This is number 3 of a series of 50 custom-designed, 3D-printed Julia Set models. Each one of the 50 is unique, made specially for you, and will never be printed again. Creating this particular model required hours of time on a custom-built high-performance workstation using software strictly of my own design. When you purchase this work, Shapeways will build it from high-strength nylon powder on an industrial 3D printer using a process called "Selective Laser Sintering" and will ship it directly to you.
In addition, I will send you a certificate of authenticity and give you the option of receiving a digital copy of the data that was used to make the print. I will also promptly remove the model from being offered for sale on the Shapeways web site. It will remain visible to future visitors as documentation of the work.
Because this particular model has not been printed (and will only be printed once), You will only be able to see sample renderings of the work. Any photographs above are of prototypes or prints from earlier in the series. Rest assured that these prints are of the highest quality available from current software and hardware technology.
Please note that prices will increase as the series is sold out. The first print will be sold at cost. Every subsequent work in the series will cost 10% more than the previous work. After 50, no more similar works will be produced.
This model is an instantiation of the mathematical construct called a Julia set. It is constructed voxel-by-voxel with an iterative function---if the function converges, that location is considered to be "inside" the set. The Julia Set can take on many different forms, depending on the initial quaternion used in the iteration. The initial quaternion for this particular instantiation of the Julia Set is 0.1, 0.2, 0.7, 0.7 with 10 iterations.