Trihexagonal tiling (English Wikipedia)

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

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mathscinet.ams.org

Conway, John H.; Burgiel, Heidi; Goodman-Strauss, Chaim (2008). "Chapter 21: Naming Archimedean and Catalan polyhedra and tilings; Euclidean plane tessellations". The Symmetries of Things. Wellesley, MA: A K Peters, Ltd. p. 288. ISBN 978-1-56881-220-5. MR 2410150.

archive.org

Grünbaum, Branko; Shephard, G. C. (1987). Tilings and Patterns. W. H. Freeman. ISBN 978-0-7167-1193-3. See in particular Theorem 2.1.3, p. 59 (classification of uniform tilings); Figure 2.1.5, p.63 (illustration of this tiling), Theorem 2.9.1, p. 103 (classification of colored tilings), Figure 2.9.2, p. 105 (illustration of colored tilings), Figure 2.5.3(d), p. 83 (topologically equivalent star tiling), and Exercise 4.1.3, p. 171 (topological equivalence of trihexagonal and two-triangle tilings).

arxiv.org

Lawler, Michael J.; Kee, Hae-Young; Kim, Yong Baek; Vishwanath, Ashvin (2008). "Topological spin liquid on the hyperkagome lattice of Na₄Ir₃O₈". Physical Review Letters. 100 (22): 227201. arXiv:0705.0990. Bibcode:2008PhRvL.100v7201L. doi:10.1103/physrevlett.100.227201. PMID 18643453. S2CID 31984687.
Yen, F.; Chaudhury, R. P.; Galstyan, E.; Lorenz, B.; Wang, Y. Q.; Sun, Y. Y.; Chu, C. W. (2008). "Magnetic phase diagrams of the Kagome staircase compound Co₃V₂O₈". Physica B: Condensed Matter. 403 (5–9): 1487–1489. arXiv:0710.1009. Bibcode:2008PhyB..403.1487Y. doi:10.1016/j.physb.2007.10.334. S2CID 14958188.
Yin, Jia-Xin; Zhang, Songtian S.; Li, Hang; Jiang, Kun; Chang, Guoqing; Zhang, Bingjing; Lian, Biao; Xiang, Cheng; Belopolski (2018). "Giant and anisotropic many-body spin–orbit tunability in a strongly correlated kagome magnet". Nature. 562 (7725): 91–95. arXiv:1810.00218. Bibcode:2018Natur.562...91Y. doi:10.1038/s41586-018-0502-7. PMID 30209398. S2CID 205570556.
Yin, Jia-Xin; Zhang, Songtian S.; Chang, Guoqing; Wang, Qi; Tsirkin, Stepan S.; Guguchia, Zurab; Lian, Biao; Zhou, Huibin; Jiang, Kun; Belopolski, Ilya; Shumiya, Nana (2019). "Negative flat band magnetism in a spin–orbit-coupled correlated kagome magnet". Nature Physics. 15 (5): 443–8. arXiv:1901.04822. Bibcode:2019NatPh..15..443Y. doi:10.1038/s41567-019-0426-7. S2CID 119363372.
Wei, Chenan; Sedrakyan, Tigran (2021-01-29). "Optical lattice platform for the Sachdev-Ye-Kitaev model". Phys. Rev. A. 103 (1): 013323. arXiv:2005.07640. Bibcode:2021PhRvA.103a3323W. doi:10.1103/PhysRevA.103.013323. S2CID 234363891.

books.google.com

Aiton, E. J.; Duncan, Alistair Matheson; Field, Judith Veronica, eds. (1997). The Harmony of the World by Johannes Kepler. Memoirs of the American Philosophical Society. Vol. 209. American Philosophical Society. pp. 104–105. ISBN 978-0-87169-209-2..
Steurer, Walter; Deloudi, Sofia (2009). Crystallography of Quasicrystals: Concepts, Methods and Structures. Springer Series in Materials Science. Vol. 126. Springer. p. 20. ISBN 978-3-642-01899-2.

cctv.com

tv.cctv.com

China Central Television, CCTV-13 News Channel (2022-03-25). "[News Live Room] Bamboo weaving products of Ba culture first appeared in Chongqing about 2200 years ago". tv.cctv.com. Retrieved 2023-03-20.{{cite web}}: CS1 maint: numeric names: authors list (link)

doi.org

Yin, Jia-Xin (March 2023). "Exploring hitherto unknown quantum phases in kagome crystals". Physics (物理). 52 (3): 157–165. doi:10.7693/wl20230301.
Mekata, Mamoru (February 2003). "Kagome: The story of the basketweave lattice". Physics Today. 56 (2): 12–13. Bibcode:2003PhT....56b..12M. doi:10.1063/1.1564329.
Lawler, Michael J.; Kee, Hae-Young; Kim, Yong Baek; Vishwanath, Ashvin (2008). "Topological spin liquid on the hyperkagome lattice of Na₄Ir₃O₈". Physical Review Letters. 100 (22): 227201. arXiv:0705.0990. Bibcode:2008PhRvL.100v7201L. doi:10.1103/physrevlett.100.227201. PMID 18643453. S2CID 31984687.
Yen, F.; Chaudhury, R. P.; Galstyan, E.; Lorenz, B.; Wang, Y. Q.; Sun, Y. Y.; Chu, C. W. (2008). "Magnetic phase diagrams of the Kagome staircase compound Co₃V₂O₈". Physica B: Condensed Matter. 403 (5–9): 1487–1489. arXiv:0710.1009. Bibcode:2008PhyB..403.1487Y. doi:10.1016/j.physb.2007.10.334. S2CID 14958188.
Yin, Jia-Xin; Zhang, Songtian S.; Li, Hang; Jiang, Kun; Chang, Guoqing; Zhang, Bingjing; Lian, Biao; Xiang, Cheng; Belopolski (2018). "Giant and anisotropic many-body spin–orbit tunability in a strongly correlated kagome magnet". Nature. 562 (7725): 91–95. arXiv:1810.00218. Bibcode:2018Natur.562...91Y. doi:10.1038/s41586-018-0502-7. PMID 30209398. S2CID 205570556.
Yin, Jia-Xin; Zhang, Songtian S.; Chang, Guoqing; Wang, Qi; Tsirkin, Stepan S.; Guguchia, Zurab; Lian, Biao; Zhou, Huibin; Jiang, Kun; Belopolski, Ilya; Shumiya, Nana (2019). "Negative flat band magnetism in a spin–orbit-coupled correlated kagome magnet". Nature Physics. 15 (5): 443–8. arXiv:1901.04822. Bibcode:2019NatPh..15..443Y. doi:10.1038/s41567-019-0426-7. S2CID 119363372.
Yazyev, Oleg V. (2019). "An upside-down magnet". Nature Physics. 15 (5): 424–5. Bibcode:2019NatPh..15..424Y. doi:10.1038/s41567-019-0451-6. S2CID 128299874.
Wei, Chenan; Sedrakyan, Tigran (2021-01-29). "Optical lattice platform for the Sachdev-Ye-Kitaev model". Phys. Rev. A. 103 (1): 013323. arXiv:2005.07640. Bibcode:2021PhRvA.103a3323W. doi:10.1103/PhysRevA.103.013323. S2CID 234363891.

harvard.edu

ui.adsabs.harvard.edu

Mekata, Mamoru (February 2003). "Kagome: The story of the basketweave lattice". Physics Today. 56 (2): 12–13. Bibcode:2003PhT....56b..12M. doi:10.1063/1.1564329.
Lawler, Michael J.; Kee, Hae-Young; Kim, Yong Baek; Vishwanath, Ashvin (2008). "Topological spin liquid on the hyperkagome lattice of Na₄Ir₃O₈". Physical Review Letters. 100 (22): 227201. arXiv:0705.0990. Bibcode:2008PhRvL.100v7201L. doi:10.1103/physrevlett.100.227201. PMID 18643453. S2CID 31984687.
Yen, F.; Chaudhury, R. P.; Galstyan, E.; Lorenz, B.; Wang, Y. Q.; Sun, Y. Y.; Chu, C. W. (2008). "Magnetic phase diagrams of the Kagome staircase compound Co₃V₂O₈". Physica B: Condensed Matter. 403 (5–9): 1487–1489. arXiv:0710.1009. Bibcode:2008PhyB..403.1487Y. doi:10.1016/j.physb.2007.10.334. S2CID 14958188.
Yin, Jia-Xin; Zhang, Songtian S.; Li, Hang; Jiang, Kun; Chang, Guoqing; Zhang, Bingjing; Lian, Biao; Xiang, Cheng; Belopolski (2018). "Giant and anisotropic many-body spin–orbit tunability in a strongly correlated kagome magnet". Nature. 562 (7725): 91–95. arXiv:1810.00218. Bibcode:2018Natur.562...91Y. doi:10.1038/s41586-018-0502-7. PMID 30209398. S2CID 205570556.
Yin, Jia-Xin; Zhang, Songtian S.; Chang, Guoqing; Wang, Qi; Tsirkin, Stepan S.; Guguchia, Zurab; Lian, Biao; Zhou, Huibin; Jiang, Kun; Belopolski, Ilya; Shumiya, Nana (2019). "Negative flat band magnetism in a spin–orbit-coupled correlated kagome magnet". Nature Physics. 15 (5): 443–8. arXiv:1901.04822. Bibcode:2019NatPh..15..443Y. doi:10.1038/s41567-019-0426-7. S2CID 119363372.
Yazyev, Oleg V. (2019). "An upside-down magnet". Nature Physics. 15 (5): 424–5. Bibcode:2019NatPh..15..424Y. doi:10.1038/s41567-019-0451-6. S2CID 128299874.
Wei, Chenan; Sedrakyan, Tigran (2021-01-29). "Optical lattice platform for the Sachdev-Ye-Kitaev model". Phys. Rev. A. 103 (1): 013323. arXiv:2005.07640. Bibcode:2021PhRvA.103a3323W. doi:10.1103/PhysRevA.103.013323. S2CID 234363891.

nature.com

Yin, Jia-Xin; Zhang, Songtian S.; Li, Hang; Jiang, Kun; Chang, Guoqing; Zhang, Bingjing; Lian, Biao; Xiang, Cheng; Belopolski (2018). "Giant and anisotropic many-body spin–orbit tunability in a strongly correlated kagome magnet". Nature. 562 (7725): 91–95. arXiv:1810.00218. Bibcode:2018Natur.562...91Y. doi:10.1038/s41586-018-0502-7. PMID 30209398. S2CID 205570556.
Yin, Jia-Xin; Zhang, Songtian S.; Chang, Guoqing; Wang, Qi; Tsirkin, Stepan S.; Guguchia, Zurab; Lian, Biao; Zhou, Huibin; Jiang, Kun; Belopolski, Ilya; Shumiya, Nana (2019). "Negative flat band magnetism in a spin–orbit-coupled correlated kagome magnet". Nature Physics. 15 (5): 443–8. arXiv:1901.04822. Bibcode:2019NatPh..15..443Y. doi:10.1038/s41567-019-0426-7. S2CID 119363372.
Yazyev, Oleg V. (2019). "An upside-down magnet". Nature Physics. 15 (5): 424–5. Bibcode:2019NatPh..15..424Y. doi:10.1038/s41567-019-0451-6. S2CID 128299874.

nih.gov

pubmed.ncbi.nlm.nih.gov

Lawler, Michael J.; Kee, Hae-Young; Kim, Yong Baek; Vishwanath, Ashvin (2008). "Topological spin liquid on the hyperkagome lattice of Na₄Ir₃O₈". Physical Review Letters. 100 (22): 227201. arXiv:0705.0990. Bibcode:2008PhRvL.100v7201L. doi:10.1103/physrevlett.100.227201. PMID 18643453. S2CID 31984687.
Yin, Jia-Xin; Zhang, Songtian S.; Li, Hang; Jiang, Kun; Chang, Guoqing; Zhang, Bingjing; Lian, Biao; Xiang, Cheng; Belopolski (2018). "Giant and anisotropic many-body spin–orbit tunability in a strongly correlated kagome magnet". Nature. 562 (7725): 91–95. arXiv:1810.00218. Bibcode:2018Natur.562...91Y. doi:10.1038/s41586-018-0502-7. PMID 30209398. S2CID 205570556.

princeton.edu

discovery.princeton.edu

"A quantum magnet with a topological twist". Discovery: Research at Princeton. 2019-02-22. Retrieved 2020-04-26.

psu.edu

citeseerx.ist.psu.edu

Huson, Daniel H. "Two Dimensional symmetry Mutations". CiteSeerX 10.1.1.30.8536.

semanticscholar.org

api.semanticscholar.org

Lawler, Michael J.; Kee, Hae-Young; Kim, Yong Baek; Vishwanath, Ashvin (2008). "Topological spin liquid on the hyperkagome lattice of Na₄Ir₃O₈". Physical Review Letters. 100 (22): 227201. arXiv:0705.0990. Bibcode:2008PhRvL.100v7201L. doi:10.1103/physrevlett.100.227201. PMID 18643453. S2CID 31984687.
Yen, F.; Chaudhury, R. P.; Galstyan, E.; Lorenz, B.; Wang, Y. Q.; Sun, Y. Y.; Chu, C. W. (2008). "Magnetic phase diagrams of the Kagome staircase compound Co₃V₂O₈". Physica B: Condensed Matter. 403 (5–9): 1487–1489. arXiv:0710.1009. Bibcode:2008PhyB..403.1487Y. doi:10.1016/j.physb.2007.10.334. S2CID 14958188.
Yin, Jia-Xin; Zhang, Songtian S.; Li, Hang; Jiang, Kun; Chang, Guoqing; Zhang, Bingjing; Lian, Biao; Xiang, Cheng; Belopolski (2018). "Giant and anisotropic many-body spin–orbit tunability in a strongly correlated kagome magnet". Nature. 562 (7725): 91–95. arXiv:1810.00218. Bibcode:2018Natur.562...91Y. doi:10.1038/s41586-018-0502-7. PMID 30209398. S2CID 205570556.
Yin, Jia-Xin; Zhang, Songtian S.; Chang, Guoqing; Wang, Qi; Tsirkin, Stepan S.; Guguchia, Zurab; Lian, Biao; Zhou, Huibin; Jiang, Kun; Belopolski, Ilya; Shumiya, Nana (2019). "Negative flat band magnetism in a spin–orbit-coupled correlated kagome magnet". Nature Physics. 15 (5): 443–8. arXiv:1901.04822. Bibcode:2019NatPh..15..443Y. doi:10.1038/s41567-019-0426-7. S2CID 119363372.
Yazyev, Oleg V. (2019). "An upside-down magnet". Nature Physics. 15 (5): 424–5. Bibcode:2019NatPh..15..424Y. doi:10.1038/s41567-019-0451-6. S2CID 128299874.
Wei, Chenan; Sedrakyan, Tigran (2021-01-29). "Optical lattice platform for the Sachdev-Ye-Kitaev model". Phys. Rev. A. 103 (1): 013323. arXiv:2005.07640. Bibcode:2021PhRvA.103a3323W. doi:10.1103/PhysRevA.103.013323. S2CID 234363891.