@article{8317,
  abstract     = {When can a polyomino piece of paper be folded into a unit cube? Prior work studied tree-like polyominoes, but polyominoes with holes remain an intriguing open problem. We present sufficient conditions for a polyomino with one or several holes to fold into a cube, and conditions under which cube folding is impossible. In particular, we show that all but five special “basic” holes guarantee foldability.},
  author       = {Aichholzer, Oswin and Akitaya, Hugo A. and Cheung, Kenneth C. and Demaine, Erik D. and Demaine, Martin L. and Fekete, Sándor P. and Kleist, Linda and Kostitsyna, Irina and Löffler, Maarten and Masárová, Zuzana and Mundilova, Klara and Schmidt, Christiane},
  issn         = {09257721},
  journal      = {Computational Geometry: Theory and Applications},
  publisher    = {Elsevier},
  title        = {{Folding polyominoes with holes into a cube}},
  doi          = {10.1016/j.comgeo.2020.101700},
  volume       = {93},
  year         = {2021},
}

@article{793,
  abstract     = {Let P be a finite point set in the plane. A cordinary triangle in P is a subset of P consisting of three non-collinear points such that each of the three lines determined by the three points contains at most c points of P . Motivated by a question of Erdös, and answering a question of de Zeeuw, we prove that there exists a constant c &gt; 0such that P contains a c-ordinary triangle, provided that P is not contained in the union of two lines. Furthermore, the number of c-ordinary triangles in P is Ω(| P |). },
  author       = {Fulek, Radoslav and Mojarrad, Hossein and Naszódi, Márton and Solymosi, József and Stich, Sebastian and Szedlák, May},
  issn         = {09257721},
  journal      = {Computational Geometry: Theory and Applications},
  pages        = {28 -- 31},
  publisher    = {Elsevier},
  title        = {{On the existence of ordinary triangles}},
  doi          = {10.1016/j.comgeo.2017.07.002},
  volume       = {66},
  year         = {2017},
}

