Abstract: In one embodiment, a method includes displaying an object including a set of non-coplanar faces. Each face includes a plurality of tiles where each tile includes a value in a plurality of values. An input is received to swap a first tile in the plurality of tiles with a second tile in the plurality of tiles. The method then determines if a match of more than two tiles of a same value results due to the swap. The match of more than two tiles occurs across multiple non-coplanar faces of the object. The method allows the swap if the match occurs, wherein allowing the swap includes replacing values for the more than two tiles from the multiple non-coplanar faces and disallows the swap if the match is not determined.

Abstract: A pick and place system comprises a pick and place nozzle. The nozzle includes a groove comprising tapered sides that feed into a depression at the bottom of the groove, and a plurality of air holes configured to allow air suction to attract a component and hold it in the groove in such a manner as to ensure that the component can be accurately placed. The system also comprises a tray configured to hold a plurality of components to be picked up and placed using the pick and place nozzle. The tray can be configured to hold the components in a precise location within the tray.

Abstract: A pick and place system comprises a pick and place nozzle. The nozzle includes a groove comprising tapered sides that feed into a depression at the bottom of the groove, and a plurality of air holes configured to allow air suction to attract a component and hold it in the groove in such a manner as to ensure that the component can be accurately placed. The system also comprises a tray configured to hold a plurality of components to be picked up and placed using the pick and place nozzle. The tray can be configured to hold the components in a precise location within the tray.