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*[http://gruze.org/tilings/nfold#:~:text=For%20example%2C%20a%20regular%20pentagon,the%20square%20and%20the%20hexagon Five-fold Rotational Symmetry] | *[http://gruze.org/tilings/nfold#:~:text=For%20example%2C%20a%20regular%20pentagon,the%20square%20and%20the%20hexagon Five-fold Rotational Symmetry] | ||
*[https://en.wikipedia.org/wiki/Prototile Prototile Definition] ('''brief''' summary on prototile; once again, only use Wikipedia as an initial reading!) | *[https://en.wikipedia.org/wiki/Prototile Prototile Definition] ('''brief''' summary on prototile; once again, only use Wikipedia as an initial reading!) | ||
| + | |||
| + | =Sources= | ||
| + | “Golden Ratio.” Wikipedia. Wikimedia Foundation, December 2, 2020. https://en.wikipedia.org/wiki/Golden_ratio. | ||
| + | |||
| + | Meisner, Gary, Sasya Natasanthi, Liz, Amy, Kesang, Mohamed El Naschie, Bill, and Jason. “Penrose Tiling and Phi.” The Golden Ratio: Phi, 1.618, October 23, 2016. https://www.goldennumber.net/penrose-tiling/. | ||
| + | |||
| + | Meisner, Gary, Tara, Craig P.k Johnson, Sandor Szabados, Arthur, and Abhinav Smart. “Quasi-Crystals and the Golden Ratio.” The Golden Ratio: Phi, 1.618, December 21, 2016. https://www.goldennumber.net/quasi-crystals/. | ||
| + | |||
| + | Mutalik, Pradeep, and substantive Quanta Magazine moderates comments to facilitate an informed. “How to Solve Our Three John Conway-Inspired Puzzles.” Quanta Magazine. Accessed December 6, 2020. https://www.quantamagazine.org/how-to-solve-our-three-john-conway-inspired-puzzles-20201120/. | ||
| + | |||
| + | “Quasicrystals Page.” Eric's Quasicrystals Page. Accessed December 6, 2020. http://www.physics.emory.edu/faculty/weeks/pics/icon.html. | ||
| + | |||
| + | Quasicrystals. Accessed December 6, 2020. http://www.geom.uiuc.edu/docs/forum/quasicrystals/. | ||
| + | |||
| + | Tomrocksmaths. “Tessellation, Penrose Tilings and Infinity.” TOM ROCKS MATHS, June 25, 2020. https://tomrocksmaths.com/2020/05/14/tessellation-penrose-tilings-and-infinity/. | ||
| + | |||
| + | http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden Ratio/golden.html (Golden Ratio) | ||
| + | |||
[[Walther MA271 Fall2020 topic27|Penrose Tiling Home]] | [[Walther MA271 Fall2020 topic27|Penrose Tiling Home]] | ||
Revision as of 23:22, 5 December 2020
References
Here are a few links for further reading on Penrose Tiling:
- Brief Summary on Penrose Tiling (just use Wikipedia as an initial reading!)
- Aperiodic Tiling (with a little introduction on Penrose Tiling)
- Translational Symmetry
- Reflection Symmetry
- Five-fold Rotational Symmetry
- Prototile Definition (brief summary on prototile; once again, only use Wikipedia as an initial reading!)
Sources
“Golden Ratio.” Wikipedia. Wikimedia Foundation, December 2, 2020. https://en.wikipedia.org/wiki/Golden_ratio.
Meisner, Gary, Sasya Natasanthi, Liz, Amy, Kesang, Mohamed El Naschie, Bill, and Jason. “Penrose Tiling and Phi.” The Golden Ratio: Phi, 1.618, October 23, 2016. https://www.goldennumber.net/penrose-tiling/.
Meisner, Gary, Tara, Craig P.k Johnson, Sandor Szabados, Arthur, and Abhinav Smart. “Quasi-Crystals and the Golden Ratio.” The Golden Ratio: Phi, 1.618, December 21, 2016. https://www.goldennumber.net/quasi-crystals/.
Mutalik, Pradeep, and substantive Quanta Magazine moderates comments to facilitate an informed. “How to Solve Our Three John Conway-Inspired Puzzles.” Quanta Magazine. Accessed December 6, 2020. https://www.quantamagazine.org/how-to-solve-our-three-john-conway-inspired-puzzles-20201120/.
“Quasicrystals Page.” Eric's Quasicrystals Page. Accessed December 6, 2020. http://www.physics.emory.edu/faculty/weeks/pics/icon.html.
Quasicrystals. Accessed December 6, 2020. http://www.geom.uiuc.edu/docs/forum/quasicrystals/.
Tomrocksmaths. “Tessellation, Penrose Tilings and Infinity.” TOM ROCKS MATHS, June 25, 2020. https://tomrocksmaths.com/2020/05/14/tessellation-penrose-tilings-and-infinity/.
http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden Ratio/golden.html (Golden Ratio)
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