Results 21 to 30 of about 84,353 (275)

The Symbolic Dynamics Of Multidimensional Tiling Systems [PDF]

, 2003
We prove a multidimensional version of the theorem that every shift of finite type has a power that can be realized as the same power of a tiling system.
Coven, E. M., Johnson, Aimee S.A., Jonoska, N., Madden, K.   +3 more
core   +2 more sources

Tackling Area Coverage Problems in a Reconfigurable Floor Cleaning Robot Based on Polyomino Tiling Theory

Applied Sciences, 2018
Whilst Polyomino tiling theory has been extensively studied as a branch of research in mathematics, its application has been largely confined to multimedia, graphics and gaming domains.
Veerajagadheswar Prabakaran, Rajesh Elara Mohan, Vinu Sivanantham, Thejus Pathmakumar, Suganya Sampath Kumar   +4 more
doaj   +1 more source

Fractal spectral triples on Kellendonk's $C^*$-algebra of a substitution tiling [PDF]

, 2016
We introduce a new class of noncommutative spectral triples on Kellendonk's $C^*$-algebra associated with a nonperiodic substitution tiling. These spectral triples are constructed from fractal trees on tilings, which define a geodesic distance between ...
Anderson, Bellissard, Bellissard, Bellissard, Connes, Connes, Frank, Julien, Julien, Julien, Julien, Kellendonk, Kellendonk, Kellendonk, Kellendonk, Kellendonk, Michael F. Whittaker, Michael Mampusti, Pearson, Pedersen, Putnam, Radin, Renault, Rieffel, Sadun, Shechtman, Starling, Whittaker, Whittaker, Whittaker   +29 more
core   +3 more sources

Quantum Spins and Quasiperiodicity: a real space renormalization group approach [PDF]

, 2003
We study the antiferromagnetic spin-1/2 Heisenberg model on a two-dimensional bipartite quasiperiodic structure, the octagonal tiling -- the aperiodic equivalent of the square lattice for periodic systems.
A. Jagannathan, C. Godreche, G. Sierra, J. Hermisson, J. Hermisson, J. X. Zhong, Kazuo Hida, M. Gardner, Miguel A. Martin-Delgado   +8 more
core   +1 more source

Tradeoff Between Area Coverage and Energy Usage of a Self-Reconfigurable Floor Cleaning Robot Based on User Preference

IEEE Access, 2020
Floor cleaning robots have been developed to cope with the issues arisen with conventional cleaning methods that involve extensive human labor. hTetro is a self-reconfigurable floor cleaning robot that has been introduced to improve area coverage ...
M. A. Viraj J. Muthugala, S. M. Bhagya P. Samarakoon, Mohan Rajesh Elara   +2 more
doaj   +1 more source

Development of Dynamics for Design Procedure of Novel Grating Tiling Device with Experimental Validation

Applied Sciences, 2021
The article proposes a dynamic for design (DFD) procedure for a novel aperture grating tiling device using the multibody system (MBS) approach. The grating device is considered as a rigid-flexible MBS that is built primarily based totally at the load ...
Qingshun Bai, Mohamed Shehata, Ayman Nada, Zhongxi Shao   +3 more
doaj   +1 more source

A Geodetic Normal Distribution Map for Long-Term LiDAR Localization on Earth

IEEE Access, 2021
Light detection and ranging (LiDAR) sensors enable a vehicle to estimate a pose by matching their measurements with a point cloud (PCD) map. However, the PCD map structure, widely used in robot fields, has some problems to be applied for mass production ...
Chansoo Kim, Sungjin Cho, Myoungho Sunwoo, Paulo Resende, Benazouz Bradai, Kichun Jo   +5 more
doaj   +1 more source

Determination of the bond percolation threshold for the Kagome lattice [PDF]

, 1997
The hull-gradient method is used to determine the critical threshold for bond percolation on the two-dimensional Kagome lattice (and its dual, the dice lattice).
Cao M-S, Enting I G, Gebele T, Golomb S W, Grassberger P, Grünbaum B, Gunn J M F, Guttmann A J, Hu C-K, Paul N Suding, Robert M Ziff, Rosso M, Roux S, Sapoval B, Stauffer D, Sykes M F, Tsallis C, van der Marck S C, Wang F, Wood W W, Wu F Y, Zierler N, Ziff R M, Ziff R M, Ziff R M, Ziff R M   +25 more
core   +1 more source

Topological critical states and anomalous electronic transmittance in one-dimensional quasicrystals

Physical Review Research, 2021
Due to the absence of periodic length scale, electronic states and their topological properties in quasicrystals have been barely understood. Here, we focus on one-dimensional quasicrystals and reveal that their electronic critical states are ...
Junmo Jeon, SungBin Lee
doaj   +1 more source

APERIODIC TILING USING P SYSTEM [PDF]

ICTACT Journal on Soft Computing, 2015
Tile Pasting P System is a computational model, based on the P System model, to generate two-dimensional tiling patterns using pasting rules at the edges of the regular polygons.
S. Jebasingh, T. Robinson, Atulya K. Nagar   +2 more
doaj