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Libros sobre el tema "Tiling (mathematics)"

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Autor: Grafiati
Publicado: 4 de junio de 2021
Última modificación: 24 de febrero de 2023

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1

Topology of tiling spaces. Providence, R.I: American Mathematical Society, 2008.

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2

Grünbaum, Branko. Tilings and patterns: An introduction. New York: W.H. Freeman, 1989.

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3

Deen, Marilyn. Tiling shapes. Mankato, Minn: Capstone Press, 2012.

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4

Kaplan, Craig. Introductory tiling theory for computer graphics. San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA): Morgan & Claypool Publishers, 2009.

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5

Carroll, Danielle. Tiling with shapes. Bloomington, Minn: Red Brick Learning, 2005.

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6

Radin, Charles. Miles of tiles. Providence, RI: American Mathematical Society, 1999.

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7

Grünbaum, Branko. Tilings and patterns. New York: W.H. Freeman, 1987.

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8

Gailiunas, Paul. Geometry with cut mats: Mathematical activity tiles : the next generation. Derby: Association of Teachers of Mathematics, 1996.

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9

K, Stein Sherman. Algebra and tiling: Homomorphisms in the service of geometry. [Washington, DC]: Mathematical Association of America, 1994.

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10

Stein, Sherman K. Algebra and tiling: Homomorphisms in the service of geometry. [Washington, D.C.]: Mathematical Association of America, 2006.

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11

Martin, George Edward. Polyominoes: A guide to puzzles and problems in tiling. [Washington, D.C.]: Mathematical Association of America, 1991.

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12

Ciucu, Mihai. A random tiling model for two-dimensional electrostatics. Providence, RI: American Mathematical Society, 2005.

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13

Sugihara, Kōkichi. Esshā majikku: Damashie no sekai o sūri de yomitoku. 8a ed. Tōkyō-to Bunkyō-ku: Tōkyō Daigaku Shuppankai, 2011.

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14

1941-, Moody R. V., North Atlantic Treaty Organization. Scientific Affairs Division. y NATO Advanced Study Institute on the Mathematics of Long-Range Aperiodic Order (1995 : Fields Institute), eds. The mathematics of long-range aperiodic order. Dordrecht: Kluwer Academic Publishers, 1997.

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15

Kirkby, Dave. Patterns. Oxford: Heinemann Library, 1995.

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16

Smoothey, Marion. Shape patterns. New York: Marshall Cavendish, 1993.

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17

Kirkby, David. Patterns. Crystal Lake, IL: Rigby Interactive Library, 1996.

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18

Kirkby, David. Patterns. Crystal Lake, IL: Rigby Interactive Library, 1996.

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19

Horne, Clare E. Geometric symmetry in patterns and tilings. Cambridge, England: Textile Industries, 2000.

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20

John, Gregory. Investigating with TesselTiles. Vernon Hills, Ill: ETA/Cuisenaire, 2004.

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21

Ciucu, Mihai. The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions. Providence, R.I: American Mathematical Society, 2009.

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22

Smoothey, Marion. Shape patterns. New York: Marshall Cavendish, 1993.

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23

Smoothey, Marion. Statistics. New York: Marshall Cavendish, 1993.

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24

Schattschneider, Doris. M.C. Escher kaleidocycles. Corte Madera, Calif: Pomegranate Artbooks, 1987.

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25

Furst, Veronika, Keri A. Kornelson y Eric S. Weber. Operator methods in wavelets, tilings, and frames. Providence, Rhode Island: American Mathematical Society, 2014.

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26

Olsen, Terje Bruen. Fast vitenskapelig personale i MNT-fagene ved universitetene: En kartlegging av erstatningsbehov og tilgang på nytt personale basert på registerdata. Oslo: NIFU STEP, 2009.

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27

Meakin, Robert L. Global flowfield about the V-22 tiltrotor aircraft: Progress report for NASA cooperative agreement NCC2-747. [Moffett Field, Calif.]: The Branch, 1995.

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28

Meakin, Robert L. Global flowfield about the V-22 tiltrotor aircraft: Final report of NASA cooperative agreement NCC2-747. Los Altos, CA: Overset Methods, Inc., 1996.

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29

Deen, Marilyn. Tiling Shapes. Capstone, 2021.

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30

Adams, Colin. Tiling Book: An Introduction to the Mathematical Theory of Tilings. American Mathematical Society, 2022.

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31

Kaplan, Craig. Introductory Tiling Theory for Computer Graphics. Springer International Publishing AG, 2009.

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32

Shephard, Geoffrey C. y Branko Grunbaum. Tilings and Patterns. Freeman & Company, W. H., 1991.

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33

Moody, R. V. The Mathematics of Long-Range Aperiodic Order. Springer, 2010.

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34

Moody, R. V. The Mathematics of Long-Range Aperiodic Order. Springer, 1997.

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35

Pilgrim, Mary, Al Cuoco, Glenn Stevens, Bowen Kerins y Darryl Yong. Fractions, Tilings, and Geometry. American Mathematical Society, 2018.

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36

Ensamblando Figuras Geométricas/tiling With Shapes. Yellow Umbrella Books, 2006.

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37

Shephard, G. C. y Branko Grunbaum. Tilings and Patterns. Dover Publications, Incorporated, 2016.

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38

Horne, C. E. Geometric Symmetry in Patterns and Tilings. Elsevier Science & Technology, 2000.

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39

Stein, Sherman y Sandor Szabs. Algebra and Tiling: Homomorphisms in the Service of Geometry (Carus Mathematical Monographs). The Mathematical Association of America, 1996.

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40

Caroll, Danielle. Ensamblando Figuras Geometricas/ Tiling With Shapes (Yellow Umbrella Books. Mathematics. Spanish.). Red Brick, 2006.

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41

Shephard, G. C. y Branko Gruenbaum. Tilings and Patterns (A Series of books in the mathematical sciences). W H Freeman & Co, 1986.

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42

Oliver, June. Polysymetrics. Tarquin, 1986.

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43

Krajcevski, Mile. Tilings of the Plane, Hyperbolic Groups and Small Cancellation Conditions. American Mathematical Society, 2001.

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44

Gregory, John. Investigating with TesselTiles. ETA, 1999.

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45

Milne, Andy. Linking Sonic Aesthetics with Mathematical Theories. Editado por Roger T. Dean y Alex McLean. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780190226992.013.6.

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Resumen
Pure mathematics provides principles, procedures, and ways of thinking that can be fruitful starting points for music composition, performance, and algorithmic generation. In this chapter, a number of mathematical methods are suggested as useful ways to define and transform underlying musical structures such as metres and scales, and to realize these structures as finished pieces of music. The mathematical methods include the discrete Fourier transform, geometry, algebraic word theory, and tiling, and the chapter explains how these relate to musical features such as periodicity (or lack of periodicity), well-formedness, microtonality, canons, rhythmic hierarchies, and polyrhythms. The chapter closes with a detailed examination of a musical piece derived from the described processes.
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46

Janssen, Ted, Gervais Chapuis y Marc de Boissieu. Tilings: mathematical models for quasicrystals. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198824442.003.0003.

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This chapter discusses tilings as mathematical models for quasicrystals. In a first approximation quasicrystals may be described as being space filling with copies of two or more types of tiles. This description gives a connection with the mathematical notion of tilings, which have been well studied. A brief introduction of tilings is presented in this chapter along with the method of substitution to create aperiodic tilings. The symmetry of the tilings is also treated in this chapter, as are model sets and random tilings. Quasiperiodic crystals often have approximants, that is, periodic structures that are close to the aperiodic ones. The relations between quasiperiodic crystals and approximants also is described in this chapter.
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47

Gorin, Vadim. Lectures on Random Lozenge Tilings. University of Cambridge ESOL Examinations, 2021.

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48

Gorin, Vadim. Lectures on Random Lozenge Tilings. University of Cambridge ESOL Examinations, 2021.

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49

Escher, M. C. M. C. Escher Caleidocycli. Taco/Librero, 1989.

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50

Taschen Publishing y Benedikt Taschen. M. C. Escher, Calidociclos. Benedikt Taschen Verlag, 1993.

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