Reza Sarhangi - At The AMS Show in San Diego - January

The next few days I am going to diverge from mathematical poetry and display some of the visual mathematics work done by many talented people who have their work admitted to the American Mathematical Society mathart show coming up in January. The following image is by Reza Sarhangi and Robert Fathauer (see Robert's work)
Reza is one of, if not the most important person in the vismath genre for Reza is the nucleus of the Bridges conference on mathematical connections in art music and science. He is a very special man and I really appreciate everything he has done and continues to do for the genre.

This print was inspired by Abu’l-Wefa Buzjani's (10th Century Persian mathematician) construction of a regular heptagon contained in his treatise, “On Those Parts of Geometry Needed by Craftsmen”. His construction is illustrated by the linework in the center portion of the print. The characters around the perimeter of the design repeat Buzjani’s name in Farsi.

Reza Sarhangi, Professor of Mathematics, Towson University and Robert Fathauer, Small business owner, puzzle designer, and artist, Tessellations Company

Reza Sarhangi is interested in Persian geometric art and its historical methods of construction, which he explores using the computer software Geometer's Sketchpad. Robert Fathauer creates digital artworks on a Macintosh computer, primarily using the commercial programs FreeHand and Photoshop.

Gary R. Greenfield - At The AMS Show in San Diego - January

The next few days I am going to diverge from mathematical poetry and display some of the visual mathematics work done by many talented people who have their work admitted to the American Mathematical Society mathart show coming up in January. The following image is by Gary Greenfield who also happens to be the chief editor of the Journal of mathematics and the arts. I really enjoy Professor Greenfield no nonsense approach concerning this genre.

Virtual interacting particles are realized as small paint droplets encased in hard shells. Particles move under the influence of artificial gravity. When a particle touches the canvas it adheres, its shell disintegrates, and the particle's footprint becomes visible. Particles stream from fountains located slightly above the canvas. Back scattering and dispersion occur when particles from two or more intersecting streams collide. This series of images was made by sequentially turning on and off 120 pairs of streams where some collision potential existed. Each stream contained 400 particles, all particles in a stream were of the same color, and four colors were available. The resulting "fountain paintings" lie on a spectrum somewhere between simulated Pollock style drip paintings and simulated air brush paintings.Gary R. Greenfield, Associate Professor of Mathematics and Computer Science Mathematics & Computer Science Department, University of Richmond, Richmond, VA 23173

Mathartist Statement:

"Many of my computer generated algorithmic art works are based on visualizations from simulations that are inspired by mathematcal models of physical and biological processes. Examples include cell morphogenesis, swarm behavior, diffusion limited aggregation, and interacting particles. By experimenting with the parameters affecting simulation settings and drawing attributes, I try to focus the viewer's attention on the complexity underlying such processes. "

Michael Field - At The AMS Show in San Diego - January

The next few days I am going to diverge from mathematical poetry and display some of the visual mathematics work done by many talented people who have their work admitted to the American Mathematical Society mathart show coming up in January.

The following Image is by the mathartist Michael Field. Looking at these small jpegs is quite an injustice to these works. If you see them in person, you will be amazed at the complexity of texture. I have loved professor Field’s work since the first time I saw it at Bridges.




Part of a repeating pattern of type pmg. The pattern was generated using a smooth symmetric torus mapping and then lifted to the plane. The colors reflect the density of an associated absolutely continuous invariant measure.
Michael Field, Professor of Mathematics, Department of Mathematics, University of Houston


Mathartist Statement:


"All of my art work is based on ideas rooted in dynamical systems, chaotic dynamics and invariant measures (part of my field of research). I developed all the software, algorithms and coloring used for these images. I also built the computers used to generate the images and printed these images myself.
My interest primarily lies in the ways in which one can achieve certain desired artistic effects using a "mathematical palette" (as opposed to using images toilluminate the mathematics)."

Robert Fathauer At The AMS Show in San Diego - January

The next few days I am going to diverge from mathematical poetry and display some of the visual mathematics work done by many talented people who have their work admitted to the American Mathematical Society mathart show coming up in January. The following image is an M.C. Escher homage by Robert Fathauer. Also to note that Robert has curated many mathart exhibitions around the world.

"Angels and Devils" is a digital artwork based on a fractal arrangement of circles within circles. Two half-scale circles are placed within the starting circle and rotated by an angle of π/4 in opposite directions. These steps are then repeated in the smaller circles, etc. The motifs pay homage to one of M.C. Escher's most famous prints, "Circle Limit IV", which also contains angel and devil motifs. Escher's print is based on hyperbolic geometry, which distorts the motifs as they get smaller. All of the tiles in "Angels and Devils" are similar in the Euclidean plane.

Robert Fathauer, Small business owner, puzzle designer, and artist, Tessellations Company

Robert Fathauer makes limited-edition prints inspired by tiling, fractals, and knots. He employs mathematics in his art to express his fascination with certain aspects of our world, such as symmetry, complexity, chaos, and infinity. His artworks are created on a Macintosh computer, primarily using the commercial programs FreeHand and Photoshop. More recently, he has been exploring fractal arrangements of polyhedra

Anne Burns At The AMS Show in San Diego - January

The next few days I am going to diverge from mathematical poetry and display some of the visual mathematics work done by many talented people who have their work admitted to the American Mathematical Society mathart show coming up in January. The following image is by Anne Burns who is a prominent figure in the vismath world and I continue to find her fractal imagery extremely fascinating.

I use mathematics to invent algorithms and recursive subroutines that model structures found in nature such as clouds, trees and flowers. The program that generated this picture was written in Visual Basic.

Anne Burns, Professor of Mathematics, Long Island University.Mathartist statement:

"Just out of high school I entered Pratt Institute to major in art. For a number of years I painted in oils and water colors. I returned to college in my thirties and found that I loved mathematics. I never realized the connections between math and art until I bought my first computer and began writing computer programs. This enabled me to combine my love of art with my love of mathematics. Another of my interests is identifying wildflowers; this led to writing programs trying to imitate the structure of plants and other forms found in nature. I love programming and I am fascinated by the process of recursion and how it can be used to create pictures of astonishing complexity with very little code."

Robert Bosch - Outside Ring - At The AMS Show in San Diego - January

The next few days I am going to diverge from mathematical poetry and display some of the visual mathematics work done by many talented people who have their work admitted to the American Mathematical Society mathart show coming up in January.

While we are looking at space filling curves … The following piece is another space filling curve image similar to the last blog entry yet this one has a different premise.

"Outside Ring" is a continuous line drawing constructed from a 3000-city instance of the Traveling Salesman Problem. The line is a simple closed curve drawn with white ink. It divides the plane into two regions: in (drawn with red ink) and out (drawn with black). From afar, the piece looks like an alternating link, a knot formed from two interlaced loops, one red and one black. Robert Bosch, Professor of Mathematics, Robert and Eleanor Biggs Professor of Natural Science, Department of Mathematics, Oberlin College, Founder of http://www.dominoartwork.com/

Mathartist Statement:

"I specialize in "Opt Art", the use of mathematical optimization techniques to create pictures, portraits, and sculpture. I have used integer programming to create portraits out of complete sets of dominoes, linear programming to create pointillistic pieces, and instances of the Traveling Salesman Problem to create continuous line drawings. What all my pieces have in common---aside from how they were constructed---is that they look very different up close than they do from afar. I create my artwork out of a love of optimization---the theory, the algorithms, its numerous applications. I believe that optimization can be applied to virtually every imaginable field, and I believe that my artwork does a good job of helping me make that point!"

Douglas McKenna - Thirteenski - At The AMS Show in San Diego - January

The next few days I am going to diverge from mathematical poetry and display some of the visual mathematics work done by many talented people who have their work admitted to the American Mathematical Society mathart show coming up in January.

The following vismath piece is by Douglas McKenna who was kind enough to invite me to visit his studio a couple of years ago. Since then I have been a fan of his 'space filling curves'.

Mathartist statement:

The original Peano and Hilbert Curves represent two out of three techniques for "threading a square". The generalized third technique I recently conceived connects square corners with side centers. "Thirteenski" is an asymmetric, recursive traversal of 13 symmetrically arranged sub-squares that eventually converges as a space-filling curve at different geometric scales according to a Sierpinski Carpet-like pattern. The resulting pattern wonderfully illustrates a struggle between symmetry and asymmetry, arising from the underlying combinatoric constraints governing the solution space.

Slavik Jablan At The AMS Show in San Diego - January

Graphical work based on links and interlaced structures.

The next few days I am going to diverge from mathematical poetry and display some of the visual mathematics work done by many talented people who have their work admitted to the American Mathematical Society mathart show coming up in January. The beautiful piece below is done by Slavik Jablan

Graphical work based on links and interlaced structures.Slavik Jablan, Professor of Mathematics, The Mathematical Institute, Belgrade, Serbia.

Mathartist Statement:

"For many years I used almost all painting techniques (oil, watercolor...), painting in a color-expressionist manner. Later I transferred to computer graphic and mathematical art, trying to preserve the individuality and originality of math-art works, so my math-art works are not computer-generated. In fact, I am using a computer only as a tool for producing artworks."

A Math Art Moment #9

Delineation #9

A mathematical theory seems to come in a flash of intuition before the final product is rigorously constructed.

An artistic theory seems to come much after the artwork that has been constructed in a flash of intuition.
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To see more math art delineations click here