{"id":694,"date":"2014-06-11T06:49:51","date_gmt":"2014-06-11T11:49:51","guid":{"rendered":"http:\/\/blogs.ams.org\/blogonmathblogs\/?p=694"},"modified":"2014-06-11T06:49:51","modified_gmt":"2014-06-11T11:49:51","slug":"fibonacci-lemonade-andrea-hawksley","status":"publish","type":"post","link":"https:\/\/blogs.ams.org\/blogonmathblogs\/2014\/06\/11\/fibonacci-lemonade-andrea-hawksley\/","title":{"rendered":"When Life Hands You Lemons, Make Fibonacci Lemonade"},"content":{"rendered":"

I’m so glad I found Andrea Hawksley\u2019s blog<\/span><\/a> earlier this year! Hawksley is a software developer, mathematical artist, co-founder of the Octahedral Group<\/span><\/a>, an organization of Bay Area mathematical artists. She works on the eleVR<\/span><\/a> project, where she helps make 3-D VR videos for viewing on a spherical viewer. (They have a blog<\/span><\/a>, too. I haven\u2019t browsed it much yet, but it deals with the geometry and neuroscience of creating VR videos. Cool!)<\/span><\/p>\n

Hawksley posts about recreational math and the mathematical art she and others make. I am indebted to her for posting a template and instructions for making a 6-card ball<\/span><\/a> with pyritohedral symmetry group out of playing cards. I made one while my students were taking their final exam last semester. Here\u2019s my finished product:<\/p>\n

\"A<\/a>

A 6-card ball I made using Andrea Hawksley’s template and instructions. Image: Evelyn Lamb.<\/p><\/div>\n

The ball was her gift to attendees of the Gathering 4 Gardner conference<\/span><\/a>, which she posted about here<\/span><\/a>. If you\u2019re like me, you\u2019ll be swooning at the hair tie creations and the G4G gifts from other participants. You\u2019ll also swoon over her other posts about mathematical art, particularly her\u00a0\u201ctopological\u201d origami<\/span><\/a>.<\/p>\n

\"Unukalhai,<\/a>

Unukalhai, an origami sculpture in Andrea Hawksley’s Star Polyhedra series. Image: Andrea Hawksley.<\/p><\/div>\n

Two of my favorites are her posts on non-Euclidean<\/span><\/a> chess<\/span><\/a>. What happens if we design \u201cchutes\u201d between random squares on the board? Could we handicap better players to make more interesting games? How does a bishop move if we tile our hyperbolic chessboard with squares that meet six to a vertex? How does a rook move on a hyperbolic chessboard tiled with pentagons that meet four to a vertex? It\u2019s interesting to think about the ways that the game would be different with these different choices. I\u2019d love for someone to write a program that plays chess on these boards to figure out how the strategy changes as we change the board.<\/p>\n

Finally, one of Hawksley\u2019s most recent posts is on making Fibonacci lemonade<\/span><\/a>, a layered drink that gets sweeter as you go down the glass, with lemon to sugar ratio gradually approximating the Golden ratio. As she writes, \u201cThis drink may be the world\u2019s first tastable example of the relationship between the Fibonacci sequence and the golden ratio!\u201d It\u2019s not bad to look at, either.<\/p>\n

\"Fibonacci<\/a>

Fibonacci lemonade. Image: Andrea Hawksley.<\/p><\/div>\n

<\/div>","protected":false},"excerpt":{"rendered":"

I’m so glad I found Andrea Hawksley\u2019s blog earlier this year! Hawksley is a software developer, mathematical artist, co-founder of the Octahedral Group, an organization of Bay Area mathematical artists. She works on the eleVR project, where she helps make … Continue reading →<\/span><\/a><\/p>\n

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