Innovative materials, like carbon-reinforced concrete, are opening up new avenues for building design and construction. However, to fully leverage the potential of these materials, it's important to use intelligent construction techniques. One such technique is to build Hollow Core slab systems using special carbon “Netzgitterträger” (NetzGT) reinforcement structures (textile lattice girder) instead of conventional steel lattice girder. This approach can significantly reduce the amount of concrete material required compared to that of conventional Hollow Core ceilings or floor slabs made with prefabricated filigree slabs and cast-in-place concrete supplement. This results in cost savings and a lower carbon footprint. The basic reinforcement used here is a development of the TU Dresden. Hereby an optimized topology for the NetzGT element with trapezoidal geometry, featuring a net-shaped fabricated textile made of multiple diagonally offset rovings with overlapping edge strands was developed.