Burning Banks by Suman Vaze
Place a point on a sheet of paper and fold the edges of the paper so that the edges touch the point and are parallel to the original edge. The folds make a shape similar to the original but a quarter of the original area. If the sheet is now folded so that the vertices touch the point, the slant fold lines pass through the points of intersection of the edge folds. These fold lines are reminiscent of the iconic HSBC and Bank of China buildings in Hong Kong. The green construction shrouds stifle many banking institutions today.
Suman Vaze, Teacher of Mathematics, King George V School, English Schools Foundation, Hong Kong
“I seek to depict interesting mathematical truths, curiosities and puzzles in simple, visually descriptive ways. Mathematical amusements inspire the color and form in my paintings, and I try to strike a balance between the simplicity of the concepts and their depiction in art. The logic and balance of the discipline is beautiful, and I like art that both stills and stimulates the mind – these are the qualities I strive to capture in my work. I find that the current affairs of the world also influence my paintings which sometimes have both a mathematical and a social perspective.”
Iterated Folding of Square Twist by Philip Van Loocke
The square twist is performed on a square, after which a blintzing is applied. This process is iterated many times. Each point on the initial square leads to a series of points, which is transformed into color values with a technique based on reference points.
Prof. Philip Van Loocke, Liaison officer art/science, University of Ghent
“I create art based on mathematical models. The art in turn defines mathematical problems.For instance, when trying to identify or classify fold-transformations which create fractals of the type illustrated, many open problems are encountered.”
Autotroph Series by Paul Prudence
An Autotroph (from the Greek autos = self and trophe = nutrition, is an organism that produces complex organic compounds from simple inorganic molecules using energy from light or inorganic chemical reactions. Constructed using simulated video feedback in VVVV a range of mathamatical morphological figures, architectural archetypes and hyperbolic geometries have been arrived at. They are ordered in sequence to accentuate their biological development from one form to the next. We find properties of platonic proportion, recursive geometries, strict symmetry and decorative forms consistent with those cultures using mathematical rule sets in the creation of their artefacts.
Talysis II b by Paul Prudence
Talysis II (real-time software) is constructed with a circuit of video renderers, each passing its output to the next renderer to produce a closed visual information loop - a software simulation of analogue video feedback. Visual feedback loops are recursive function simulators. Symmetrical geometric patterns are generated as a single unit (white square) is transformed a little in shape, position, orientation and hue while it’s conveyed around the circuit. The resultant art work shows properties of symmetry, unitary modulation and hyperbolic geometry.
Archihedron by Owen Paul Meyer
This sculpture is a personal exploration in geometry based three dimmensional design. It is an abstract representation of architectural ornament such as is found prevelantly in Islamic architecture.
Owen Paul Meyer, Carpenter
Seattle, Washington USA
“My art all stems from an intuitive exploration into geometry, design, and algorithmic pattern. I have no formal education or training, outside of my carpentry background. I work with drawing, paper sculpture and woodworking (so far). I have a great love for Islamic ornament because of its basis in geometry and feel that other systems and styles of ornament still exist that have not yet been experienced.”
Another work by Anita Chowdry named Fractal Shamsa
The circular or star shape of the shamsa is universal, and mirrored in many natural structures. Fractal geometry is a way of describing naturalistic forms using repetitive mathematical equations, which build up complex images based on iterations of similar elements on different scales. The fractal shamsa drawing was built up using a computer programme called “Apophysis” which uses random iterated functions. The illuminator’s craft is replaced with the craft of manipulating coordinates on the complex number plane to create the image.
Julia Fractal Dragon by Anita Chawdry
The sinuous “Ajhda” or dragon of Iranian literature and undulating cloud patterns that appear extensively in Safavid illumination and marginal design derive their form from Chinese models. Intriguingly, certain fractal algorithms throw up similar shapes.
The Julia dragon was constructed using a computer programme called “Ultra Fractal” and is based on the classic Mandelbrot and Julia structures modified by a mathematician called Shigehiro Ushiki. The dragon or cloud shape comes from reiterated elements in exponentially growing and receding proportion.
Robert Bosch - Series of Islands
A simple closed curve (white/sand) divides a disk into two regions: inside (green/land) and outside (blue/water).
Robert Bosch, Artist/Professor of Mathematics
Oberlin College, Oberlin, Ohio
“I like to work with self-imposed constraints. For this series, I challenged myself to use simple closed curves to make “portraits” of symmetric two-component links. My method entailed converting a computer-generated drawing of the link into a symmetric collection of points, viewing the points as the cities of an instance of the traveling salesman problem (TSP), and then solving the TSP. When solving the TSP, I made sure that the salesman’s tour was symmetric, and I forced it to wind its way through the cities in such a way that when I colored the inside and outside of the tour, the resulting portrait of the link would do it justice.”