SYMMETRIES OF P-POLYGONS

Authors

  • Rolf Haag Independent Researcher, Russia Author

DOI:

https://doi.org/10.61841/nn-as-12-1-11

Keywords:

Hamiltonian cycles, P-polygons, Symmetry

Abstract

In addition to general considerations, the present work includes the enumeration of the equivalence-classes of p-polygons with p vertices for p
≥5 with certain symmetryproperties:
1. We count the equivalence-classes of p-polygons with p symmetry axes, the so called regular polygons.
2. We count the equivalence-classes of p-polygons with exactly one axis of symmetry.
3. We count the equivalence-classes of p-polygons with no axis of symmetry, the so called asymmetrical p-polygons.
For p = 5 and p = 7 we show in all three cases a set of representatifs of the equivalence classes.

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Published

2026-02-20

Issue

Vol. 12 No. 1 (2026): Journal of Advance Research in Applied Science (ISSN 2208-2352)

Section

Articles

License

Copyright (c) 2026 Rolf Haag (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

SYMMETRIES OF P-POLYGONS (R. Haag, Trans.). (2026). Journal of Advance Research in Applied Science (ISSN 2208-2352), 12(1), 1-7. https://doi.org/10.61841/nn-as-12-1-11