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Dilative Rotation, Dilative Reflection in Mathematics, Nature, Art, and Education

In: Complex Symmetries

Author

Listed:
  • Eleonóra Stettner

    (Szent István University Kaposvár Campus, Methodological Institute)

  • György Emese

    (Xántus J. Bilingual Secondary School)

Abstract

The article can be divided into three main parts. In the first part, the most common composite transformations in plane and space are defined and organized from a mathematical perspective. These are the compositions of central similitude and different isomorphisms: dilative rotation and dilative reflection. Then we talk about the relationship between the various spirals and the above-mentioned transformations. In the second part, we examine where we can meet composite symmetries in nature and certain works of art (highlighting the works of M. C. Escher and a couple of his followers). In the third part, building on the teaching experiences of the authors, we give a summary of composite symmetries on different levels of education, occurring usually only implicitly, and propose some more possibilities that can be used in or outside of class.

Suggested Citation

  • Eleonóra Stettner & György Emese, 2021. "Dilative Rotation, Dilative Reflection in Mathematics, Nature, Art, and Education," Springer Books, in: György Darvas (ed.), Complex Symmetries, pages 143-162, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-88059-0_12
    DOI: 10.1007/978-3-030-88059-0_12
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