VI.—Miniature Domes in Sand

A Tale of Two Domes

Encoding Fullerenes and Geodesic Domes

Coxeter’s classification of the highly symmetric geodesic domes (and, by duality, the highly symmetric fullerenes) is extended to a classification scheme for all geodesic domes and fullerenes. Each geodesic dome is characterized by its signature: a plane graph on twelve vertices with labeled angles and edges. In the case of the Coxeter geodesic domes, the plane graph is the icosahedron, all ang...

Small cuticular domes are strain receptors.

JJEE BB CC llaa ssss iicc ss JEB Classics is an occasional column, featuring historic publications from The Journal of Experimental Biology. These articles, written by modern experts in the field, discuss each classic paper’s impact on the field of biology and their own work. A PDF of the original paper accompanies each article, and can be found on the journal’s website as supplemental data. SM...

Zipper Unfoldability of Domes and Prismoids

We study Hamiltonian unfolding—cutting a convex polyhedron along a Hamiltonian path of edges to unfold it without overlap—of two classes of polyhedra. Such unfoldings could be implemented by a single zipper, so they are also known as zipper edge unfoldings. First we consider domes, which are simple convex polyhedra. We find a family of domes whose graphs are Hamiltonian, yet any Hamiltonian unf...

Convex Regions in the Plane and Their Domes