SoundBites newsletter October 2015

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1. Were you always an artist? It took me a long time to see myself as an artist at all. I first submitted a solo piece to a mathematical art exhibit in 2011, and even then I asked a colleague in the Art and Art History Department if she thought it was reasonable to submit it. Most of my recent artwork stems from my collaboration with Ellie Baker, an artist and computer scientist who introduced me to bead crochet, and who proposed a joint artwork with me and Sophie Sommer that we exhibited in 2010. My collaborative research with Baker, which led to our recent book, “Crafting Conundrums: Puzzles and Patterns for the Bead Crochet Artist,” is what made me re-label myself as a mathematical artist, as opposed to a number theorist who likes to make mathematical models. 2. How did you begin incorporating mathematics into your artwork? The mathematics came first, so it is more a question of how I incorporated art into my mathematics. Since my college days, classmates and colleagues have introduced me to modular origami, intricately patterned friendship bracelets, mobile making, hyperbolic crochet, and many more forms of art that lend themselves to mathematical pieces. Much of my current inspiration comes from my professional colleagues who participate in the annual international Bridges Conference on mathematics and art.

Lorenz manifold

3. What role does visualization play in the teaching of mathematics? There are some areas of mathematics— geometry, trigonometry, topology, graph theory—where visualization is obviously part of any teaching process. For instance, it would be strange to present trigonometry, which literally means “tri-angle measurement,” without drawing a lot of triangles. I find that mathematical art in particular is a wonderful teaching tool for

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Susan Goldstine is professor of mathematics at St. Mary’s College of Maryland. Susan is also an artist who finds ways to work mathematical proofs into her own deGoldstine signs. Her artwork has been showcased in the Joint Mathematics Meetings Exhibitions of Mathematical Art, and several of her pieces have won awards. Examples of her artwork can be found on her website: http://faculty. smcm.edu/sgoldstine/.

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Susan Goldstine engaging students who are otherwise afraid of math. Part of the reason that I keep so many toys and puzzles and models in my office is that people who visit me are curious about them, which gives me an opportunity to discuss interesting ideas in math in a playful, non-threatening way. 4. What is your favorite art piece, and why? My current favorite is “Map Coloring Jewelry Set,” which I completed in 2014. It consists of a necklace, bracelet, and a pair of earrings that are coordinated aesthetically and mathematically, and I think it’s the most polished piece I’ve produced. I am particularly fond of the underlying mathematics, which revolves around the question of how many colors it takes to fill in a map so that regions that touch are different colors. This question turns out to have different answers on different surfaces, three of which are exhibited by the jewelry set. As a bonus, I can wear this artwork—and often do, especially when I give talks about bead crochet.

President: Tuajuanda C. Jordan, PhD

A newsletter for the community, faculty and staff.

Map Coloring Jewelry Set

5. Do you have any art projects that are currently underway? In 2004, the mathematicians Hinke Osinga and Bernt Krauskopf published a crochet pattern for the Lorenz manifold, a complicated surface that they were studying as part of their research. They wanted to visualize this surface, which is related to chaos theory and the butterfly effect, in three dimensions, and it occurred to them that they could turn their computer calculations into a set of crochet instructions. I saw Osinga and Krauskopf speak about their model, and I latched onto the idea of making a bead crochet version of the manifold. Bead crochet has a more rigid structure than ordinary crochet and should take less coaxing to exhibit the proper geometry. What makes this slightly insane is that in bead crochet, I need to make over twice as many stitches as in the original manifold, which is already a huge project. To put this in perspective, “Map Coloring Jewelry Set,” the most intricate piece I’d made at the time, had slightly over 5,300 beads. The beaded Lorenz manifold will take 44,769 beads, of which I’ve crocheted 17,733 so far. Sarah Jablon ’16 conducted this interview.

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“ D o i ng Well a n d G et t in g B et t er ”

is how President Jordan summed up the current state of the college on Sept. 4. Students, faculty, and staff lined the bleachers of the ARC for the president’s first address of the fall semester. In her remarks, President Jordan announced the 175th anniversary theme, “Celebrating the Past, Forging the Future: St. Mary’s College of Maryland, 175 Years Proud,” acknowledged significant achievements of individuals and departments; and shed light on campus projects, including the introduction of all-gender facilities. Watch President Jordan’s address in its entirety on the SMCM YouTube channel at tinyurl.com/ smcm-sotc2015.

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This academic year, St. Mary’s College will embark on developing a three-year strategic plan that will position the college for continued success. President Jordan has been charged by the Board of Trustees to lead the strategic planning process and deliver a final plan for Board approval by May 2016. “I welcome the challenge,” said President Jordan during the fall 2015 State of the College Address, where she announced the start of the strategic planning process. “I know that to get this done, we, the entire SMCM community,

must work together in a focused, collaborative, and collegial manner. I have no doubt we will get this done.” Stay abreast of the process throughout the year by visiting the strategic planning website at www.smcm.edu/strategicplan


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