Dimple patterns for golf balls
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.
1. A golf ball having an outer surface comprising a plurality of dimples disposed thereon, wherein the dimples are arranged in multiple copies of a first domain and a second domain, the first domain and the second domain being tessellated to cover the outer surface of the golf ball in a uniform pattern having no great circles and consisting of eight first domains and six second domains, and wherein:
the first domain is defined by three irregular segments and the dimples arranged therein are positioned in a pattern having three-way rotational symmetry about the central point of the first domain;
the second domain is defined by four irregular segments and the dimples arranged therein are positioned in a pattern having four-way rotational symmetry about the central point of the second domain;
the second domain consists of perimeter dimples and interior dimples, wherein the perimeter dimples of the second domain are positioned adjacent to the four irregular segments defining the second domain and include dimples having at least two different diameters, and wherein all of the perimeter dimples of the second domain satisfy a diameter relationship such that:
if x dimple 1 >x dimple 2
then d dimple 1 <d dimple 2 ,
where dimple 1 and dimple 2 are any two perimeter dimples of the second domain positioned adjacent to a common irregular segment, d is the dimple diameter, and x is the distance from the center of the dimple to the midpoint of a reference line connecting the endpoints of the common irregular segment.
2. The golf ball of claim 1 , wherein the first domain consists of perimeter dimples and interior dimples, wherein the perimeter dimples of the first domain are positioned adjacent to the three irregular segments defining the first domain, and wherein all of the perimeter dimples of the first domain satisfy a diameter relationship such that:
if x dimple 3 >x dimple 4
then d dimple 3 <d dimple 4 ,
where dimple 3 and dimple 4 are any two perimeter dimples of the first domain positioned adjacent to a common irregular segment, d is the dimple diameter, and x is the distance from the center of the dimple to the midpoint of a reference line connecting the endpoints of the common irregular segment.
3. The golf ball of claim 1 , wherein the first domain consists of perimeter dimples and interior dimples, wherein the perimeter dimples of the first domain are positioned adjacent to the three irregular segments defining the first domain, and wherein all of the perimeter dimples of the first domain satisfy a diameter relationship such that:
if x dimple 3 >x dimple 4
then d dimple 3 >d dimple 4 ,
where dimple 3 and dimple 4 are any two perimeter dimples of the first domain positioned adjacent to a common irregular segment, d is the dimple diameter, and x is the distance from the center of the dimple to the midpoint of a reference line connecting the endpoints of the common irregular segment.
4. The golf ball of claim 1 , wherein the first domain consists of perimeter dimples and interior dimples, and wherein at least one perimeter dimple of the first domain has substantially the same diameter as at least one of its nearest neighbor dimples located in the second domain.
5. The golf ball of claim 1 , wherein the first domain consists of perimeter dimples and interior dimples, the perimeter dimples of the first domain being positioned adjacent to the three irregular segments defining the first domain, and wherein the number of perimeter dimples of the first domain positioned adjacent to a common irregular segment of the first domain is equal to the number of perimeter dimples of the second domain positioned adjacent to a common irregular segment of the second domain.
6. The golf ball of claim 1 , wherein the first domain consists of perimeter dimples and interior dimples, the perimeter dimples of the first domain being positioned adjacent to the three irregular segments defining the first domain, and wherein the number of perimeter dimples of the first domain positioned adjacent to a common irregular segment of the first domain is not equal to the number of perimeter dimples of the second domain positioned adjacent to a common irregular segment of the second domain.
7. A golf ball having an outer surface comprising a plurality of dimples disposed thereon, wherein the dimples are arranged in multiple copies of a first domain and a second domain, the first domain and the second domain being tessellated to cover the outer surface of the golf ball in a uniform pattern having no great circles and consisting of eight first domains and six second domains, and wherein:
the first domain is defined by three irregular segments and the dimples arranged therein are positioned in a pattern having three-way rotational symmetry about the central point of the first domain;
the second domain is defined by four irregular segments and the dimples arranged therein are positioned in a pattern having four-way rotational symmetry about the central point of the second domain;
the second domain consists of perimeter dimples and interior dimples, wherein the perimeter dimples of the second domain are positioned adjacent to the four irregular segments defining the second domain and include dimples having at least two different diameters, and wherein all of the perimeter dimples of the second domain satisfy a diameter relationship such that:
if x dimple 1 >x dimple 2
then d dimple 1 >d dimple 2 ,
where dimple 1 and dimple 2 are any two perimeter dimples of the second domain positioned adjacent to a common irregular segment, d is the dimple diameter, and x is the distance from the center of the dimple to the midpoint of a reference line connecting the endpoints of the common irregular segment.
8. The golf ball of claim 7 , wherein the first domain consists of perimeter dimples and interior dimples, wherein the perimeter dimples of the first domain are positioned adjacent to the three irregular segments defining the first domain, and wherein all of the perimeter dimples of the first domain satisfy a diameter relationship such that:
if x dimple 3 >x dimple 4
then d dimple 3 <d dimple 4 ,
where dimple 3 and dimple 4 are any two perimeter dimples of the first domain positioned adjacent to a common irregular segment, d is the dimple diameter, and x is the distance from the center of the dimple to the midpoint of a reference line connecting the endpoints of the common irregular segment.
9. The golf ball of claim 7 , wherein the first domain consists of perimeter dimples and interior dimples, wherein the perimeter dimples of the first domain are positioned adjacent to the three irregular segments defining the first domain, and wherein all of the perimeter dimples of the first domain satisfy a diameter relationship such that:
if x dimple 3 >x dimple 4
then d dimple 3 >d dimple 4 ,
where dimple 3 and dimple 4 are any two perimeter dimples of the first domain positioned adjacent to a common irregular segment, d is the dimple diameter, and x is the distance from the center of the dimple to the midpoint of a reference line connecting the endpoints of the common irregular segment.
10. The golf ball of claim 7 , wherein the first domain consists of perimeter dimples and interior dimples, and wherein at least one perimeter dimple of the first domain has substantially the same diameter as at least one of its nearest neighbor dimples located in the second domain.
11. The golf ball of claim 7 , wherein the first domain consists of perimeter dimples and interior dimples, the perimeter dimples of the first domain being positioned adjacent to the three irregular segments defining the first domain, and wherein the number of perimeter dimples of the first domain positioned adjacent to a common irregular segment of the first domain is equal to the number of perimeter dimples of the second domain positioned adjacent to a common irregular segment of the second domain.
12. The golf ball of claim 7 , wherein the first domain consists of perimeter dimples and interior dimples, the perimeter dimples of the first domain being positioned adjacent to the three irregular segments defining the first domain, and wherein the number of perimeter dimples of the first domain positioned adjacent to a common irregular segment of the first domain is not equal to the number of perimeter dimples of the second domain positioned adjacent to a common irregular segment of the second domain.