For most people, the word “polyhedron” conjures up an image of a cube, a tetrahedron, or something similar—a solid figure with flat faces. If the polyhedron is regular, each face has the ...

In nature, protein subunits on the capsids of many icosahedral viruses form rotational patterns, and mathematicians also incorporate asymmetric patterns into faces of polyhedra. Chemists have ...

But to a geometer, polyhedra require planar faces," Schein said. So Schein and his colleague James Gayed decided to examine whether Goldberg-like shapes could form actual polyhedra. A new paper in ...