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Tessellation

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Book cover Faces of Geometry. From Agnesi to Mirzakhani

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 88))

Abstract

In this contribution we discuss tessellation. We analyze basic tessellation, types of tessellation, geometric approach and applications of tessellation in geometry as well as in architecture and art. We study as well as groups of tessellation used in Spanish Alhambra [1,2,3]. Finally we open possibilities how to use tessellation for aggregations, aggregations functions and aggregate tessellation.

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References

  1. https://www.annenewman.com.au/the-alhambra-and-escher/

  2. http://rixosmagazine.com/the-alhambra-palace/

  3. http://www.Tessellations.org/tess-beginnings.shtml

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  6. Grunbau B (2006) What symmetry groups are present in the Alhambra? Notice of the AMS, vol 53, Num 6, pp 670–673

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  9. Montesinis JM (1987) Classical tessellations and threefolds. Springer, New York

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  10. http://mathworld.wolfram.com/WallpaperGroups.html

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  12. https://www.nvidia.com/object/tessellation.html

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Acknowledgements

The author acknowledges the Scientific Slovak Agency APVV-14-0013 and VEGA 1/0006/19.

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Authors and Affiliations

  1. Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Bratislava, Slovakia

    Mária Ždímalová

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  1. Mária Ždímalová
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Correspondence to Mária Ždímalová .

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Editors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Milano, Milan, Italy

    Paola Magnaghi-Delfino

  2. Università degli Studi eCampus, Novedrate, Italy

    Giampiero Mele

  3. Dipartimento di Matematica, Politecnico di Milano, Milan, Italy

    Tullia Norando

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Ždímalová, M. (2020). Tessellation. In: Magnaghi-Delfino, P., Mele, G., Norando, T. (eds) Faces of Geometry. From Agnesi to Mirzakhani. Lecture Notes in Networks and Systems, vol 88. Springer, Cham. https://doi.org/10.1007/978-3-030-29796-1_19

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  • DOI: https://doi.org/10.1007/978-3-030-29796-1_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-29795-4

  • Online ISBN: 978-3-030-29796-1

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