Origami has been a passion of mine since elementary school, but I only really started coming up with unique designs after being introduced to purely geometric origami much later. Today I create abstract patterns based on mathematical concepts with the aid of computer programs for design, and a cutting plotter for precise execution.
I love being able to use math to create beautiful objects, or even better, show the beauty of math through them.
This model is based on a classic origami tesselation, but instead of using a regular euclidean tiling, it is modeled after a tiling of heptagons in the Poincaré disk model of the hyperbolic plane. Towards the boundary of the disk, the heptagons in the tiling become smaller, as do the twisted peaks in the model. This work was folded from a single sheet of paper, prepared with a cutting plotter.
This curved-crease tesselation is based on an irregular circle packing computed with the great software 'CirclePack' by Ken Stephenson. Each 'hole' in the pattern corresponds to a circle, with is tangent to the circles corresponding to the adjacent holes. It was folded from a single sheet of paper, prepared with a cutting plotter.
I got the idea for the 'Intersecting Cylinders' series during discussions with Djordje Jovanovic and Robert Lang at the Outdoor Origami Meeting in Kraków in 2016.