In one embodiment, a system comprises a first baseboard element, a second baseboard element, and a spline configured to couple with the first baseboard element and the second baseboard element. In another embodiment, a system comprises a first crown element, a second crown element, and a spline configured to couple with the first crown element and the second crown element. In another embodiment, a system comprises a crown spline, a baseboard spline, and a wall element configured to be coupled with the crown spline and the baseboard spline. Other embodiments are disclosed herein.

In some embodiments, a method is disclosed for analyzing a path of an object over a time series in a physical space. The method includes receiving, at a first time in the time series from a device in the physical space, first data pertaining to an initiation event of the path of the object in the physical space. The method also includes receiving, at a second time in the time series from one or more smart floor tiles in the physical space, second data pertaining to a location event caused by the object in the physical space. The location event includes an initial location of the object in the physical space. The method also includes correlating, via a processing device, the initiation event and the initial location to generate a starting point of the path of the object in the physical space.

Adjustable molding assemblies and methods for bridging a gap between building elements are provided. The molding assembly includes a molding that includes a cover portion with opposing ends that are configured to contact outer surfaces of adjacent building elements. At least one flexible attachment portion extends from a lower surface of the cover portion, the at least one attachment portion including one or more interlocking elements. A track includes one or more grooves for receiving the attachment portion. One or more complementary interlocking elements are associated with each groove for retaining the attachment portion.

In some embodiments, a system includes a set of moulding sections, at least one electrical conductor affixed at least partially within one or more of the set of moulding sections, and one or more joints between various ones of the set of moulding sections. At least some of the one or more joints are arranged to preserve electrical conductivity, via the at least one electrical conductor, between the various ones of the set of moulding sections.

A decorative interior trim piece is provided for use in a low voltage power transmission system, and includes an outer, decorative surface, an opposite inner surface facing a substrate, a first end surface and an opposite second end surface. At least one conductive element extends from the first end surface to said second end surface on the inner surface. Each conductive element has a connector surface at each of the first end and second ends. At least one magnetic fastener is secured to the inner surface for releasably attaching the trim piece to the substrate. A complementary low voltage power transmission system is also disclosed.

A system for crown molding that enables safely incorporating electrical and communications cabling within crown molding by creating one or more protected paths which inherently prevent overly sharp bends in crown molding corners and by mitigating damage from penetrating punctures through a decorated face designed to fracture when improperly penetrated by a screw or nail, and enables the secure installation of hardware either concealed within the molding or securely and favorably positioned through the decorative face to view or sense a room, and enables additional cable capacity that is concealed within a light reflector to increase lighting efficacy as well as power and data delivery capacity.

An ornamental beam includes a sleeper and a cover. The sleeper preferably has a plurality of sleeper support ribs that may have a bore therethrough. The cover preferably has a plurality of cover support ribs. When the ornamental beam is assembled with the cover covers the sleeper. A method for installing the ornamental beam is also described.

A baseboard element including a nose portion, a riser portion, and a wall groove portion coupled to the riser portion. The nose portion includes a nose bottom section and a nose face section. The riser portion includes a riser section extending approximately perpendicular to the nose bottom section and a riser bend coupled to the nose portion. The riser section is substantially planar and defines a plane. The nose portion is positioned only on a first side of the plane defined by the riser section, and the wall groove portion is positioned only on a second side of the plane, the second side opposite the first side. The nose bottom section comprises a nose bottom edge at a terminal end of the nose bottom section. No structure of the baseboard element extends beyond the terminal end of the nose bottom section from the terminal end. The nose bottom edge of the nose bottom section is either approximately at the plane or closer to the plane than the nose face section is to the plane. Other embodiments are also provided.

A system for crown molding that enables safely incorporating electrical and communications cabling within crown molding by creating one or more protected paths which inherently prevent overly sharp bends in crown molding corners and by mitigating damage from penetrating punctures through a decorated face designed to fracture when improperly penetrated by a screw or nail, and enables the secure installation of hardware either concealed within the molding or securely and favorably positioned through the decorative face to view or sense a room, and enables additional cable capacity that is concealed within a light reflector to increase lighting efficacy as well as power and data delivery capacity.

A unitary longitudinal wall attached structure of consistent profile for installation on a wall having an attachment portion which is securely affixed to the wall, an inherently flexible pivot or hinge portion whose upper end is attached to the attachment portion and whose lower end is attached to a rigid pivoting body whose center of mass is below and spaced outwardly from the wall relative to the hinge portion and gravity when preferably installed, where the wall is angled no more than 45 degrees and is secured to the larger structure within which the wall attached structure is to be installed, with said installation enabling an intra-structural pendulum where the secured attachment portion anchors the pendulum, and the inherently flexible hinge portion enables the pivoting body as it urges its lower contact surface against the wall.