Abstract: Embodiments disclosed herein provide systems and methods optimizing geometries. In one embodiment, a computer-implemented method is provided. The method includes receiving, at a programmed computing device, a geometry comprising a plurality of edges and selecting a set of edges from the plurality of edges based on an intersecting location in which two or more the edges intersect. For each edge of the set of edges, a density is determined that corresponds to the intersecting location for the set of edges. The method further includes determining a target density related to the intersecting location in view of an aggregate of the density associated with respective edges of the set of edges. The target density indicates a gradient of a falloff for the intersecting location.

Abstract: Generative design uses artificial intelligence to automatically create optimal designs from a set of system design requirements. A generative design system receives user-supplied design requirements and generates an optimized geometry by chaining iterative applications of computer aided generative design. In one aspect, the system uses the output of a first generative design process as a requirement of or as part of the design requirements for a second generative process, with or without intervening user input. In another aspect, the system enables designers to incrementally or iteratively specify and edit design requirements such that each resulting geometry is derived from a previously or most recently generated optimized geometry and optionally updated design requirements. The system, by using or reusing outputs and/or data from previous design iterations can produce subsequent designs more efficiently and quickly.

Abstract: Embodiments disclosed herein provide systems and methods optimizing geometries. In one embodiment, a computer-implemented method is provided. The method includes receiving, at a programmed computing device, a geometry comprising a plurality of edges and selecting a set of edges from the plurality of edges based on an intersecting location in which two or more the edges intersect. For each edge of the set of edges, a density is determined that corresponds to the intersecting location for the set of edges. The method further includes determining a target density related to the intersecting location in view of an aggregate of the density associated with respective edges of the set of edges. The target density indicates a gradient of a falloff for the intersecting location.

Abstract: Embodiments disclosed herein provide systems and methods optimizing geometries. In one embodiment, a computer-implemented method is provided. The method includes receiving, at a programmed computing device, a geometry comprising a plurality of edges and selecting a set of edges from the plurality of edges based on an intersecting location in which two or more the edges intersect. For each edge of the set of edges, a density is determined that corresponds to the intersecting location for the set of edges. The method further includes determining a target density related to the intersecting location in view of an aggregate of the density associated with respective edges of the set of edges. The target density indicates a gradient of a falloff for the intersecting location.

Abstract: A bidirectional gear set includes a male bidirectional gear component having an array of addendum teeth and a female bidirectional gear component having an array of dedendum sockets, wherein each dedendum socket has a full boundary edge around an open end thereof. One or both of the male and female gear components may have a circular cross sectional geometry, or one may have a non-circular cross sectional geometry. The non-circular cross sectional geometry may be a flat sheet or a sheet with surface contour. In an intermeshed state, neither the male nor the female component can ‘slide’ relative to the other regardless of whether the male and female components are arranged in a parallel or perpendicular orientation. A method of making a bidirectional gear set is disclosed.

Abstract: Embodiments disclosed herein provide systems and methods optimizing geometries. In one embodiment, a computer-implemented method is provided. The method includes receiving, at a programmed computing device, a geometry comprising a plurality of edges and selecting a set of edges from the plurality of edges based on an intersecting location in which two or more the edges intersect. For each edge of the set of edges, a density is determined that corresponds to the intersecting location for the set of edges. The method further includes determining a target density related to the intersecting location in view of an aggregate of the density associated with respective edges of the set of edges. The target density indicates a gradient of a falloff for the intersecting location.

Abstract: A construction kit comprises a plurality of building modules, wherein at least one of the building modules is functional and adapted to perform a specific behavior. In some embodiments, each of the building modules includes at least one connection face adapted to pass either data or power from a first face of a first building module to a first face of a second building module. In certain other embodiments, each connection face of the building modules is electrically connected with each of the other faces. The kit includes at least one connector adapted to couple the at least one functional module to at least one other module while providing up to three degrees of freedom between the functional module and the at least one other module.

Abstract: A bidirectional gear set includes a male bidirectional gear component having an array of addendum teeth and a female bidirectional gear component having an array of dedendum sockets, wherein each dedendum socket has a full boundary edge around an open end thereof. One or both of the male and female gear components may have a circular cross sectional geometry, or one may have a non-circular cross sectional geometry. The non-circular cross sectional geometry may be a flat sheet or a sheet with surface contour. In an intermeshed state, neither the male nor the female component can ‘slide’ relative to the other regardless of whether the male and female components are arranged in a parallel or perpendicular orientation. A method of making a bidirectional gear set is disclosed.

Abstract: A media punch includes an outer cutter configured to cut a fractional outer border pattern in a media sheet. The media punch also includes an inner cutter configured to cut a fractional inner pattern in a media sheet. The fractional inner pattern is interior to the fractional outer border pattern within the media sheet. The media punch also includes a selector configured to move between an outer cut position to engage the outer cutter alone, an inner cut position to engage the inner cutter alone, and a combination cut position to engage both the inner cutter and the outer cutter.