On substitution tilings of the plane with n-fold rotational symmetry
| Autor: | Gregory R. Maloney |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
General Computer Science
ComputingMethodologies_SIMULATIONANDMODELING Computer assistance Substitution tiling Rotational symmetry Metric Geometry (math.MG) Theoretical Computer Science Algorithm Combinatorics [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM] Planar Mathematics - Metric Geometry FOS: Mathematics Discrete Mathematics and Combinatorics Rhombs Tiling Mathematics |
| Popis: | Discrete Algorithms A method is described for constructing, with computer assistance, planar substitution tilings that have n-fold rotational symmetry. This method uses as prototiles the set of rhombs with angles that are integer multiples of pi/n, and includes various special cases that have already been constructed by hand for low values of n. An example constructed by this method for n = 11 is exhibited; this is the first substitution tiling with elevenfold symmetry appearing in the literature. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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