Abstract: A tray system has a tray with a top surface and a plurality of wells arranged side-by-side. Each well is adapted to receive an end portion of a ringed instrument and to hold the ringed instrument in an on-edge fashion on the top surface of the tray. The tray system further includes a removable instrument roll supported by the tray and fully detachable and removable from the tray. The removable instrument roll is disposed above the plurality of wells when supported by the tray. The removable instrument roll has opposing spatially separated endplates and one or more cross members, each cross member connected to both endplates. At least one cross member is adapted to engage a handle of each ringed instrument disposed in one of the wells and to spread that ringed instrument into an open position when the tray supports the instrument roll.

Abstract: A hierarchical 3D graphics model can be viewed as a hierarchical graph of its nodes and their associated motions, with the mathematical type of motions graphically indicated. A user can click on a displayed motion to edit it. A motion API provides one or more of the following features: (1) spatial predicate functions; (2) functions for scaling motion intensity; (3) classes for shake, spin, and swing motions; (4) motion classes with a GUI interfaced for defining their duty cycle; (5) functions for defining and computing 0th through 2nd order derivatives of 3D position and orientation as function of time; (6) behaviors that constrain motions by boundaries in which the constraint is a reflection, clamp, andor onto constraint, or in which the boundary is a composite boundary. Motions can be defined by successive calls to an API and then be saved in a file.