Akiyama, Jin; Matsunaga, Kiyoko Treks into intuitive geometry. The world of polygons and polyhedra (to appear). 2nd edition. (English) Zbl 07813964 Singapore: Springer (ISBN 978-981-99-8607-1/hbk; 978-981-99-8610-1/pbk; 978-981-99-8608-8/ebook). (2024). MSC: 52-01 52Bxx 00A09 05B45 00A66 00A67 PDFBibTeX XML
Beyer, Moritz; Mereta, Stefano; Roldán, Érika; Voran, Peter Higher-dimensional cubical sliding puzzles. arXiv:2307.14143 Preprint, arXiv:2307.14143 [math.CO] (2023). MSC: 00A08 05A05 05A20 20-04 20B40 05B45 05B50 05C12 05C25 BibTeX Cite \textit{M. Beyer} et al., ``Higher-dimensional cubical sliding puzzles'', Preprint, arXiv:2307.14143 [math.CO] (2023) Full Text: arXiv OA License
Leddy, Dorothy Book review of: B. DiLeonardo-Parker, Six simple twists. The pleat pattern approach to origami tessellation design. 2nd ed. (English) Zbl 1502.00035 Lond. Math. Soc., Newsl. 2022, No. 501, 40-41 (2022). MSC: 00A17 05-01 05B45 52C20 52C22 00A08 PDFBibTeX XMLCite \textit{D. Leddy}, Lond. Math. Soc., Newsl. 2022, No. 501, 40--41 (2022; Zbl 1502.00035) Full Text: Link
Karpman, Ray; Roldan, Erika Parity Property of Hexagonal Sliding Puzzles. arXiv:2201.00919 Preprint, arXiv:2201.00919 [math.CO] (2022). MSC: 00A08 05A20 05C25 05A05 05B45 05B50 BibTeX Cite \textit{R. Karpman} and \textit{E. Roldan}, ``Parity Property of Hexagonal Sliding Puzzles'', Preprint, arXiv:2201.00919 [math.CO] (2022) Full Text: arXiv OA License
Hertz, Paul IgnoTheory: a compositional system for intermedia art based on tiling patterns and labelled graphs. (English) Zbl 1502.00087 Darvas, György (ed.), Complex symmetries. Cham: Birkhäuser. 17-34 (2021). MSC: 00A66 00A06 00A08 00A65 05B45 52C20 PDFBibTeX XMLCite \textit{P. Hertz}, in: Complex symmetries. Cham: Birkhäuser. 17--34 (2021; Zbl 1502.00087) Full Text: DOI
Torrence, Bruce Book review of: R. Fathauer, Tessellations: mathematics, art, and recreation. (English) Zbl 1484.00080 Am. Math. Mon. 128, No. 10, 955-959 (2021). MSC: 00A17 52-01 52C20 00A66 05B45 00A09 PDFBibTeX XMLCite \textit{B. Torrence}, Am. Math. Mon. 128, No. 10, 955--959 (2021; Zbl 1484.00080) Full Text: DOI
Pohl, Sarah Sophie; Richter, Christian The complete characterization of tangram pentagons. (English) Zbl 1462.52034 Beitr. Algebra Geom. 62, No. 1, 121-135 (2021). MSC: 52C20 00A08 05B45 51M04 PDFBibTeX XMLCite \textit{S. S. Pohl} and \textit{C. Richter}, Beitr. Algebra Geom. 62, No. 1, 121--135 (2021; Zbl 1462.52034) Full Text: DOI arXiv
Fathauer, Robert Tessellations. Mathematics, art, and recreation. (English) Zbl 1446.52001 Boca Raton, FL: CRC Press (ISBN 978-0-367-18597-8/hbk; 978-0-367-18596-1/pbk; 978-0-429-19712-3/ebook). xiii, 450 p. (2021). MSC: 52-01 52C20 00A66 05B45 00A09 PDFBibTeX XMLCite \textit{R. Fathauer}, Tessellations. Mathematics, art, and recreation. Boca Raton, FL: CRC Press (2021; Zbl 1446.52001) Full Text: DOI
DiLeonardo-Parker, Benjamin Six simple twists. The pleat pattern approach to origami tessellation design. 2nd edition. (English) Zbl 1441.05001 Boca Raton, FL: CRC Press/A K Peters (ISBN 978-1-138-31192-3/hbk; 978-1-138-31188-6/pbk; 978-0-429-45856-9/ebook). xii, 308 p. (2020). MSC: 05-01 05B45 52C20 52C22 00A08 PDFBibTeX XMLCite \textit{B. DiLeonardo-Parker}, Six simple twists. The pleat pattern approach to origami tessellation design. 2nd edition. Boca Raton, FL: CRC Press/A K Peters (2021; Zbl 1441.05001) Full Text: DOI
Moradzadeh, Sam; Nejad Ebrahimi, Ahad Islamic geometric patterns in higher dimensions. (English) Zbl 1496.00053 Nexus Netw. J. 22, No. 3, 777-798 (2020). MSC: 00A67 00A66 52C22 PDFBibTeX XMLCite \textit{S. Moradzadeh} and \textit{A. Nejad Ebrahimi}, Nexus Netw. J. 22, No. 3, 777--798 (2020; Zbl 1496.00053) Full Text: DOI
Erbudak, Mehmet Mathematical classification of Rum Seljuk ornaments. (English) Zbl 1499.00004 Symmetry Cult. Sci. 31, No. 2, 177-198 (2020). MSC: 00A67 PDFBibTeX XMLCite \textit{M. Erbudak}, Symmetry Cult. Sci. 31, No. 2, 177--198 (2020; Zbl 1499.00004) Full Text: DOI
Guerten, Alexander KUHKUBUS-3D-Escher-tessellations. (English) Zbl 1462.00052 J. Math. Arts 14, No. 1-2, 69-71 (2020). MSC: 00A66 52C22 PDFBibTeX XMLCite \textit{A. Guerten}, J. Math. Arts 14, No. 1--2, 69--71 (2020; Zbl 1462.00052) Full Text: DOI
Faust, Dikko Letterpress tessellation. (English) Zbl 1462.00047 J. Math. Arts 14, No. 1-2, 46-48 (2020). MSC: 00A66 52C20 PDFBibTeX XMLCite \textit{D. Faust}, J. Math. Arts 14, No. 1--2, 46--48 (2020; Zbl 1462.00047) Full Text: DOI
Heeffer, Albrecht Book review of: J. Kyppö, Board games. Throughout the history and multidimensional spaces. (English) Zbl 1461.00022 Math. Intell. 42, No. 4, 87-88 (2020). MSC: 00A17 91-03 01A05 00A08 05A10 05B45 91A05 91-01 91A46 PDFBibTeX XMLCite \textit{A. Heeffer}, Math. Intell. 42, No. 4, 87--88 (2020; Zbl 1461.00022) Full Text: DOI
Beber, Alessandro Origami tessellations: designing paperfolded geometric patterns. (English) Zbl 1454.00027 Emmer, Michele (ed.) et al., Imagine math 7. Between culture and mathematics. Proceedings of the international conference on mathematics and culture, Venice, Italy, March 29–31, 2019. Cham: Springer. 135-147 (2020). MSC: 00A66 51M20 52C20 PDFBibTeX XMLCite \textit{A. Beber}, in: Imagine math 7. Between culture and mathematics. Proceedings of the international conference on mathematics and culture, Venice, Italy, March 29--31, 2019. Cham: Springer. 135--147 (2020; Zbl 1454.00027) Full Text: DOI
Santos, José Carlos Tiling boards: solving puzzles as a motivation for proofs. (English) Zbl 1493.05064 Silva, Jorge Nuno (ed.), Proceedings of the recreational mathematics colloquium VI. Gathering for Gardner Europe, Lisbon, Portugal, January 26–29, 2019. Lisboa: Associação Ludus. 115-122 (2019). MSC: 05B45 52C20 00A08 PDFBibTeX XMLCite \textit{J. C. Santos}, in: Proceedings of the recreational mathematics colloquium VI. Gathering for Gardner Europe, Lisbon, Portugal, January 26--29, 2019. Lisboa: Associação Ludus. 115--122 (2019; Zbl 1493.05064)
Hemmerling, Marco Shell structures vs. tessellation patterns, a didactic experiment between architecture and mathematics. (English) Zbl 1423.00006 J. Geom. Graph. 23, No. 1, 127-137 (2019). MSC: 00A67 97M80 68U07 PDFBibTeX XMLCite \textit{M. Hemmerling}, J. Geom. Graph. 23, No. 1, 127--137 (2019; Zbl 1423.00006) Full Text: Link
Elran, Yossi Book review of: R. J. Lang, Twists, tilings, and tessellations. (English) Zbl 1425.00023 Notices Am. Math. Soc. 66, No. 8, 1326-1329 (2019). MSC: 00A17 05-02 05B25 05B45 52C22 PDFBibTeX XMLCite \textit{Y. Elran}, Notices Am. Math. Soc. 66, No. 8, 1326--1329 (2019; Zbl 1425.00023) Full Text: DOI
Kyppö, Jorma Board games. Throughout the history and multidimensional spaces. (English) Zbl 1429.91005 Series on Knots and Everything 63. Hackensack, NJ: World Scientific (ISBN 978-981-3233-52-2/hbk; 978-981-3233-54-6/ebook). xx, 319 p. (2019). Reviewer: Michel Rigo (Liège) MSC: 91-03 01A05 00A08 05A10 05B45 91A05 91-01 91A46 PDFBibTeX XMLCite \textit{J. Kyppö}, Board games. Throughout the history and multidimensional spaces. Hackensack, NJ: World Scientific (2019; Zbl 1429.91005) Full Text: DOI
Meek, Samantha An exploration and analysis of mathematics as a tool in the arts. (English) Zbl 1422.00012 Undergrad. Math J. 19, No. 1, Paper No. 1, 19 p. (2018). MSC: 00A66 05B45 PDFBibTeX XMLCite \textit{S. Meek}, Undergrad. Math J. 19, No. 1, Paper No. 1, 19 p. (2018; Zbl 1422.00012) Full Text: Link
Mazzucchi, Alessio A kinetic module for modular structures based on rigid origami. (English) Zbl 1398.00051 Nexus Netw. J. 20, No. 1, 41-57 (2018). MSC: 00A67 52C22 68U07 PDFBibTeX XMLCite \textit{A. Mazzucchi}, Nexus Netw. J. 20, No. 1, 41--57 (2018; Zbl 1398.00051) Full Text: DOI
Schattschneider, Doris Marjorie Rice and the MAA tiling. (English) Zbl 1395.00027 J. Math. Arts 12, No. 2-3, 114-127 (2018). MSC: 00A66 05B45 PDFBibTeX XMLCite \textit{D. Schattschneider}, J. Math. Arts 12, No. 2--3, 114--127 (2018; Zbl 1395.00027) Full Text: DOI
Wu, Jiangmei Folding helical triangle tessellations into light art. (English) Zbl 1391.00042 J. Math. Arts 12, No. 1, 19-33 (2018). MSC: 00A66 PDFBibTeX XMLCite \textit{J. Wu}, J. Math. Arts 12, No. 1, 19--33 (2018; Zbl 1391.00042) Full Text: DOI
Wichmann, Brian; Wade, David Islamic design: a mathematical approach. (English) Zbl 1448.01002 Mathematics and the Built Environment 2. Cham: Birkhäuser (ISBN 978-3-319-69976-9/hbk; 978-3-319-69977-6/ebook). xii, 226 p. (2017). Reviewer: Mowaffaq Hajja (Amman) MSC: 01-02 01A30 00A66 51-03 05-03 PDFBibTeX XMLCite \textit{B. Wichmann} and \textit{D. Wade}, Islamic design: a mathematical approach. Cham: Birkhäuser (2017; Zbl 1448.01002) Full Text: DOI
Kastine, Jeremy; Montiel, Mariana The S-canon and the multi-S-canon: an introduction. (English) Zbl 1354.00058 J. Math. Music 10, No. 3, 211-225 (2016). MSC: 00A65 43A46 05B45 PDFBibTeX XMLCite \textit{J. Kastine} and \textit{M. Montiel}, J. Math. Music 10, No. 3, 211--225 (2016; Zbl 1354.00058) Full Text: DOI
DiLeonardo-Parker, Benjamin Six simple twists. The pleat pattern approach to origami tessellation design. (English) Zbl 1321.05001 Boca Raton, FL: CRC Press (ISBN 978-1-4822-4461-8/pbk). 118 p. (2016). MSC: 05-01 05B45 52C20 52C22 00A08 PDFBibTeX XMLCite \textit{B. DiLeonardo-Parker}, Six simple twists. The pleat pattern approach to origami tessellation design. Boca Raton, FL: CRC Press (2016; Zbl 1321.05001)
Akiyama, Jin; Matsunaga, Kiyoko Treks into intuitive geometry. The world of polygons and polyhedra. (English) Zbl 1339.52001 Tokyo: Springer (ISBN 978-4-431-55841-5/hbk; 978-4-431-55843-9/ebook). xv, 425 p. (2015). Reviewer: Matthieu Jacquemet (Nashville) MSC: 52-01 52Bxx 00A09 05B45 00A66 00A67 PDFBibTeX XMLCite \textit{J. Akiyama} and \textit{K. Matsunaga}, Treks into intuitive geometry. The world of polygons and polyhedra. Tokyo: Springer (2015; Zbl 1339.52001) Full Text: DOI
Barej, Martin; Hoffmann, Susanne; Knief, Christian; Trautz, Martin; Corves, Burkhard Design and application studies for a cupola forming orbital arrangement of Miura-Ori basic units. (English) Zbl 1326.51013 J. Geom. Graph. 19, No. 1, 43-55 (2015). MSC: 51M20 00A67 51M04 PDFBibTeX XMLCite \textit{M. Barej} et al., J. Geom. Graph. 19, No. 1, 43--55 (2015; Zbl 1326.51013) Full Text: Link
Vörös, László Helical structure of space-filling mosaics based on 3D models of the 5D and 6D cubes. (English) Zbl 1372.52014 Kovács, Emőd (ed.) et al., Proceedings of the 9th international conference on applied informatics (ICAI), Eger, Hungary, January 29 – February 1, 2014. Volume 1. Eger: Eszterhazy Karoly University of Applied Sciences (ISBN 978-615-5297-18-2). 141-149 (2014). MSC: 52B10 00A66 52B15 68U07 PDFBibTeX XMLCite \textit{L. Vörös}, in: Proceedings of the 9th international conference on applied informatics (ICAI), Eger, Hungary, January 29 -- February 1, 2014. Volume 1. Eger: Eszterhazy Karoly University of Applied Sciences. 141--149 (2014; Zbl 1372.52014) Full Text: DOI
Irvine, Veronika; Ruskey, Frank Developing a mathematical model for bobbin lace. (English) Zbl 1326.00033 J. Math. Arts 8, No. 3-4, 95-110 (2014). MSC: 00A66 00A06 05B45 05C63 05C20 PDFBibTeX XMLCite \textit{V. Irvine} and \textit{F. Ruskey}, J. Math. Arts 8, No. 3--4, 95--110 (2014; Zbl 1326.00033) Full Text: DOI arXiv
Gethner, Ellen; Kirkpatrick, David G.; Pippenger, Nicholas J. Computational aspects of M. C. Escher’s ribbon patterns. (English) Zbl 1303.68089 Theory Comput. Syst. 54, No. 4, 640-658 (2014). MSC: 68R05 05B45 68U05 52C20 00A66 PDFBibTeX XMLCite \textit{E. Gethner} et al., Theory Comput. Syst. 54, No. 4, 640--658 (2014; Zbl 1303.68089) Full Text: DOI
Piovan, Luis A. A Tonnetz model for pentachords. (English) Zbl 1327.00023 J. Math. Music 7, No. 1, 29-53 (2013). MSC: 00A65 PDFBibTeX XMLCite \textit{L. A. Piovan}, J. Math. Music 7, No. 1, 29--53 (2013; Zbl 1327.00023) Full Text: DOI arXiv
Čuljak, Maria Isometries in Escher’s work. (Croatian. English summary) Zbl 1302.00057 KoG 17, 65-70 (2013). MSC: 00A66 05B45 20H15 51F15 52C20 97M80 PDFBibTeX XMLCite \textit{M. Čuljak}, KoG 17, 65--70 (2013; Zbl 1302.00057)
Bovill, Carl Using Christopher Alexander’s fifteen properties of art and nature to visually compare and contrast the tessellations of Mirza Akbar. (English) Zbl 1298.00051 Nexus Netw. J. 14, No. 2, 333-343 (2012). MSC: 00A67 00A66 05B45 PDFBibTeX XMLCite \textit{C. Bovill}, Nexus Netw. J. 14, No. 2, 333--343 (2012; Zbl 1298.00051) Full Text: DOI
Fisher, Gwen L.; Mellor, Blake Using tiling theory to generate angle weaves with beads. (English) Zbl 1288.00047 J. Math. Arts 6, No. 4, 141-158 (2012). MSC: 00A66 52C20 PDFBibTeX XMLCite \textit{G. L. Fisher} and \textit{B. Mellor}, J. Math. Arts 6, No. 4, 141--158 (2012; Zbl 1288.00047) Full Text: DOI
Wang-Iverson, Patsy (ed.); Lang, Robert J. (ed.); Yim, Mark (ed.) Origami 5: Fifth international meeting of origami science, mathematics, and education (5OSME), Singapore, July 13–17, 2010. Proceedings. (English) Zbl 1235.00051 Boca Raton, FL: CRC Press (ISBN 978-1-56881-714-9/pbk; 978-1-138-44228-3/hbk; 978-1-43987-350-2/ebook). xiv, 646 p. (2011). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 00B25 52-06 51-06 97-06 52C25 52C20 52C15 57M99 PDFBibTeX XMLCite \textit{P. Wang-Iverson} (ed.) et al., Origami 5: Fifth international meeting of origami science, mathematics, and education (5OSME), Singapore, July 13--17, 2010. Proceedings. Boca Raton, FL: CRC Press (2011; Zbl 1235.00051) Full Text: Link
Gage, Jenny Reality maths: mathematics lessons from regular floor tiling. (English) Zbl 1186.00020 J. Math. Arts 3, No. 3, 135-142 (2009). MSC: 00A35 97D99 05B45 52C20 PDFBibTeX XMLCite \textit{J. Gage}, J. Math. Arts 3, No. 3, 135--142 (2009; Zbl 1186.00020) Full Text: DOI
Robinson, Thamburaj Extended pasting scheme for kolam pattern generation. (English) Zbl 1474.52048 Forma 22, No. 1, 55-64 (2007). MSC: 52C99 68Q45 00A66 PDFBibTeX XMLCite \textit{T. Robinson}, Forma 22, No. 1, 55--64 (2007; Zbl 1474.52048)
Lu, Peter J.; Steinhardt, Paul J. Decagonal and quasi-crystalline tilings in medieval Islamic architecture. (English) Zbl 1226.00028 Science 315, No. 5815, 1106-1110 (2007). MSC: 00A67 01A30 05B45 52C23 PDFBibTeX XMLCite \textit{P. J. Lu} and \textit{P. J. Steinhardt}, Science 315, No. 5815, 1106--1110 (2007; Zbl 1226.00028) Full Text: DOI
Amiot, Emmanuel Rhythmic canons and Galois theory. (English) Zbl 1137.05021 Grazer Math. Ber. 347, 1-33 (2005). MSC: 05B45 05E20 00A69 33C80 11B83 PDFBibTeX XMLCite \textit{E. Amiot}, Grazer Math. Ber. 347, 1--33 (2005; Zbl 1137.05021)
Austin, David Up and down the tiles. (English) Zbl 1101.00301 Notices Am. Math. Soc. 52, No. 6, 600-601 (2005). MSC: 00A08 05B45 PDFBibTeX XMLCite \textit{D. Austin}, Notices Am. Math. Soc. 52, No. 6, 600--601 (2005; Zbl 1101.00301)
Pickover, Clifford A. (ed.) The pattern book: fractals, art, and nature. (English) Zbl 0896.00010 Singapore: World Scientific. xxix, 427 p. (1995). Reviewer: K. Reich (Wentorf) MSC: 00A99 28A80 26-03 30-03 68Q80 05B45 01A60 PDFBibTeX XMLCite \textit{C. A. Pickover} (ed.), The pattern book: fractals, art, and nature. Singapore: World Scientific (1995; Zbl 0896.00010)
Ogawa, Tohru Several artistic attempts by a physicist: fractal tessellations of spherical surface and multi-axes-construction of rods. (English) Zbl 1474.00016 Forma 9, No. 3, 273-280 (1994). MSC: 00A66 PDFBibTeX XMLCite \textit{T. Ogawa}, Forma 9, No. 3, 273--280 (1994; Zbl 1474.00016)
Golomb, Solomon W. Polyominoes: puzzles, patterns, problems, and packings. 2nd, rev. and exp. ed. (English) Zbl 0831.05020 Princeton, NJ: Princeton University Press. xii, 184 p. (1994). Reviewer: Frank De Clerck (Gent) MSC: 05B50 05-01 05B45 00A08 PDFBibTeX XMLCite \textit{S. W. Golomb}, Polyominoes: puzzles, patterns, problems, and packings. 2nd, rev. and exp. ed. Princeton, NJ: Princeton University Press (1994; Zbl 0831.05020)
Bigalke, Hans-Günther; Wippermann, Heinrich Regular tilings. With applications in crystallography, industry, building industry, design and art. (Reguläre Parkettierungen. Mit Anwendungen in Kristallographie, Industrie, Baugewerbe, Design und Kunst.) (German) Zbl 0805.52002 Mannheim: B.I. Wissenschaftsverlag. 459 S. DM 68.00; öS 531.00; sFr 68.00/hbk (1994). Reviewer: P.Schmitt (Wien) MSC: 52-02 52C20 52C22 82D25 05B45 05-02 51M20 00A06 00A69 20H15 PDFBibTeX XMLCite \textit{H.-G. Bigalke} and \textit{H. Wippermann}, Reguläre Parkettierungen. Mit Anwendungen in Kristallographie, Industrie, Baugewerbe, Design und Kunst. Mannheim: B.I. Wissenschaftsverlag (1994; Zbl 0805.52002)
Martin, George E. Polyominoes: a guide to puzzles and problems in tiling. (English) Zbl 0828.00002 MAA Spectrum. Washington, DC: Mathematical Association of America. x, 184 p. (1991). Reviewer: D.Singmaster (London) (MR 93d:00006) MSC: 00A08 05B45 05-01 05B50 52C20 PDFBibTeX XMLCite \textit{G. E. Martin}, Polyominoes: a guide to puzzles and problems in tiling. Washington, DC: Mathematical Association of America (1991; Zbl 0828.00002)
Emmer, Michele (ed.) [Schattschneider, Doris; Coxeter, H. S. M.; Senechal, M.; Shephard, G. C.] M. C. Escher special. (Papers dedicated to M. C. Escher). (English) Zbl 0658.52001 Topologie Structurale. Structural Topology, No. 15. Special Issue. Montréal: La revue Topologie Structurale, Université du Québec à Montrèal. 78 p. (1988). Reviewer: J.M.Wills MSC: 52-06 05B45 05B30 51N30 52C17 00Bxx PDFBibTeX XML
Grünbaum, Branko; Shephard, Geoffrey C. Some remarks on mathematical taxonomy. (English) Zbl 0464.05003 Diskrete Geometrie, 2. Kolloq., Inst. Math. Univ. Salzburg 1980, 179-188 (1980). MSC: 05A15 00A30 05B45 PDFBibTeX XML
Wetzel, John E. On the division of the plane by lines. (English) Zbl 0398.52001 Am. Math. Mon. 85, 647-656 (1978). MSC: 52A37 52A40 05B45 00A30 PDFBibTeX XMLCite \textit{J. E. Wetzel}, Am. Math. Mon. 85, 647--656 (1978; Zbl 0398.52001) Full Text: DOI
[Descartes, B.; Deza, M.; Erdős, Paul; Eggleton, R. B.; Holton, D. A.; Hartman, A.; Nason, D.; Straus, E. G.] Problems. (English) Zbl 0386.05001 Comb. Math., Proc. int. Conf., Canberra 1977, Lect. Notes Math. 686, 346-349 (1978). MSC: 05-XX 05C99 05B35 05B99 05B30 05B45 05C35 05B20 05B15 00A07 PDFBibTeX XML
Golomb, Solomon W. Yaglom, I. M. (ed.) Polyominoes. Translation from the English by V. Firsov. Edited and preface by I. Yaglom. (Полимино.) (Russian) Zbl 0326.05025 Moskva: Izdat. ’Mir’. 207 pp. R 0.46 (1975); translation from New York: Charles Scribner’s Sons (1965). Reviewer: M. Stefanescu MSC: 05B50 05-01 05B45 00A08 91A99 05B99 PDFBibTeX XML