609.00 Instability of Polyhedra from Polygons of More Than Three Sides Fig. 609.01 609.01 Any polygon with more than three sides is unstable. Only the triangle is inherently stable.
Any polyhedron bounded by polygonal faces with more than three sides is unstable.
Only polyhedra bounded by triangular faces are inherently stable. By structure, we mean a self-stabilizing pattern. The triangle is the only self- stabilizing polygon. By structure, we mean omnitriangulated. The triangle is the only structure.