  Two-dimensional ferromagnetic nanodot structures exhibit intriguing
magnetization dynamics and hold promise for future magnonic devices. In this
study, we present a comparative experimental investigation into the
reconfigurable magnetization dynamics of non-ellipsoidal diamond and
triangular-shaped nanodot structures, employing broadband ferromagnetic
resonance spectroscopy. Our findings reveal substantial variations in the spin
wave (SW) spectra of these structures under different bias field strengths (H)
and angles ({\phi}). Notably, the diamond nanodot structure exhibits a
variation from nearly symmetric W-shaped dispersion to a skewed dispersion and
subsequent transition to a discontinuous dispersion with subtle variation in
bias field angle. On the other hand, in the triangular nanodot array a SW mode
anti-crossing appears at {\phi} = 15{\deg} which is starkly modified with the
increase in {\phi} to 30{\deg}. By analyzing the static magnetic
configurations, we unveil the nature of the SW spectra in these two shapes. We
reinforce our observations with simulated spatial power and phase maps. This
study underscores the critical impact of dot shape and inversion symmetry on SW
dynamical response, highlighting the significance of selecting appropriate
structures and bias field strength and orientation for required
functionalities. The remarkable tunability demonstrated by the magnonic
crystals underscores their potential suitability for future magnonic devices.
