The difficult part was incorporating the constraints. “We really had to think outside the box because standard tools didn’t get us there,” says Dodik.
The specialists drew on the three-sided barycentric arranges Möbius presented almost a long time back. While modern cages are significantly more complex than triangles, these triangular coordinates are straightforward to compute and satisfy all necessary constraints.
To overcome any issues, the scientists’ strategy covers a shape with covering virtual triangles that interface trios of focuses outwardly of the enclosure.
“Each virtual triangle characterizes a legitimate barycentric coordinate capability. We simply need an approach to consolidating them,” she says.