@article {AA,
    AUTHOR = {Akopyan, Arseniy and Avvakumov, Sergey},
     TITLE = {Any cyclic quadrilateral can be inscribed in any closed convex
              smooth curve},
   JOURNAL = {Forum Math. Sigma},
  FJOURNAL = {Forum of Mathematics. Sigma},
    VOLUME = {6},
      YEAR = {2018},
     PAGES = {e7, 9~pages},
       URL = {https://doi.org/10.1017/fms.2018.7},
    EPRINT = {1712.10205},
}

@article {AB,
    AUTHOR = {Akopyan, Arseniy V. and Bobenko, Alexander I.},
     TITLE = {Incircular nets and confocal conics},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {370},
      YEAR = {2018},
    NUMBER = {4},
     PAGES = {2825--2854},

    EPRINT = {1602.04637},
}

@book {Ar-problems,
    AUTHOR = {Arnold, Vladimir I.},
     TITLE = {Arnold's problems},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {2004},
     PAGES = {xvi+639},
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}

@mics {Ar-kids-problems,
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}

@book {Arnold,
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      YEAR = {2014},
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@article {Ar,
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@book {AVG,
    AUTHOR = {Arnold, V. I. and Gusein-Zade, S. M. and Varchenko, A. N.},
     TITLE = {Singularities of differentiable maps, {V}ol.~{I}. The classification of critical points, caustics and wave
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    SERIES = {Monographs in Mathematics},
    VOLUME = {82},
 PUBLISHER = {Birkh\"{a}user Boston, Inc., Boston, MA},
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}

@article {BLPR,
    AUTHOR = {Baritompa, Bill and L\"{o}wen, Rainer and Polster, Burkard and
              Ross, Marty},
     TITLE = {Mathematical table-turning revisited},
   JOURNAL = {Math. Intelligencer},
  FJOURNAL = {The Mathematical Intelligencer},
    VOLUME = {29},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {49--58},
       URL = {https://doi.org/10.1007/BF02986206},

}

@article {DD,
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              and Mitchell, Joseph S. B. and Rivest, Ronald L. and P\v{a}tra\c{s}cu,
              Mihai},
     TITLE = {Picture-hanging puzzles},
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  FJOURNAL = {Theory of Computing Systems},
    VOLUME = {54},
      YEAR = {2014},
    NUMBER = {4},
     PAGES = {531--550},
       URL = {https://doi.org/10.1007/s00224-013-9501-0},
    EPRINT = {1203.3602},
}

@article {DT,
    AUTHOR = {Tabachnikov, Serge and Dogru, Filiz},
     TITLE = {Dual billiards},
   JOURNAL = {Math. Intelligencer},
  FJOURNAL = {The Mathematical Intelligencer},
    VOLUME = {27},
      YEAR = {2005},
    NUMBER = {4},
     PAGES = {18--25},
       URL = {https://doi.org/10.1007/BF02985854},
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@article {Fe,
    AUTHOR = {Fenn, Roger},
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  FJOURNAL = {The Bulletin of the London Mathematical Society},
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     PAGES = {73--76},
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@book {FTb,
    AUTHOR = {Fuchs, Dmitry and Tabachnikov, Serge},
     TITLE = {Mathematical omnibus. Thirty lectures on classic mathematics},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2007},
     PAGES = {xvi+463},
       URL = {https://doi.org/10.1090/mbk/046},
}

@article {FT,
    AUTHOR = {Fuchs, Dmitry and Tabachnikov, Serge},
     TITLE = {Self-dual polygons and self-dual curves},
   JOURNAL = {Funct. Anal. Other Math.},
  FJOURNAL = {Functional Analysis and Other Mathematics},
    VOLUME = {2},
      YEAR = {2009},
    NUMBER = {2-4},
     PAGES = {203--220},
       URL = {https://doi.org/10.1007/s11853-008-0020-5},
    EPRINT = {0707.1048},
}

@article {GIT,
    AUTHOR = {Glutsyuk, A. and Izmestiev, I. and Tabachnikov, S.},
     TITLE = {Four equivalent properties of integrable billiards},
   JOURNAL = {Israel~J. Math.},
      NOTE = {{t}o appear},
    EPRINT = {1909.09028},
}

@book {Gr,
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     TITLE = {Tubes},
 PUBLISHER = {Addison-Wesley Publishing Company, Advanced Book Program,
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@article {HW,
    AUTHOR = {Halpern, B. and Weaver, C.},
     TITLE = {Inverting a cylinder through isometric immersions and
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   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {230},
      YEAR = {1977},
     PAGES = {41--70},
       URL = {https://doi.org/10.2307/1997711},
}

@article {IT,
    AUTHOR = {Izmestiev, Ivan and Tabachnikov, Serge},
     TITLE = {Ivory's theorem revisited},
   JOURNAL = {J.~Integrable Syst.},
  FJOURNAL = {Journal of Integrable Systems},
    VOLUME = {2},
      YEAR = {2017},
    NUMBER = {1},
     PAGES = {xyx006, 36~pages},
       URL = {https://doi.org/10.1093/integr/xyx006},
    EPRINT = {1610.01384},
}

@mics {Izosimov2019,
    AUTHOR = {Izosimov, Anton},
     TITLE = {The pentagram map, {P}oncelet polygons, and commuting difference operators},
    EPRINT = {1906.10749},
}

@article {Khovanova,
    AUTHOR = {Khovanova, Tanya},
     TITLE = {Martin {G}ardner's mistake},
   JOURNAL = {College Math.~J.},
  FJOURNAL = {The College Mathematics Journal},
    VOLUME = {43},
      YEAR = {2012},
    NUMBER = {1},
     PAGES = {20--24},
       URL = {https://doi.org/10.4169/college.math.j.43.1.020},
    EPRINT = {1102.0173},
      NOTE = {see also \url{http://blog.tanyakhovanova.com}},
}

@article {KK,
    AUTHOR = {Kronheimer, E. H. and Kronheimer, P. B.},
     TITLE = {The tripos problem},
   JOURNAL = {J.~London Math. Soc.},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {24},
      YEAR = {1981},
    NUMBER = {1},
     PAGES = {182--192},
       URL = {https://doi.org/10.1112/jlms/s2-24.1.182},
}

@article {Li,
    AUTHOR = {Livesay, George R.},
     TITLE = {On a theorem of {F}.{J}.~{D}yson},
   JOURNAL = {Ann. of Math.},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {59},
      YEAR = {1954},
     PAGES = {227--229},
       URL = {https://doi.org/10.2307/1969689},
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@article {Ma,
    AUTHOR = {Matschke, Benjamin},
     TITLE = {A survey on the square peg problem},
   JOURNAL = {Notices Amer. Math. Soc.},
  FJOURNAL = {Notices of the American Mathematical Society},
    VOLUME = {61},
      YEAR = {2014},
    NUMBER = {4},
     PAGES = {346--352},
       URL = {https://doi.org/10.1090/noti1100},
}

@article {Me,
    AUTHOR = {Meyerson, Mark D.},
     TITLE = {Remarks on {F}enn's ``the table theorem'' and {Z}aks' ``the
              chair theorem''},
   JOURNAL = {Pacific~J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {110},
      YEAR = {1984},
    NUMBER = {1},
     PAGES = {167--169},
       URL = {https://doi.org/10.2140/pjm.1984.110.167},
}

@book {Michor,
    AUTHOR = {Michor, Peter W.},
     TITLE = {Topics in differential geometry},
    SERIES = {Graduate Studies in Mathematics},
    VOLUME = {93},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2008},
     PAGES = {xii+494},
       URL = {https://doi.org/10.1090/gsm/093},
}

@article {RMBC,
    AUTHOR = {Rapha\"el, E. and di Meglio, J.-M. and Berger, M. and Calabi, E.},
     TITLE = {Convex particles at interfaces},
   JOURNAL = {J.~Phys.~I France},
  FJOURNAL = {J.~Phys.~I France},
    VOLUME = {2},
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    NUMBER = {5},
     PAGES = {571--579},
       URL = {https://doi.org/10.1051/jp1:1992112},
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@book {Sa,
    AUTHOR = {Santal\'{o}, Luis A.},
     TITLE = {Integral geometry and geometric probability},
    SERIES = {Encyclopedia of Mathematics and its Applications},
    VOLUME = {1},
 PUBLISHER = {Addison-Wesley Publishing Co., Reading, Mass.~-- London~-- Amsterdam},
      YEAR = {1976},
     PAGES = {xvii+404},
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@article {schwartz1992pentagram,
    AUTHOR = {Schwartz, Richard},
     TITLE = {The pentagram map},
   JOURNAL = {Experiment. Math.},
  FJOURNAL = {Experimental Mathematics},
    VOLUME = {1},
      YEAR = {1992},
    NUMBER = {1},
     PAGES = {71--81},
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@article {Sch,
    AUTHOR = {Schwartz, Richard},
     TITLE = {The {P}oncelet grid},
   JOURNAL = {Adv. Geom.},
  FJOURNAL = {Advances in Geometry},
    VOLUME = {7},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {157--175},
       URL = {https://doi.org/10.1515/ADVGEOM.2007.010},
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@article {schwartz2010elementary,
    AUTHOR = {Schwartz, Richard and Tabachnikov, Serge},
     TITLE = {Elementary surprises in projective geometry},
   JOURNAL = {Math. Intelligencer},
  FJOURNAL = {The Mathematical Intelligencer},
    VOLUME = {32},
      YEAR = {2010},
    NUMBER = {3},
     PAGES = {31--34},
       URL = {https://doi.org/10.1007/s00283-010-9137-8},
    EPRINT = {0910.1952},
}

@book {TaB,
    AUTHOR = {Tabachnikov, Serge},
     TITLE = {Geometry and billiards},
    SERIES = {Student Mathematical Library},
    VOLUME = {30},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2005},
     PAGES = {xii+176},
       URL = {https://doi.org/10.1090/stml/030},
}

@article {Ta,
    AUTHOR = {Tabachnikov, Serge},
     TITLE = {The (un)equal tangents problem},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {119},
      YEAR = {2012},
    NUMBER = {5},
     PAGES = {398--405},
       URL = {https://doi.org/10.4169/amer.math.monthly.119.05.398},
    EPRINT = {1102.5577},
}

@article {TaK,
    AUTHOR = {Tabachnikov, Serge},
     TITLE = {Kasner meets {P}oncelet},
   JOURNAL = {Math. Intelligencer},
  FJOURNAL = {The Mathematical Intelligencer},
    VOLUME = {41},
      YEAR = {2019},
    NUMBER = {4},
     PAGES = {56--59},
       URL = {https://doi.org/10.1007/s00283-019-09897-5},
    EPRINT = {1707.09267},
}
