Golf Ball Dimple Pattern Using Square Dipyramid Segmentation
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Solution Overview
Problem
Golf ball manufacturers face challenges in creating aerodynamically symmetric dimple patterns that maximize efficiency while avoiding suboptimal surface coverage and dimple arrangements, limited by the use of geometric shapes like Platonic and Archimedean Solids.
Innovation Solution
A golf ball dimple pattern based on a square dipyramid, with dimples arranged in four triangular sections on each hemisphere, featuring multiple diameters and regions (polar, intermediate, equatorial) with unique dimple distributions and shapes, including shared and non-shared dimples, to achieve rotational symmetry and high surface coverage.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Stability of the object's composition
If traditional geometric shapes (Platonic and Archimedean Solids) are used for dimple patterns, then aerodynamic symmetry is improved, but the number of available patterns is limited and surface coverage is suboptimal
Solution Approach 1:
The golf ball surface is divided into eight triangular sections by projecting the faces of a square dipyramid. Each triangular section can be independently filled with dimples of varying sizes, shapes, and arrangements, allowing for numerous unique patterns while maintaining overall aerodynamic symmetry. This segmentation enables creativity without sacrificing symmetry.
Solution Approach 2:
Different regions of the triangular sections are assigned different dimple characteristics. The patent specifies that dimples can have at least three different diameters (minimum, maximum, and at least one additional diameter) distributed across the triangular sections. This allows local optimization of aerodynamic properties while maintaining global symmetry.
2Stability of the object's composition
If dimple patterns are based on geometric shapes, then aerodynamic symmetry is improved, but surface coverage is less than optimal
Solution Approach 1:
The patent transitions from traditional 2D geometric pattern arrangements to a 3D projection approach. By projecting the square dipyramid faces onto the spherical surface and filling the resulting triangular sections with dimples of various sizes, the design achieves superior surface coverage while maintaining aerodynamic symmetry. The dimples are arranged in three-dimensional space rather than confined to flat geometric patterns.
Data Source
AI summary
A golf ball dimple pattern based on a square dipyramid, i.e., two square pyramids connected base-to-base, is disclosed. The dimples are arranged within four substantially identical triangular sections on each of two substantially identical hemispheres of the ball.