the parallelepipeds 1 x 1 x 1, 1 x 2 x 3, 3 x 3 x 3, 5 x 5 x 5 can be constructed by using the given pieces;

the parallelepipeds 2 x 2 x 1, 4 x 2 x 1, 4 x 4 x 4 cannot be constructed by using the given pieces.

3] then the parallelepiped cannot be constructed from the given pieces.

Unfortunately even if the system has integer solutions this does not mean that the corresponding parallelepiped can be constructed, so we need the second step for proving that the parallelepiped can be constructed if at most one of the numbers [k.

List of geometrical features and the form and position tolerance objectives envisioned from their built Geometrical feature Form and position tolerances-- objective Plane in

parallelepipeds and Flatness,parallelism, linear cubes accuracy, straightness, repeatability, perpendicity, Cylindrical surfaces in solid Concentricity, roundness, or cylindrical holes with coaxiality horizontal and vertical axes Thin walls Capability to build this type of features Spherical surfaces in sphere Roundness, symmetry or hemispheres Overhang features such us in Capability to build this type of horizontal holes etc.

Three-dimensional numerical simulation of solidification of high density polyethylene (HDPE) in a parallelepiped shaped extrudate is accomplished using a cell model for spherulite growth on a microscopic level under quiescent conditions and coupled with an enthalpy based heat transfer equation on the macroscopic level.

We investigate the crystallization of HDPE in an elongated parallelepiped, which resembles an extrudate with a square cross section (see Fig.

Since in the extrusion process, extrudates are cooled by a cross-flowing quench fluid, we will cool the parallelepiped with the help of an air stream blowing across its longitudinal axis.

On combining Eqs 7 and 8, the energy balance equation for the parallelepiped domain considered in Fig.

Since the parallelepiped representing a real extrudate is a three-dimensional object, the distribution of various variables inside the extrudate at any stage of crystallization will also be three-dimensional in nature.

On applying the argument of symmetry of the parallelepiped domain, one can see that it leads to a constant temperature everywhere inside the extr udate.

20] = 0 Table 7 The joint variables of a

parallelepiped grasping Finger 1 [q.