Category: Art Exhibitions

The Regional Meeting of the Golden Section of the Mathematical Association of America was held at California State University, East Bay.  The local organizer was Shirley Yap, fellow mathematical artist, who deserves kudos for the monumental amount of work it takes to organize a conference like this!  I helped out by organizing this year’s Art Exhibition.

This year, I thought I’d give you a virtual tour of the exhibit!  So I asked contributing artists to submit their own personal statement about their work and/or mathematical art in general, as well as an image of one of their displayed artworks.  I’ll let the artists speak for themselves….  (By the way, the order the artists are presented in is the order in which they sent me their information.  There is no ranking implicit in the order.)

Shirley Yap (shirley.yap@csueastbay.edu)

I created this image out of golden spirals.   While working on a math demonstration for my students, I unpacked a roll of netting. During the unraveling process, I had a vision of a two-dimensional golden spiral unravelling, which I tried to recreate with code.  I wanted to viewer to not just witness the unraveling, but also be inside the web of the fabric.  I often create code that has a lot of randomness in it, so that it captures a moment in time that can never be recreated.

Frank A. Farris (ffarris@scu.edu and math.scu.edu/~ffarris)

Mathematicians can feel lonely to find ourselves face to face with the most beautiful thoughts humans have ever known, only to realize that communicating our experience is unreasonably difficult. I have found comfort in visual art, digitally computed images that are the best I can do (short of giving an hour lecture) to say, ‘This is the beauty of mathematics.’

David Honda (snaporigami@gmail.com and  snaporigami.weebly.com)

I’m primarily a middle school mathematics teacher with one of my hobbies being Origami and other paper crafts. Some years back I became interested in the work of Heinz Strobl which uses joined, folded strips of paper to create various structures. Much like unit origami, the structures are held together solely by the folds, no adhesives. My interest soon became an obsession and I’ve been neck-deep in little strips of paper ever since. Lately I’ve been exploring concepts in Topology.  This particular work is my attempt at a Klein Bottle.

Dan Bach (www.dansmath.com, art@dansmath.com, and @dansmath)

 “I’m a career college mathematics teacher, now an interactive book author and 3D math artist. I like to illustrate number theory and vector calculus principles with surprising and colorful images, using a software palette of Mathematica, Cheetah3D, and iBooks Author. My math art encourages viewers to think, notice, and wonder. And hopefully say, ‘That’s cool! That’s math?’ “

This is a visualization of seven repeated perfect out-shuffles of a deck with 128 cards. The horizontal lines represent the particular orders of the cards throughout the shuffling, and the vertical curves represent the path each card takes from start to finish. The curves are colored from black to white in order to show the mechanics of the shuffling. The dots are colored from black to red to black in order to show that each perfect out-shuffle preserves the so-called “stay-stack principle”. Notice that the order of cards returns to the original order after seven shuffles.

Linda Beverly (lbeverly@horizon.csueastbay.edu and https://mathcsresearch.wordpress.com/)

This image is an embedding of a photograph of a set of watercolors. The embedding was performed using Locally Linear Embedding (LLE), a nonlinear dimensionality reduction technique, introduced by Saul & Roweis in 2000. LLE is an unsupervised machine learning algorithm.

I am pursuing a double major in Mathematics and Computer Science. I am currently working on research in geometric dimensionality reduction and unsupervised machine learning. This work will be extended into neural networks and deep learning. I enjoy seeking out interesting intersections between mathematics, computer science, and art.

Jason Herschel (jherschel@gmail.com)

Undulating organic light show with minimal code generated by a 16 MHz processor calculating color and brightness values through a Perlin noise algorithm. Blobs appear to grow, shrink, and drift relaxingly over the LED grid. 100 ping pong balls covering 100 individually addressable LEDs on poster board with Arduino Nano v.3 controller and battery pack. 

Programming is my art. I might not be a good “designer”, but I am a good developer where I am able to take a structured approach on art. I specialize in computer graphics, thus my understanding of the mathematics behind geometry, 3D models, and 2D sprites are better than my ability to free-form draw them.

Vince Matsko (vince.matsko@gmail.com,  www.vincematsko.com)

I hope you enjoyed this virtual tour of the Art Exhibition at the recent MAA Regional Conference.  The upcoming conference is next March; stay tuned for another virtual tour in about a year!

Yesterday, artists from the Golden Section of the Mathematical Association of America contributed to yet another art exhibition!  Each Spring, members of the MAA from Northern California, Nevada, and Hawaii attend a regional conference — this year, at Santa Clara University.

Last year the event was held at the University of California, Davis, and Shirley Yap from California State University, East Bay organized a highly successful exhibit — what we believe to be the first art exhibition ever to be a part of a sectional MAA meeting.  I asked Shirley to say a few words about what motivated her to take on this task.

I exhibited an art piece at the Joint Mathematics Meetings in 2016. It was an interactive piece and I wanted to see how people would experiment with it.  So I just hung around the exhibit for a while and not only saw how people played with my piece, but how they observed other pieces. The kind of delight that came from people’s faces convinced me that the art was really drawing them to math in a way that was different from how I had seen before. Perhaps because one is expected to sit in front of art for a long time to contemplate it, people felt relaxed enough to enjoy it.  Whatever it was I saw, I knew that I wanted to share the experience with others outside of the JMM.

When we put a call for artists out on our Golden Section website, we didn’t get any responses. So I went through years of JMM art exhibit catalogs and looked up each artist to see if they lived in our section.  Then I just started emailing them individually to ask if they were interested in showing their work at a local exhibition.

This year, I offered to help Shirley with organizing the exhibition.  Given what was involved in the second year, I have a new appreciation for Shirley’s dedication to spreading the word about mathematical art.  Such events do not organize themselves — and we are all grateful Shirley took on this huge task to start a new Golden Section tradition.

We didn’t have as many artists participate this year — but that’s part of the ebb and flow of yearly events like these.  But the quality has high, as was the enthusiasm of the artists.  Two of the artists this year were undergraduates — Nick Mendler from the Univiersity of San Francisco, and Juli Odomo from Santa Clara University.  I think of them as future organizers of sectional MAA art exhibits….

In the morning, we had the usual opening remarks and a series of excellent speakers.  The art exhibit took place in parallel with the Student Poster Sessions, which took place after lunch from 1:00-2:30.  This was followed by another series of talks.  You can see the full program here.

I asked the artists to say a few words about their experience about creating or exhibiting mathematical art.  Here a few remarks.

Frank Farris (see artwork above):

I love the idea that we’re entering a golden age of mathematical art. New tools become available all the time and a growing community is finding new creative ways to use them. Can’t wait to see what the next years will bring.

I believe the sentiment in Gwen’s quote resonates very strongly with many mathematical artists.

Gwen Fisher:

The thing that keeps bringing me back to bead weaving is mathematics. Of course, I love colors of glass beads and the way they sparkle, but mostly, I keep returning to my seed beads because I keep finding new ways to use and represent mathematical structures with them.

Nick Mendler (see artwork above):

Since my first sectional meeting last Spring, I’ve continued research into the questions that generated my first mathematical artwork over a year ago.
Recognizing that my projects and thoughts are the most rewarding when realized through an aesthetic process has been not only productive, but has been a fascinating source of guidance to new questions. That focusing on more elegant images brings about more elegant mathematics has been only too clear from the sessions I’ve attended so far; I’m looking forward to seeing and learning from more art pieces!

Interested in organizing an art exhibit in your section?  Since I helped Shirley with the organizational details this year, I can say a bit about what’s involved in putting together an exhibition.

The first step is, clearly, finding artists who want to show their work.  It would be easier to get a student worker to do the search Shirley undertook — but don’t forget about the exhibitions at the Bridges conferences!  Here is a link to both JMM and Bridges galleries.  You can also contact the SIGMAA-ARTS and request that an email blast be sent to members.

As far as the submission process goes, that’s pretty standard.  While it is always nice to accept every submission, sometimes it just isn’t possible.  The works should have some real mathematical content, and be of good quality.

Since not all artists necessarily have business cards (especially student artists), I had the idea of making nametags for those who wanted one.  You can download this nametag template in LaTeX if you would like, then edit and print onto cardstock.  (Note:  WordPress would not let me upload a .tex document, so I saved it as an Open Office document.)

A Fine Mesh We’re In, © dan bach 2016.

It is a good idea to have an assistant or a student helper in the exhibition venue during the conference.  Not all artists attended the meeting, and so brought in their work at various times during the day.

Shirley had the wonderful idea of arranging a dinner for contributing artists after the conference.  Last year we went to an excellent Thai restaurant, and this year, Frank Farris generously offered to host a pot luck dinner (he provided the lasagna) at his house.  These have been very wonderful events, and give artists the opportunity to get to know each other a little better.

Finally, I wanted to mention that I am in the middle of my second time teaching Mathematics and Digital Art at the University of San Francisco.  I say this in the event you are interested in offering such a course at your university.  I have written extensively about this experience on my blog, and also have all course materials as well as a day-by-day outline available on the  Fall 2016 course website.  I would be happy to help you get such a course off the ground if you’re interested.

If you would like more information, or want to get in touch with any of the artists whose work is shown above, please make a comment and I’ll get back to you.  I hope this is just the beginning of a long tradition of having mathematical art exhibits at sectional MAA meetings!