@article{bang, author = {Bang, Th{\o}ger}, title = {A solution of the ``plank problem''}, journal = {Proceedings of the American Mathematical Society}, volume = {2}, number = {6}, year = {1951}, pages = {990--993}, note = {\href{https://doi.org/10.2307/2031721}{doi:10.2307/2031721}} } @misc{bezdek-khan, author = {Bezdek, K{\'a}roly and Khan, Muhammad A.}, title = {The geometry of homothetic covering and illumination}, year = {2016}, note = {arXiv:1602.06040v2, 18 July 2016. \url{https://arxiv.org/abs/1602.06040v2}} } @misc{bezdek-litvak, author = {Bezdek, K{\'a}roly and Litvak, Alexander E.}, title = {Covering convex bodies by cylinders and lattice points by flats}, year = {2009}, note = {arXiv:0903.4842v1, 27 March 2009. \url{https://arxiv.org/abs/0903.4842v1}} } @misc{angular, author = {{OpenAI}}, title = {Finite angular cylinder covers below the half-area bound}, year = {2026}, note = {Preprint, 27 September 2026, \texttt{openai/math}. \url{https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-angular-cylinder-covers-below-the-half-area-bound-September-27-2026/main.pdf}} } @misc{ruled, author = {{OpenAI}}, title = {Finite cylinder approximation of ruled sets}, year = {2026}, note = {Preprint, 27 September 2026, \texttt{openai/math}. \url{https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-cylinder-approximation-of-ruled-sets-September-27-2026/main.pdf}} } @misc{slope, author = {{OpenAI}}, title = {Slope-field perturbations of the two-cylinder covering}, year = {2026}, note = {Preprint, 27 September 2026, \texttt{openai/math}. \url{https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Slope-field-perturbations-of-the-two-cylinder-covering-September-27-2026/main.pdf}} } @misc{radial, author = {{OpenAI}}, title = {Finite triangular approximation of radial sweeps}, year = {2026}, note = {Preprint, 27 September 2026, \texttt{openai/math}. \url{https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-triangular-approximation-of-radial-sweeps-September-27-2026/main.pdf}} }