Golf Ball Dimple Patterns Using Irregular Polyhedral Domains
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Existing golf ball dimple patterns struggle to achieve optimal aerodynamic efficiency and symmetry, with limited geometric shapes and arrangements leading to suboptimal surface coverage and performance.
Innovation Solution
The use of irregular domains generated from polyhedrons, such as octahedrons, to arrange dimples on a golf ball surface, with methods like midpoint to midpoint and center to vertex techniques, ensuring uniform patterns and high symmetry without great circles, allowing for varied dimple diameters and patterns within these domains.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Area of stationary object
If traditional geometric shapes (circles, hexagons, triangles) or Platonic/Archimedian solids are used for dimple patterns, then aerodynamic symmetry is achieved, but surface coverage is suboptimal and dimple arrangement is limited
Solution Approach 1:
The patent applies asymmetry by transitioning from traditional symmetric geometric shapes (circles, hexagons, Platonic solids) to asymmetric irregular domains generated through iterative subdivision processes. This allows for optimized surface coverage while maintaining aerodynamic performance, as the irregular shapes can adapt to the spherical surface more efficiently than regular geometric forms.
Solution Approach 2:
The patent employs segmentation by dividing the spherical surface into multiple irregular domains through iterative subdivision of initial geometric shapes. Each domain is further segmented into smaller regions that can accommodate dimples of varying sizes and arrangements, enabling optimized surface coverage while maintaining制造 feasibility.
2Stability of the object's composition
If dimple patterns are based on limited symmetric solid plane systems, then aerodynamic symmetry is maintained, but new symmetric patterns cannot be devised and surface coverage is reduced
Solution Approach 1:
The patent applies dynamics by using iterative computational algorithms to generate dimple patterns that adapt to the spherical surface geometry. The process dynamically subdivides initial geometric domains into irregular shapes that optimize surface coverage while maintaining aerodynamic symmetry through controlled repetition and transformation of domain patterns.
Solution Approach 2:
The patent transitions from two-dimensional geometric patterns to three-dimensional irregular domains on a spherical surface. By considering the curvature and spatial arrangement in three dimensions, the patent achieves both aerodynamic symmetry and optimized surface coverage that cannot be attained with flat geometric patterns.
3Ease of manufacture
If regular geometric patterns are used, then manufacturing is simplified, but aerodynamic efficiency and dimple distribution are suboptimal
Solution Approach 1:
The patent applies parameter changes by systematically varying domain sizes, shapes, and dimple arrangements within irregular domains. The iterative subdivision process generates domains with optimized parameters for aerodynamic performance, while the modular nature of the domains maintains manufacturing feasibility through standardized production processes.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach enhances aerodynamic efficiency and symmetry, improving dimple distribution and masking the ball's parting line, leading to more stable flight and better performance characteristics.
Implementation Method 1
tessellating the domains onto the surface of the golf ball
Implementation Method 2
dimples provide a means to energize the flow field and delay the separation of flow, or reduce the wake region behind the ball
Implementation Method 3
the drag force on a ball is attributed to parasitic drag forces, which consist of pressure drag and viscous or skin friction drag
Implementation Method 4
Lift force is perpendicular to the direction of flight and is a result of air velocity differences above and below the rotating ball. This phenomenon is attributed to Magnus
Implementation Method 5
Bernoulli's equation relates pressure and velocity where pressure is inversely proportional to the square of velocity
Implementation Method 6
Skin friction is a viscous effect residing close to the surface of the ball within the boundary layer
Data Source
AI summary
The present invention provides a method for arranging dimples on a golf ball surface in which the dimples are arranged in a pattern derived from at least one irregular domain generated from a regular or non-regular polyhedron. The method includes choosing control points of a polyhedron, generating an irregular domain based on those control points, packing the irregular domain with dimples, and tessellating the irregular domain to cover the surface of the golf ball. The control points include the center of a polyhedral face, a vertex of the polyhedron, a midpoint or other point on an edge of the polyhedron and others. The method ensures that the symmetry of the underlying polyhedron is preserved while minimizing or eliminating great circles due to parting lines.