Honeycomb core sandwich panels have found extensive applications particularly in the aerospace and naval industries. In view of the recent interest in alternative, yet strong and lightweight materials, honeycomb cores are manufactured from sisal fiber-reinforced polypropylene (PP) composites and the out-ofplane compressive behaviour of these cores is investigated. The cell wall material is mode...

Hexagonal honeycomb structures are known for their high strength and low weight. We construct a new class of fractal-appearing cellular metamaterials by replacing each three-edge vertex of a base hexagonal network with a smaller hexagon and iterating this process. The mechanical properties of the structure after different orders of the iteration are optimized. We find that the optimal structure...

WHEN the elliptic plane is derived from a sphere by identifying antipodal points, the five convex regular solids inscribed in the sphere yield five regular tessellations of the elliptic plane: arrangements of equal regular polygons fitting together to fill the plane without interstices. The actual cases are exhibited in Table I, where the last column indicates that, since the tetrahedron lacks ...

In a former paper [18] a method is described that determines the data and the density of the optimal ball or horoball packing to each Coxeter tiling in the hyperbolic 3-space. In this work we extend this procedure – based on the projective interpretation of the hyperbolic geometry – to higher dimensional Coxeter honeycombs in H, (d = 4, 5), and determine the metric data of their optimal ball an...