A foldable tubular construct/element with one rigid degree of freedom is of a tubular construction formed by a number of single layered annular units which are connected in sequence; each single layered annular unit is of a prism having N ridge lines; two adjacent prisms each having N sides are connected to each other by sharing a polygon with N sides formed on an intersection plane; each prism with N ridge lines is composed of N rigid planar quadrilateral facets; two adjacent single layered annular units comprise N spherical mechanisms formed by the intersections of only four planar quadrilateral facets at each apex; the polygon having N sides formed in the intersection plane of the two adjacent single layered annular units is a planar polygon with an arbitrary number of sides greater than for a triangle; the ridge lines of each prism having N ridge lines are parallel to each other; the connecting ridge lines of the tubular element are coplanar; when the polygon having N sides formed in the intersection plane of the two adjacent single layered annular units is a line-symmetric polygon of even number of sides with at least one diagonal symmetric axis, the plane in which connecting ridge lines of the tubular element are located is perpendicular to one diagonally symmetric axis.

An expanded metal produced by repeated penetration of a movable cutting die including teeth into a metal sheet that is run through an expansion device in a feed direction, the expanded metal including a plurality of loops, wherein the loops include bars that envelop loop openings and that are connected in nodes, wherein each of the loops includes a loop opening length measured in the feed direction along a line from a node center to node another center of two nodes that are arranged behind one another in the feed direction, wherein each of the loops includes a loop opening width that is measured transversal to the feed direction along a line from a node center to a node center of two nodes that are arranged adjacent to each other transversal to the feed direction.

An expanded metal produced by repeated penetration of a movable cutting die including teeth into a metal sheet that is run through an expansion device in a feed direction, the expanded metal including a plurality of loops, wherein the loops include bars that envelop loop openings and that are connected in nodes, wherein each of the loops includes a loop opening length measured in the feed direction along a line from a node center to node another center of two nodes that are arranged behind one another in the feed direction, wherein each of the loops includes a loop opening width that is measured transversal to the feed direction along a line from a node center to a node center of two nodes that are arranged adjacent to each other transversal to the feed direction

A grating for a support structure includes a piece of metal including a perimeter edge and a surface bound by the perimeter edge. The piece of metal defines an array of uniform surface modifications on the surface of the piece of metal. The uniform surface modifications are arranged in a repeated pattern across the surface. The repeated pattern of uniform surface modifications is consistent across the surface but for at least a pair of spaced apart areas of inconsistency where the uniform surface modifications are not formed in the surface. Each area of inconsistency is surrounded on all sides by the array of uniform surface modifications. The pair of areas of inconsistency provides an indication of where to attach a structure to the grating.

A drainage and ventilation mat for use in building exterior walls, roofs and basement assemblies that addresses all three of the following major concerns: drainage, cross ventilation/air flow, and compressive strength. The drainage and ventilation mat includes two layers of parallel, square strands that are overlaid at angles to create a diamond-shaped netting of two layers which provides an air space for horizontal and vertical air movement and protects the drainage plane behind it. The mat features a high compressive strength that creates an air space that can withstand extreme construction and environmental forces. The netting is configured with or without a scrim to accommodate a variety of exterior wall, roof and basement assemblies drainage and ventilation needs.

A grating for a support structure includes a piece of metal including a perimeter edge and a surface bound by the perimeter edge. The piece of metal defines an array of uniform surface modifications on the surface of the piece of metal. The uniform surface modifications are arranged in a repeated pattern across the surface. The repeated pattern of uniform surface modifications is consistent across the surface but for at least a pair of spaced apart areas of inconsistency where the uniform surface modifications are not formed in the surface. Each area of inconsistency is surrounded on all sides by the array of uniform surface modifications. The pair of areas of inconsistency provides an indication of where to attach a structure to the grating.

An architectural structure for constructing a variety of goods in a variety of configurations is provided. The architectural structure includes a plurality of paired slat-like members and a spine configured to hold the plurality of paired slat-like members in an expanded state. Each paired slat-like members includes joined upper ends, joined lower ends and an expandable central region joined to an adjacent paired slat-like members.

A grid plate for laying mosaic tile preferably includes a grid plate member and detachable tile trowels and/or depth tools. The grid plate member includes a plurality of transverse strips, a plurality of lengthwise strips, and a plurality of retention elements. The plurality of transverse and lengthwise cross strips form a grid pattern. It is preferable that a top of the plurality of transverse and lengthwise strips be brought to an edge to facilitate the distribution of thinset. The plurality of retention elements are integrally molded into the grid pattern to secure the grid plate to a tile cavity.

An architectural structure for constructing a variety of goods in a variety of configurations is provided. The architectural structure includes a plurality of paired slat-like members and a spine configured to hold the plurality of paired slat-like members in an expanded state. Each paired slat-like members includes joined upper ends, joined lower ends and an expandable central region joined to an adjacent paired slat-like members.

Foldable tubular construct/element with one rigid degree of freedom is of a tubular construction formed by a number of single layered annular units which are connected in sequence; each single layered annular unit is of a prism having N ridge lines; two adjacent prisms each having N sides are connected to each other by sharing a polygon with N sides formed on an intersection plane; each prism with N ridge lines is composed of N rigid planar quadrilateral facets; two adjacent single layered annular units comprise N spherical mechanisms formed by the intersections of only four planar quadrilateral facets at each apex, where N is a number greater than 3.