Chen, Ming-Liang; Liu, Jing-Cheng; Zheng, Jia Tiling and spectrality for generalized Sierpinski self-affine sets. (English) Zbl 07761554 J. Geom. Anal. 34, No. 1, Paper No. 5, 32 p. (2024). MSC: 28A25 28A80 42C05 52C22 PDFBibTeX XMLCite \textit{M.-L. Chen} et al., J. Geom. Anal. 34, No. 1, Paper No. 5, 32 p. (2024; Zbl 07761554) Full Text: DOI
Kostin, A. V.; Kostina, N. N. Tammes problem and contact number for spheres in spaces of constant curvature. (English. Russian original) Zbl 07800781 J. Math. Sci., New York 277, No. 5, 750-755 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 182, 45-50 (2020). MSC: 53A35 52C17 PDFBibTeX XMLCite \textit{A. V. Kostin} and \textit{N. N. Kostina}, J. Math. Sci., New York 277, No. 5, 750--755 (2023; Zbl 07800781); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 182, 45--50 (2020) Full Text: DOI
Naor, Assaf; Regev, Oded An integer parallelotope with small surface area. (English) Zbl 07740623 J. Funct. Anal. 285, No. 10, Article ID 110122, 17 p. (2023). MSC: 52B12 PDFBibTeX XMLCite \textit{A. Naor} and \textit{O. Regev}, J. Funct. Anal. 285, No. 10, Article ID 110122, 17 p. (2023; Zbl 07740623) Full Text: DOI arXiv
Glazyrin, Alexey A short solution of the kissing number problem in dimension three. (English) Zbl 1512.52023 Discrete Comput. Geom. 69, No. 3, 931-935 (2023). Reviewer: Zsolt Lángi (Budapest) MSC: 52C17 52C35 05B40 33C55 41A05 90C05 PDFBibTeX XMLCite \textit{A. Glazyrin}, Discrete Comput. Geom. 69, No. 3, 931--935 (2023; Zbl 1512.52023) Full Text: DOI arXiv
Kovačević, Mladen Lattice packings of cross-polytopes from Reed-Solomon codes and Sidon sets. (English) Zbl 07740279 Bull. Lond. Math. Soc. 54, No. 6, 2372-2378 (2022). Reviewer: Mathieu Dutour Sikirić (Zagreb) MSC: 11H31 52C17 05B40 11B83 11H71 11T71 PDFBibTeX XMLCite \textit{M. Kovačević}, Bull. Lond. Math. Soc. 54, No. 6, 2372--2378 (2022; Zbl 07740279) Full Text: DOI arXiv
Hyde, Trevor Cyclotomic factors of necklace polynomials. (English) Zbl 1505.11047 Acta Arith. 204, No. 4, 287-316 (2022). Reviewer: Telveenus Antony (Kingston upon Thames) MSC: 11C08 11T22 11T24 52C35 68R15 PDFBibTeX XMLCite \textit{T. Hyde}, Acta Arith. 204, No. 4, 287--316 (2022; Zbl 1505.11047) Full Text: DOI arXiv
Lim, Tongseok; McCann, Robert J. Geometrical bounds for variance and recentered moments. (English) Zbl 1493.62274 Math. Oper. Res. 47, No. 1, 286-296 (2022). MSC: 62H05 49N15 52A40 60E15 90C46 PDFBibTeX XMLCite \textit{T. Lim} and \textit{R. J. McCann}, Math. Oper. Res. 47, No. 1, 286--296 (2022; Zbl 1493.62274) Full Text: DOI arXiv
Venkitesh, S. Covering symmetric sets of the Boolean cube by affine hyperplanes. (English) Zbl 1489.52014 Electron. J. Comb. 29, No. 2, Research Paper P2.22, 31 p. (2022). MSC: 52C17 05D40 51D20 PDFBibTeX XMLCite \textit{S. Venkitesh}, Electron. J. Comb. 29, No. 2, Research Paper P2.22, 31 p. (2022; Zbl 1489.52014) Full Text: DOI arXiv
Kühne, Lukas The universality of the resonance arrangement and its Betti numbers. (English) Zbl 1505.52024 Sémin. Lothar. Comb. 85B, Article 75, 12 p. (2021). MSC: 52C35 05B35 14N20 PDFBibTeX XMLCite \textit{L. Kühne}, Sémin. Lothar. Comb. 85B, Article 75, 12 p. (2021; Zbl 1505.52024) Full Text: arXiv Link
Vlăduţ, Serge On the lattice Hadwiger number of superballs and some other bodies. (English) Zbl 1483.11137 Discrete Comput. Geom. 66, No. 3, 1105-1112 (2021). Reviewer: Kanat Abdukhalikov (Al Ain) MSC: 11H31 05B40 52C17 11H71 14G50 PDFBibTeX XMLCite \textit{S. Vlăduţ}, Discrete Comput. Geom. 66, No. 3, 1105--1112 (2021; Zbl 1483.11137) Full Text: DOI arXiv
Yang, Ya-min; Zhang, Yuan Tilings of convex polyhedral cones and topological properties of self-affine tiles. (English) Zbl 1473.52026 Discrete Comput. Geom. 66, No. 3, 876-901 (2021). MSC: 52C22 51M20 PDFBibTeX XMLCite \textit{Y.-m. Yang} and \textit{Y. Zhang}, Discrete Comput. Geom. 66, No. 3, 876--901 (2021; Zbl 1473.52026) Full Text: DOI arXiv
Dostert, Maria; Kolpakov, Alexander Kissing number in non-Euclidean spaces of constant sectional curvature. (English) Zbl 1467.52027 Math. Comput. 90, No. 331, 2507-2525 (2021). MSC: 52C17 51M09 05B40 90C22 PDFBibTeX XMLCite \textit{M. Dostert} and \textit{A. Kolpakov}, Math. Comput. 90, No. 331, 2507--2525 (2021; Zbl 1467.52027) Full Text: DOI arXiv
Dostert, Maria; de Laat, David; Moustrou, Philippe Exact semidefinite programming bounds for packing problems. (English) Zbl 1527.90147 SIAM J. Optim. 31, No. 2, 1433-1458 (2021). MSC: 90C22 52C17 PDFBibTeX XMLCite \textit{M. Dostert} et al., SIAM J. Optim. 31, No. 2, 1433--1458 (2021; Zbl 1527.90147) Full Text: DOI arXiv
Glazyrin, Alexey Contact graphs of ball packings. (English) Zbl 1448.05162 J. Comb. Theory, Ser. B 145, 323-340 (2020). MSC: 05C70 05C62 52C17 PDFBibTeX XMLCite \textit{A. Glazyrin}, J. Comb. Theory, Ser. B 145, 323--340 (2020; Zbl 1448.05162) Full Text: DOI arXiv
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M. Upper bounds for energies of spherical codes of given cardinality and separation. (English) Zbl 1453.94162 Des. Codes Cryptography 88, No. 9, 1811-1826 (2020). MSC: 94B65 52A40 05B30 PDFBibTeX XMLCite \textit{P. G. Boyvalenkov} et al., Des. Codes Cryptography 88, No. 9, 1811--1826 (2020; Zbl 1453.94162) Full Text: DOI arXiv
Sah, Ashwin; Sawhney, Mehtaab; Stoner, David; Zhao, Yufei Exponential improvements for superball packing upper bounds. (English) Zbl 1446.52015 Adv. Math. 365, Article ID 107056, 9 p. (2020). Reviewer: Christian Richter (Jena) MSC: 52C17 PDFBibTeX XMLCite \textit{A. Sah} et al., Adv. Math. 365, Article ID 107056, 9 p. (2020; Zbl 1446.52015) Full Text: DOI arXiv
Hartman, Thomas; Mazáč, Dalimil; Rastelli, Leonardo Sphere packing and quantum gravity. (English) Zbl 1431.83053 J. High Energy Phys. 2019, No. 12, Paper No. 48, 68 p. (2019). MSC: 83C45 81T35 83C57 52C17 05B40 17B68 PDFBibTeX XMLCite \textit{T. Hartman} et al., J. High Energy Phys. 2019, No. 12, Paper No. 48, 68 p. (2019; Zbl 1431.83053) Full Text: DOI arXiv
Miller, Stephen D.; Stephens-Davidowitz, Noah Kissing numbers and transference theorems from generalized tail bounds. (English) Zbl 1422.52006 SIAM J. Discrete Math. 33, No. 3, 1313-1325 (2019). MSC: 52C07 42B99 PDFBibTeX XMLCite \textit{S. D. Miller} and \textit{N. Stephens-Davidowitz}, SIAM J. Discrete Math. 33, No. 3, 1313--1325 (2019; Zbl 1422.52006) Full Text: DOI arXiv
Ehrenborg, Richard Counting faces in the extended Shi arrangement. (English) Zbl 1418.52010 Adv. Appl. Math. 109, 55-64 (2019). MSC: 52C30 05A15 05E99 PDFBibTeX XMLCite \textit{R. Ehrenborg}, Adv. Appl. Math. 109, 55--64 (2019; Zbl 1418.52010) Full Text: DOI
An, Li-Xiang; Lau, Ka-Sing Characterization of a class of planar self-affine tile digit sets. (English) Zbl 1462.11021 Trans. Am. Math. Soc. 371, No. 11, 7627-7650 (2019). MSC: 11B75 52C22 11A63 28A80 PDFBibTeX XMLCite \textit{L.-X. An} and \textit{K.-S. Lau}, Trans. Am. Math. Soc. 371, No. 11, 7627--7650 (2019; Zbl 1462.11021) Full Text: DOI
Baudrier, Étienne; Mazo, Loïc Combinatorics of the Gauss digitization under translation in 2D. (English) Zbl 1431.52021 J. Math. Imaging Vis. 61, No. 2, 224-236 (2019). MSC: 52B55 20H15 94A08 PDFBibTeX XMLCite \textit{É. Baudrier} and \textit{L. Mazo}, J. Math. Imaging Vis. 61, No. 2, 224--236 (2019; Zbl 1431.52021) Full Text: DOI HAL
Caluza Machado, Fabrício; de Oliveira Filho, Fernando Mário Improving the semidefinite programming bound for the kissing number by exploiting polynomial symmetry. (English) Zbl 1401.52028 Exp. Math. 27, No. 3, 362-369 (2018). MSC: 52C17 90C22 PDFBibTeX XMLCite \textit{F. Caluza Machado} and \textit{F. M. de Oliveira Filho}, Exp. Math. 27, No. 3, 362--369 (2018; Zbl 1401.52028) Full Text: DOI arXiv
Bezdek, Károly; Naszódi, Márton On contact graphs of totally separable packings in low dimensions. (English) Zbl 1397.05139 Adv. Appl. Math. 101, 266-280 (2018). MSC: 05C70 05C10 52C15 05B40 46B20 PDFBibTeX XMLCite \textit{K. Bezdek} and \textit{M. Naszódi}, Adv. Appl. Math. 101, 266--280 (2018; Zbl 1397.05139) Full Text: DOI arXiv Link
Jenssen, Matthew; Joos, Felix; Perkins, Will On kissing numbers and spherical codes in high dimensions. (English) Zbl 1405.52016 Adv. Math. 335, 307-321 (2018). Reviewer: Lenny Fukshansky (Claremont) MSC: 52C17 05B40 82B21 PDFBibTeX XMLCite \textit{M. Jenssen} et al., Adv. Math. 335, 307--321 (2018; Zbl 1405.52016) Full Text: DOI arXiv Link
Glazyrin, Alexey; Yu, Wei-Hsuan Upper bounds for \(s\)-distance sets and equiangular lines. (English) Zbl 1394.52026 Adv. Math. 330, 810-833 (2018). MSC: 52C35 90C22 PDFBibTeX XMLCite \textit{A. Glazyrin} and \textit{W.-H. Yu}, Adv. Math. 330, 810--833 (2018; Zbl 1394.52026) Full Text: DOI arXiv
Henk, Martin A note on lattice packings via lattice refinements. (English) Zbl 1388.52011 Exp. Math. 27, No. 1, 1-9 (2018). MSC: 52C07 52C17 11H06 PDFBibTeX XMLCite \textit{M. Henk}, Exp. Math. 27, No. 1, 1--9 (2018; Zbl 1388.52011) Full Text: DOI
Musin, O. R. Towards a proof of the 24-cell conjecture. (English) Zbl 1413.52026 Acta Math. Hung. 155, No. 1, 184-199 (2017). Reviewer: Elizaveta Zamorzaeva (Chişinău) MSC: 52C17 PDFBibTeX XMLCite \textit{O. R. Musin}, Acta Math. Hung. 155, No. 1, 184--199 (2017; Zbl 1413.52026) Full Text: DOI arXiv
Solymosi, J.; Wong, C. An application of kissing number in sum-product estimates. (English) Zbl 1413.52023 Acta Math. Hung. 155, No. 1, 47-60 (2017). Reviewer: László A. Székely (Columbia) MSC: 52C10 52C07 11H06 PDFBibTeX XMLCite \textit{J. Solymosi} and \textit{C. Wong}, Acta Math. Hung. 155, No. 1, 47--60 (2017; Zbl 1413.52023) Full Text: DOI arXiv
De Loera, J. A.; La Haye, R. N.; Oliveros, D.; Roldán-Pensado, E. Helly numbers of algebraic subsets of \(\mathbb{R}^{d}\) and an extension of Doignon’s theorem. (English) Zbl 1431.52011 Adv. Geom. 17, No. 4, 473-482 (2017). MSC: 52A35 52C07 PDFBibTeX XMLCite \textit{J. A. De Loera} et al., Adv. Geom. 17, No. 4, 473--482 (2017; Zbl 1431.52011) Full Text: DOI arXiv
Lai, Chun-Kit; Lau, Ka-Sing Some recent developments of self-affine tiles. (English) Zbl 1427.52015 Barral, Julien (ed.) et al., Recent developments in fractals and related fields. Conference on fractals and related fields III, Ile de Porquerolles, France, September 2015. Cham: Birkhäuser/Springer. Trends Math., 207-232 (2017). MSC: 52C22 11B75 28A80 PDFBibTeX XMLCite \textit{C.-K. Lai} and \textit{K.-S. Lau}, in: Recent developments in fractals and related fields. Conference on fractals and related fields III, Ile de Porquerolles, France, September 2015. Cham: Birkhäuser/Springer. 207--232 (2017; Zbl 1427.52015) Full Text: DOI
Dostert, Maria; Guzmán, Cristóbal; de Oliveira Filho, Fernando Mário; Vallentin, Frank New upper bounds for the density of translative packings of three-dimensional convex bodies with tetrahedral symmetry. (English) Zbl 1376.52036 Discrete Comput. Geom. 58, No. 2, 449-481 (2017). MSC: 52C17 90C22 PDFBibTeX XMLCite \textit{M. Dostert} et al., Discrete Comput. Geom. 58, No. 2, 449--481 (2017; Zbl 1376.52036) Full Text: DOI arXiv
Kallal, Kenz; Kan, Tomoka; Wang, Eric Improved lower bounds for kissing numbers in dimensions 25 through 31. (English) Zbl 1373.52023 SIAM J. Discrete Math. 31, No. 3, 1895-1908 (2017). MSC: 52C17 05B40 PDFBibTeX XMLCite \textit{K. Kallal} et al., SIAM J. Discrete Math. 31, No. 3, 1895--1908 (2017; Zbl 1373.52023) Full Text: DOI arXiv
Cheng, Shantian Dense packings from algebraic number fields and codes. (English) Zbl 1392.11046 Finite Fields Appl. 45, 217-236 (2017). MSC: 11H31 52C17 11H71 11H06 11R04 PDFBibTeX XMLCite \textit{S. Cheng}, Finite Fields Appl. 45, 217--236 (2017; Zbl 1392.11046) Full Text: DOI arXiv
Chen, Hao Apollonian ball packings and stacked polytopes. (English) Zbl 1351.52019 Discrete Comput. Geom. 55, No. 4, 801-826 (2016). Reviewer: Anton Shutov (Vladimir) MSC: 52C17 52B11 20F55 PDFBibTeX XMLCite \textit{H. Chen}, Discrete Comput. Geom. 55, No. 4, 801--826 (2016; Zbl 1351.52019) Full Text: DOI arXiv
García, Alfredo; Hurtado, Ferran; Tejel, Javier; Urrutia, Jorge Configurations of non-crossing rays and related problems. (English) Zbl 1335.05016 Discrete Comput. Geom. 55, No. 3, 522-549 (2016). MSC: 05A16 52C99 68U05 PDFBibTeX XMLCite \textit{A. García} et al., Discrete Comput. Geom. 55, No. 3, 522--549 (2016; Zbl 1335.05016) Full Text: DOI Link
Grande, Francesco; Rué, Juanjo Many 2-level polytopes from matroids. (English) Zbl 1342.05021 Discrete Comput. Geom. 54, No. 4, 954-979 (2015). Reviewer: Susama Agarwala (London) MSC: 05B35 52B40 52B99 05A15 PDFBibTeX XMLCite \textit{F. Grande} and \textit{J. Rué}, Discrete Comput. Geom. 54, No. 4, 954--979 (2015; Zbl 1342.05021) Full Text: DOI arXiv
Musin, Oleg R.; Tarasov, Alexey S. The Tammes problem for \(N = 14\). (English) Zbl 1327.52042 Exp. Math. 24, No. 4, 460-468 (2015). MSC: 52C35 52C17 05B40 PDFBibTeX XMLCite \textit{O. R. Musin} and \textit{A. S. Tarasov}, Exp. Math. 24, No. 4, 460--468 (2015; Zbl 1327.52042) Full Text: DOI arXiv
Steiner, Wolfgang; Thuswaldner, Jörg M. Rational self-affine tiles. (English) Zbl 1329.52019 Trans. Am. Math. Soc. 367, No. 11, 7863-7894 (2015). Reviewer: Judit Abardia (Frankfurt a. M.) MSC: 52C22 11A63 28A80 PDFBibTeX XMLCite \textit{W. Steiner} and \textit{J. M. Thuswaldner}, Trans. Am. Math. Soc. 367, No. 11, 7863--7894 (2015; Zbl 1329.52019) Full Text: DOI arXiv
Kuklin, N. A. The extremal function in the Delsarte problem of finding an upper bound for the kissing number in the three-dimensional space. (English. Russian original) Zbl 1321.52023 Proc. Steklov Inst. Math. 288, Suppl. 1, S99-S111 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 1, 130-141 (2014). MSC: 52C17 90C05 PDFBibTeX XMLCite \textit{N. A. Kuklin}, Proc. Steklov Inst. Math. 288, S99--S111 (2015; Zbl 1321.52023); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 1, 130--141 (2014) Full Text: DOI
Xue, Yu-Mei; Li, La-na Digit sets for self-similar tiles. (English) Zbl 1398.11053 Acta Math. Appl. Sin., Engl. Ser. 31, No. 2, 493-498 (2015). MSC: 11B75 52C20 PDFBibTeX XMLCite \textit{Y.-M. Xue} and \textit{L.-n. Li}, Acta Math. Appl. Sin., Engl. Ser. 31, No. 2, 493--498 (2015; Zbl 1398.11053) Full Text: DOI
Lai, Chun-Kit; Lau, Ka-Sing; Rao, Hui Spectral structure of digit sets of self-similar tiles on \(\mathbb R^1\). (English) Zbl 1305.11006 Trans. Am. Math. Soc. 365, No. 7, 3831-3850 (2013). MSC: 11A63 11B75 28A80 52C22 PDFBibTeX XMLCite \textit{C.-K. Lai} et al., Trans. Am. Math. Soc. 365, No. 7, 3831--3850 (2013; Zbl 1305.11006) Full Text: DOI arXiv
Asinowski, Andrei; Barequet, Gill; Bousquet-Mélou, Mireille; Mansour, Toufik; Pinter, Ron Y. Orders induced by segments in floorplans and (2-14-3, 3-41-2)-avoiding permutations. (English) Zbl 1267.05018 Electron. J. Comb. 20, No. 2, Research Paper P35, 43 p. (2013). MSC: 05A15 05B45 52C20 PDFBibTeX XMLCite \textit{A. Asinowski} et al., Electron. J. Comb. 20, No. 2, Research Paper P35, 43 p. (2013; Zbl 1267.05018) Full Text: arXiv Link
Dadush, Daniel; Vempala, Santosh Deterministic construction of an approximate M-ellipsoid and its applications to derandomizing lattice algorithms. (English) Zbl 1421.68209 Rabani, Yuval (ed.), Proceedings of the 23rd annual ACM-SIAM symposium on discrete algorithms, SODA 2012, Kyoto, Japan, January 17–19, 2012. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 1445-1456 (2012). MSC: 68W25 11H06 11Y16 52C07 68Q25 68W20 PDFBibTeX XMLCite \textit{D. Dadush} and \textit{S. Vempala}, in: Proceedings of the 23rd annual ACM-SIAM symposium on discrete algorithms, SODA 2012, Kyoto, Japan, January 17--19, 2012. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 1445--1456 (2012; Zbl 1421.68209) Full Text: arXiv Link
Musin, Oleg R.; Tarasov, Alexey S. The strong thirteen spheres problem. (English) Zbl 1269.52015 Discrete Comput. Geom. 48, No. 1, 128-141 (2012). Reviewer: Martin Henk (Magdeburg) MSC: 52C17 05C62 PDFBibTeX XMLCite \textit{O. R. Musin} and \textit{A. S. Tarasov}, Discrete Comput. Geom. 48, No. 1, 128--141 (2012; Zbl 1269.52015) Full Text: DOI arXiv
Cohn, Henry; Jiao, Yang; Kumar, Abhinav; Torquato, Salvatore Rigidity of spherical codes. (English) Zbl 1232.52016 Geom. Topol. 15, No. 4, 2235-2273 (2011). MSC: 52C25 52C17 PDFBibTeX XMLCite \textit{H. Cohn} et al., Geom. Topol. 15, No. 4, 2235--2273 (2011; Zbl 1232.52016) Full Text: DOI arXiv
Fukshansky, Lenny; Robins, Sinai Bounds for solid angles of lattices of rank three. (English) Zbl 1237.11032 J. Comb. Theory, Ser. A 118, No. 2, 690-701 (2011). Reviewer: Iskander Aliev (Cardiff) MSC: 11H31 11H55 52C17 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{S. Robins}, J. Comb. Theory, Ser. A 118, No. 2, 690--701 (2011; Zbl 1237.11032) Full Text: DOI arXiv
Cohn, Henry; Kumar, Abhinav Optimality and uniqueness of the Leech lattice among lattices. (English) Zbl 1213.11144 Ann. Math. (2) 170, No. 3, 1003-1050 (2009). Reviewer: Roland Quême (Brax) MSC: 11H31 52C17 05B40 PDFBibTeX XMLCite \textit{H. Cohn} and \textit{A. Kumar}, Ann. Math. (2) 170, No. 3, 1003--1050 (2009; Zbl 1213.11144) Full Text: DOI arXiv Link
Bannai, Eiichi; Bannai, Etsuko A survey on spherical designs and algebraic combinatorics on spheres. (English) Zbl 1207.05022 Eur. J. Comb. 30, No. 6, 1392-1425 (2009). MSC: 05B30 05E30 52C17 PDFBibTeX XMLCite \textit{E. Bannai} and \textit{E. Bannai}, Eur. J. Comb. 30, No. 6, 1392--1425 (2009; Zbl 1207.05022) Full Text: DOI
da Silva, Ilda P. F. Cubes and orientability. (English) Zbl 1225.52010 Discrete Math. 308, No. 16, 3574-3585 (2008). MSC: 52C40 05B35 PDFBibTeX XMLCite \textit{I. P. F. da Silva}, Discrete Math. 308, No. 16, 3574--3585 (2008; Zbl 1225.52010) Full Text: DOI
Draisma, Jan A tropical approach to secant dimensions. (English) Zbl 1126.14059 J. Pure Appl. Algebra 212, No. 2, 349-363 (2008). Reviewer: Edoardo Ballico (Povo) MSC: 14N05 14M25 52B55 PDFBibTeX XMLCite \textit{J. Draisma}, J. Pure Appl. Algebra 212, No. 2, 349--363 (2008; Zbl 1126.14059) Full Text: DOI arXiv
Zammataro, Luca; Serini, Guido; Rowland, Todd; Bussolino, Federico Embryonic cleavage modeling as a computational approach to sphere packing problem. (English) Zbl 1451.92060 J. Theor. Biol. 245, No. 1, 77-82 (2007). MSC: 92C15 92C37 52C17 PDFBibTeX XMLCite \textit{L. Zammataro} et al., J. Theor. Biol. 245, No. 1, 77--82 (2007; Zbl 1451.92060) Full Text: DOI
Leung, King-Shun; Lau, Ka-Sing Disklikeness of planar self-affine tiles. (English) Zbl 1118.52023 Trans. Am. Math. Soc. 359, No. 7, 3337-3355 (2007). Reviewer: Johann Linhart (Salzburg) MSC: 52C20 28A80 PDFBibTeX XMLCite \textit{K.-S. Leung} and \textit{K.-S. Lau}, Trans. Am. Math. Soc. 359, No. 7, 3337--3355 (2007; Zbl 1118.52023) Full Text: DOI
Cohn, Henry; Kumar, Abhinav Universally optimal distribution of points on spheres. (English) Zbl 1198.52009 J. Am. Math. Soc. 20, No. 1, 99-148 (2007). MSC: 52A40 52C17 41A63 PDFBibTeX XMLCite \textit{H. Cohn} and \textit{A. Kumar}, J. Am. Math. Soc. 20, No. 1, 99--148 (2007; Zbl 1198.52009) Full Text: DOI arXiv
Bezdek, Károly Sphere packings revisited. (English) Zbl 1091.52010 Eur. J. Comb. 27, No. 6, 864-883 (2006). MSC: 52C17 PDFBibTeX XMLCite \textit{K. Bezdek}, Eur. J. Comb. 27, No. 6, 864--883 (2006; Zbl 1091.52010) Full Text: DOI
Cohn, Henry; Kumar, Abhinav The densest lattice in twenty-four dimensions. (English) Zbl 1062.11044 Electron. Res. Announc. Am. Math. Soc. 10, 58-67 (2004). MSC: 11H31 05B40 11H55 52C15 PDFBibTeX XMLCite \textit{H. Cohn} and \textit{A. Kumar}, Electron. Res. Announc. Am. Math. Soc. 10, 58--67 (2004; Zbl 1062.11044) Full Text: DOI arXiv EuDML EMIS
Lau, Ka-Sing; Rao, Hui On one-dimensional self-similar tilings and \(pq\)-tiles. (English) Zbl 1019.52012 Trans. Am. Math. Soc. 355, No. 4, 1401-1414 (2003). MSC: 52C20 52C22 42B99 PDFBibTeX XMLCite \textit{K.-S. Lau} and \textit{H. Rao}, Trans. Am. Math. Soc. 355, No. 4, 1401--1414 (2003; Zbl 1019.52012) Full Text: DOI
Arestov, V. V.; Babenko, A. G. Estimates of the maximal value of angular code distance for 24 and 25 points on the unit sphere in \(\mathbb{R}^4\). (English. Russian original) Zbl 1018.94039 Math. Notes 68, No. 4, 419-435 (2000); translation from Mat. Zametki 68, No. 4, 483-503 (2000). MSC: 94B75 52C17 94B65 PDFBibTeX XMLCite \textit{V. V. Arestov} and \textit{A. G. Babenko}, Math. Notes 68, No. 4, 419--435 (2000; Zbl 1018.94039); translation from Mat. Zametki 68, No. 4, 483--503 (2000) Full Text: DOI
Hobby, John D. A natural lattice basis problem with applications. (English) Zbl 1044.11594 Math. Comput. 67, No. 223, 1149-1161 (1998). MSC: 11H55 52C07 68U15 PDFBibTeX XMLCite \textit{J. D. Hobby}, Math. Comput. 67, No. 223, 1149--1161 (1998; Zbl 1044.11594) Full Text: DOI
Lagarias, Jeffrey C.; Wang, Yang Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings. (English) Zbl 0893.52015 J. Fourier Anal. Appl. 3, No. 1, 83-102 (1997). MSC: 52C22 28A80 42C15 52C07 PDFBibTeX XMLCite \textit{J. C. Lagarias} and \textit{Y. Wang}, J. Fourier Anal. Appl. 3, No. 1, 83--102 (1997; Zbl 0893.52015) Full Text: DOI EuDML
Bousquet-Mélou, Mireille; Guttmann, Anthony J. Enumeration of three-dimensional convex polygons. (English) Zbl 0927.05004 Ann. Comb. 1, No. 1, 27-53 (1997). MSC: 05A15 05C30 52B55 PDFBibTeX XMLCite \textit{M. Bousquet-Mélou} and \textit{A. J. Guttmann}, Ann. Comb. 1, No. 1, 27--53 (1997; Zbl 0927.05004) Full Text: DOI
Kolushov, A. V.; Yudin, V. A. Extremal dispositions of the points on the sphere. (English) Zbl 0880.51008 Anal. Math. 23, No. 1, 25-34 (1997). Reviewer: E.Quaisser (Potsdam) MSC: 51M10 51K99 52A40 65D05 41A05 PDFBibTeX XMLCite \textit{A. V. Kolushov} and \textit{V. A. Yudin}, Anal. Math. 23, No. 1, 25--34 (1997; Zbl 0880.51008) Full Text: DOI
Rush, J. A. Lattice packing of nearly-Euclidean balls in spaces of even dimension. (English) Zbl 0866.11042 Proc. Edinb. Math. Soc., II. Ser. 39, No. 1, 163-169 (1996). Reviewer: J.M.Wills (Siegen) MSC: 11H31 52C07 PDFBibTeX XMLCite \textit{J. A. Rush}, Proc. Edinb. Math. Soc., II. Ser. 39, No. 1, 163--169 (1996; Zbl 0866.11042) Full Text: DOI
Zong, Chuanming The kissing numbers of tetrahedra. (English) Zbl 0848.52007 Discrete Comput. Geom. 15, No. 3, 239-252 (1996). Reviewer: J.M.Wills (Siegen) MSC: 52C17 52C07 PDFBibTeX XMLCite \textit{C. Zong}, Discrete Comput. Geom. 15, No. 3, 239--252 (1996; Zbl 0848.52007) Full Text: DOI
Rush, J. A. Compositions of sums of absolute powers. (English) Zbl 0830.11023 Geom. Dedicata 57, No. 2, 135-143 (1995). Reviewer: J.M.Wills (Siegen) MSC: 11H31 52C17 52C07 PDFBibTeX XMLCite \textit{J. A. Rush}, Geom. Dedicata 57, No. 2, 135--143 (1995; Zbl 0830.11023) Full Text: DOI
Vince, Andrew Rep-tiling Euclidean space. (English) Zbl 0832.52005 Aequationes Math. 50, No. 1-2, 191-213 (1995). Reviewer: P.Schmitt (Wien) MSC: 52C20 52C22 11A63 52-02 28A80 PDFBibTeX XMLCite \textit{A. Vince}, Aequationes Math. 50, No. 1--2, 191--213 (1995; Zbl 0832.52005) Full Text: DOI EuDML
Rush, J. A. An indexed set of density bounds on lattice packings. (English) Zbl 0817.11033 Geom. Dedicata 53, No. 2, 217-221 (1994). Reviewer: J.M.Wills (Siegen) MSC: 11H31 52C07 52C17 PDFBibTeX XMLCite \textit{J. A. Rush}, Geom. Dedicata 53, No. 2, 217--221 (1994; Zbl 0817.11033) Full Text: DOI
Boyvalenkov, Peter On the extremality of the polynomials used for obtaining the best known upper bounds for the kissing numbers. (English) Zbl 0809.52028 J. Geom. 49, No. 1-2, 67-71 (1994). MSC: 52C17 05B40 PDFBibTeX XMLCite \textit{P. Boyvalenkov}, J. Geom. 49, No. 1--2, 67--71 (1994; Zbl 0809.52028) Full Text: DOI
Rush, J. A. A bound, and a conjecture, on the maximum lattice-packing density of a superball. (English) Zbl 0785.52007 Mathematika 40, No. 1, 137-143 (1993). Reviewer: J.M.Wills (Siegen) MSC: 52C17 52C07 11H31 PDFBibTeX XMLCite \textit{J. A. Rush}, Mathematika 40, No. 1, 137--143 (1993; Zbl 0785.52007) Full Text: DOI
Conway, J. H.; Sloane, N. J. A. On the covering multiplicity of lattices. (English) Zbl 0754.52007 Discrete Comput. Geom. 8, No. 2, 109-130 (1992). Reviewer: J.M.Wills (Siegen) MSC: 52C17 52C07 11H31 05B40 PDFBibTeX XMLCite \textit{J. H. Conway} and \textit{N. J. A. Sloane}, Discrete Comput. Geom. 8, No. 2, 109--130 (1992; Zbl 0754.52007) Full Text: DOI EuDML
Rush, J. A. Constructive packings of cross polytopes. (English) Zbl 0757.52016 Mathematika 38, No. 2, 376-380 (1991). Reviewer: J.M.Wills (Siegen) MSC: 52C17 52C07 11H31 05B40 PDFBibTeX XMLCite \textit{J. A. Rush}, Mathematika 38, No. 2, 376--380 (1991; Zbl 0757.52016) Full Text: DOI
Stanley, Richard P. Some applications of algebra to combinatorics. (English) Zbl 0762.06001 Discrete Appl. Math. 34, No. 1-3, 241-277 (1991). Reviewer: D.Jungnickel (Gießen) MSC: 06-02 05-02 06A07 05A17 05E25 06C05 52B05 13H10 20E15 05D99 PDFBibTeX XMLCite \textit{R. P. Stanley}, Discrete Appl. Math. 34, No. 1--3, 241--277 (1991; Zbl 0762.06001) Full Text: DOI
Elkies, N. D.; Odlyzko, A. M.; Rush, J. A. On the packing densities of superballs and other bodies. (English) Zbl 0736.52008 Invent. Math. 105, No. 3, 613-639 (1991). Reviewer: H.Martini (Dresden) MSC: 52C17 11H31 PDFBibTeX XMLCite \textit{N. D. Elkies} et al., Invent. Math. 105, No. 3, 613--639 (1991; Zbl 0736.52008) Full Text: DOI EuDML
Conway, J. H.; Sloane, N. J. A. Lattices with few distances. (English) Zbl 0737.11017 J. Number Theory 39, No. 1, 75-90 (1991). Reviewer: H.G.Quebbemann (Oldenburg) MSC: 11H06 52C07 52C10 PDFBibTeX XMLCite \textit{J. H. Conway} and \textit{N. J. A. Sloane}, J. Number Theory 39, No. 1, 75--90 (1991; Zbl 0737.11017) Full Text: DOI
Conway, J. H.; Sloane, N. J. A. A new upper bound for the minimum of an integral lattice of determinant 1. (English) Zbl 0709.11030 Bull. Am. Math. Soc., New Ser. 23, No. 2, 383-387 (1990). Reviewer: M.Peters MSC: 11E25 11H31 94B05 11E41 11F27 52C17 PDFBibTeX XMLCite \textit{J. H. Conway} and \textit{N. J. A. Sloane}, Bull. Am. Math. Soc., New Ser. 23, No. 2, 383--387 (1990; Zbl 0709.11030) Full Text: DOI
Fejes Tóth, Gábor; Gritzmann, P.; Wills, J. M. Finite sphere packing and sphere covering. (English) Zbl 0658.52007 Discrete Comput. Geom. 4, No. 1, 19-40 (1989). Reviewer: A.Florian MSC: 52C17 52A40 05B40 PDFBibTeX XMLCite \textit{G. Fejes Tóth} et al., Discrete Comput. Geom. 4, No. 1, 19--40 (1989; Zbl 0658.52007) Full Text: DOI EuDML
Conway, J. H.; Sloane, N. J. A. The Coxeter-Todd lattice, the Mitchell group, and related sphere packings. (English) Zbl 0518.10035 Math. Proc. Camb. Philos. Soc. 93, 421-440 (1983). MSC: 11H55 11H06 52C17 11H31 20B25 PDFBibTeX XMLCite \textit{J. H. Conway} and \textit{N. J. A. Sloane}, Math. Proc. Camb. Philos. Soc. 93, 421--440 (1983; Zbl 0518.10035) Full Text: DOI
Conway, J. H.; Sloane, N. J. A. On the enumeration of lattices of determinant one. (English) Zbl 0496.10023 J. Number Theory 15, 83-94 (1982). MSC: 11H31 11H06 52C07 52C17 11E16 PDFBibTeX XMLCite \textit{J. H. Conway} and \textit{N. J. A. Sloane}, J. Number Theory 15, 83--94 (1982; Zbl 0496.10023) Full Text: DOI