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» A Fibonacci tiling of the plane
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DM
2002
107views more  DM 2002»
13 years 4 months ago
A Fibonacci tiling of the plane
Abstract. We describe a tiling of the plane, motivated by architectural constructions of domes, in which the Fibonacci series appears in many ways.
Charles W. Huegy, Douglas B. West
DGCI
2009
Springer
13 years 8 months ago
Christoffel and Fibonacci Tiles
Among the polyominoes that tile the plane by translation, the so-called squares have been conjectured to tile the plane in at most two distinct ways (these are called double square...
Alexandre Blondin Massé, Srecko Brlek, Aria...
JUCS
2002
92views more  JUCS 2002»
13 years 4 months ago
Tiling the Hyperbolic Plane with a Single Pentagonal Tile
: In this paper, we study the number of tilings of the hyperbolic plane that can be constructed, starting from a single pentagonal tile, the only permitted transformations on the b...
Maurice Margenstern
ICALP
2009
Springer
14 years 5 months ago
High Complexity Tilings with Sparse Errors
Abstract. Tile sets and tilings of the plane appear in many topics ranging from logic (the Entscheidungsproblem) to physics (quasicrystals). The idea is to enforce some global prop...
Bruno Durand, Andrei E. Romashchenko, Alexander Sh...
CORR
2010
Springer
82views Education» more  CORR 2010»
13 years 2 months ago
Computing (or not) Quasi-Periodicity Functions of Tilings
Abstract. We know that tilesets that can tile the plane always admit a quasiperiodic tiling [4, 8], yet they hold many uncomputable properties [3, 11, 21, 25]. The quasi-periodicit...
Alexis Ballier, Emmanuel Jeandel