This article presents the design of RecoNoC: a compact, highly flexible FPGA-based network-on-chip (NoC), that can be easily adapted for various experiments. In this work, we enhanced this NoC with dynamically reconfigurable shortcuts. These can be used to alter the NoC's topology to adapt to the system's communication needs. The design has been implemented and tested on a Xilinx Virtex-2 Pro FPGA, using the TMAP dynamic datafolding toolflow to automatically generate the reconfigurable hardware and the software reconfiguration procedures. The results show that, using dynamic datafolding, the overhead of introducing this shortcut mechanism is limited.