Results 21 to 30 of about 64,539 (206)
Growing Perfect Decagonal Quasicrystals by Local Rules
, 2007 A local growth algorithm for a decagonal quasicrystal is presented. We show that a perfect Penrose tiling (PPT) layer can be grown on a decapod tiling layer by a three dimensional (3D) local rule growth. Once a PPT layer begins to form on the upper layer,
Hyeong-Chai Jeong +7 more
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Forcing nonperiodicity with a single tile [PDF]
, 2011 An aperiodic prototile is a shape for which infinitely many copies can be arranged to fill Euclidean space completely with no overlaps, but not in a periodic pattern. Tiling theorists refer to such a prototile as an "einstein" (a German pun on "one stone"
Socolar, Joshua E. S., Taylor, Joan M.
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Who witnesses The Witness? Finding witnesses in The Witness is hard and sometimes impossible
, 2019 We analyze the computational complexity of the many types of pencil-and-paper-style puzzles featured in the 2016 puzzle video game The Witness. In all puzzles, the goal is to draw a simple path in a rectangular grid graph from a start vertex to a ...
Abel, Zachary +9 more
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Vertices of Gelfand-Tsetlin Polytopes [PDF]
, 2003 This paper is a study of the polyhedral geometry of Gelfand-Tsetlin patterns arising in the representation theory $\mathfrak{gl}_n \C$ and algebraic combinatorics.
De Loera, Jesús A. +1 more
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Fuglede's conjecture holds on cyclic groups $\mathbb{Z}_{pqr}$
Discrete Analysis, 2019 Fuglede's conjecture holds on cyclic groups $\mathbb{Z}_{pqr}$, Discrete Analysis 2019:14, 14 pp. A conjecture of Fuglede from 1974 states that a measurable set $E\subset \mathbb R^n$ of positive Lebesgue measure has a set of translates that tile ...
Ruxi Shi
doaj +1 more source
Tilings with T and Skew Tetrominoes [PDF]
, 2012 We consider tiling problems in the integer lattice. Specifically, we look at a set of four T-tetrominoes and four skew tetrominoes and determine when this set can tile rectangles and modified rectangles.
Lester, Cynthia
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Adaptable Tile‐Based Pneumatic Origami through Structurally Coupled Localized Actuation
Advanced Engineering Materials, EarlyView.This article presents tile‐based pneumatic origami structures with rigid tiles and flexible fabric creases, achieving adaptable properties including morphing shape, selective multistability, and tunable stiffness. Independently pressurized folding bladders at each crease enable structurally coupled localized actuation of origami structures.
Tiantian Li, Jonathan Luntz, Diann Brei
wiley +1 more source
ITEGAM-JETIAThe industrial sector has undergone significant advancements in recent years, adopting efficient and state-of-the-art technologies that have reduced waste production and improved product quality and production efficiency. The wood cutting industry is no
Badri Narayan Mohapatra +2 more
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An Average Case NP-Complete Graph Coloring Problem
, 2017 NP-complete problems should be hard on some instances but those may be extremely rare. On generic instances many such problems, especially related to random graphs, have been proven easy. We show the intractability of random instances of a graph coloring
Levin, Leonid A. +1 more
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Advanced Functional Materials, EarlyView.This study introduces a novel multi‐scale scaffold design using L‐fractals arranged in Archimedean tessellations for tissue regeneration. Despite similar porosity, tiles display vastly different tensile responses (1–100 MPa) and deformation modes. In vitro experiments with hMSCs show geometry‐dependent growth and activity. Over 55 000 tile combinations
Maria Kalogeropoulou +4 more
wiley +1 more source