Works Cited:

“Tessellation.” Wikipedia, Wikimedia Foundation, 18 Nov. 2018, en.wikipedia.org/wiki/Tessellation.

https://www.goldennumber.net/penrose-tiling/ Meisner, Gary, et al. “Penrose Tiling and Phi.” Goldennumber.net, 23 Oct. 2016, www.goldennumber.net/penrose-tiling/.

https://www.goldennumber.net/quasi-crystals/ Meisner, Gary, and Sandor Szabados. “Quasi-Crystals and the Golden Ratio.” Goldennumber.net, 21 Dec. 2016, www.goldennumber.net/quasi-crystals/.

http://jwilson.coe.uga.edu/EMAT6680Fa05/Schultz/Penrose/Penrose_Main.html Penrose Tilings, jwilson.coe.uga.edu/EMAT6680Fa05/Schultz/Penrose/Penrose_Main.html.

http://www.ams.org/publicoutreach/feature-column/fcarc-penrose “American Mathematical Society.” AMS, American Mathematical Society, www.ams.org/publicoutreach/feature-column/fcarc-penrose.

https://www.pbs.org/newshour/science/quasicrystals-win-chemistry-nobel Marder, Jenny. “What Are Quasicrystals, and What Makes Them Nobel-Worthy?” PBS, Public Broadcasting Service, 5 Oct. 2011, www.pbs.org/newshour/science/quasicrystals-win-chemistry-nobel.

https://www.britannica.com/science/crystal Mahan, Gerald D. “Crystal.” Encyclopædia Britannica, Encyclopædia Britannica, Inc., 12 Oct. 2017, www.britannica.com/science/crystal.

http://www.xtal.iqfr.csic.es/Cristalografia/parte_03_1_1-en.html Ripoll, Martin Martinez. Crystallography. The Symmetry of Crystals, www.xtal.iqfr.csic.es/Cristalografia/parte_03_1_1-en.html.

https://motherboard.vice.com/en_us/article/4x3me3/quasicrystals-are-natures-impossible-matter Oberhaus, Daniel. “Quasicrystals Are Nature's Impossible Matter.” Motherboard, VICE, 3 May 2015, motherboard.vice.com/en_us/article/4x3me3/quasicrystals-are-natures-impossible-matter.

https://physics.aps.org/story/v28/st14 Monroe, Don. “Focus: Nobel Prize–Discovery of Quasicrystals.” Physics, American Physical Society, 7 Oct. 2011, physics.aps.org/story/v28/st14.

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett