Tooling includes pattern and core box for sand casting, and metal mould for die casting as well as investment casting (for wax patterns). Their cost is driven by the material and manufacturing (mainly machining) of the tooling. The material is decided depending on the tool life required, which is in turn influenced by the order quantity. The tool manufacturing cost is driven by its geometric complexity.
The shape complexity X can be estimated from the solid model of the casting based on its surface area, volume and number of cored features as follows:

The area complexity factor is derived by comparing the surface area of a part with the surface area of a cube of equal volume. This is based on the assumption that a cube is the simplest shape (considering manufacturing, otherwise it should be a sphere) and has the least surface area for a given volume. Thus the area complexity factor for a cube is 0, and increases for other shapes. Hammering a cube into a plate increases its surface area, but not necessarily increase its geometric complexity significantly, as (erroneously) indicated by the area complexity factor. Hence we also consider the complexity introduced by other features, particularly those requiring cores. A part with no cores has a core complexity factor of 0. With just one core added, the factor jumps to 0.293. With every additional core, the factor becomes 0.423, 0.500 and 0.553. If the number of cores is already large, adding one more will not significantly increase the core complexity factor.






