  A novel approach for creating tool paths for continuous carbon
fiber-reinforced thermoplastic 3D printing is introduced. The aim is to enable
load-bearing connections while avoiding non-manufacturable crossings of paths
by generating layer specific patterns. We require a graph representation of the
structural design with given desired continuous fiber connections. From this,
optimal fiber patterns are obtained for each printing layer by solving linear
integer optimization problems. Each layer may have a unique solution based on
the history of the previous layers. Additionally, a path planning approach is
presented which interprets the obtained layers via curves based on quadratic
and cubic B\'ezier splines and their offset curves in constant distance. The
single parameter for the construction of the paths is the minimal turning
radius of the fibers. The path planning provides a new interpretation for the
final geometry of the design to be printed.
