Edge Rounding

Joint work with Rupert Maleczek and Tomohiro Tachi.

We developed a tool to convert a polyhedron into edge rounded shape with curved creases. We replace each edge with a smoothly edge rounded cylinder and each vertex with a cone such that the surfaces join through curved creases. Read more in our paper.

Chicken-wire tessellation and its edge-rounded counterpart.
Edge-rounded Stanford bunny with cones at non saddle-shaped vertices.

The Grasshopper implementation will be available soon on food4rhino!

Preliminary work constructed curved folded designs of regular spherical polyhedra.

Curved crease folds of the spherical Platonic solids (Tetrahedron, Cube, Octahedron,
Dodecahedron and Icosahedron) and their developments.