Tiled backing mat system for an incremental sheet forming system with resilient tooling

A resilient planar tile for use within a backing mat of an incremental sheet forming (ISF) system having a planar, ferrous metallic rigid plate, the resilient tile comprising:

• a. a first material layer having a planar, upper compressible and resilient material surface and a lower planar surface;
• b. a second material layer having planar, upper and lower surfaces, the lower surface being magnetic;
• c. a third planar stiffening material layer having upper and lower surfaces, the stiffening material layer positioned between the lower surface of the first material layer and the upper surface of the second material layer;
• d. a fourth layer for permanently adhering the lower planar surface of the first material layer to the upper surface of the stiffening material layer;
• and
• e. a fifth layer for permanently adhering the lower surface of the stiffening layer to the upper surface of the second material layer.