The　roton-like　dispersion　has　recently　been　realized　in　elastic　metamaterials　through　the　introduction　of　the　nonlocal　effect,　which　is　facilitated　by　beyond-nearest-neighbor　interactions.　Here,　we　propose　an　innovative　but　simple　reconfigurable　structure　composed　of　a　rectangular　beam　integrated　with　an　array　of　oblique　quadrangular　prisms.　This　design　leverages　structural　symmetry　to　control　wave　coupling,　enabling　precise　tuning　of　dispersion　characteristics　and　the　creation　of　extremum　points　(EPs).　By　manipulating　the　symmetry　and　coupling　mechanisms,　we　can　selectively　design　structures　that　promote　the　interaction　of　specific　wave　types,　achieving　targeted　dispersion　patterns.　Through　this　inverse　design　approach,　we　can　control　the　number　and　location　of　EPs,　effectively　customizing　the　dispersion　profile　to　meet　desired　specifications,　including　the　realization　of　maxon-like　and　roton-like　dispersions.　Comprehensive　simulations　and　experimental　validation　have　confirmed　the　feasibility　of　achieving　high-precision　control　over　the　dispersion　characteristics.　This　groundbreaking　approach　paves　the　way　for　advanced　wave　manipulation　in　elastic　metamaterials.