Geodesic
Rotary polygons in configurations
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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A polygon $A$ in a configuration $\mathcal{C}$ is called rotary if $\mathcal{C}$ admits an automorphism which acts upon $A$ as a one-step rotation. We study rotary polygons and their orbits under the group of automorphisms (and antimorphisms) of $\mathcal{C}$. We determine the number of such orbits for several symmetry types of rotary polygons in the case when $\mathcal{C}$ is flag-transitive. As an example, we provide tables of flag-transitive $(v_3)$ and $(v_4)$ configurations of small order containing information on the number and symmetry types of corresponding rotary polygons.
DOI : 10.37236/606
Classification : 05B30 
@article{10_37236_606,
     author = {Marko Boben and \v{S}tefko Miklavi\v{c} and Primo\v{z} Poto\v{c}nik},
     title = {Rotary polygons in configurations},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/606},
     zbl = {1217.05050},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/606/}
}
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AU  - Primož Potočnik
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Marko Boben; Štefko Miklavič; Primož Potočnik. Rotary polygons in configurations. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/606

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