A mathematician has described a previously unknown geometric shape with eight faces and three holes, a type of polyhedron known as genus 3. The researcher argues that this shape can actually exist in the physical world, a claim that is not easy to prove for such unusual forms.
Most familiar polyhedra are simpler, and finding a new one with this kind of topology is rare. The main challenge is showing that the shape can be realized without self-intersections or other impossible features. The new work is presented as an argument for its existence, rather than a physical construction.
If the argument holds up, the shape would be a genuine addition to the catalog of known polyhedra. It also serves as a reminder that even well-studied areas of mathematics can still yield surprises.