Results 151 to 160 of about 2,994 (170)
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Mathematics Magazine, 1976
A plane polyomino of order n is defined by Solomon W. Golomb [4] as a set of n congruent squares that are simply connected, edge-to-edge. A three-dimensional, or solid, polyomino of order n is a set of n congruent cubes that are simply connected, face-to-face. These are easily made by gluing like cubes together in all permissible patterns.
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A plane polyomino of order n is defined by Solomon W. Golomb [4] as a set of n congruent squares that are simply connected, edge-to-edge. A three-dimensional, or solid, polyomino of order n is a set of n congruent cubes that are simply connected, face-to-face. These are easily made by gluing like cubes together in all permissible patterns.
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2016 IEEE Congress on Evolutionary Computation (CEC), 2016
A polyomino puzzle is a collection of polyominos that can be joined to make a simple shape. The game Ten-Yen was one of the first of these. It has ten polyomino pieces that could be used to make a 6×6 square in a variety of ways. In this study we define representations and fitness functions for generating polyomino puzzles as well as developing a ...
Daniel Ashlock, Lauren Taylor
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A polyomino puzzle is a collection of polyominos that can be joined to make a simple shape. The game Ten-Yen was one of the first of these. It has ten polyomino pieces that could be used to make a 6×6 square in a variety of ways. In this study we define representations and fitness functions for generating polyomino puzzles as well as developing a ...
Daniel Ashlock, Lauren Taylor
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ACM Transactions on Graphics, 2007
We present a new general-purpose method for fast hierarchical importance sampling with blue-noise properties. Our approach is based on self-similar tiling of the plane or the surface of a sphere with rectifiable polyominoes. Sampling points are associated with polyominoes, one point per polyomino.
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We present a new general-purpose method for fast hierarchical importance sampling with blue-noise properties. Our approach is based on self-similar tiling of the plane or the surface of a sphere with rectifiable polyominoes. Sampling points are associated with polyominoes, one point per polyomino.
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Q-grammars and wall polyominoes
Annals of Combinatorics, 1999A wall polyomino (or bar-graph polygon or solid-on-solid walk) is defined as a vertically convex polyomino in which all columns have their lowest cell at the same level. The upper path of such a polyomino can be bijectively coded with words using letters \(x\), \(y\), \(\overline y\) (corresponding to east, north and south steps).
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Information Processing Letters, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2015
Title: Extremal Polyominoes Author: Veronika Steffanová Department: Department of Applied Mathematics Supervisor: Doc. RNDr. Pavel Valtr, Dr. Abstract: The thesis is focused on polyominoes and other planar figures consisting of regular polygons, namely polyiamonds and polyhexes.
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Title: Extremal Polyominoes Author: Veronika Steffanová Department: Department of Applied Mathematics Supervisor: Doc. RNDr. Pavel Valtr, Dr. Abstract: The thesis is focused on polyominoes and other planar figures consisting of regular polygons, namely polyiamonds and polyhexes.
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