A polyhedron with seven faces, 14 vertexes, 21 edges, and a hole makes an intriguing lamp. Skip to content. Subscribe or renew today Every print subscription comes with full digital access.

One way to approach the problem is to consider what happens when a vertex of one polyhedron pierces the face of another. A tetrahedron, for example, has four triangular faces and four vertices.

Our approach to forming DNA polyhedra is a one-pot self-assembly process illustrated in Fig. 1: individual single strands of DNA first assemble into sticky-ended, three-point-star motifs (tiles ...

Chemists have created a molecular polyhedron, a ground-breaking assembly that has the potential to impact a range of industrial and consumer products, including magnetic and optical materials.

During this work, Schein came across the work of 20th century mathematician Michael Goldberg, who described a set of new shapes that have been named the Goldberg polyhedra.