@article{Bezdek2006,
  author  = {Bezdek, K{\'a}roly},
  title   = {Sphere packings revisited},
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  volume  = {27},
  number  = {6},
  pages   = {864--883},
  year    = {2006},
  doi     = {10.1016/j.ejc.2005.05.001},
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}

@article{CesaroniNovaga2026,
  author  = {Cesaroni, Annalisa and Novaga, Matteo},
  title   = {Local minimality of the truncated octahedron for the isoperimetric problem on parallelohedra},
  journal = {Bollettino dell'Unione Matematica Italiana},
  year    = {2026},
  month   = aug,
  doi     = {10.1007/s40574-026-00542-6},
  url     = {https://doi.org/10.1007/s40574-026-00542-6},
  note    = {Published online 13 Aug 2026; arXiv:2603.27221}
}

@article{Fedorov1885,
  author  = {Fedorov, Evgraf Stepanovich},
  title   = {Nachala ucheniya o figurakh [{Elements of the theory of figures}]},
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  volume  = {21},
  pages   = {1--279},
  year    = {1885},
  note    = {Second series; in Russian. Reprinted by the Academy of Sciences of the USSR, Moscow, 1953}
}

@book{FejesToth1964,
  author    = {Fejes T{\'o}th, L{\'a}szl{\'o}},
  title     = {Regular Figures},
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  publisher = {Pergamon Press},
  address   = {Oxford},
  year      = {1964}
}

@article{Garber2025,
  author  = {Garber, Alexey},
  title   = {Voronoi conjecture for five-dimensional parallelohedra},
  journal = {Inventiones Mathematicae},
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  number  = {2},
  pages   = {587--631},
  year    = {2025},
  doi     = {10.1007/s00222-025-01325-0},
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}

@article{JoosLangi2023,
  author  = {Jo{\'o}s, Antal and L{\'a}ngi, Zsolt},
  title   = {Isoperimetric problems for zonotopes},
  journal = {Mathematika},
  volume  = {69},
  number  = {2},
  pages   = {508--534},
  year    = {2023},
  doi     = {10.1112/mtk.12191},
  url     = {https://doi.org/10.1112/mtk.12191}
}

@article{Kelvin,
  author  = {Thomson, William},
  title   = {{LXIII}. {On} the division of space with minimum partitional area},
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  volume  = {24},
  number  = {151},
  pages   = {503--514},
  year    = {1887},
  doi     = {10.1080/14786448708628135},
  url     = {https://doi.org/10.1080/14786448708628135},
  note    = {Series 5; author also known as Lord Kelvin}
}

@article{Langi2022,
  author  = {L{\'a}ngi, Zsolt},
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  journal = {Pacific Journal of Mathematics},
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  number  = {1},
  pages   = {169--181},
  year    = {2022},
  doi     = {10.2140/pjm.2022.316.169},
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  note    = {arXiv:2102.11621}
}

@article{McMullen1975,
  author  = {McMullen, Peter},
  title   = {Space tiling zonotopes},
  journal = {Mathematika},
  volume  = {22},
  number  = {2},
  pages   = {202--211},
  year    = {1975},
  doi     = {10.1112/S0025579300006082},
  url     = {https://doi.org/10.1112/S0025579300006082}
}

@article{McMullen1980,
  author  = {McMullen, Peter},
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  number  = {1},
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  year    = {1980},
  doi     = {10.1112/S0025579300010007},
  url     = {https://doi.org/10.1112/S0025579300010007}
}

@article{Minkowski1897,
  author  = {Minkowski, Hermann},
  title   = {{Allgemeine Lehrs{\"a}tze {\"u}ber die convexen Polyeder}},
  journal = {Nachrichten von der K{\"o}niglichen Gesellschaft der Wissenschaften zu G{\"o}ttingen, Mathematisch-Physikalische Klasse},
  pages   = {198--219},
  year    = {1897},
  url     = {https://eudml.org/doc/58391}
}

@book{Oxley,
  author    = {Oxley, James},
  title     = {Matroid Theory},
  edition   = {Second},
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  address   = {Oxford},
  year      = {2011},
  doi       = {10.1093/acprof:oso/9780198566946.001.0001},
  url       = {https://doi.org/10.1093/acprof:oso/9780198566946.001.0001},
  isbn      = {978-0-19-856694-6}
}

@article{Shephard1974,
  author  = {Shephard, Geoffrey C.},
  title   = {Combinatorial properties of associated zonotopes},
  journal = {Canadian Journal of Mathematics},
  volume  = {26},
  number  = {2},
  pages   = {302--321},
  year    = {1974},
  doi     = {10.4153/CJM-1974-032-5},
  url     = {https://doi.org/10.4153/CJM-1974-032-5}
}

@unpublished{Song2026,
  author = {Song, Lark},
  title  = {Local stability for the truncated octahedral conjecture},
  month  = sep,
  year   = {2026},
  note   = {Preprint, arXiv:2609.03093},
  doi    = {10.48550/arXiv.2609.03093},
  url    = {https://doi.org/10.48550/arXiv.2609.03093}
}

@article{Sullivan,
  author  = {Sullivan, John M. and Morgan, Frank},
  title   = {Open problems in soap bubble geometry},
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  number  = {6},
  pages   = {833--842},
  year    = {1996},
  doi     = {10.1142/S0129167X9600044X},
  url     = {https://doi.org/10.1142/S0129167X9600044X}
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@article{Vallentin,
  author  = {Vallentin, Frank},
  title   = {A milestone for the solution to the lattice sphere covering problem in dimension {$n=6$}},
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  number  = {1},
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  year    = {2025},
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@article{Venkov1954,
  author  = {Venkov, Boris A.},
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  volume  = {9},
  number  = {2},
  pages   = {11--31},
  year    = {1954},
  note    = {In Russian}
}

@article{Weaire,
  author  = {Weaire, Denis and Phelan, Robert},
  title   = {A counter-example to {Kelvin}'s conjecture on minimal surfaces},
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  number  = {2},
  pages   = {107--110},
  year    = {1994},
  doi     = {10.1080/09500839408241577},
  url     = {https://doi.org/10.1080/09500839408241577}
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@article{Kelvin1894Homogeneous,
  author  = {Thomson, William},
  title   = {On Homogeneous Division of Space},
  journal = {Proceedings of the Royal Society of London},
  volume  = {55},
  number  = {331--335},
  pages   = {1--16},
  year    = {1894},
  doi     = {10.1098/rspl.1894.0002},
  note    = {Author also known as Lord Kelvin}
}

@article{Lewis1925FurtherStudy,
  author  = {Lewis, Frederic T.},
  title   = {A Further Study of the Polyhedral Shapes of Cells},
  journal = {Proceedings of the American Academy of Arts and Sciences},
  volume  = {61},
  number  = {1},
  pages   = {1--34},
  month   = dec,
  year    = {1925},
  doi     = {10.2307/20026130},
  note    = {With a plate on p.~36}
}

@book{Sharp1943Fundamentals,
  author    = {Sharp, Lester W.},
  title     = {Fundamentals of Cytology},
  series    = {McGraw-Hill Publications in the Botanical Sciences},
  edition   = {First},
  publisher = {McGraw-Hill Book Company, Inc.},
  address   = {New York and London},
  year      = {1943},
  lccn      = {43012422},
  note      = {The discussion of the orthic tetrakaidecahedron is on p.~74}
}

@article{Voronoi1908,
  author  = {Voronoi, Georges},
  title   = {Nouvelles applications des param{\`e}tres continus {\`a} la th{\'e}orie des formes quadratiques. {Deuxi{\`e}me} m{\'e}moire: Recherches sur les parall{\'e}llo{\`e}dres primitifs},
  journal = {Journal f{\"u}r die reine und angewandte Mathematik {\upshape (Crelle's Journal)}},
  volume  = {134},
  pages   = {198--287},
  year    = {1908},
  doi     = {10.1515/crll.1908.134.198},
  url     = {https://doi.org/10.1515/crll.1908.134.198}
}

@article{Matzke1927Analysis,
  author  = {Matzke, Edwin B.},
  title   = {An Analysis of the Orthic Tetrakaidecahedron},
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  volume  = {54},
  number  = {4},
  pages   = {341--348},
  month   = apr,
  year    = {1927},
  doi     = {10.2307/2480681}
}

@book{Thompson1942GrowthForm,
  author    = {Thompson, D'Arcy Wentworth},
  title     = {On Growth and Form: A New Edition},
  publisher = {Cambridge University Press},
  address   = {Cambridge},
  year      = {1942}
}

@article{Bravais1850Systems,
  author  = {Bravais, Auguste},
  title   = {M\'emoire sur les syst\`emes form\'es par des points distribu\'es r\'eguli\`erement sur un plan ou dans l'espace},
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  volume  = {19},
  number  = {33},
  pages   = {1--128},
  year    = {1850}
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@article{titi2019matrix,
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  year    = {2019},
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@book{polya1990mathematics,
  author    = {P{\'o}lya, George},
  title     = {Mathematics and Plausible Reasoning,
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  publisher = {Princeton University Press},
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  year      = {1990},
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@book{toth2023lagerungen,
  author    = {Fejes T{\'o}th, L{\'a}szl{\'o} and
               Fejes T{\'o}th, G{\'a}bor and Kuperberg, W{\l}odzimierz},
  title     = {Lagerungen: Arrangements in the Plane,
               on the Sphere, and in Space},
  series    = {Grundlehren der mathematischen Wissenschaften},
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  publisher = {Springer},
  address   = {Cham},
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  url       = {https://doi.org/10.1007/978-3-031-21800-2}
}

@article{Steiner1842,
  author   = {Steiner, J.},
  title    = {Sur le maximum et le minimum des figures dans le plan,
              sur la sph\`ere et dans l'espace en g\'en\'eral, {I, II}},
  journal  = {Journal f\"ur die reine und angewandte Mathematik},
  volume   = {24},
  pages    = {93--152, 189--250},
  year     = {1842},
  language = {fre},
  note     = {Part I: \url{http://eudml.org/doc/183225};
              Part II: \url{http://eudml.org/doc/183230}}
}

@unpublished{CesaroniNovaga-sep2026,
  author  = {Cesaroni, Annalisa and Novaga, Matteo},
  title={The truncated octahedron minimizes surface area among parallelohedra of equal volume},
  note={Preprint, arXiv:2609.02384},
  month=sep,
  year={2026},
  doi = {10.48550/arXiv.2609.02384},
  url={https://doi.org/10.48550/arXiv.2609.02384}
}

@article{DuvalKlivansMartin2009,
  author  = {Duval, Art M. and Klivans, Caroline J. and Martin, Jeremy L.},
  title   = {Simplicial matrix-tree theorems},
  journal = {Transactions of the American Mathematical Society},
  volume  = {361},
  number  = {11},
  pages   = {6073--6114},
  year    = {2009},
  doi     = {10.1090/S0002-9947-09-04898-3}
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@article{klee2019linear,
  title={Linear algebraic techniques for weighted spanning tree enumeration},
  author={Klee, Steven and Stamps, Matthew T.},
  journal={Linear Algebra and its Applications},
  volume={582},
  pages={391--402},
  year={2019},
  publisher={Elsevier},
  doi={10.1016/j.laa.2019.08.009}
}