We study the topological properties of rhombohedrally stacked $N$-layer Su-Schrieffer-Heeger networks with interlayer coupling. We find that these systems exhibit $2N$-fold degenerate zero-energy edge states with winding number $W=N$, providing a direct route to high winding number topological phases where $W$ equals the layer number. Using effective Hamiltonian theory, we demonstrate that the winding number scales linearly with $N$ through a layer-by-layer topological amplification mechanism. We introduce the Wigner entropy as a detection method for these edge states, showing that topological edge states exhibit significantly enhanced Wigner entropy compared to bulk states. Our results establish rhombohedral stacking as a systematic approach for engineering high winding number topological insulators with potential applications in quantum information processing.

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• Topological phase transition
• Topological phases of matter
• Layered crystals
• Free-electron model