王氏砖 (Chinese Wikipedia)

Analysis of information sources in references of the Wikipedia article "王氏砖" in Chinese language version.

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11doi.org

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7ams.org

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4harvard.edu

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1arxiv.org

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ams.org

Berger, Robert, The undecidability of the domino problem, Memoirs of the American Mathematical Society, 1966, 66: 72, MR 0216954 . Berger coins the term "Wang tiles", and demonstrates the first aperiodic set of them.
Berger, Robert, The undecidability of the domino problem, Memoirs of the American Mathematical Society, 1966, 66: 72, MR 0216954 . Berger coins the term "Wang tiles", and demonstrates the first aperiodic set of them.
Robinson, Raphael M., Undecidability and nonperiodicity for tilings of the plane, Inventiones Mathematicae, 1971, 12: 177–209, Bibcode:1971InMat..12..177R, MR 0297572, doi:10.1007/bf01418780 .
Culik, Karel, II, An aperiodic set of 13 Wang tiles, Discrete Mathematics, 1996, 160 (1-3): 245–251, MR 1417576, doi:10.1016/S0012-365X(96)00118-5 （包括5個顏色的13個王氏磚）
Kari, Jarkko, A small aperiodic set of Wang tiles, Discrete Mathematics, 1996, 160 (1-3): 259–264, MR 1417578, doi:10.1016/0012-365X(95)00120-L .
Culik, Karel, II; Kari, Jarkko, An aperiodic set of Wang cubes, Journal of Universal Computer Science, 1995, 1 (10): 675–686 [2019-08-13], MR 1392428, doi:10.1007/978-3-642-80350-5_57, （原始内容存档于2019-08-13） .
Kari, Jarkko, Reversibility of 2D cellular automata is undecidable, Cellular automata: theory and experiment (Los Alamos, NM, 1989), Physica D: Nonlinear Phenomena 45 (1-3): 379–385, 1990, Bibcode:1990PhyD...45..379K, MR 1094882, doi:10.1016/0167-2789(90)90195-U .

arxiv.org

Jeandel, Emmanuel; Rao, Michael, An aperiodic set of 11 Wang tiles, Computing Research Repository, 2015, Bibcode:2015arXiv150606492J, arXiv:1506.06492  （包括4個顏色的11個王氏磚）}

books.google.com

Burnham, Karen, Greg Egan, Modern Masters of Science Fiction, University of Illinois Press: 72–73, 2014, ISBN 9780252096297

doi.org

Wang, Hao, Proving theorems by pattern recognition—II, Bell System Technical Journal, 1961, 40 (1): 1–41, doi:10.1002/j.1538-7305.1961.tb03975.x
Renz, Peter, Mathematical proof: What it is and what it ought to be, The Two-Year College Mathematics Journal, 1981, 12 (2): 83–103, doi:10.2307/3027370 .
Robinson, Raphael M., Undecidability and nonperiodicity for tilings of the plane, Inventiones Mathematicae, 1971, 12: 177–209, Bibcode:1971InMat..12..177R, MR 0297572, doi:10.1007/bf01418780 .
Culik, Karel, II, An aperiodic set of 13 Wang tiles, Discrete Mathematics, 1996, 160 (1-3): 245–251, MR 1417576, doi:10.1016/S0012-365X(96)00118-5 （包括5個顏色的13個王氏磚）
Kari, Jarkko, A small aperiodic set of Wang tiles, Discrete Mathematics, 1996, 160 (1-3): 259–264, MR 1417578, doi:10.1016/0012-365X(95)00120-L .
Culik, Karel, II; Kari, Jarkko, An aperiodic set of Wang cubes, Journal of Universal Computer Science, 1995, 1 (10): 675–686 [2019-08-13], MR 1392428, doi:10.1007/978-3-642-80350-5_57, （原始内容存档于2019-08-13） .
Winfree, E.; Liu, F.; Wenzler, L.A.; Seeman, N.C., Design and self-assembly of two-dimensional DNA crystals, Nature, 1998, 394: 539–544, Bibcode:1998Natur.394..539W, PMID 9707114, doi:10.1038/28998
Cohen, Michael F.; Shade, Jonathan; Hiller, Stefan; Deussen, Oliver, Wang tiles for image and texture generation, ACM SIGGRAPH 2003 (PDF), New York, NY, USA: ACM: 287–294, 2003 [2019-08-13], ISBN 1-58113-709-5, doi:10.1145/1201775.882265, 原始内容存档于2006-03-18 . Introduces stochastic tiling.
Wei, Li-Yi, Tile-based texture mapping on graphics hardware, Proceedings of the ACM SIGGRAPH/EUROGRAPHICS Conference on Graphics Hardware (HWWS '04), New York, NY, USA: ACM: 55–63, 2004 [2019-08-13], ISBN 3-905673-15-0, doi:10.1145/1058129.1058138, （原始内容存档于2016-05-07） . Applies Wang Tiles for real-time texturing on a GPU.
. Kopf, Johannes; Cohen-Or, Daniel; Deussen, Oliver; Lischinski, Dani, Recursive Wang tiles for real-time blue noise, ACM SIGGRAPH 2006, New York, NY, USA: ACM: 509–518, 2006 [2019-08-13], ISBN 1-59593-364-6, doi:10.1145/1179352.1141916, （原始内容存档于2019-08-18） . Shows advanced applications.
Kari, Jarkko, Reversibility of 2D cellular automata is undecidable, Cellular automata: theory and experiment (Los Alamos, NM, 1989), Physica D: Nonlinear Phenomena 45 (1-3): 379–385, 1990, Bibcode:1990PhyD...45..379K, MR 1094882, doi:10.1016/0167-2789(90)90195-U .

harvard.edu

ui.adsabs.harvard.edu

Robinson, Raphael M., Undecidability and nonperiodicity for tilings of the plane, Inventiones Mathematicae, 1971, 12: 177–209, Bibcode:1971InMat..12..177R, MR 0297572, doi:10.1007/bf01418780 .
Jeandel, Emmanuel; Rao, Michael, An aperiodic set of 11 Wang tiles, Computing Research Repository, 2015, Bibcode:2015arXiv150606492J, arXiv:1506.06492  （包括4個顏色的11個王氏磚）}
Winfree, E.; Liu, F.; Wenzler, L.A.; Seeman, N.C., Design and self-assembly of two-dimensional DNA crystals, Nature, 1998, 394: 539–544, Bibcode:1998Natur.394..539W, PMID 9707114, doi:10.1038/28998
Kari, Jarkko, Reversibility of 2D cellular automata is undecidable, Cellular automata: theory and experiment (Los Alamos, NM, 1989), Physica D: Nonlinear Phenomena 45 (1-3): 379–385, 1990, Bibcode:1990PhyD...45..379K, MR 1094882, doi:10.1016/0167-2789(90)90195-U .

johanneskopf.de

. Kopf, Johannes; Cohen-Or, Daniel; Deussen, Oliver; Lischinski, Dani, Recursive Wang tiles for real-time blue noise, ACM SIGGRAPH 2006, New York, NY, USA: ACM: 509–518, 2006 [2019-08-13], ISBN 1-59593-364-6, doi:10.1145/1179352.1141916, （原始内容存档于2019-08-18） . Shows advanced applications.

jucs.org

Culik, Karel, II; Kari, Jarkko, An aperiodic set of Wang cubes, Journal of Universal Computer Science, 1995, 1 (10): 675–686 [2019-08-13], MR 1392428, doi:10.1007/978-3-642-80350-5_57, （原始内容存档于2019-08-13） .

nih.gov

ncbi.nlm.nih.gov

Winfree, E.; Liu, F.; Wenzler, L.A.; Seeman, N.C., Design and self-assembly of two-dimensional DNA crystals, Nature, 1998, 394: 539–544, Bibcode:1998Natur.394..539W, PMID 9707114, doi:10.1038/28998

stanford.edu

graphics.stanford.edu

Wei, Li-Yi, Tile-based texture mapping on graphics hardware, Proceedings of the ACM SIGGRAPH/EUROGRAPHICS Conference on Graphics Hardware (HWWS '04), New York, NY, USA: ACM: 55–63, 2004 [2019-08-13], ISBN 3-905673-15-0, doi:10.1145/1058129.1058138, （原始内容存档于2016-05-07） . Applies Wang Tiles for real-time texturing on a GPU.

toronto.edu

dgp.toronto.edu

Stam, Jos, Aperiodic Texture Mapping (PDF), 1997 [2019-08-13], （原始内容 (PDF)存档于2016-04-30） . Introduces the idea of using Wang tiles for texture variation, with a deterministic substitution system.

web.archive.org

Culik, Karel, II; Kari, Jarkko, An aperiodic set of Wang cubes, Journal of Universal Computer Science, 1995, 1 (10): 675–686 [2019-08-13], MR 1392428, doi:10.1007/978-3-642-80350-5_57, （原始内容存档于2019-08-13） .
Stam, Jos, Aperiodic Texture Mapping (PDF), 1997 [2019-08-13], （原始内容 (PDF)存档于2016-04-30） . Introduces the idea of using Wang tiles for texture variation, with a deterministic substitution system.
Cohen, Michael F.; Shade, Jonathan; Hiller, Stefan; Deussen, Oliver, Wang tiles for image and texture generation, ACM SIGGRAPH 2003 (PDF), New York, NY, USA: ACM: 287–294, 2003 [2019-08-13], ISBN 1-58113-709-5, doi:10.1145/1201775.882265, 原始内容存档于2006-03-18 . Introduces stochastic tiling.
Wei, Li-Yi, Tile-based texture mapping on graphics hardware, Proceedings of the ACM SIGGRAPH/EUROGRAPHICS Conference on Graphics Hardware (HWWS '04), New York, NY, USA: ACM: 55–63, 2004 [2019-08-13], ISBN 3-905673-15-0, doi:10.1145/1058129.1058138, （原始内容存档于2016-05-07） . Applies Wang Tiles for real-time texturing on a GPU.
. Kopf, Johannes; Cohen-Or, Daniel; Deussen, Oliver; Lischinski, Dani, Recursive Wang tiles for real-time blue noise, ACM SIGGRAPH 2006, New York, NY, USA: ACM: 509–518, 2006 [2019-08-13], ISBN 1-59593-364-6, doi:10.1145/1179352.1141916, （原始内容存档于2019-08-18） . Shows advanced applications.