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 ...

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.

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 ...

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.

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.