For any finite set of points in the euclidean space, their convex hull will be a convex polyhedron. For any natural number and any positive real number consider the following problem: find points that give rise to a polyhedron with volume and least possible surface area.
In 2017, S. Akiyama proposed a series of solutions for ranging from 4 to 12. Informally, the community started calling them Akiyama polyhedra or akiyamahedra. A full set of STL files for the akiyamahedra was then shared on IMAGINARY.
In this project, we explore the use of akiyamahedra in outreach. We 3D print a series of akiyamahedra with same volume an infill at 100% or 0%. With 100% infill, volume is roughly proportional to weight. With 0% infill, surface area is roughly proportional to weight.
We plan to add pedagogical / outreach use case scenarios to IMAGINARY where the stl files are shared.