
The connection between mathematics and
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used in the design of Gothic cathedrals, Rose windows,
oriental rugs, mosaics and tilings. Geometric forms were
fundamental to the cubists and many abstract expressionists,
and awardwinning sculptors have used topology as the
basis for their pieces. Dutch artist M.C. Escher represented
infinity, Möbius ands, tessellations, deformations,
reflections, Platonic solids, spirals, symmetry, and
the hyperbolic plane in his works.
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Home > 2011 Mathematical Art Exhibition

Last additions  2011 Mathematical Art Exhibition 
"Floating Pentangle Construction," by Bente Simonsen (Landeryd, Sweden)Digital print, 20" x 24", 2010
Impossible pentangle construction, 2D and 3D mixillusion.  Bente Simonsen (http://geometricimpossibilities.blogspot.se)
Mar 10, 2011


"Thorn Dice Set," by Chuck Stover (Lansing, MI)Printed stainless steel and bronze, 6" x 8" x 1", 2010
A set of polyhedral dice with edges defined by interlocking vines of steel.  Chuck Stover
Mar 10, 2011


"Martin Gardner  Master Puzzler," by Bruce Torrence (RandolphMacon College, Ashland, VA)Archival inkjet print, 20" x 20", 2010
This portrait of Martin Gardner (19142010) was made by coloring the individual tiles on a kite and dart Penrose tiling. This particular tiling exhibits fivefold rotational symmetry (can you find the center?), and was created by "deflating" a wheel of five kites eight times. Gardner's oftcited January 1977 Scientific American column introduced the public to Penrose's aperiodic tiles.  Bruce Torrence (http://faculty.rmc.edu/btorrenc)
Mar 10, 2011


"Visualizing Abstract Quantity," by Anna Ursyn (University of Northern Colorado, Greeley)Archival print, 8" x 10", 2010
Unspoken fears.  Anna Ursyn (http://www. Ursyn.com)
Mar 10, 2011


"MĂ¶bius strip patterned by 48 different striped squares," by Anna VirĂˇgvĂ¶lgyi (Budapest, Hungary)Folded paper, 100 x 100 x 100 mm, 2010
Diagonally striped tiles of this arrangement create concentrically striped squares. The number of squares is the number of all possible triplets of three symbols (no symbols are paired): 3*2*2 = 12. The surface of the MĂ¶bius strip is diced with this different 12 squares. The edge of the strip is diced with another whole set of such triplets. This arrangement would be realized on tori as well.  Anna VirĂˇgvĂ¶lgyi
Mar 10, 2011


"Infinity," by Mary Wahr (Manistee Area Public Schools, MI)Pen and ink, 18" x 21", 2009
This is an abstract pen and ink rendering of a broccoflower. It is the first piece of art completed for my thesis and was the starting point of two years of research and art. Since my fractal ideas are accomplished without arithmetic, I needed to incorporate the components that define a fractal. This piece of art reflects the concepts of infinity, iteration, selfsimilarity and scaling.  Mary Wahr
Mar 10, 2011


"iteration," by Trygve Wastvedt (St. Olaf College, Northfield, MN)Bronze, plaster, wax, concrete, 18" x 18" x 8", 2010
"iteration" is a series of identical humanoid figures cast in bronze, plaster, wax, and concrete. The form is a near honeycomb so that the individual pieces stack together to fill space. Though geometric, the form still evokes human emotions, which allows the sculpture to ask social and relational questions.  Trygve Wastvedt (http://www.trygvewastvedt.com)
Mar 10, 2011


"Ten Triangular Prisms," by Magnus Wenninger (Saint John's Abbey, Collegeville, MN)Paper, 9" x 9" x 9", 2010
Robert Webb's Stella program is now the computer program I use for the construction of all the â€¨polyhedron models I have recently been making. It is the program par excellence I now use for â€¨the discovery of any new polyhedra, especially any I have never made before. The photo shows a model of Ten Triangular Prisms, recently made by me. I found the Stella version onâ€¨ a web page called '75 Uniform Polyhedra' done by Roger Kaufman. It is #32 on this web page. The Stellaâ€¨ version gives me a 3D computer view in 10 colors and allows me to choose the size of the model andâ€¨ thus also the size and shape of the net to be used for the construction of the model. However, I wantedâ€¨ my model to be done using only 5 colors. This is where the artwork comes into play. The model nowâ€¨ shows each prism with its faces in one color of the five. Thus it becomes uniquely artistic in appearance.  Magnus Wenninger (http://www.saintjohnsabbey.org/wenninger/)
Mar 10, 2011


"Sierpinski Theme and Variations," by Larry Riddle (Agnes Scott College, Decatur, GA)Counted cross stitch on fabric (25 count per inch), 13.5" x 13.5", 2009
The Sierpinski Triangle is a fractal that can be generated by dividing a square into four equal subsquares, removing the upper right subsquare, and then iterating the construction on each of the three remaining subsquares. That is our â€śThemeâ€ť, shown in the upper left. The â€śVariationsâ€ť arise by exploiting symmetries of the square. The three variations in this piece were generated by rotating the upper left and lower right subsquares at each iteration by 90 or 180 degrees, either clockwise or counterclockwise. The selfsimilarity of the fractals, illustrated by the use of three colors, means that you can read off which rotations were used from the final image. Each design shows the construction through seven iterations, the limit that could be obtained for the size of canvas used.  Larry Riddle (http://ecademy.agnesscott.edu/~lriddle/)
Mar 10, 2011


"Traveling Ribbons," by Irene Rousseau (Irene Rousseau Art Studio, Summit, NJ)Painted wood and paper collage with gestural expression, 17"x17"x5", 2010
The sculpture "Traveling Ribbons"Â© 2010 is composed of geometric symmetry and interweaving patterns. The alternating overpasses and underpasses at crossings result in graceful curves and transitions between straight and curved sections. The repeating ribbon patterns are arranged in a threedimensional lattice form and can be viewed from many different directions. The voids between the ribbons become a part of the form and also create a symmetrical pattern. The ribbons are painted in complementary colors of orange and purple with markings, which lead the eye on a continuous path.  Irene Rousseau (http://www.irenerousseau.com)
Mar 10, 2011


"Sierpinski's Doughnut," by Ian Sammis (Holy Names University, Oakland, CA)Digital print on canvas, 15" x 12", 2010
A Sierpinksi curve is a spacefilling curve that fills a triangle. Sierpinski curves may be chained together to construct a continuous path from triangle to triangle. The correct arrangement of triangles allow the construction of a single path that fills the unit square while following an Eulerian path along a graph with the topology of a torus. Mapping the square onto the torus in the usual way gives us a spacefilling closed circuit on the surface of a torus. The image is a render of a tube following such a circuit.  Ian Sammis
Mar 10, 2011


"Calm," by Reza Sarhangi (Towson University, Towson, MD)Digital print, 16" x 20", 2008
"Calm" is an artwork based on the â€śModularityâ€ť concept presented in an article â€śModules and Modularity in Mosaic Patternsâ€ť (Reza Sarhangi, Journal of the Symmetrion, Volume 19, Numbers 23, 2008/. Another article in this regard is â€śModularity in Medieval Persian Mosaics: Textual, Empirical, Analytical, and Theoretical Considerationsâ€ť (Sarhangi, R., S. Jablan, and R. Sazdanovic, Bridges Conference Proceedings, 2004). The set of modules with extra cuts used to create this artwork is presented in this figure: http://gallery.bridgesmathart.org/sites/gallery.bridgesmathart.org/files/Reza/Calm_figure.jpg.  Reza Sarhangi (http://pages.towson.edu/gsarhang/)
Mar 10, 2011


"Tryptique," by Radmila Sazdanovic (University of Pennsylvania) and Aftermoon studio (Paris, France)Ink/brush, 24" x 8", 2010
Tryptique is a drawing of three different kinds of diagrams used in categorifications of the onevariable polynomial ring with integer coefficients. These diagrams are elements of three distinct algebras: on the level of Grothendieck rings, projective modules spanned by these diagrams correspond to Chebyshev polynomials, integer powers of x and (x1), and Hermite polynomials. Asgar Jorn's comment about Pierre Alechinsky's work could as well apply to the signs Aftermoon studio created based on our diagrams.â€¨â€¨
"L'image est Ă©crite et l'Ă©criture forme des images... on peut dire qu'il y a une Ă©criture, une graphologie dans toute image de mĂŞme que dans toute Ă©criture se trouve une image."  Radmila Sazdanovic (http://www.math.upenn.edu/~radmilas/)
Mar 10, 2011


"Ă†xploration (Aesthetic Exploration)," by Nathan Selikoff (Digital Awakening Studios, Orlando, FL)Realtime Video Projection, variable, 2009
Ă†xploration (Aesthetic Exploration) is a realtime, interactive video projection. This custom software visualizes a variety of two and threedimensional strange attractors, allowing the viewer to control the coefficients, color, and translation of the attractor. Until recently, my goal has been to generate high quality still images of strange attractors, and my interactive software has been geared towards that purpose alone  an artist's tool that is a byproduct of the process, viewable only by myself. But recently, in the course of a single day, I made some changes to my code that completely revolutionized what I was seeing on the screen while using my software, and I am excited to share the results. The image above is a screen capture. Video is available at http://nathanselikoff.com/251/strangeattractors/aestheticexploration.  Nathan Selikoff (http://www.nathanselikoff.com)
Mar 10, 2011


"Torus Knot (5,3)," by Carlo H. SĂ©quin (University of California, Berkeley)Second Place Award, 2011 Mathematical Art Exhibition
Bronze with silver patina, 10" Ă— 8" Ă— 16", 2010
Torus knots of type (p,q) are simple knots that wind around an invisible donut in a regular manner â€“ p times around the hole, and q times through the hole. By using a somewhat more angular shape for the donut and a variablesize, crescentshaped cross section for the ribbon, this mathematical construct can be turned into a constructivist sculpture. The challenge was to find a way to make a mold for casting this highly intertwined structure. The solution was to cast three identical pieces, which were then threaded together and welded to each other.  Carlo H. SĂ©quin (http://www.cs.berkeley.edu/~sequin/)
Mar 10, 2011


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