Girih for Domes: Analysis of Three Iranian Domes

A Tale of Two Domes

Sphere Packing for Regularisation of Lattice Domes

The paper provides a methodology for finding a family of patterns for lattice domes, created based on the “Surface Sphere Packing” concept. The patterns have a high degree of regularity in the sense of a high percentage of the elements being of the same length. Also, parametric formulation for generating such patterns are discussed. This gives an opportunity for creating more regular patterns w...

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...

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...

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...