Abstract: Tiles having a matrix of interconnected vaults on its underside surface provides space for flow of heated or conditioned air, passages for electrical service conduits and wiring, or passages for drainage. In particular, each tile may comprise a solid rigid body having a substantially planar upper surface and thickness substantially less than upper surface linear dimensions. The underside surface has a set of concavities forming a matrix of vaults bounded and interconnected by archways. Each archway is characterized by a rise dimension that is less than a span dimension. The matrix of vaults defines a set of pendentives at each vault corner whose load-bearing bases are all substantially coplanar with one another so as to contact a supporting subfloor. Edges of the tile body have corresponding alternating laterally projecting extensions and indentations for forming (with some desired leeway) mortise-and-tenon joints between adjacent tiles.

Abstract: Tiles having a matrix of interconnected vaults on its underside surface provides space for flow of heated or conditioned air, passages for electrical service conduits and wiring, or passages for drainage. In particular, each tile may comprise a solid rigid body having a substantially planar upper surface and thickness substantially less than upper surface linear dimensions. The underside surface has a set of concavities forming a matrix of vaults bounded and interconnected by archways. Each archway is characterized by a rise dimension that is less than a span dimension. The matrix of vaults defines a set of pendentives at each vault corner whose load-bearing bases are all substantially coplanar with one another so as to contact a supporting subfloor. Edges of the tile body have corresponding alternating laterally projecting extensions and indentations for forming (with some desired leeway) mortise-and-tenon joints between adjacent tiles.

Abstract: A pot hanger with downwardly extending pot clamping portions, the portions including a double hairpin bend section for engaging the upper rim of a pot collar, a thrust section extending angularly downward away from the double hairpin bend section for supporting a cantilever section extending from the thrust section back toward the double hairpin bend while simultaneously supporting the lower edge of the pot collar. The cantilever sections of opposed clamping portions face in opposite directions so that a pot may be braced against twisting and rotational forces.