Cassie Mullins

Graduate Student
Department of Visualization, Texas A&M University
College Station, Texas
Voronoi Tesselation allows us to create space-filling tiles in a 2D space. When the positions of the sites used in this tesselation are translated a series of 2D tiles are created, which are then stacked on top of each other to create 3D lofted structures. In this particular work, the sites used are the points on space-filling fractal curves. In each successive layer, the points are translated along the curve to create these beautiful twisting structures.
Fractal Voronoodles
Fractal Voronoodles
00:04:23
Dr. Ergun Akleman, Dr. Vinayak Krishnamurthy, and Matthew Ebert
2022
https://youtu.be/3MB3P7AmiSY
In this film, the process of creating these 3D lofted shapes is demonstrated with a number of different space-filling curve examples. We start with the curve itself and then interpolate the points along the curve. Then the tiling for this 2D space is shown, before finally the resulting 3D structure is created layer by layer. These tiles are both geometrically beautiful and mesmerizing to watch and have interesting applications in art, computer graphics, and engineering.