Pentagonal tiling (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Pentagonal tiling" in English language version.

refsWebsite

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10doi.org

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7ams.org

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6worldcat.org

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4arxiv.org

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3semanticscholar.org

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2quantamagazine.org

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2web.archive.org

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2jstor.org

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2maa.org

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2harvard.edu

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2uni-goettingen.de

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1archive.org

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1ens-lyon.fr

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1github.com

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1sites.google.com

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1theguardian.com

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1core.ac.uk

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1wolframalpha.com

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1beloit.edu

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ams.org (Global: 451^st place; English: 277^th place)

mathscinet.ams.org

Grünbaum & Shephard 1987, Sec. 9.3 Other Monohedral tilings by convex polygons. Grünbaum, Branko; Shephard, Geoffrey C. (1987), "Tilings by polygons", Tilings and Patterns, New York: W. H. Freeman and Company, ISBN 978-0-7167-1193-3, MR 0857454
Schattschneider 1978. Schattschneider, Doris (1978), "Tiling the plane with congruent pentagons", Mathematics Magazine, 51 (1): 29–44, doi:10.2307/2689644, ISSN 0025-570X, JSTOR 2689644, MR 0493766, archived from the original on 2023-12-11, retrieved 2015-10-26
Schattschneider 1978, Fig 12. Schattschneider, Doris (1978), "Tiling the plane with congruent pentagons", Mathematics Magazine, 51 (1): 29–44, doi:10.2307/2689644, ISSN 0025-570X, JSTOR 2689644, MR 0493766, archived from the original on 2023-12-11, retrieved 2015-10-26
Hirschhorn & Hunt 1985. Hirschhorn, M. D.; Hunt, D. C. (1985), "Equilateral convex pentagons which tile the plane" (PDF), Journal of Combinatorial Theory, Series A, 39 (1): 1–18, doi:10.1016/0097-3165(85)90078-0, ISSN 1096-0899, MR 0787713, retrieved 2020-10-30
Godrèche 1989. Godrèche, C. (1989), "The sphinx: a limit-periodic tiling of the plane", Journal of Physics A: Mathematical and General, 22 (24): L1163 – L1166, Bibcode:1989JPhA...22L1163G, doi:10.1088/0305-4470/22/24/006, MR 1030678
Frettlöh, Dirk; Garber, Alexey (2015), "Symmetries of monocoronal tilings", Discrete Mathematics & Theoretical Computer Science, 17 (2): 203–234, arXiv:1402.4658, doi:10.46298/dmtcs.2142, MR 3411398

ams.org

Chung, Ping Ngai; Fernandez, Miguel A.; Li, Yifei; Mara, Michael; Morgan, Frank; Plata, Isamar Rosa; Shah, Nirlee; Vieira, Luis Sordo; Wikner, Elena (2012-05-01), "Isoperimetric Pentagonal Tilings", Notices of the American Mathematical Society, 59 (5): 632, arXiv:1111.6161, doi:10.1090/noti838, ISSN 0002-9920

archive.org (Global: 6^th place; English: 6^th place)

Grünbaum & Shephard 1987, Sec. 9.3 Other Monohedral tilings by convex polygons. Grünbaum, Branko; Shephard, Geoffrey C. (1987), "Tilings by polygons", Tilings and Patterns, New York: W. H. Freeman and Company, ISBN 978-0-7167-1193-3, MR 0857454

arxiv.org (Global: 69^th place; English: 59^th place)

Chung, Ping Ngai; Fernandez, Miguel A.; Li, Yifei; Mara, Michael; Morgan, Frank; Plata, Isamar Rosa; Shah, Nirlee; Vieira, Luis Sordo; Wikner, Elena (2012-05-01), "Isoperimetric Pentagonal Tilings", Notices of the American Mathematical Society, 59 (5): 632, arXiv:1111.6161, doi:10.1090/noti838, ISSN 0002-9920
Rao 2017. Rao, Michaël (2017), Exhaustive search of convex pentagons which tile the plane (PDF), arXiv:1708.00274
Klaassen 2016. Klaassen, Bernhard (2016), "Rotationally symmetric tilings with convex pentagons and hexagons", Elemente der Mathematik, 71 (4): 137–144, arXiv:1509.06297, doi:10.4171/em/310, ISSN 0013-6018, S2CID 119738738
Frettlöh, Dirk; Garber, Alexey (2015), "Symmetries of monocoronal tilings", Discrete Mathematics & Theoretical Computer Science, 17 (2): 203–234, arXiv:1402.4658, doi:10.46298/dmtcs.2142, MR 3411398

beloit.edu (Global: low place; English: low place)

Chavey 1989. Chavey, D. (1989), "Tilings by Regular Polygons—II: A Catalog of Tilings", Computers & Mathematics with Applications, 17 (1–3): 147–165, doi:10.1016/0898-1221(89)90156-9

core.ac.uk (Global: 1,734^th place; English: 1,312^th place)

Hirschhorn & Hunt 1985. Hirschhorn, M. D.; Hunt, D. C. (1985), "Equilateral convex pentagons which tile the plane" (PDF), Journal of Combinatorial Theory, Series A, 39 (1): 1–18, doi:10.1016/0097-3165(85)90078-0, ISSN 1096-0899, MR 0787713, retrieved 2020-10-30

doi.org (Global: 2^nd place; English: 2^nd place)

Chung, Ping Ngai; Fernandez, Miguel A.; Li, Yifei; Mara, Michael; Morgan, Frank; Plata, Isamar Rosa; Shah, Nirlee; Vieira, Luis Sordo; Wikner, Elena (2012-05-01), "Isoperimetric Pentagonal Tilings", Notices of the American Mathematical Society, 59 (5): 632, arXiv:1111.6161, doi:10.1090/noti838, ISSN 0002-9920
Grünbaum & Shephard 1978. Grünbaum, Branko; Shephard, Geoffrey C. (1978), "Isohedral tilings of the plane by polygons", Commentarii Mathematici Helvetici, 53: 542–571, doi:10.1007/bf02566098, ISSN 0010-2571, S2CID 119897404
Schattschneider 1978. Schattschneider, Doris (1978), "Tiling the plane with congruent pentagons", Mathematics Magazine, 51 (1): 29–44, doi:10.2307/2689644, ISSN 0025-570X, JSTOR 2689644, MR 0493766, archived from the original on 2023-12-11, retrieved 2015-10-26
Schattschneider 1978, Fig 12. Schattschneider, Doris (1978), "Tiling the plane with congruent pentagons", Mathematics Magazine, 51 (1): 29–44, doi:10.2307/2689644, ISSN 0025-570X, JSTOR 2689644, MR 0493766, archived from the original on 2023-12-11, retrieved 2015-10-26
Hirschhorn & Hunt 1985. Hirschhorn, M. D.; Hunt, D. C. (1985), "Equilateral convex pentagons which tile the plane" (PDF), Journal of Combinatorial Theory, Series A, 39 (1): 1–18, doi:10.1016/0097-3165(85)90078-0, ISSN 1096-0899, MR 0787713, retrieved 2020-10-30
Klaassen 2016. Klaassen, Bernhard (2016), "Rotationally symmetric tilings with convex pentagons and hexagons", Elemente der Mathematik, 71 (4): 137–144, arXiv:1509.06297, doi:10.4171/em/310, ISSN 0013-6018, S2CID 119738738
Chavey 1989. Chavey, D. (1989), "Tilings by Regular Polygons—II: A Catalog of Tilings", Computers & Mathematics with Applications, 17 (1–3): 147–165, doi:10.1016/0898-1221(89)90156-9
Godrèche 1989. Godrèche, C. (1989), "The sphinx: a limit-periodic tiling of the plane", Journal of Physics A: Mathematical and General, 22 (24): L1163 – L1166, Bibcode:1989JPhA...22L1163G, doi:10.1088/0305-4470/22/24/006, MR 1030678
Gerver 2003. Gerver, M. L. (2003), "Theorems on tessellations by polygons", Sbornik: Mathematics, 194 (6): 879–895, Bibcode:2003SbMat.194..879G, doi:10.1070/sm2003v194n06abeh000743, S2CID 250813440
Frettlöh, Dirk; Garber, Alexey (2015), "Symmetries of monocoronal tilings", Discrete Mathematics & Theoretical Computer Science, 17 (2): 203–234, arXiv:1402.4658, doi:10.46298/dmtcs.2142, MR 3411398

ens-lyon.fr (Global: 6,599^th place; English: low place)

perso.ens-lyon.fr

Rao 2017. Rao, Michaël (2017), Exhaustive search of convex pentagons which tile the plane (PDF), arXiv:1708.00274

github.com (Global: 383^rd place; English: 320^th place)

"Mathematica code verifying Rao-convex-pentagon-tiling classification", GitHub

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Godrèche 1989. Godrèche, C. (1989), "The sphinx: a limit-periodic tiling of the plane", Journal of Physics A: Mathematical and General, 22 (24): L1163 – L1166, Bibcode:1989JPhA...22L1163G, doi:10.1088/0305-4470/22/24/006, MR 1030678
Gerver 2003. Gerver, M. L. (2003), "Theorems on tessellations by polygons", Sbornik: Mathematics, 194 (6): 879–895, Bibcode:2003SbMat.194..879G, doi:10.1070/sm2003v194n06abeh000743, S2CID 250813440

jstor.org (Global: 26^th place; English: 20^th place)

Schattschneider 1978. Schattschneider, Doris (1978), "Tiling the plane with congruent pentagons", Mathematics Magazine, 51 (1): 29–44, doi:10.2307/2689644, ISSN 0025-570X, JSTOR 2689644, MR 0493766, archived from the original on 2023-12-11, retrieved 2015-10-26
Schattschneider 1978, Fig 12. Schattschneider, Doris (1978), "Tiling the plane with congruent pentagons", Mathematics Magazine, 51 (1): 29–44, doi:10.2307/2689644, ISSN 0025-570X, JSTOR 2689644, MR 0493766, archived from the original on 2023-12-11, retrieved 2015-10-26

maa.org (Global: 3,479^th place; English: 2,444^th place)

Schattschneider 1978. Schattschneider, Doris (1978), "Tiling the plane with congruent pentagons", Mathematics Magazine, 51 (1): 29–44, doi:10.2307/2689644, ISSN 0025-570X, JSTOR 2689644, MR 0493766, archived from the original on 2023-12-11, retrieved 2015-10-26
Schattschneider 1978, Fig 12. Schattschneider, Doris (1978), "Tiling the plane with congruent pentagons", Mathematics Magazine, 51 (1): 29–44, doi:10.2307/2689644, ISSN 0025-570X, JSTOR 2689644, MR 0493766, archived from the original on 2023-12-11, retrieved 2015-10-26

probabilitysports.com (Global: low place; English: low place)

Brian Galebach, "Welcome to my collection of n-uniform tilings!", probabilitysports.com

quantamagazine.org (Global: 6,413^th place; English: 4,268^th place)

Wolchover 2017. Wolchover, Natalie (11 July 2017), "Pentagon Tiling Proof Solves Century-Old Math Problem", Quanta Magazine
Marjorie Rice’s Secret Pentagons Quanta Magazine

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Grünbaum & Shephard 1978. Grünbaum, Branko; Shephard, Geoffrey C. (1978), "Isohedral tilings of the plane by polygons", Commentarii Mathematici Helvetici, 53: 542–571, doi:10.1007/bf02566098, ISSN 0010-2571, S2CID 119897404
Klaassen 2016. Klaassen, Bernhard (2016), "Rotationally symmetric tilings with convex pentagons and hexagons", Elemente der Mathematik, 71 (4): 137–144, arXiv:1509.06297, doi:10.4171/em/310, ISSN 0013-6018, S2CID 119738738
Gerver 2003. Gerver, M. L. (2003), "Theorems on tessellations by polygons", Sbornik: Mathematics, 194 (6): 879–895, Bibcode:2003SbMat.194..879G, doi:10.1070/sm2003v194n06abeh000743, S2CID 250813440

sites.google.com (Global: 626^th place; English: 690^th place)

Marjorie Rice, "Tessellations", Intriguing Tessellations, retrieved 22 August 2015 – via Google Sites

theguardian.com (Global: 12^th place; English: 11^th place)

Bellos 2015. Bellos, Alex (11 August 2015), "Attack on the pentagon results in discovery of new mathematical tile", The Guardian

uni-goettingen.de (Global: 2,594^th place; English: 2,546^th place)

gdz.sub.uni-goettingen.de

Reinhardt 1918, pp. 77–81 (caution: there is at least one obvious mistake within this paper, i.e. γ+δ angle sum needs to equal π, not 2π for the first two tiling types defined on page 77) Reinhardt, Karl (1918), Über die Zerlegung der Ebene in Polygone (Dissertation) (in German), Borna-Leipzig: Druck von Robert Noske

resolver.sub.uni-goettingen.de

Reinhardt 1918, pp. 77–81 (caution: there is at least one obvious mistake within this paper, i.e. γ+δ angle sum needs to equal π, not 2π for the first two tiling types defined on page 77) Reinhardt, Karl (1918), Über die Zerlegung der Ebene in Polygone (Dissertation) (in German), Borna-Leipzig: Druck von Robert Noske

web.archive.org (Global: 1^st place; English: 1^st place)

Schattschneider 1978. Schattschneider, Doris (1978), "Tiling the plane with congruent pentagons", Mathematics Magazine, 51 (1): 29–44, doi:10.2307/2689644, ISSN 0025-570X, JSTOR 2689644, MR 0493766, archived from the original on 2023-12-11, retrieved 2015-10-26
Schattschneider 1978, Fig 12. Schattschneider, Doris (1978), "Tiling the plane with congruent pentagons", Mathematics Magazine, 51 (1): 29–44, doi:10.2307/2689644, ISSN 0025-570X, JSTOR 2689644, MR 0493766, archived from the original on 2023-12-11, retrieved 2015-10-26

wolframalpha.com (Global: 4,660^th place; English: 5,295^th place)

Cairo pentagonal tiling generated by a pentagon type 4 query and by a pentagon type 2 tiling query on wolframalpha.com (caution: the wolfram definition of pentagon type 2 tiling does not correspond with type 2 defined by Reinhardt in 1918)

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Chung, Ping Ngai; Fernandez, Miguel A.; Li, Yifei; Mara, Michael; Morgan, Frank; Plata, Isamar Rosa; Shah, Nirlee; Vieira, Luis Sordo; Wikner, Elena (2012-05-01), "Isoperimetric Pentagonal Tilings", Notices of the American Mathematical Society, 59 (5): 632, arXiv:1111.6161, doi:10.1090/noti838, ISSN 0002-9920
Grünbaum & Shephard 1978. Grünbaum, Branko; Shephard, Geoffrey C. (1978), "Isohedral tilings of the plane by polygons", Commentarii Mathematici Helvetici, 53: 542–571, doi:10.1007/bf02566098, ISSN 0010-2571, S2CID 119897404
Schattschneider 1978. Schattschneider, Doris (1978), "Tiling the plane with congruent pentagons", Mathematics Magazine, 51 (1): 29–44, doi:10.2307/2689644, ISSN 0025-570X, JSTOR 2689644, MR 0493766, archived from the original on 2023-12-11, retrieved 2015-10-26
Schattschneider 1978, Fig 12. Schattschneider, Doris (1978), "Tiling the plane with congruent pentagons", Mathematics Magazine, 51 (1): 29–44, doi:10.2307/2689644, ISSN 0025-570X, JSTOR 2689644, MR 0493766, archived from the original on 2023-12-11, retrieved 2015-10-26
Hirschhorn & Hunt 1985. Hirschhorn, M. D.; Hunt, D. C. (1985), "Equilateral convex pentagons which tile the plane" (PDF), Journal of Combinatorial Theory, Series A, 39 (1): 1–18, doi:10.1016/0097-3165(85)90078-0, ISSN 1096-0899, MR 0787713, retrieved 2020-10-30
Klaassen 2016. Klaassen, Bernhard (2016), "Rotationally symmetric tilings with convex pentagons and hexagons", Elemente der Mathematik, 71 (4): 137–144, arXiv:1509.06297, doi:10.4171/em/310, ISSN 0013-6018, S2CID 119738738

Pentagonal tiling (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

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ams.org

archive.org (Global: 6th place; English: 6th place)

arxiv.org (Global: 69th place; English: 59th place)

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core.ac.uk (Global: 1,734th place; English: 1,312th place)

doi.org (Global: 2nd place; English: 2nd place)

ens-lyon.fr (Global: 6,599th place; English: low place)

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github.com (Global: 383rd place; English: 320th place)

harvard.edu (Global: 18th place; English: 17th place)

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jstor.org (Global: 26th place; English: 20th place)

maa.org (Global: 3,479th place; English: 2,444th place)

probabilitysports.com (Global: low place; English: low place)

quantamagazine.org (Global: 6,413th place; English: 4,268th place)

semanticscholar.org (Global: 11th place; English: 8th place)

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sites.google.com (Global: 626th place; English: 690th place)

theguardian.com (Global: 12th place; English: 11th place)

uni-goettingen.de (Global: 2,594th place; English: 2,546th place)

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web.archive.org (Global: 1st place; English: 1st place)

wolframalpha.com (Global: 4,660th place; English: 5,295th place)

worldcat.org (Global: 5th place; English: 5th place)

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ams.org (Global: 451^st place; English: 277^th place)

archive.org (Global: 6^th place; English: 6^th place)

arxiv.org (Global: 69^th place; English: 59^th place)

core.ac.uk (Global: 1,734^th place; English: 1,312^th place)

doi.org (Global: 2^nd place; English: 2^nd place)

ens-lyon.fr (Global: 6,599^th place; English: low place)

github.com (Global: 383^rd place; English: 320^th place)

harvard.edu (Global: 18^th place; English: 17^th place)

jstor.org (Global: 26^th place; English: 20^th place)

maa.org (Global: 3,479^th place; English: 2,444^th place)

quantamagazine.org (Global: 6,413^th place; English: 4,268^th place)

semanticscholar.org (Global: 11^th place; English: 8^th place)

sites.google.com (Global: 626^th place; English: 690^th place)

theguardian.com (Global: 12^th place; English: 11^th place)

uni-goettingen.de (Global: 2,594^th place; English: 2,546^th place)

web.archive.org (Global: 1^st place; English: 1^st place)

wolframalpha.com (Global: 4,660^th place; English: 5,295^th place)

worldcat.org (Global: 5^th place; English: 5^th place)