Kite (geometry) (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Kite (geometry)" in English language version.

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23doi.org

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18ams.org

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5arxiv.org

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mathscinet.ams.org

Goormaghtigh, R. (1947), "Orthopolar and isopolar lines in the cyclic quadrilateral", The American Mathematical Monthly, 54 (4): 211–214, doi:10.1080/00029890.1947.11991815, JSTOR 2304700, MR 0019934
See H. S. M. Coxeter's review of Grünbaum (1960) in MR0125489: "It is unfortunate that the author uses, instead of 'kite', the name 'deltoid', which belongs more properly to a curve, the three-cusped hypocycloid."
Charter, Kevin; Rogers, Thomas (1993), "The dynamics of quadrilateral folding", Experimental Mathematics, 2 (3): 209–222, doi:10.1080/10586458.1993.10504278, MR 1273409
Thurston, William P. (1998), "Shapes of polyhedra and triangulations of the sphere", in Rivin, Igor; Rourke, Colin; Series, Caroline (eds.), The Epstein birthday schrift, Geometry & Topology Monographs, vol. 1, Coventry: Mathematical Sciences Publishers, pp. 511–549, arXiv:math/9801088, doi:10.2140/gtm.1998.1.511, MR 1668340
Haruki, Hiroshi; Rassias, Themistocles M. (1998), "A new characteristic of Möbius transformations by use of Apollonius quadrilaterals", Proceedings of the American Mathematical Society, 126 (10): 2857–2861, doi:10.1090/S0002-9939-98-04736-4, JSTOR 119083, MR 1485479
Alsina, Claudi; Nelsen, Roger B. (2020), "Section 3.4: Kites", A Cornucopia of Quadrilaterals, The Dolciani Mathematical Expositions, vol. 55, Providence, Rhode Island: MAA Press and American Mathematical Society, pp. 73–78, ISBN 978-1-4704-5312-1, MR 4286138; see also antiparallelograms, p. 212
Josefsson, Martin (2012), "Maximal area of a bicentric quadrilateral" (PDF), Forum Geometricorum, 12: 237–241, MR 2990945, archived from the original (PDF) on 2016-10-07, retrieved 2014-04-11
Audet, Charles; Hansen, Pierre; Svrtan, Dragutin (2021), "Using symbolic calculations to determine largest small polygons", Journal of Global Optimization, 81 (1): 261–268, doi:10.1007/s10898-020-00908-w, MR 4299185
Kirby, Matthew; Umble, Ronald (2011), "Edge tessellations and stamp folding puzzles", Mathematics Magazine, 84 (4): 283–289, arXiv:0908.3257, doi:10.4169/math.mag.84.4.283, MR 2843659
Kasimatis, Elaine A.; Stein, Sherman K. (December 1990), "Equidissections of polygons", Discrete Mathematics, 85 (3): 281–294, doi:10.1016/0012-365X(90)90384-T, MR 1081836, Zbl 0736.05028
Jepsen, Charles H.; Sedberry, Trevor; Hoyer, Rolf (2009), "Equidissections of kite-shaped quadrilaterals" (PDF), Involve: A Journal of Mathematics, 2 (1): 89–93, doi:10.2140/involve.2009.2.89, MR 2501347
Bern, Marshall; Eppstein, David (2000), "Quadrilateral meshing by circle packing", International Journal of Computational Geometry and Applications, 10 (4): 347–360, arXiv:cs.CG/9908016, doi:10.1142/S0218195900000206, MR 1791192
Schattschneider, Doris (1993), "The fascination of tiling", in Emmer, Michele (ed.), The Visual Mind: Art and Mathematics, Leonardo Book Series, Cambridge, Massachusetts: MIT Press, pp. 157–164, ISBN 0-262-05048-X, MR 1255846
Chazelle, Bernard; Karntikoon, Kritkorn; Zheng, Yufei (2022), "A geometric approach to inelastic collapse", Journal of Computational Geometry, 13 (1): 197–203, doi:10.20382/jocg.v13i1a7, MR 4414332
Grünbaum, B. (1960), "On polyhedra in $E^{3}$ having all faces congruent", Bulletin of the Research Council of Israel, 8F: 215–218 (1960), MR 0125489
Sakano, Yudai; Akama, Yohji (2015), "Anisohedral spherical triangles and classification of spherical tilings by congruent kites, darts and rhombi", Hiroshima Mathematical Journal, 45 (3): 309–339, doi:10.32917/hmj/1448323768, MR 3429167
Schwartz, Richard Evan (2007), "Unbounded orbits for outer billiards, I", Journal of Modern Dynamics, 1 (3): 371–424, arXiv:math/0702073, doi:10.3934/jmd.2007.1.371, MR 2318496
Schwartz, Richard Evan (2009), Outer Billiards on Kites, Annals of Mathematics Studies, vol. 171, Princeton, New Jersey: Princeton University Press, doi:10.1515/9781400831975, ISBN 978-0-691-14249-4, MR 2562898

archive.org

Halsted, George Bruce (1896), "Chapter XIV. Symmetrical Quadrilaterals", Elementary Synthetic Geometry, J. Wiley & sons, pp. 49–53
Henrici, Olaus (1879), Elementary Geometry: Congruent Figures, Longmans, Green, p. xiv

arxiv.org

Thurston, William P. (1998), "Shapes of polyhedra and triangulations of the sphere", in Rivin, Igor; Rourke, Colin; Series, Caroline (eds.), The Epstein birthday schrift, Geometry & Topology Monographs, vol. 1, Coventry: Mathematical Sciences Publishers, pp. 511–549, arXiv:math/9801088, doi:10.2140/gtm.1998.1.511, MR 1668340
Kirby, Matthew; Umble, Ronald (2011), "Edge tessellations and stamp folding puzzles", Mathematics Magazine, 84 (4): 283–289, arXiv:0908.3257, doi:10.4169/math.mag.84.4.283, MR 2843659
Smith, David; Myers, Joseph Samuel; Kaplan, Craig S.; Goodman-Strauss, Chaim (2024), "An aperiodic monotile", Combinatorial Theory, 4, arXiv:2303.10798, doi:10.5070/C64163843
Bern, Marshall; Eppstein, David (2000), "Quadrilateral meshing by circle packing", International Journal of Computational Geometry and Applications, 10 (4): 347–360, arXiv:cs.CG/9908016, doi:10.1142/S0218195900000206, MR 1791192
Schwartz, Richard Evan (2007), "Unbounded orbits for outer billiards, I", Journal of Modern Dynamics, 1 (3): 371–424, arXiv:math/0702073, doi:10.3934/jmd.2007.1.371, MR 2318496

books.google.com

Szecsei, Denise (2004), The Complete Idiot's Guide to Geometry, Penguin, pp. 290–291, ISBN 9781592571833
Alexander, Daniel C.; Koeberlein, Geralyn M. (2014), Elementary Geometry for College Students (6th ed.), Cengage Learning, pp. 180–181, ISBN 9781285965901
Liberman, Anatoly (2009), Word Origins...And How We Know Them: Etymology for Everyone, Oxford University Press, p. 17, ISBN 9780195387070
Alsina, Claudi; Nelsen, Roger B. (2020), "Section 3.4: Kites", A Cornucopia of Quadrilaterals, The Dolciani Mathematical Expositions, vol. 55, Providence, Rhode Island: MAA Press and American Mathematical Society, pp. 73–78, ISBN 978-1-4704-5312-1, MR 4286138; see also antiparallelograms, p. 212
Darling, David (2004), The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes, John Wiley & Sons, p. 260, ISBN 9780471667001
Eves, Howard Whitley (1995), College Geometry, Jones & Bartlett Learning, p. 245, ISBN 9780867204759

bridgesmathart.org

archive.bridgesmathart.org

Fathauer, Robert (2018), "Art and recreational math based on kite-tiling rosettes", in Torrence, Eve; Torrence, Bruce; Séquin, Carlo; Fenyvesi, Kristóf (eds.), Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture, Phoenix, Arizona: Tessellations Publishing, pp. 15–22, ISBN 978-1-938664-27-4

doi.org

Goormaghtigh, R. (1947), "Orthopolar and isopolar lines in the cyclic quadrilateral", The American Mathematical Monthly, 54 (4): 211–214, doi:10.1080/00029890.1947.11991815, JSTOR 2304700, MR 0019934
Charter, Kevin; Rogers, Thomas (1993), "The dynamics of quadrilateral folding", Experimental Mathematics, 2 (3): 209–222, doi:10.1080/10586458.1993.10504278, MR 1273409
Gardner, Martin (January 1977), "Extraordinary nonperiodic tiling that enriches the theory of tiles", Mathematical Games, Scientific American, vol. 236, no. 1, pp. 110–121, Bibcode:1977SciAm.236a.110G, doi:10.1038/scientificamerican0177-110, JSTOR 24953856
Thurston, William P. (1998), "Shapes of polyhedra and triangulations of the sphere", in Rivin, Igor; Rourke, Colin; Series, Caroline (eds.), The Epstein birthday schrift, Geometry & Topology Monographs, vol. 1, Coventry: Mathematical Sciences Publishers, pp. 511–549, arXiv:math/9801088, doi:10.2140/gtm.1998.1.511, MR 1668340
Beamer, James E. (May 1975), "The tale of a kite", The Arithmetic Teacher, 22 (5): 382–386, doi:10.5951/at.22.5.0382, JSTOR 41188788
Suay, Juan Miguel; Teira, David (2014), "Kites: the rise and fall of a scientific object" (PDF), Nuncius, 29 (2): 439–463, doi:10.1163/18253911-02902004
Haruki, Hiroshi; Rassias, Themistocles M. (1998), "A new characteristic of Möbius transformations by use of Apollonius quadrilaterals", Proceedings of the American Mathematical Society, 126 (10): 2857–2861, doi:10.1090/S0002-9939-98-04736-4, JSTOR 119083, MR 1485479
Gant, P. (1944), "A note on quadrilaterals", The Mathematical Gazette, 28 (278): 29–30, doi:10.2307/3607362, JSTOR 3607362
Ball, D. G. (1973), "A generalisation of $\pi$ ", The Mathematical Gazette, 57 (402): 298–303, doi:10.2307/3616052, JSTOR 3616052
Griffiths, David; Culpin, David (1975), "Pi-optimal polygons", The Mathematical Gazette, 59 (409): 165–175, doi:10.2307/3617699, JSTOR 3617699
Audet, Charles; Hansen, Pierre; Svrtan, Dragutin (2021), "Using symbolic calculations to determine largest small polygons", Journal of Global Optimization, 81 (1): 261–268, doi:10.1007/s10898-020-00908-w, MR 4299185
Kirby, Matthew; Umble, Ronald (2011), "Edge tessellations and stamp folding puzzles", Mathematics Magazine, 84 (4): 283–289, arXiv:0908.3257, doi:10.4169/math.mag.84.4.283, MR 2843659
Smith, David; Myers, Joseph Samuel; Kaplan, Craig S.; Goodman-Strauss, Chaim (2024), "An aperiodic monotile", Combinatorial Theory, 4, arXiv:2303.10798, doi:10.5070/C64163843
Wheeler, Roger F. (1958), "Quadrilaterals", The Mathematical Gazette, 42 (342): 275–276, doi:10.2307/3610439, JSTOR 3610439
Robertson, S. A. (1977), "Classifying triangles and quadrilaterals", The Mathematical Gazette, 61 (415): 38–49, doi:10.2307/3617441, JSTOR 3617441
Kasimatis, Elaine A.; Stein, Sherman K. (December 1990), "Equidissections of polygons", Discrete Mathematics, 85 (3): 281–294, doi:10.1016/0012-365X(90)90384-T, MR 1081836, Zbl 0736.05028
Jepsen, Charles H.; Sedberry, Trevor; Hoyer, Rolf (2009), "Equidissections of kite-shaped quadrilaterals" (PDF), Involve: A Journal of Mathematics, 2 (1): 89–93, doi:10.2140/involve.2009.2.89, MR 2501347
Bern, Marshall; Eppstein, David (2000), "Quadrilateral meshing by circle packing", International Journal of Computational Geometry and Applications, 10 (4): 347–360, arXiv:cs.CG/9908016, doi:10.1142/S0218195900000206, MR 1791192
Chazelle, Bernard; Karntikoon, Kritkorn; Zheng, Yufei (2022), "A geometric approach to inelastic collapse", Journal of Computational Geometry, 13 (1): 197–203, doi:10.20382/jocg.v13i1a7, MR 4414332
Sakano, Yudai; Akama, Yohji (2015), "Anisohedral spherical triangles and classification of spherical tilings by congruent kites, darts and rhombi", Hiroshima Mathematical Journal, 45 (3): 309–339, doi:10.32917/hmj/1448323768, MR 3429167
Dunham, Douglas; Lindgren, John; Witte, Dave (1981), "Creating repeating hyperbolic patterns", in Green, Doug; Lucido, Tony; Fuchs, Henry (eds.), Proceedings of the 8th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 1981, Dallas, Texas, USA, August 3–7, 1981, Association for Computing Machinery, pp. 215–223, doi:10.1145/800224.806808, ISBN 0-89791-045-1
Schwartz, Richard Evan (2007), "Unbounded orbits for outer billiards, I", Journal of Modern Dynamics, 1 (3): 371–424, arXiv:math/0702073, doi:10.3934/jmd.2007.1.371, MR 2318496
Schwartz, Richard Evan (2009), Outer Billiards on Kites, Annals of Mathematics Studies, vol. 171, Princeton, New Jersey: Princeton University Press, doi:10.1515/9781400831975, ISBN 978-0-691-14249-4, MR 2562898

fau.edu

forumgeom.fau.edu

Josefsson, Martin (2012), "Maximal area of a bicentric quadrilateral" (PDF), Forum Geometricorum, 12: 237–241, MR 2990945, archived from the original (PDF) on 2016-10-07, retrieved 2014-04-11
Josefsson, Martin (2011), "When is a tangential quadrilateral a kite?" (PDF), Forum Geometricorum, 11: 165–174, archived from the original (PDF) on 2022-10-17, retrieved 2022-08-29

gerad.ca

Audet, Charles; Hansen, Pierre; Svrtan, Dragutin (2021), "Using symbolic calculations to determine largest small polygons", Journal of Global Optimization, 81 (1): 261–268, doi:10.1007/s10898-020-00908-w, MR 4299185

harvard.edu

ui.adsabs.harvard.edu

Gardner, Martin (January 1977), "Extraordinary nonperiodic tiling that enriches the theory of tiles", Mathematical Games, Scientific American, vol. 236, no. 1, pp. 110–121, Bibcode:1977SciAm.236a.110G, doi:10.1038/scientificamerican0177-110, JSTOR 24953856

jhu.edu

muse.jhu.edu

Schattschneider, Doris (1993), "The fascination of tiling", in Emmer, Michele (ed.), The Visual Mind: Art and Mathematics, Leonardo Book Series, Cambridge, Massachusetts: MIT Press, pp. 157–164, ISBN 0-262-05048-X, MR 1255846

jstor.org

Goormaghtigh, R. (1947), "Orthopolar and isopolar lines in the cyclic quadrilateral", The American Mathematical Monthly, 54 (4): 211–214, doi:10.1080/00029890.1947.11991815, JSTOR 2304700, MR 0019934
Gardner, Martin (January 1977), "Extraordinary nonperiodic tiling that enriches the theory of tiles", Mathematical Games, Scientific American, vol. 236, no. 1, pp. 110–121, Bibcode:1977SciAm.236a.110G, doi:10.1038/scientificamerican0177-110, JSTOR 24953856
Beamer, James E. (May 1975), "The tale of a kite", The Arithmetic Teacher, 22 (5): 382–386, doi:10.5951/at.22.5.0382, JSTOR 41188788
De Villiers, Michael (February 1994), "The role and function of a hierarchical classification of quadrilaterals", For the Learning of Mathematics, 14 (1): 11–18, JSTOR 40248098
Haruki, Hiroshi; Rassias, Themistocles M. (1998), "A new characteristic of Möbius transformations by use of Apollonius quadrilaterals", Proceedings of the American Mathematical Society, 126 (10): 2857–2861, doi:10.1090/S0002-9939-98-04736-4, JSTOR 119083, MR 1485479
Gant, P. (1944), "A note on quadrilaterals", The Mathematical Gazette, 28 (278): 29–30, doi:10.2307/3607362, JSTOR 3607362
Ball, D. G. (1973), "A generalisation of $\pi$ ", The Mathematical Gazette, 57 (402): 298–303, doi:10.2307/3616052, JSTOR 3616052
Griffiths, David; Culpin, David (1975), "Pi-optimal polygons", The Mathematical Gazette, 59 (409): 165–175, doi:10.2307/3617699, JSTOR 3617699
Wheeler, Roger F. (1958), "Quadrilaterals", The Mathematical Gazette, 42 (342): 275–276, doi:10.2307/3610439, JSTOR 3610439
Robertson, S. A. (1977), "Classifying triangles and quadrilaterals", The Mathematical Gazette, 61 (415): 38–49, doi:10.2307/3617441, JSTOR 3617441

math.ca

cms.math.ca

"OC506" (PDF), Olympiad Corner Solutions, Crux Mathematicorum, 47 (5): 241, May 2021

msp.org

Jepsen, Charles H.; Sedberry, Trevor; Hoyer, Rolf (2009), "Equidissections of kite-shaped quadrilaterals" (PDF), Involve: A Journal of Mathematics, 2 (1): 89–93, doi:10.2140/involve.2009.2.89, MR 2501347

pitt.edu

philsci-archive.pitt.edu

Suay, Juan Miguel; Teira, David (2014), "Kites: the rise and fall of a scientific object" (PDF), Nuncius, 29 (2): 439–463, doi:10.1163/18253911-02902004

projecteuclid.org

Charter, Kevin; Rogers, Thomas (1993), "The dynamics of quadrilateral folding", Experimental Mathematics, 2 (3): 209–222, doi:10.1080/10586458.1993.10504278, MR 1273409
Sakano, Yudai; Akama, Yohji (2015), "Anisohedral spherical triangles and classification of spherical tilings by congruent kites, darts and rhombi", Hiroshima Mathematical Journal, 45 (3): 309–339, doi:10.32917/hmj/1448323768, MR 3429167

researchgate.net

De Villiers, Michael (2009), Some Adventures in Euclidean Geometry, Dynamic Mathematics Learning, pp. 16, 55, ISBN 978-0-557-10295-2

web.archive.org

Josefsson, Martin (2012), "Maximal area of a bicentric quadrilateral" (PDF), Forum Geometricorum, 12: 237–241, MR 2990945, archived from the original (PDF) on 2016-10-07, retrieved 2014-04-11
Josefsson, Martin (2011), "When is a tangential quadrilateral a kite?" (PDF), Forum Geometricorum, 11: 165–174, archived from the original (PDF) on 2022-10-17, retrieved 2022-08-29

zbmath.org

Kasimatis, Elaine A.; Stein, Sherman K. (December 1990), "Equidissections of polygons", Discrete Mathematics, 85 (3): 281–294, doi:10.1016/0012-365X(90)90384-T, MR 1081836, Zbl 0736.05028