Pyramids are some of the most fascinating and important structures in the world. In ancient times, one of the techniques architects and scientists used was the astronomical arrangement of culminating stars as a guide when building the pyramids. With this method, the structures could be built in perfect geometric form with incredible precision and extraordinary accuracy.
This accuracy was our driving force, determining the high precision when producing the PYRAMIS fractal pyramids.
The complexity of the factor 7 fractal pyramid required more computational resources than present in typical computers—to create the model, we had to rent a high performance server. The end result is determined by multiple parameters, which become apparent only after the model has been fully rendered. This process took weeks of computation with multiple iterations.
Due to the particular complexity of our model, commonly used software reaches its limits and produces bugs unknown to the developers. To successfully produce the model, the software required patches from our side.
Once a model has been successfully created, it still has to be converted into code that the 3D printer can interpret—again, a process in which parameter optimizations are required to ensure the highest possible quality and flawless prints. However, the results only become apparent after numerous test prints. For the final touch, the code is revised by hand.
The formula of the model is based on the Sierpiński triangle, developed by the Polish mathematician Wacław Franciszek Sierpiński. It consists of an equilateral triangle, which is divided according to certain rules—the fractal is "broken into pieces" (from Latin frangere).
These divisions are called iteration steps, in which the number of triangles increases and their size decreases. One will find the same or similar structures in various sizes. Hence, it is called a “self-similar” geometric shape.
Fractals can be observed in many areas of our daily life: in nature, biology, or art. In addition, the golden ratio, which humans perceive as harmonious and healing, can also be found in the shape of a pyramid.
The 3D print of the PYRAMIS fractal pyramid is carried out in numerous steps. The maximum length of a printed line is merely 1.2 mm. After that, the 3D printer changes direction, which is a very demanding process on the hardware. Each print is meticulously monitored and audited by us. It takes more than 80 hours to produce our centerpiece, the factor 7 fractal pyramid, which consists of 279,936 individual pyramids. The chances of failures in 3D-printing increases exponentially to the print time. In our case, this exceeds the industry average by far, leaving no room for errors.
Once your selected pyramid has been printed, it is fused to the wooden base in a special in-house developed process.
The wooden base is individually produced by local Carinthian carpenters and is made out of walnut—a precious wood that we specifically selected for our products.
Valued characteristics of the walnut tree are its dark brown heartwood, its lively grain and exceptional processing qualities. According to the spiritual Celtic tree circle, people born under the sign of the walnut tree are considered to be adaptable and open-minded. They are constantly growing, curious and adventurous. In their adventures, they always intend on getting to the bottom of things and are tempted by the unknown.
