
A closed quasigeodesic is a closed curve on the surface of a polyhedron with at most $180^\circ$ of surface on both sides at all points; such curves can be locally unfolded straight. In 1949, Pogorelov proved that every convex polyhedron has at least
Externí odkaz:
http://arxiv.org/abs/2008.00589
Autor:
Abel, Zachary, Akitaya, Hugo, Demaine, Erik D., Demaine, Martin L., Hesterberg, Adam, Ku, Jason S., Lynch, Jayson
Suppose an "escaping" player moves continuously at maximum speed 1 in the interior of a region, while a "pursuing" player moves continuously at maximum speed $r$ outside the region. For what $r$ can the first player escape the region, that is, reach
Externí odkaz:
http://arxiv.org/abs/2007.08965
Autor:
Abel, Zachary, Akitaya, Hugo A., Demaine, Erik D., Demaine, Martin L., Hesterberg, Adam, Korman, Matias, Ku, Jason S., Lynch, Jayson
Can an infinite-strength magnetic beacon always ``catch'' an iron ball, when the beacon is a point required to be remain nonstrictly outside a polygon, and the ball is a point always moving instantaneously and maximally toward the beacon subject to s
Externí odkaz:
http://arxiv.org/abs/2006.01202
Autor:
Akitaya, Hugo, Demaine, Erik D., Horiyama, Takashi, Hull, Thomas C., Ku, Jason S., Tachi, Tomohiro
Publikováno v:
Journal of Computational Geometry, Vol 11, No 1 (2020), pp. 93-124
In this paper, we show that deciding rigid foldability of a given crease pattern using all creases is weakly NP-hard by a reduction from Partition, and that deciding rigid foldability with optional creases is strongly NP-hard by a reduction from 1-in
Externí odkaz:
http://arxiv.org/abs/1812.01160
Autor:
Demaine, Erik D., Korman, Matias, Ku, Jason S., Mitchell, Joseph S. B., Otachi, Yota, van Renssen, André, Roeloffzen, Marcel, Uehara, Ryuhei, Uno, Yushi
We study the complexity of symmetric assembly puzzles: given a collection of simple polygons, can we translate, rotate, and possibly flip them so that their interior-disjoint union is line symmetric? On the negative side, we show that the problem is
Externí odkaz:
http://arxiv.org/abs/1703.02671
Autor:
Ku, Jason S., Demaine, Erik D.
Modeling folding surfaces with nonzero thickness is of practical interest for mechanical engineering. There are many existing approaches that account for material thickness in folding applications. We propose a new systematic and broadly applicable a
Externí odkaz:
http://arxiv.org/abs/1601.05747
Autor:
Akitaya, Hugo A., Demaine, Erik D., Demaine, Martin L., Hesterberg, Adam, Hurtado, Ferran, Ku, Jason S., Lynch, Jayson
Inspired by the Japanese game Pachinko, we study simple (perfectly "inelastic" collisions) dynamics of a unit ball falling amidst point obstacles (pins) in the plane. A classic example is that a checkerboard grid of pins produces the binomial distrib
Externí odkaz:
http://arxiv.org/abs/1601.05706