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» A Fibonacci tiling of the plane
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CG
2002
Springer
13 years 7 months ago
Chaotic attractors exhibiting quasicrystalline structure
An extension of canonical projection allowing the projection of objects from higher dimensional space onto quasicrystalline structures is developed. In particular, we create symme...
Clifford A. Reiter
ICASSP
2011
IEEE
12 years 11 months ago
Adjugate pairs of sparse arrays for sampling two dimensional signals
Sparse sampling with coprime lattice arrays was introduced recently in the literature. It has been shown that a dense coarray can be constructed from such a pair of arrays, and is...
Palghat P. Vaidyanathan, Piya Pal
CCCG
2006
13 years 8 months ago
Hamiltonian Cycles in Triangular Grids
We study the Hamiltonian Cycle problem in graphs induced by subsets of the vertices of the tiling of the plane with equilateral triangles. By analogy with grid graphs we call such...
Valentin Polishchuk, Esther M. Arkin, Joseph S. B....
FOCS
2006
IEEE
14 years 1 months ago
Points on Computable Curves
The “analyst’s traveling salesman theorem” of geometric measure theory characterizes those subsets of Euclidean space that are contained in curves of finite length. This re...
Xiaoyang Gu, Jack H. Lutz, Elvira Mayordomo
CCCG
2003
13 years 8 months ago
Coloring Objects Built From Bricks
We address a question posed by Sibley and Wagon. They proved that rhombic Penrose tilings in the plane can be 3colored, but a key lemma of their proof fails in the natural 3D gene...
Suzanne Gallagher, Joseph O'Rourke