Golf Ball Dimple Plan Shapes Using Periodic Functions

The patent applies asymmetry by transitioning from conventional circular dimple designs to non-circular dimple plan shapes. The dimples are defined by periodic functions (sine, square, sawtooth, triangle waves) that create asymmetric geometries along closed paths. This asymmetric design enables improved surface coverage uniformity and packing efficiency across the golf ball surface, directly resolving the technical contradiction between manufacturing precision and device complexity.

The patent implements parameter changes by systematically varying the periodic function parameters (amplitude, frequency, phase) that define the dimple plan shapes. Different periodic functions (sine, square, sawtooth, triangle waves) with specific parameter ranges are used to optimize aerodynamic characteristics. This approach enables fine-tuning of airflow patterns, turbulence generation, and drag reduction while maintaining a systematic design framework that manages the complexity of dimple geometry.

The patent manages manufacturing complexity through parameter changes by defining dimple shapes using periodic functions with controllable parameters. The periodic function parameters (amplitude, frequency, phase) can be adjusted to create various non-circular shapes while using the same fundamental mathematical framework. This systematic approach allows for optimized packing efficiency across the golf ball surface while maintaining a unified manufacturing process that forms all dimples through consistent parameter-based geometry definition.