Quality control is very important in industry - Elias Schecke (18), Isabella Käming (16) and Alexander Allin (18) agree: for example, can a component be used in a car with a clear conscience, or is it faulty and could, in the worst case, cause an accident? In order to test components non-destructively, manufacturers look inside them, for example using X-ray machines and computer tomographs. However, the X-ray images must be interpreted correctly in order to reliably detect possible defects. Käming, Schecke and Allin have developed an impressive mathematical method for this. This enables them to reconstruct the exact position of a cube in space using only the shadow images. In principle, they hope that their approach could make industrial computer tomography faster and more reliable. They were awarded the "Prize for a work on the topic of 'Quality assurance through non-destructive testing'" at Jugend forscht 2016.