\begin{thebibliography}{100}

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M.~Cicalese A.~Braides and N.K. Yip.
\newblock \newline
\newblock {Crystalline Motion of Interfaces Between Patterns.}
\newblock \newline
\newblock \emph{Journal of Statistical Physics October 2016, Volume 165, Issue 2, pp 274–319}, October 2016.
\newblock \newline
\newblock URL: \url{https://link.springer.com/article/10.1007/s10955-016-1609-6}.

\bibitem[2]{dgd-a01-2017-discrete}
S.~Sechelmann A.I.~Bobenko, U.~Bücking.
\newblock \newline
\newblock {Discrete minimal surfaces of Koebe type.}
\newblock \newline
\newblock In R.~Verge-Rebelo D.~Levi and P.~Winternitz, editors, Modern Approaches to Discrete Curvature, pages 259--291.
\newblock Springer, 2017.
\newblock \newline

\bibitem[3]{dgd-a07-2013-metric}
K.~Adiprasito and B.~Benedetti.
\newblock \newline
\newblock {Metric geometry, convexity and collapsibility.}
\newblock \newline
\newblock preprint, 2013.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1107.5789}{arXiv:1107.5789}.

\bibitem[4]{dgd-a07-2012-02}
K.~Adiprasito and B.~Benedetti.
\newblock \newline
\newblock {Subdivisions, shellability, and collapsibility of products.}
\newblock \newline
\newblock \emph{Combinatorica}, 2015.
\newblock accepted, preprint at arxiv.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1202.6606}{arXiv:1202.6606}.

\bibitem[5]{dgd-a07-2015-tight}
K.~Adiprasito and B.~Benedetti.
\newblock \newline
\newblock {Tight complexes in $3$-space admit perfect discrete Morse functions.}
\newblock \newline
\newblock \emph{Eur. J. Comb.}, 45:71–84, 2015.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1202.3390}{arXiv:1202.3390}.

\bibitem[6]{dgd-a07-2014-extremal}
K.~Adiprasito, B.~Benedetti, and F.~H. Lutz.
\newblock \newline
\newblock {Extremal examples of collapsible complexes and random discrete Morse theory.}
\newblock \newline
\newblock preprint, 2014.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1404.4239}{arXiv:1404.4239}.

\bibitem[7]{dgd-a03-2017-4-colorful}
Karim Adiprasito, Philip Brinkmann, Arnau Padrol, Pavel Paták, Zuzana Patáková, and Raman Sanyal.
\newblock \newline
\newblock {Colorful simplicial depth, Minkowski sums, and generalized Gale transforms.}
\newblock \newline
\newblock \emph{International Mathematics Research Notices}, 2017.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1607.00347}{arXiv:1607.00347}, \href{https://doi.org/10.1093/imrn/rnx184}{doi:10.1093/imrn/rnx184}.

\bibitem[8]{dgd-a03-2014-02-universality}
Karim Adiprasito and Arnau Padrol.
\newblock \newline
\newblock {The universality theorem for neighborly polytopes.}
\newblock \newline
\newblock \emph{Combinatorica}, February 2015.
\newblock accepted, preprint at arxiv.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1402.7207}{arXiv:1402.7207}.

\bibitem[9]{dgd-a03-2013-06-uni}
Karim Adiprasito and Arnau Padrol.
\newblock \newline
\newblock {A universality theorem for projectively unique polytopes and a conjecture of Shephard.}
\newblock \newline
\newblock \emph{Israel J. Math.}, 211:239--255, 2016.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1301.2960}{arXiv:1301.2960}.

\bibitem[10]{A03-AdiprasitoPadrolTheran}
Karim Adiprasito, Arnau Padrol, and Louis Theran.
\newblock \newline
\newblock {Universality theorems for inscribed polytopes and Delaunay triangulations.}
\newblock \newline
\newblock \emph{Discrete Comput. Geom.}, 54:412--431, 2015.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1406.7831}{arXiv:1406.7831}.

\bibitem[11]{dgd-a03-2014-05}
Karim Adiprasito and Raman Sanyal.
\newblock \newline
\newblock {Relative Stanley-Reisner theory and Upper Bound Theorems for Minkowski sums.}
\newblock \newline
\newblock \emph{Publ. Math. Inst. Hautes Études Sci.}, 124:99–163, 2016.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1405.7368}{arXiv:1405.7368}, \href{https://doi.org/10.1007/s10240-016-0083-7}{doi:10.1007/s10240-016-0083-7}.

\bibitem[12]{dgd-a03-2017-4-whitney}
Karim Adiprasito and Raman Sanyal.
\newblock \newline
\newblock {Whitney numbers of arrangements via measure concentration of intrinsic volumes.}
\newblock \newline
\newblock Preprint, 2016.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1606.09412}{arXiv:1606.09412}.

\bibitem[13]{dgd-a07-2013-03-hirsch}
Karim~Alexander Adiprasito and Bruno Benedetti.
\newblock \newline
\newblock {The Hirsch conjecture holds for normal flag complexes.}
\newblock \newline
\newblock preprint, revised April 2013, March 2013.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1303.3598}{arXiv:1303.3598}.

\bibitem[14]{dgd-a01-2021-08-cross_ratio}
Niklas Affolter, Terrence George, and Sanjay Ramassamy.
\newblock \newline
\newblock {Cross-ratio dynamics and the dimer cluster integrable system.}
\newblock \newline
\newblock preprint, August 2021.
\newblock \newline
\newblock \href{https://arxiv.org/abs/2108.12692}{arXiv:2108.12692}.

\bibitem[15]{dgd-a01-2019-08-vector}
Niklas Affolter, Max Glick, Pavlo Pylyavskyy, and Sanjay Ramassamy.
\newblock \newline
\newblock {Vector-relation configurations and plabic graphs.}
\newblock \newline
\newblock \emph{Selecta Mathematica}, August 2019.
\newblock \newline
\newblock URL: \url{https://link.springer.com/article/10.1007/s00029-023-00898-z}, \href{https://arxiv.org/abs/1908.06959}{arXiv:1908.06959}.

\bibitem[16]{dgd-a01-2018-08-Miquel}
Niklas~C Affolter.
\newblock \newline
\newblock {Miquel Dynamics, Clifford Lattices and the Dimer Model.}
\newblock \newline
\newblock \emph{Letters in Mathematical Physics}, August 2018.
\newblock \newline
\newblock URL: \url{https://link.springer.com/article/10.1007/s11005-021-01406-0}, \href{https://arxiv.org/abs/1808.04227}{arXiv:1808.04227}.

\bibitem[17]{dgd-a01-2023-12-invariant-y-systems}
Niklas~C Affolter.
\newblock \newline
\newblock {Möbius invariant Y-systems (cluster structures) for Miquel dynamics.}
\newblock \newline
\newblock preprint, December 2023.
\newblock \newline
\newblock \href{https://arxiv.org/abs/2312.07367}{arXiv:2312.07367}.

\bibitem[18]{dgd-a01-2023-affolter-thesis}
Niklas~C. Affolter.
\newblock \newline
\newblock {Discrete differential geometry and cluster algebras via TCD maps.}
\newblock \newline
\newblock Dissertation, TU Berlin, March 2023.
\newblock \newline
\newblock \href{https://arxiv.org/abs/2305.02212}{arXiv:2305.02212}, \href{https://doi.org/10.14279/depositonce-17600}{doi:10.14279/depositonce-17600}.

\bibitem[19]{dgd-a01-2022-07-schwarzian_octahedron-I}
Niklas~Christoph Affolter, Béatrice de~Tilière, and Paul Melotti.
\newblock \newline
\newblock {The Schwarzian octahedron recurrence (dSKP equation) I: explicit solutions.}
\newblock \newline
\newblock \emph{Combinatoral Theory}, July 2022.
\newblock \newline
\newblock URL: \url{https://escholarship.org/uc/item/2jq67049}, \href{https://arxiv.org/abs/2208.00239}{arXiv:2208.00239}.

\bibitem[20]{dgd-a01-2022-07-schwarzian_octahedron-II}
Niklas~Christoph Affolter, Béatrice de~Tilière, and Paul Melotti.
\newblock \newline
\newblock {The Schwarzian octahedron recurrence (dSKP equation) II: geometric systems.}
\newblock \newline
\newblock preprint, July 2022.
\newblock \newline
\newblock \href{https://arxiv.org/abs/2208.00244}{arXiv:2208.00244}.

\bibitem[21]{dgd-a00-2019-12-confocal}
Sergey~I. Agafonov.
\newblock \newline
\newblock {Confocal conics and 4-webs of maximal rank.}
\newblock \newline
\newblock preprint, December 2019.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1912.01817}{arXiv:1912.01817}.

\bibitem[22]{akopyan2018incircular}
Arseniy Akopyan and Alexander Bobenko.
\newblock \newline
\newblock {Incircular nets and confocal conics.}
\newblock \newline
\newblock \emph{Transactions of the American Mathematical Society}, 370(4):2825–2854, 2018.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1602.04637}{arXiv:1602.04637}, \href{https://doi.org/10.1090/tran/7292}{doi:10.1090/tran/7292}.

\bibitem[23]{dgd-a02-2019-08-mutually}
Arseniy~V. Akopyan, Alexander~I. Bobenko, Wolfgang~K. Schief, and Jan Techter.
\newblock \newline
\newblock {On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs.}
\newblock \newline
\newblock \emph{Discrete and Computational Geometry}, August 2020.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1908.00856}{arXiv:1908.00856}, \href{https://doi.org/10.1007/s00454-020-00240-w}{doi:10.1007/s00454-020-00240-w}.

\bibitem[24]{dgd-b11-2011-variational}
Roberto Alicandro, Marco Cicalese, and Marcello Ponsiglione.
\newblock \newline
\newblock {Variational equivalence between Ginzburg-Landau, $XY$ spin systems and screw dislocation energies.}
\newblock \newline
\newblock \emph{Indiana Univ. Math. J.}, 60(1):171--208, 2011.
\newblock \newline
\newblock URL: \url{https://www.jstor.org/stable/24903417?seq=1#metadata_info_tab_contents}.

\bibitem[25]{dgd-b08-2015-domain}
Roberto Alicandro, Marco Cicalese, and Matthias Ruf.
\newblock \newline
\newblock {Domain formation in magnetic polymer composites: an approach via stochastic homogenization.}
\newblock \newline
\newblock \emph{Archive for Rational Mechanics and Analysis}, 218(2):945–984, 2015.
\newblock \newline
\newblock \href{https://doi.org/10.1007/s00205-015-0873-y}{doi:10.1007/s00205-015-0873-y}.

\bibitem[26]{dgd-a11-2015-tropicalizing}
Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert, and Michael Joswig.
\newblock \newline
\newblock {Tropicalizing the simplex algorithm.}
\newblock \newline
\newblock \emph{SIAM Journal on Discrete Mathematics}, 29(2):751–795, 2015.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1308.0454}{arXiv:1308.0454}, \href{https://doi.org/10.1137/130936464}{doi:10.1137/130936464}.

\bibitem[27]{dgd-a11-2018-log-barrier}
Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert, and Michael Joswig.
\newblock \newline
\newblock {Log-barrier interior point methods are not strongly polynomial.}
\newblock \newline
\newblock \emph{SIAM J. Appl. Algebra Geom.}, 2(1):140--178, 2018.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1708.01544}{arXiv:1708.01544}, \href{https://doi.org/10.1137/17M1142132}{doi:10.1137/17M1142132}.

\bibitem[28]{dgd-c03-2021-dimension}
Stefano Almi, Sandro Belz, Stefano Micheletti, and Simona Perotto.
\newblock \newline
\newblock {A dimension-reduction model for brittle fractures on thin shells with mesh adaptivity.}
\newblock \newline
\newblock \emph{Mathematical Models and Methods in Applied Sciences}, 31(01):37–81, 2021.
\newblock \newline
\newblock \href{https://arxiv.org/abs/2004.08871}{arXiv:2004.08871}, \href{https://doi.org/10.1142/S0218202521500020}{doi:10.1142/S0218202521500020}.

\bibitem[29]{dgd-c03-2018-08-Energy}
Stefano Almi and Ilaria Lucardesi.
\newblock \newline
\newblock {Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks.}
\newblock \newline
\newblock \emph{Nonlinear Differ. Equ. Appl. (2018) 25: 43.}, August 2018.
\newblock \newline
\newblock \href{https://doi.org/10.1007/s00030-018-0536-4}{doi:10.1007/s00030-018-0536-4}.

\bibitem[30]{dgd-c09-2023-08-neural-poisson}
Hector Andrade-Loarca, Julius Hege, Daniel Cremers, and Gitta Kutyniok.
\newblock \newline
\newblock {Neural Poisson Surface Reconstruction: Resolution-Agnostic Shape Reconstruction from Point Clouds.}
\newblock \newline
\newblock preprint, August 2023.
\newblock \newline
\newblock \href{https://arxiv.org/abs/arXiv:2308.01766}{arXiv:arXiv:2308.01766}.

\bibitem[31]{dgd-c09-2019-01-extraction}
Héctor Andrade-Loarca, Gitta Kutyniok, Ozan Öktem, and Philipp Petersen.
\newblock \newline
\newblock {Extraction of Digital Wavefront Sets using Applied Harmonic Analysis and Deep Neural Networks.}
\newblock \newline
\newblock preprint, January 2019.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1901.01388}{arXiv:1901.01388}.

\bibitem[32]{dgd-c09-2022-01-deep-microlocal}
Héctor Andrade-Loarca, Gitta Kutyniok, Ozan Öktem, and Philipp Petersen.
\newblock \newline
\newblock {Deep microlocal reconstruction for limited-angle tomography.}
\newblock \newline
\newblock \emph{Applied and Computational Harmonic Analysis}, January 2022.
\newblock \newline
\newblock URL: \url{https://www.sciencedirect.com/science/article/pii/S1063520321001081}.

\bibitem[33]{dgd-b09-2016-computing}
Oliver~Junge Andres~Denner and Daniel Matthes.
\newblock \newline
\newblock {Computing coherent sets using the Fokker-Planck equation.}
\newblock \newline
\newblock \emph{Journal of Computational Dynamics, 2016, Vol. 3, Issue 2}, 2016.
\newblock \newline
\newblock \href{https://doi.org/10.3934/jcd.2016008}{doi:10.3934/jcd.2016008}.

\bibitem[34]{dgd-b10-2019-08-Discretized}
L.~Arcidiacono, M.~Engel, and C.~Kuehn.
\newblock \newline
\newblock {Discretized fast-slow systems near pitchfork singularities.}
\newblock \newline
\newblock \emph{Journal of Difference Equations and Applications, Vol. 25, No. 7, pp. 1024-1051}, August 2019.
\newblock \newline
\newblock \href{https://doi.org/10.1080/10236198.2019.1647185}{doi:10.1080/10236198.2019.1647185}.

\bibitem[35]{dgd-a11-2017-computing}
Benjamin Assarf, Ewgenij Gawrilow, Katrin Herr, Michael Joswig, Benjamin Lorenz, Andreas Paffenholz, and Thomas Rehn.
\newblock \newline
\newblock {Computing convex hulls and counting integer points with $\texttt {polymake}$.}
\newblock \newline
\newblock \emph{Math. Program. Comput.}, 9(1):1--38, 2017.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1408.4653v2}{arXiv:1408.4653v2}, \href{https://doi.org/10.1007/s12532-016-0104-z}{doi:10.1007/s12532-016-0104-z}.

\bibitem[36]{dgd-a11-2018-webs}
Benjamin Assarf, Michael Joswig, and Julian Pfeifle.
\newblock \newline
\newblock {Webs of stars or how to triangulate free sums of point configurations.}
\newblock \newline
\newblock \emph{J. Combin. Theory Ser. A}, 159:183–214, 2018.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1512.08411}{arXiv:1512.08411}, \href{https://doi.org/10.1016/j.jcta.2018.05.007}{doi:10.1016/j.jcta.2018.05.007}.

\bibitem[37]{dgd-a07-2014-config}
Dror Atariah.
\newblock \newline
\newblock {Parameterizations in the Configuration Space and Approximations of Related Surfaces.}
\newblock \newline
\newblock Dissertation, Freie Universität Berlin, 2014.
\newblock \newline
\newblock URL: \url{http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000096803}.

\bibitem[38]{dgd-a07-2015-saddle}
Dror Atariah, Günter Rote, and Mathijs Wintraecken.
\newblock \newline
\newblock {Optimal Triangulation of saddle surfaces.}
\newblock \newline
\newblock \emph{Beiträge zur Algebra und Geometrie}, 59(1):113–126, 2018.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1511.01361}{arXiv:1511.01361}, \href{https://doi.org/10.1007/s13366-017-0351-9}{doi:10.1007/s13366-017-0351-9}.

\bibitem[39]{dgd-c04-2015-09-homological}
Dominique Attali, Ulrich Bauer, Olivier Devillers, Marc Glisse, and André Lieutier.
\newblock \newline
\newblock {Homological reconstruction and simplification in $\mathbb R^3$.}
\newblock \newline
\newblock \emph{Computational Geometry}, 48(8):606–621, September 2015.
\newblock \newline
\newblock \href{https://doi.org/10.1016/j.comgeo.2014.08.010}{doi:10.1016/j.comgeo.2014.08.010}.

\bibitem[40]{dgd-b08-2013-phd}
Yuen Au~Yeung.
\newblock \newline
\newblock {Crystalline Order, Surface Energy Densities and Wulff Shapes: Emergence from Atomistic Models.}
\newblock \newline
\newblock Dissertation, Technische Universität München, München, 2013.
\newblock \newline
\newblock URL: \url{http://mediatum.ub.tum.de/node?id=1142127}.

\bibitem[41]{dgd-cap-2018-creation}
C.~Wagner B.~Violet and E.~Eremenko.
\newblock \newline
\newblock {Math Creation- A Math-Art Competition.}
\newblock \newline
\newblock In David Swart, Carlo~H. Séquin, and Kristóf Fenyvesi, editors, Proceedings of Bridges 2017, 355–358. Phoenix, Arizona, 2018. Tessellations Publishing.
\newblock \newline
\newblock URL: \url{https://archive.bridgesmathart.org/2017/bridges2017-355.pdf}.

\bibitem[42]{dgd-b08-2019-02-random}
A.~Bach, M.~Cicalese, and M.~Ruf.
\newblock \newline
\newblock {Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size.}
\newblock \newline
\newblock preprint, February 2019.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1902.08437}{arXiv:1902.08437}.

\bibitem[43]{dgd-a03-2018-09-cone}
Spencer Backman, Sebastian Manecke, and Raman Sanyal.
\newblock \newline
\newblock {Cone valuations, Gram's relation, and flag-angles.}
\newblock \newline
\newblock Preprint, September 2018.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1809.00956}{arXiv:1809.00956}.

\bibitem[44]{dgd-b11-2018-03-Gamma}
Rufat Badal, Marco Cicalese, Lucia De~Luca, and Marcello Ponsiglione.
\newblock \newline
\newblock {Γ-Convergence Analysis of a Generalized $XY$ Model: Fractional Vortices and String Defects.}
\newblock \newline
\newblock \emph{Communications in Mathematical Physics}, 358(2):705–739, March 2018.
\newblock \newline
\newblock \href{https://doi.org/10.1007/s00220-017-3026-3}{doi:10.1007/s00220-017-3026-3}.

\bibitem[45]{dgd-c01-2018-form}
Changyeob Baek, Andrew~O. Sageman-Furnas, Mohammad~K. Jawed, and Pedro~M. Reis.
\newblock \newline
\newblock {Form finding in elastic gridshells.}
\newblock \newline
\newblock \emph{Proceedings of the National Academy of Sciences}, 115(1):75–80, 2018.
\newblock \newline
\newblock URL: \url{https://www.pnas.org/content/115/1/75}, \href{https://doi.org/10.1073/pnas.1713841115}{doi:10.1073/pnas.1713841115}.

\bibitem[46]{dgd-a03-2018-07-Index_of_Grassmann}
Djordje Baralić, Pavle V.~M. Blagojević, Roman Karasev, and Aleksandar Vučić.
\newblock \newline
\newblock {Index of Grassmann manifolds and orthogonal shadows.}
\newblock \newline
\newblock \emph{Forum Mathematicum}, 30(6):1539–1572, July 2018.
\newblock \newline
\newblock \href{https://doi.org/10.1007/s00454-018-0006-0}{doi:10.1007/s00454-018-0006-0}.

\bibitem[47]{dgd-b12-2019-08-ripser}
Ulrich Bauer.
\newblock \newline
\newblock {Ripser: efficient computation of Vietoris-Rips persistence barcodes.}
\newblock \newline
\newblock preprint, August 2019.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1908.02518}{arXiv:1908.02518}.

\bibitem[48]{dgd-c04-2019-04-cotorsion}
Ulrich Bauer, Magnus~B. Botnan, Steffen Oppermann, and Johan Steen.
\newblock \newline
\newblock {Cotorsion torsion triples and the representation theory of filtered hierarchical clustering.}
\newblock \newline
\newblock preprint, April 2019.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1904.07322}{arXiv:1904.07322}.

\bibitem[49]{dgd-c04-2014-morse}
Ulrich Bauer and Herbert Edelsbrunner.
\newblock \newline
\newblock {The Morse Theory of Cech and Delaunay Filtrations.}
\newblock \newline
\newblock In Proceedings of the Thirtieth Annual Symposium on Computational Geometry, SOCG'14. New York, NY, USA, 2014. ACM.
\newblock \newline
\newblock \href{https://doi.org/10.1145/2582112.2582167}{doi:10.1145/2582112.2582167}.

\bibitem[50]{dgd-c04-2017-morse}
Ulrich Bauer and Herbert Edelsbrunner.
\newblock \newline
\newblock {The Morse theory of Čech and Delaunay complexes.}
\newblock \newline
\newblock \emph{Transactions of the American Mathematical Society}, 369(5):3741–3762, 2017.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1312.1231}{arXiv:1312.1231}, \href{https://doi.org/10.1090/tran/6991}{doi:10.1090/tran/6991}.

\bibitem[51]{dgd-c04-2017-9-persistence}
Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jablonski, and Marian Mrozek.
\newblock \newline
\newblock {Persistence in sampled dynamical systems faster.}
\newblock \newline
\newblock Preprint, September 2017.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1709.04068}{arXiv:1709.04068}.

\bibitem[52]{dgd-b12-2017-phat}
Ulrich Bauer, Michael Kerber, Jan Reininghaus, and Hubert Wagner.
\newblock \newline
\newblock {Phat-persistent homology algorithms toolbox.}
\newblock \newline
\newblock \emph{J. Symbolic Comput.}, 78:76–90, 2017.
\newblock \newline
\newblock URL: \url{http://bitbucket.org/phat-code/}, \href{https://doi.org/10.1016/j.jsc.2016.03.008}{doi:10.1016/j.jsc.2016.03.008}.

\bibitem[53]{dgd-c04-2018-01-reeb}
Ulrich Bauer, Claudia Landi, and Facundo Memoli.
\newblock \newline
\newblock {The Reeb Graph Edit Distance is Universal.}
\newblock \newline
\newblock \emph{preprint}, January 2018.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1801.01866}{arXiv:1801.01866}.

\bibitem[54]{dgd-c04-2015}
Ulrich Bauer and Michael Lesnick.
\newblock \newline
\newblock {Induced matchings and the algebraic stability of persistence barcodes.}
\newblock \newline
\newblock \emph{Journal of Computational Geometry}, 6(2):162–191, 2015.
\newblock \newline
\newblock URL: \url{http://jocg.org/index.php/jocg/article/view/205}.

\bibitem[55]{dgd-c04-2017-11-persistence}
Ulrich Bauer and Michael Lesnick.
\newblock \newline
\newblock {Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem.}
\newblock \newline
\newblock Preprint, November 2016.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1610.10085}{arXiv:1610.10085}.

\bibitem[56]{dgd-c04-2018-01-Betti}
Ulrich Bauer and Florian Pausinger.
\newblock \newline
\newblock {Persistent Betti numbers of random Čech complexes.}
\newblock \newline
\newblock \emph{preprint}, January 2018.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1801.08376}{arXiv:1801.08376}.

\bibitem[57]{dgd-c05-2010-uniform}
Ulrich Bauer, Konrad Polthier, and Max Wardetzky.
\newblock \newline
\newblock {Uniform Convergence of Discrete Curvatures from Nets of Curvature Lines.}
\newblock \newline
\newblock \emph{Discrete and Computational Geometry}, 43(4):798–823, 2010.
\newblock \newline
\newblock URL: \url{http://www.springerlink.com/content/84210067816n0m78/}, \href{https://arxiv.org/abs/0901.2822}{arXiv:0901.2822}.

\bibitem[58]{dgd-c04-2019-Hardness}
Ulrich Bauer and Abhishek Rathod.
\newblock \newline
\newblock {Hardness of Approximation for Morse Matching.}
\newblock \newline
\newblock In Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms, 2663–2674. SIAM, Philadelphia, PA, 2019.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1801.08380}{arXiv:1801.08380}, \href{https://doi.org/10.1137/1.9781611975482.165}{doi:10.1137/1.9781611975482.165}.

\bibitem[59]{dgd-b06-2014-06}
Andrey~K. Belyaev, Caroline Lasser, and Giulio Trigila.
\newblock \newline
\newblock {Landau–Zener type surface hopping algorithms.}
\newblock \newline
\newblock \emph{The Journal of Chemical Physics}, 140(22):--, June 2014.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1403.4859}{arXiv:1403.4859}, \href{https://doi.org/10.1063/1.4882073}{doi:10.1063/1.4882073}.

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B.~Benedetti.
\newblock \newline
\newblock {Smoothing discrete Morse theory.}
\newblock \newline
\newblock \emph{Annali Sc. Norm. Sup. Cl. Sci.}, 2015.
\newblock accepted, preprint at arxiv.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1212.0885}{arXiv:1212.0885}.

\bibitem[61]{dgd-a07-2013-03}
B.~Benedetti and F.~H. Lutz.
\newblock \newline
\newblock {Random discrete Morse theory and a new library of triangulations.}
\newblock \newline
\newblock \emph{Experimental Mathematics}, 23(1):66--94, 2014.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1303.6422}{arXiv:1303.6422}.

\bibitem[62]{dgd-a07-2013-08}
Bruno Benedetti and Frank~H. Lutz.
\newblock \newline
\newblock {Knots in Collapsible and Non-Collapsible Balls.}
\newblock \newline
\newblock \emph{Electronic Journal of Combinatorics}, August 2013.
\newblock Paper P31, 29 pages.
\newblock \newline
\newblock URL: \url{http://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i3p31}, \href{https://arxiv.org/abs/1303.2070}{arXiv:1303.2070}.

\bibitem[63]{dgd-c02-2019-unlimited}
Ayush Bhandari, Felix Krahmer, and Ramesh Raskar.
\newblock \newline
\newblock {On Unlimited Sampling and Reconstruction.}
\newblock \newline
\newblock Preprint, 2019.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1905.03901}{arXiv:1905.03901}.

\bibitem[64]{dgd-b02-2014-02}
R.F. Bikbaev, A.I. Bobenko, and A.R. Its.
\newblock \newline
\newblock {Landau-Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions.}
\newblock \newline
\newblock \emph{Theoretical and Mathematical Physics}, 178(2):143--193, February 2014.
\newblock \newline
\newblock \href{https://doi.org/10.1007/s11232-014-0135-4}{doi:10.1007/s11232-014-0135-4}.

\bibitem[65]{dgd-c04-2018-05-computational}
Havard~Bakke Bjerkevik and Magnus~Bakke Botnan.
\newblock \newline
\newblock {Computational Complexity of the Interleaving Distance.}
\newblock \newline
\newblock \emph{Proceedings of the 34th International Symposium on Computational Geometry (SoCG 2018)}, May 2018.
\newblock \newline
\newblock \href{https://doi.org/10.4230/LIPIcs.SoCG.2018.13}{doi:10.4230/LIPIcs.SoCG.2018.13}.

\bibitem[66]{dgd-c04-2018-computings}
Håvard~Bakke Bjerkevik, Magnus~Bakke Botnan, and Michael Kerber.
\newblock \newline
\newblock {Computing the interleaving distance is NP-hard.}
\newblock \newline
\newblock preprint, 2018.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1811.09165}{arXiv:1811.09165}.

\bibitem[67]{dgd-a03-2015-09-hyperplane}
Pavle V.~M. Blagojevic, Florian Frick, Albert Haase, and Günter~M. Ziegler.
\newblock \newline
\newblock {Hyperplane mass partitions via relative Equivariant Obstruction Theory.}
\newblock \newline
\newblock preprint, September 2015.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1509.02959}{arXiv:1509.02959}.

\bibitem[68]{dgd-a03-2014-tv}
Pavle V.~M. Blagojevic, Florian Frick, Benjamin Matschke, and Günter~M. Ziegler.
\newblock \newline
\newblock {Tight and non-tight topological Tverberg type theorems.}
\newblock \newline
\newblock \emph{Oberwolfach Reports}, 11(3):2284--2287, 2014.
\newblock \newline
\newblock \href{https://www.discretization.de/publications/file/67}{dgd:67}.

\bibitem[69]{dgd-a03-2014-06-tverberg}
Pavle V.~M. Blagojevic, Florian Frick, and Günter~M. Ziegler.
\newblock \newline
\newblock {Tverberg plus constraints.}
\newblock \newline
\newblock \emph{Bulletin of the London Mathematical Society}, 46:953--967, 2014.
\newblock Extended Abstract: Oberwolfach Reports, 11(1):14-16, 2014.
\newblock \newline
\newblock URL: \url{http://blms.oxfordjournals.org/cgi/content/abstract/bdu049?ijkey=s0zAd5sXaMm0aIt}, \href{https://arxiv.org/abs/1401.0690}{arXiv:1401.0690}, \href{https://doi.org/10.1112/blms/bdu049}{doi:10.1112/blms/bdu049}.

\bibitem[70]{dgd-a03-2013-05}
Pavle V.~M. Blagojevic, Wolfgang Lück, and Günter~M. Ziegler.
\newblock \newline
\newblock {On highly regular embeddings.}
\newblock \newline
\newblock Preprint, 19 pages; Transactions Amer. Math. Soc. to appear, Extended Abstract: in Proc. "Combinatorial Methods in Topology and Algebra” (CoMeTa), Cortona, May 2013.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1305.7483}{arXiv:1305.7483}, \href{https://www.discretization.de/publications/file/65}{dgd:65}.

\bibitem[71]{dgd-a03-2016-3-topological}
Pavle V.~M. Blagojević, Aleksandra S.~Dimitrijević Blagojević, and Günter~M. Ziegler.
\newblock \newline
\newblock {The topological transversal Tverberg theorem plus constraints.}
\newblock \newline
\newblock Preprint, "Discrete and Intuitive Geometry – László Fejes Tóth 100 Festschrift" (G. Ambrus, I. Bárány, K. J. Böröczky, G. Fejes Tóth, J. Pach, eds.), Bolyai Society Mathematical Studies series, to appear, march 2016.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1604.02814}{arXiv:1604.02814}.

\bibitem[72]{dgd-a03-2016-polynomial-partitioning}
Pavle V.~M. Blagojević, Aleksandra S.~Dimitrijević Blagojević, and Günter~M. Ziegler.
\newblock \newline
\newblock {Polynomial partitioning for several sets of varieties.}
\newblock \newline
\newblock \emph{J. Fixed Point Theory Appl.}, 19:1653–1660, 2017.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1601.01629}{arXiv:1601.01629}.

\bibitem[73]{dgd-a03-2016-hyperplane-mass}
Pavle V.~M. Blagojević, Florian Frick, Albert Haase, and Günter~M. Ziegler.
\newblock \newline
\newblock {Hyperplane mass partitions via relative equivariant obstruction theory.}
\newblock \newline
\newblock \emph{Documenta Mathematica}, 21:735–771, 2016.
\newblock \newline
\newblock URL: \url{http://emis.ams.org/journals/DMJDMV/vol-21/20.pdf}, \href{https://arxiv.org/abs/1509.02959}{arXiv:1509.02959}.

\bibitem[74]{dgd-a03-2017-Tverberg}
Pavle V.~M. Blagojević, Albert Haase, and Günter~M. Ziegler.
\newblock \newline
\newblock {Tverberg-type theorems for matroids: A counterexample and a proof.}
\newblock \newline
\newblock Preprint, 2017.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1705.03624}{arXiv:1705.03624}.

\bibitem[75]{dgd-a03-2019-02-Tverberg}
Pavle V.~M. Blagojević, Albert Haase, and Günter~M. Ziegler.
\newblock \newline
\newblock {Tverberg-Type Theorems for Matroids: A Counterexample and a Proof.}
\newblock \newline
\newblock \emph{Combinatorica}, February 2019.
\newblock \newline
\newblock \href{https://doi.org/10.1007/s00493-018-3846-6}{doi:10.1007/s00493-018-3846-6}.

\bibitem[76]{dgd-a03-2017-10-cutting}
Pavle V.~M. Blagojević, Nevena Palić, and Günter~M. Ziegler.
\newblock \newline
\newblock {Cutting a part from many measures.}
\newblock \newline
\newblock Preprint, 15 pages, October 2017.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1710.05118}{arXiv:1710.05118}.

\bibitem[77]{dgd-a03-2017-convex-equipartitions}
Pavle V.~M. Blagojević, Günter Rote, Johanna Steinmeyer, and Günter~M. Ziegler.
\newblock \newline
\newblock {Convex equipartitions of colored point sets.}
\newblock \newline
\newblock \emph{Discrete Comput. Geometry}, December 2017.
\newblock Published online.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1705.03953}{arXiv:1705.03953}.

\bibitem[78]{dgd-a03-2019-03-Convex_Equipartitions}
Pavle V.~M. Blagojević, Günter Rote, Johanna~K. Steinmeyer, and Günter~M. Ziegler.
\newblock \newline
\newblock {Convex Equipartitions of Colored Point Sets.}
\newblock \newline
\newblock \emph{Discrete \& Computational Geometry}, 61(2):355–363, March 2019.
\newblock \newline
\newblock \href{https://doi.org/10.1007/s00454-017-9959-7}{doi:10.1007/s00454-017-9959-7}.

\bibitem[79]{dgd-a03-2017-09-Thieves_can_make_sandwiches}
Pavle V.~M. Blagojević and Pablo Soberón.
\newblock \newline
\newblock {Thieves can make sandwiches.}
\newblock \newline
\newblock preprint, September 2017.
\newblock \newline
\newblock \href{https://arxiv.org/abs/arXiv:1706.03640}{arXiv:arXiv:1706.03640}, \href{https://doi.org/10.1112/blms.12109}{doi:10.1112/blms.12109}.

\bibitem[80]{dgd-a03-2017-journey}
Pavle V.~M. Blagojević and Günter~M. Ziegler.
\newblock \newline
\newblock {Beyond the Borsuk-Ulam Theorem: The Topological Tverberg Story.}
\newblock \newline
\newblock In Martin Loebl, Jaroslav Nešetřil, and Robin Thomas, editors, Journey Through Discrete Mathematics. A Tribute to Jiří Matoušek, pages 273–341.
\newblock Springer, May 2017.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1605.07321}{arXiv:1605.07321}, \href{https://doi.org/10.1007/978-3-319-44479-6_11}{doi:10.1007/978-3-319-44479-6\_11}.

\bibitem[81]{dgd-a02-combinatorics}
A.~Bobenko, T.~Hoffmann, and B.~Springborn.
\newblock \newline
\newblock {Minimal surfaces from circle patterns: Geometry from combinatorics.}
\newblock \newline
\newblock \emph{Ann. of Math.}, 164(1):231–264, 2006.
\newblock \newline
\newblock \href{https://arxiv.org/abs/0305184}{arXiv:0305184}.

\bibitem[82]{dgd-a05-1999-physics}
A.~Bobenko and U.~Pinkall.
\newblock \newline
\newblock {Discretization of surfaces and integrable systems.}
\newblock \newline
\newblock In Discrete integrable geometry and physics, volume~16 of Oxford Lecture Ser. Math. Appl., pages 3--58.
\newblock Oxford Univ. Press, 1999.
\newblock \newline
\newblock URL: \url{http://page.math.tu-berlin.de/~bobenko/papers/1999_Bob_Pin.pdf}.

\bibitem[83]{dgd-a01-2015-11-uniformization}
A.~I. Bobenko, N.~Dimitrov, and S.~Sechelmann.
\newblock \newline
\newblock {Discrete uniformization of finite branched covers over the Riemann sphere via hyper-ideal circle patterns.}
\newblock \newline
\newblock preprint, 2015.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1510.04053}{arXiv:1510.04053}.

\bibitem[84]{dgd-a01-2016-complex-analysis}
A.~I. Bobenko and F.~Günther.
\newblock \newline
\newblock {Discrete complex analysis on planar quad-graphs.}
\newblock \newline
\newblock In A.~I. Bobenko, editor, Advances in Discrete Differential Geometry.
\newblock Springer, 2016.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1505.05673}{arXiv:1505.05673}.

\bibitem[85]{dgd-a02-2016-s-conical}
A.~I. Bobenko and T.~Hoffmann.
\newblock \newline
\newblock {S-conical cmc surfaces. Towards a unified theory of discrete surfaces with constant mean curvature.}
\newblock \newline
\newblock In A.~I. Bobenko, editor, Advances in Discrete Differential Geometry.
\newblock Springer, 2016.
\newblock \newline
\newblock \href{https://www.discretization.de/publications/file/198}{dgd:198}.

\bibitem[86]{A02-BHKS}
A.~I. Bobenko, T.~Hoffmann, B.~König, and S.~Sechelmann.
\newblock \newline
\newblock {S-conical minimal surfaces. Towards a unified theory of discrete minimal surfaces.}
\newblock \newline
\newblock Preprint, 2015.
\newblock \newline
\newblock \href{https://www.discretization.de/publications/file/199}{dgd:199}.

\bibitem[87]{dgd-a01-2014-09-asymptotic}
A.~I. Bobenko and A.~Its.
\newblock \newline
\newblock {The asymptotic behaviour of the discrete holomorphic map $Z^a$ via the Riemann-Hilbert method.}
\newblock \newline
\newblock \emph{Duke Math. J.}, 2015.
\newblock accepted.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1409.2667}{arXiv:1409.2667}.

\bibitem[88]{dgd-a11-2015-ideal}
A.~I. Bobenko, U.~Pinkall, and B.~Springborn.
\newblock \newline
\newblock {Discrete conformal maps and ideal hyperbolic polyhedra.}
\newblock \newline
\newblock \emph{Geom. Topol.}, 19:2155--2215, 2015.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1005.2698}{arXiv:1005.2698}, \href{https://doi.org/10.2140/gt.2015.19.2155}{doi:10.2140/gt.2015.19.2155}.

\bibitem[89]{dgd-b02-2014-10}
A.~I. Bobenko and W.~Schief.
\newblock \newline
\newblock {Discrete line complexes and integrable evolution of minors.}
\newblock \newline
\newblock \emph{Proc. Royal Soc. A}, 471(2175):23 pp., 2015.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1410.5794}{arXiv:1410.5794}, \href{https://doi.org/10.1098/rspa.2014.0819}{doi:10.1098/rspa.2014.0819}.

\bibitem[90]{dgd-a01-2016-maps}
A.~I. Bobenko, S.~Sechelmann, and B.~Springborn.
\newblock \newline
\newblock {Discrete conformal maps: Boundary value problems, circle domains, Fuchsian and Schottky uniformization.}
\newblock \newline
\newblock In A.~I. Bobenko, editor, Advances in Discrete Differential Geometry.
\newblock Springer, 2016.
\newblock \newline
\newblock \href{https://www.discretization.de/publications/file/194}{dgd:194}.

\bibitem[91]{dgd-b02-2014-03}
A.~I. Bobenko and Yu.~B. Suris.
\newblock \newline
\newblock {Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems.}
\newblock \newline
\newblock \emph{Commun. Math. Phys.}, 336(1):199–215, 2015.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1403.2876}{arXiv:1403.2876}.

\bibitem[92]{dgd-a01-2013-12}
A.I. Bobenko and B.~Springborn.
\newblock \newline
\newblock {Diskretisierung in Geometrie und Dynamik - Elastische Stäbe und Rauchringe.}
\newblock \newline
\newblock \emph{Mitteilungen der DMV}, 21(1):218--224, December 2013.
\newblock \newline
\newblock URL: \url{http://www.degruyter.com/view/j/dmvm.2013.21.issue-00004/issue-files/dmvm.2013.21.issue-00004.xml}.

\bibitem[93]{dgd-a01-2014-08}
Alexander Bobenko and Mikhail Skopenkov.
\newblock \newline
\newblock {Discrete Riemann surfaces: linear discretization and its convergence.}
\newblock \newline
\newblock \emph{J. reine und angew. Math.}, October 2014.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1210.0561}{arXiv:1210.0561}, \href{https://doi.org/10.1515/crelle-2014-0065}{doi:10.1515/crelle-2014-0065}.

\bibitem[94]{dgd-b02-2019-integrable}
Alexander Bobenko and Yuri Suris.
\newblock \newline
\newblock {Integrable linear systems on quad-graphs.}
\newblock \newline
\newblock preprint, 2019.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1911.03252}{arXiv:1911.03252}.

\bibitem[95]{dgd-a01-2018-09-convergence}
Alexander~I Bobenko and Ulrike Bücking.
\newblock \newline
\newblock {Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere.}
\newblock \newline
\newblock \emph{Preprint at arXiv}, September 2018.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1809.04847}{arXiv:1809.04847}.

\bibitem[96]{dgd-a01-2017-discrete-uniformization}
Alexander~I Bobenko, Nikolay Dimitrov, and Stefan Sechelmann.
\newblock \newline
\newblock {Discrete Uniformization of Polyhedral Surfaces with Non-positive Curvature and Branched Covers over the Sphere via Hyper-ideal Circle Patterns.}
\newblock \newline
\newblock \emph{Discrete \& Computational Geometry}, 57(2):431–469, 2017.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1510.04053}{arXiv:1510.04053}.

\bibitem[97]{dgd-a01-2017-discrete-riemann}
Alexander~I Bobenko and Felix Günther.
\newblock \newline
\newblock {Discrete Riemann surfaces based on quadrilateral cellular decompositions.}
\newblock \newline
\newblock \emph{Advances in Mathematics}, 311:885–932, 2017.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1511.00652}{arXiv:1511.00652}, \href{https://doi.org/10.1016/j.aim.2017.03.010}{doi:10.1016/j.aim.2017.03.010}.

\bibitem[98]{dgd-a02-2019-02-minimal}
Alexander~I Bobenko, Sebastian Heller, and Nicholas Schmitt.
\newblock \newline
\newblock {Minimal n-Noids in hyperbolic and anti-de Sitter 3-space.}
\newblock \newline
\newblock \emph{Proceedings A of Royal Society}, July 2019.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1902.07992}{arXiv:1902.07992}, \href{https://doi.org/10.1098/rspa.2019.0173}{doi:10.1098/rspa.2019.0173}.

\bibitem[99]{dgd-c01-2017-supercyclidic}
Alexander~I Bobenko, Emanuel Huhnen-Venedey, and Thilo Rörig.
\newblock \newline
\newblock {Supercyclidic nets.}
\newblock \newline
\newblock \emph{International Mathematics Research Notices}, 2017(2):323–371, February 2017.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1412.7422}{arXiv:1412.7422}, \href{https://doi.org/10.1093/imrn/rnv328}{doi:10.1093/imrn/rnv328}.

\bibitem[100]{dgd-c01-2019-05-multi-nets}
Alexander~I Bobenko, Helmut Pottmann, and Thilo Rörig.
\newblock \newline
\newblock {Multi-Nets. Classification of discrete and smooth surfaces with characteristic properties on arbitrary parameter rectangles.}
\newblock \newline
\newblock \emph{Discrete Comput. Geom.}, May 2019.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1802.05063}{arXiv:1802.05063}, \href{https://doi.org/10.1007/s00454-019-00101-1}{doi:10.1007/s00454-019-00101-1}.

\bibitem[101]{dgd-b02-2016-circle-compexes}
Alexander~I Bobenko and Wolfgang~K Schief.
\newblock \newline
\newblock {Circle complexes and the discrete CKP equation.}
\newblock \newline
\newblock \emph{International Mathematics Research Notices}, 2017(5):1504–1561, 2016.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1509.04109}{arXiv:1509.04109}, \href{https://doi.org/10.1093/imrn/rnw021}{doi:10.1093/imrn/rnw021}.

\bibitem[102]{dgd-a02-2018-on-a-discretization}
Alexander~I Bobenko, Wolfgang~K Schief, Yuri~B Suris, and Jan Techter.
\newblock \newline
\newblock {On a Discretization of Confocal Quadrics. A Geometric Approach to General Parametrizations.}
\newblock \newline
\newblock \emph{International Mathematics Research Notices}, December 2018.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1708.06800}{arXiv:1708.06800}, \href{https://doi.org/10.1093/imrn/rny279}{doi:10.1093/imrn/rny279}.

\bibitem[103]{dgd-a01-2017-abelian-higgs}
Alexander~I Bobenko and Ananth Sridhar.
\newblock \newline
\newblock {Abelian Higgs vortices and discrete conformal maps.}
\newblock \newline
\newblock \emph{Letters in Mathematical Physics}, 108(2):249–260, 2018.
\newblock \newline
\newblock \href{https://arxiv.org/abs/1703.04735}{arXiv:1703.04735}, \href{https://doi.org/10.1007/s11005-017-1004-5}{doi:10.1007/s11005-017-1004-5}.

\bibitem[104]{dgd-a02-2019-11-nets_of_lines}
Alexander~I. Bobenko and Alexander~Y. Fairley.
\newblock \newline
\newblock {Nets of lines with the combinatorics of the square grid and with touching inscribed conics.}
\newblock \newline
\newblock preprint, November 2019.
\newblock \newline
\newblock \href{https://www.discretization.de/publications/file/590}{dgd:590}.

\bibitem[105]{dgd-c01-2023-12-circular-nets}
Alexander~I. Bobenko and Alexander~Y. Fairley.
\newblock \newline
\newblock {Circular Nets with Spherical Parameter Lines and Terminating Laplace Sequences.}
\newblock \newline
\newblock preprint, December 2023.
\newblock \newline
\newblock \href{https://arxiv.org/abs/2312.04341}{arXiv:2312.04341}.

\bibitem[106]{dgd-b02-2012-09}
Alexander~I. Bobenko and Felix Günther.
\newblock \newline
\newblock {On Discrete Integrable Equations with Convex Variational Principles.}
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