The connection between mathematics and art goes back thousands of years. Mathematics has been 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 award-winning sculptors have used topology as the basis for their pieces. Dutch artist M.C. Escher represented infinity, Möbius bands, tessellations, deformations, reflections, Platonic solids, spirals, symmetry, and the hyperbolic plane in his works.
Mathematicians and artists continue to create stunning works in all media and to explore the visualization of mathematics--origami, computer-generated landscapes, tesselations, fractals, anamorphic art, and more.
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"Byzantine No.1," by Erica Rollings Stained Glass. From the Grammar of Ornament series.
This design appealed because of the interconnection of always-pleasing circles and squares. I wanted the geometric qualities to be represented in warm earthy colors to create an aesthetic tension and provided more tension by opposing with a cool background. --- Erica Rollings Glass Works (www.ericarollings.net)
"Coelenterates," by Erica RollingsStained Glass.
Coelenterates--otherwise known to us laypeople as Jellyfish. If you've ever had the misfortune to encounter one while swimming then you know they're notoriously hard to see in water. To find it, search for hexagons. Its body is represented by regular hexagons, while its tail, the nasty part, is represented by elongated hexagons. --- Erica Rollings Glass Works (www.ericarollings.net)
"Middle Ages No. 5," by Erica Rollings Stained Glass. From the Grammar of Ornament series.
I loved the combination of knots and leaves, with the letters providing a hint of heraldry. One can easily picture a knight's shield, and hence the background color of war. I chose the yellow and purple glass for their red references. This piece is constructed of dichroic glass which appears one color when backlit (as in the photo) and an entirely different color when light is reflected off the surface instead. --- Erica Rollings Glass Works (www.ericarollings.net)
"Moresque No.1," by Erica RollingsStained 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)