A 3D thermoplastic pultrusion system and method based upon a 3D variable die system and including one or more sets of 3D thermoplastic forming machines to continuously produce thermoplastic composite pultrusions with at least one of varying cross-section geometry and constant surface contours, varying cross-section geometry and varying surface contours, and constant cross-section geometry and varying surface contours. The 3D thermoplastic pultrusion system and method including at least one of one or more pairs of shapeable and flexible dual-temperature bands and a rotating assembly that rotates the one or more sets of 3D thermoplastic forming machines to impart a twist to the thermoplastic composite.

A 3D thermoplastic pultrusion system and method based upon a 3D variable die system and including one or more sets of 3D thermoplastic forming machines to continuously produce thermoplastic composite pultrusions with at least one of varying cross-section geometry and constant surface contours, varying cross-section geometry and varying surface contours, and constant cross-section geometry and varying surface contours. The 3D thermoplastic pultrusion system and method including at least one of multiple pairs of shapeable and flexible bands and a rotating assembly that rotates the one or more sets of 3D thermoplastic forming machines to impart a twist to the thermoplastic composite.

A connector includes an elongated member. The elongated member includes a longitudinal axis of the elongated member and further includes a top side and a bottom side. The top side includes a first planar surface and a second planar surface joined at 144 degrees from each other, wherein each of the first planar surface and the second planar surfaces are parallel to the longitudinal axis. The bottom side includes a third planar surface parallel to the longitudinal axis and oriented at an angle with the first planar surface, the angle selected from one of 108 degrees and 126 degrees.

A panelized complex polyhedron structure can be constructed quickly and inexpensively from a plurality panels. According to one embodiment, the structure includes a plurality of panels, wherein a first panel comprises an integrated connecting feature formed unitarily with the first panel and including a faceted feature connected to a plain end of a second panel. According to another embodiment, the first panel includes integrated connecting features including a plurality of planar faceted features, wherein one of the faceted features is connected to a plain end of the second panel. The plurality of planar faceted features are oriented at angles selected to enable a plurality of panel connections necessary to construct the structure. In one embodiment, the panel comprising the integrated connecting features is formed unitarily.

A method for designing a structure includes selecting an initial cage, defining a secondary cage by positioning a plurality of tiles, reduced tiles, or larger patches obtained or derived from a selected one of the uniform Archimedean tilings over the faces of the initial cage, resizing edges of the secondary cage such the cage is equilateral, and planarizing the cage faces. In an embodiment the patch comprising a network of edges and vertices from a uniform tiling decorates the faces of a polyhedron to define a non-polyhedral cage that is transformed by planarizing the faces. In an embodiment the secondary cage comprises tiles derived from an Archimedean tiling that decorate faces of the initial cage comprising a polyhedron. In an embodiment the secondary cages resemble a nanotube.

A pre-fabricated dome and a spherical structure include strut assembly sets, into which glass panels or synthetic resin transparent plates are to be inserted, are assembled into 5 sets of hexagonal modular assemblies around a pentagonal assembly to build a primary pentagonal modular assembly, and further 5 sets of primary pentagonal modular assemblies, into which upper and lower, (outer and inner) struts are assembled in 2 layers (of outer and inner walls), are interconnected to build a semi-spherical dome, and if 12 sets of primary pentagonal modular assemblies are assembled, a solid cylindrical structure can be built to provide a perfect block between the outdoor and the indoor so that the room temperature will not be affected at all by the outdoor temperature.

A 3D thermoplastic pultrusion system and method based upon a 3D variable die system and including one or more sets of 3D thermoplastic forming machines to continuously produce thermoplastic composite pultrusions with at least one of varying cross-section geometry and constant surface contours, varying cross-section geometry and varying surface contours, and constant cross-section geometry and varying surface contours.

A 3D thermoplastic pultrusion system and method based upon a 3D variable die system and including one or more sets of 3D thermoplastic forming machines to continuously produce thermoplastic composite pultrusions with at least one of varying cross-section geometry and constant surface contours, varying cross-section geometry and varying surface contours, and constant cross-section geometry and varying surface contours.

A 3D thermoplastic pultrusion system and method based upon a 3D variable die system and including one or more sets of 3D thermoplastic forming machines to continuously produce thermoplastic composite pultrusions with at least one of varying cross-section geometry and constant surface contours, varying cross-section geometry and varying surface contours, and constant cross-section geometry and varying surface contours.

A 3D thermoplastic pultrusion system and method based upon a 3D variable die system and including one or more sets of 3D thermoplastic forming machines to continuously produce thermoplastic composite pultrusions with at least one of varying cross-section geometry and constant surface contours, varying cross-section geometry and varying surface contours, and constant cross-section geometry and varying surface contours.