the american mathematical society …february 2013 pi day emmy noether (1882) rené descartes (1596)...

THE AMERICAN MATHEMATICAL SOCIETY

222000131313Mathematical Imagery

“Still Life with Magic Square,” by Sylvie Donmoyer, (http://www.illustration-scientifique.fr/index-A.html)(see January 2013)

Calendar of

“Still Life with Magic Square,” by Sylvie Donmoyer, Saumur, France20” x 26”, Oil paint on canvas, 2011

First Place Award, 2012 Mathematical Art Exhibition

It all arose from a sense of wonder when seeing the formal beauty of mysterious objects called polyhedra. Since then, I have joyfully played with geometric shapes and it led me to explore the possible representation of Geometry in classical painting. From Dürer’s magic square to strange cubes, painted by the precise brush of a would-be 17th century Dutch artist.—Sylvie Donmoyer, Saumur, France (http://www.illustration-scientifique.fr/index-A.html)

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DECEMBER 2012

New Year’s Day Isaac Newton (1643)

David Hilbert (1862)Joseph Louis Lagrange

(1736)Martin Luther King, Jr.

Day (U.S.)

THIS MATHEMATICAL MONTH

Monthly postings of vignettes on people, publications, and mathematics to inform and entertain, at www.ams.org/thismathmonth/.

Joint Mathematics Meetings,

San Diego, CA


San Diego, CA


San Diego, CA


San Diego, CA

Joint Mathematics Meetings9–12: Joint Mathematics Meetings,

San Diego, CA

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“Sierpinski Triangle,” by Simon Beck Pattern made in snow with snowshoes

This work is a variation on a Sierpinski Triangle, a simple iterative process. Start with the largest triangle, find the midpoints of each edge, “draw” another triangle linking the midpoints, resulting in 4 triangles, then leave the middle triangle alone and repeat the process on the 3 other triangles. —Simon Beck (www.facebook.com/snowart8848)


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HEADLINES & DEADLINES FOR STUDENTS provides email notification of

mathematics news and of upcoming deadlines. The emails, issued about once a month, link to a web page that’s a centralized source for information relevant to students and faculty advisors, at www.ams.org/news-for-students/. AMS members may sign up for HEADLINES & DEADLINES, twice-monthly emails that include news, prizewinners, special programs and events, as well as deadlines for fellowship and grant applications, calls for proposals, and meeting registrations, at www.ams.org/enews.

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MARCH 2013

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JANUARY 2013

Presidents’ Day (U.S.)

FEBRUARY 2013

“Conical Panoramic view of the George Eastman House grounds,” by Andrew Davidhazy, Rochester Institute of Technology, NY

Photograph, circa 1990

My area of interest is the application of mathematical concepts in technical applications of photography. Be it quantification of phenom-ena or the design and use of photography to visualize physical and mathematical concepts. A camera that rotated a circular piece of film past a radial slot acting as a shutter exposed the film for more than two rotations of the camera and thus recorded two plus views of the House grounds each covering a sector of about 120 degrees or so designed so that the 360 degree view of the grounds would produce a sector that could be cut and formed into a conical lampshade. Sometimes this photo is confused with those that a fisheye

lens might make but the fisheye lens could only make a single image of the House per frame. Here there are two. —Andrew Davidhazy,

Rochester Institute of Technology, NY (people.rit.edu/andpph/)


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APR IL 2013

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FEBRUARY 2013

Pi Day

Emmy Noether (1882)

René Descartes (1596)

View NOTICES OF THE AMS online, email the feature articles to colleagues, obtain information for Notices authors, contact editors and staff, see advertisements, and browse issues going back to 1995. See www.ams.org/notices/.

of the American Mathematical Society

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AMS Sectional Meeting AMS Sectional Meeting

AMS Sectional Meeting

AMS Sectional Meeting1–3: University of Mississippi, Oxford, MS (Southeastern)

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Passover beginsEaster

“Pythagorean Tree,” a pancake by Nathan Shields (www.10minutemath.com)

This fractal, like many others, is fun to doodle at faculty meetings. Here, each triple of touching squares encloses a right triangle in a traditional visualization of the Pythagorean Theorem. To see about making your own fractal pancakes, as well as other topics I find in-

teresting as a math teacher, check out my blog (www.10minutemath.com). —Nathan Shields







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MAY 2013

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MARCH 2013

AMS Sectional Meetings6-7: Boston College, Chestnut Hill, MA (Eastern)

13-14: University of Colorado Boulder, Boulder, CO (Western)

27-28: Iowa State University, Ames, IA (Central)

Leonhard Euler (1707)

Carl Friedrich Gauss (1777)Henri Poincaré (1854)

MATHEMATICS AWARENESS MONTH is held each year in April to increase public understanding of mathematics. See www.mathaware.org to read the 2013 theme essay, download the poster, and view the related activities of math departments.

“Butterflies 6-4,” by Doug Dunham, University of Minnesota Duluth, MN 11” x 11”, Color printer, 2009

This is a hyperbolic pattern of butterflies, six of which meet at left front wing tips and four of which meet at their right rear wings. The pattern is inspired by M.C. Escher’s Euclidean image Regular Division Drawing Number 70, and is colored similarly. Disregarding color, the symmetry group of this pattern is generated by 6-fold and 4-fold rotations about the respective meeting points of the wings, and is 642 in orbifold notation (or [4,6]+ in Coxeter notation). This pattern exhibits perfect color symmetry and its color group is S3, the symmetric group on three objects. — Doug Dunham, University of Minnesota Duluth, MN (www.d.umn.edu/~ddunham/)

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JUNE 2013

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APR IL 2013

Memorial Day (U.S.)

Follow PHD + EPSILON, a blog by Adriana Salerno about her experiences and challenges as an early-career mathematician. All mathematicians are encouraged to join the community of her follow-ers and post comments. Also see the AMS GRAD STUDENT BLOG, ON THE MARKET, and JMM BLOGS at blogs.ams.org/phdplus/.

MAY 2013

Victoria Day (Canada)

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“Lawson’s Minimum-Energy Klein Bottle,” by Carlo Séquin, University of California, Berkeley9” x 6” x 4.5”, FDM model, 2011

Third Place Award, 2012 Mathematical Art Exhibition

My professional work in computer graphics and geometric design has also provided a bridge to the world of art. This is a gridded model of a Klein bottle (Euler characteristic 0, genus 2) with the minimal possible total surface bending energy. This energy is calculated as the surface integral over mean curvature squared. —Carlo Séquin, University of California, Berkeley, CA (www.cs.berkeley.edu/~sequin/)


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JULY 2013

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MAY 2013

Blaise Pascal (1623)

Read the FEATURE COLUMN, a series of essays on various mathematical topics written by David Austin, Bill Casselman, Joe Malkevitch, and Tony Phillips, at www.ams.org/featurecolumn.

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Mathematics Research Communities, Snowbird, UT June 9–15, June 16–22, and June 25–July 1.

See conferences at www.ams.org/programs/research-communities/mrc

Joint International Meeting of the AMS and the Romanian Mathematical Society June 27–30, 2013, Alba Iulia, Romania

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Meeting

JUNE 2013

“Pleated Multi-sliced Cone,” by Thomas Hull, Western New England University, Springfield, MA; Robert Lang, Robert J. Lang Origami; and Ray Schamp, Ray’s Origami

16” x 16” x 5”, elephant hide paper, 2011Second Place Award, 2012 Mathematical Art Exhibition

Imagine a long paper cone that is pleated with alternating mountain and valley creases so that its cross-section is star-shaped. Now slice the cone with a plane and imagine reflecting the top part of the cone through this plane. The result is exactly what one would get if we folded the pleated cone along creases made by the intersecting plane. Doing this repeatedly can result in interesting shapes, including the origami version presented here. This work is a collaboration. The concept and crease pattern for this work was devised and modeled in Mathematica by origami artist Robert Lang (www.langorigami.com/). The crease pattern was then printed onto elephant hide paper by artist Ray Schamp (fold.oclock.am/). The paper was then folded along the crease pattern by mathematician and origami artist Thomas Hull (mars.wne.edu/~thull). Part of the charm of paper folding is its capacity for simple, elegant beauty as well as stunning complexity, all within the same set of constraints. This mirrors the appeal of mathematics quite well. Geometric origami, which is where most of my artwork lives, strives to express in physical form the inherent beauty of mathematical concepts in geometry, algebra, and combinatorics. The constraints that origami provides (only folding, no cutting, and either one sheet of paper or further constraints if more than one sheet is allowed) challenges the artist in a way similar to being challenged by a mathematical problem. —Thomas Hull, Western New England University, Springfield, MA (mars.wne.edu/~thull)

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AUGUST 2013

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JUNE 2013

Gottfried Wilhelm Leibniz (1646)

The AMS BOOKSTORE includes books, journals, gift items, and web-only sales. See www.ams.org/bookstore and sign up for the New Title Email Notification service.

BOOKSTOREwww.ams.org/bookstore

Independence Day (U.S.)

Ramadan begins

“Walking the Water’s Edge,” by Diane Herrmann, University of Chicago, ILNeedlepoint on canvas, 14” x 14”, 2009

In this piece, the line imitates the edge of a wave on the shore. To make this wave look realistic, we used a mathematical curve that

models the way a wave breaks on the beach. To be mathematically precise, we work with the sum of two trigonometric curves to show

the action of water as it sloshes over itself in the push to get on the shore. The graph that defines the line of the Florentine Stitches is

a close approximation to the curve: f (x) = 5 sin x + 4 cos (2x + π/3). The technique of thread blending creates the shading of the wave.

Freeform eyelet stitches mimic the foamy edge of the wave and beads add sparkle. A single starfish is added in Bullion Knots.

—Diane Herrmann, University of Chicago, IL

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SEPTEMBER 2013

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JULY 2013

Pierre de Fermat (1601)

Augustin Louis Cauchy (1789)

The AMS sponsors and cosponsors several EMPLOYMENT SERVICES. Mathjobs.org is an online job application service. The Employment Center is an interviewing program that takes place each January at the Joint Mathematics Meetings. Employment Information in the Mathematical Sciences (EIMS) is an online job board. Learn about all the services at www.ams.org/employment.

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“Escher’s ‘Relativity’,” ©Andrew Lipson Made of Lego®

Daniel Shiu and I worked on this as a joint project. There are no camera tricks, but the picture has to be taken from exactly the right place, and that was a challenge in itself. Unlike many of Escher’s other “impossible” pictures (like “Ascending and Descending”), there is actually no optical illusion involved here. Gravity seems to be working in three different directions simultaneously, but the picture shows a perfectly self-consistent physical scene. So modelling it should certainly be feasible. But while Escher’s picture has three dif-ferent “up”s, Lego® isn’t quite so flexible. See photos of the construction in progress. Lego® is a trademark of The Lego Group. On my website I post images of M.C. Escher’s original works (©) Cordon Art, Baarn, the Netherlands, used with permission, so that you may compare with the Lego® creations. All rights reserved. —Andrew Lipson (www.andrewlipson.com/mathlego.htm)


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OCTOBER 2013

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AUGUST 2013

Labor Day (U.S.) Rosh Hashanah begins

MATHEMATICAL MOMENTS is a program that promotes appreciation and understanding of the role mathematics plays in science, nature, technology, and human culture. There are over 90 posters on topics in applied mathematics,

podcasts of interviews with experts in the fields, and translated versions. See the entire collection at www.ams.org/mathmoments.

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SEPTEMBER 2013

Bernhard Riemann (1826)

Yom Kippur begins

“Process Print 3 from Trefoilm” by Nathan Selikoff, Orlando, FL4” x 6”, Archival Pigment Print, 2011

I love to experiment in the fuzzy overlap between art, mathematics, and programming. Seeking to extract and visualize the beauty that I glimpse beneath the surface of equations and systems, I create custom interactive programs and use them to explore algorithms, and ultimately to generate artwork. When I prepare an image from my Aesthetic Explorations series of strange attractors for print, the first step is rendering a very high resolution, high quality 16-bit grayscale image from my custom software. While these images are destined to spend some time in Photoshop in a process of recoloring and enhancement, I find that they are very beautiful in and of themselves. The nature of algorithmic artwork (and fractal phenomena in nature in general) is that there is captivating detail at all scales. This is a crop from “Trefoil”. —Nathan Selikoff, Artist, Orlando, FL (nathanselikoff.com)

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NOVEMBER 2013

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SEPTEMBER 2013

Columbus Day (U.S.)

Bookmark MATH IN THE MEDIA to keep abreast of math news as reported in newspapers and general science magazines. The monthly magazine includes Tony Phillips’ Take on Math in the Media, Math Digest, and Reviews of books, plays, and films with mathematical themes, at www.ams.org/mathmedia.



AMS Sectional Meeting AMS Sectional Meeting


AMS Sectional MeetingAMS Sectional Meeting

OCTOBER 2013

AMS Sectional Meetings5–6: University of Louisville,

Louisville, KY (Southeastern)

12–13: Temple University, Philadelphia, PA (Eastern)

18–20: Washington University, St. Louis, MO (Central)

Évariste Galois (1811)

“Sphere,” by Dominique Ribault, Paris, France

60cm x 60cm, Digital Print (Hahnemuhle Canvas Goya)

Eleph-Zero and its clones are tessellations of the plane made with the crystallographic group P3. With this work I wanted also to illustrate links between Algebra and Topology. Eleph-Zero walks on two spirals from the south to the north. —Dominique Ribault, Artist, Paris, France

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DECEMBER 2013

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OCTOBER 2013

Veterans’ Day (Observed) (U.S.)

Thanksgiving (U.S.)

Link to AMS Facebook, Twitter, YouTube, LinkedIn, Blogs, and share comments, from www.ams.org/about-us/social.

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AMS Sectional Meetings2-3: University of California Riverside, Riverside, CA

(Western))

Hanukkah begins

“Moresque No.1,” by Erica Rollings

Stained Glass. From the Grammar of Ornament series

The Escher-esque quality of the shields appealed to me, especially as they leave a negative-space dodecagon in the center. I kept the colors in symphony with each other to add to the complexity of the basic design. —Erica Rollings Glass Works (www.ericarollings.net)


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JANUARY 2014

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NOVEMBER 2013

Christmas Kwanzaa begins

Mark your 2014 calendar with the following AMS MEETINGS: Joint Mathematics Meetings in Baltimore, MD (January 15–18), and sectional meetings including those held

at University of Tennessee, Knoxville, Knoxville, TN (March 21–23), University of New Mexico, Albuquerque, NM (April 5–6), Texas Tech University, Lubbock, TX (April 11–13), University of Wisconsin-Eau Claire, Eau Claire, WI (September 20–21), and San Francisco State University, San Francisco, CA (October 25–26). See the most current information about AMS meetings and conferences at www.ams.org/meetings.

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Hanukkah ends

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2013 at a glance

2014 at a glance

American Mathematical Society201 Charles StreetProvidence, RI 02904-2294 USA tel: 401-455-4000fax: 401-331-3842 MATHCAL/2013

2013 Calendar of Mathematical Imagery

the american mathematical society …february 2013 pi day emmy noether (1882) rené descartes (1596)...

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