Interlocking of Convex Polyhedra: towards a Geometric Theory of Fragmented Solids

Topological interlocking in buildings: A case for the design and construction of floors

“…Interestingly, in one of our examinations we studied a mid-plane grid TI type that was suggested earlier by Kanel-Belov et al [11]. It is based on rotated decagons, with partial edges' overlapping ( Fig.…”

“…The main difference between the terms seems to be that the idea of stereotomy focuses on the exploration of stone walls and curved or dome like structures, while topological interlocking refers to a more general geometrical and structural concept of structure, which is made with interlocking elements without defining the material or the potential use. A more recent development by Kanel-Belov et al [11] proposed the following theoretical definition of "topological interlocking"; It described a set of geometric rules occurring in TI and discovered several additional types of interlocking solids:…”

“…[11] An interesting review on stereotomic design, which focuses on the design and fabrication of wall and domed/curved ceilings can be found in a recent book by Fallacara and Minenna [4]. Another research, which was not included in the book and aims to create a commercial wall based on stereotomic design, can be found in Brocato et al [1].…”

Manufacture and Mechanics of Topologically Interlocked Material Assemblies

“…Other geometric configurations for the unit elements and the respective assemblies have been considered. Key rules for the construction of such architectured materials have been established for 2D regular lattices [19] and were recently extended to semiregular lattices [20]. With an origin in structural mechanics (Abeille's dome as reviewed in Ref.…”

Sandwich Panels with a Core Segmented into Topologically Interlocked Elements

“…[6,10] Another family of interlockable elements are elements with matching concavo-convex surfaces, such as osteomorphic block, [11][12][13][14][15][16] depicted in Figure 1. It includes special convex polyhedra, notably all Platonic bodies: tetrahedron, cube, octahedron, dodecahedron, and icosahedron.…”