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 has three-way rotational symmetry about the central point of the first domain;
the second domain has four-way rotational symmetry about the central point of the second domain;
the dimple pattern within the first domain is different from the dimple pattern within the second domain;
the number of different dimple diameters on the outer surface, D, is related to the total number of dimples on the outer surface, N, such that
if N<302, then D≦5;
if N=302, then D≦4;
if 302<N<350, then D≦5; and
if N≧350, then D≦6;
the plurality of dimples consists of a plurality of perimeter dimples and a plurality of interior dimples, wherein each of the plurality of perimeter dimples is located directly adjacent to a border segment of the first domain or a border segment of the second domain, and wherein each of the plurality of perimeter dimples has at least two nearest neighbor dimples that are located in a domain other than the domain of that perimeter dimple; and
the difference in diameter between each perimeter dimple and each of its nearest neighbor dimples that is located in a domain other than the domain of that perimeter dimple is 0.08 inches or less.
2. The golf ball of claim 1 , wherein each of the dimples has a dimple diameter of from about 0.100 inches to about 0.205 inches.
3. The golf ball of claim 1 , wherein the sample standard deviation, s, is less than 0.025, as defined by the equation:
s
=
∑
i
=
1
N
(
x
i
-
x
_
)
2
N
-
1
where x i is the diameter of any given dimple on the outer surface of the ball, x is the average dimple diameter, and N is the total number of dimples on the outer surface of the ball.
4. The golf ball of claim 3 , wherein the sample standard deviation, s, is less than 0.020.
5. The golf ball of claim 3 , wherein the sample standard deviation, s, is less than 0.0175.
6. The golf ball of claim 1 , wherein the golf ball has an aerodynamic coefficient magnitude of from 0.25 to 0.32 and an aerodynamic force angle of from 30° to 38° at a Reynolds Number of 230000 and a spin ratio of 0.085.
7. The golf ball of claim 1 , wherein the golf ball has an aerodynamic coefficient magnitude of from 0.26 to 0.33 and an aerodynamic force angle of from 32° to 40° at a Reynolds Number of 180000 and a spin ratio of 0.101.
8. The golf ball of claim 1 , wherein the golf ball has an aerodynamic coefficient magnitude of from 0.27 to 0.37 and an aerodynamic force angle of from 35° to 44° at a Reynolds Number of 133000 and a spin ratio of 0.133.
9. The golf ball of claim 1 , wherein the golf ball has an aerodynamic coefficient magnitude of from 0.32 to 0.45 and an aerodynamic force angle of from 39° to 45° at a Reynolds Number of 89000 and a spin ratio of 0.183.
10. The golf ball of claim 1 , wherein a majority of the dimples on the outer surface of the golf ball have a circular plan shape.
11. The golf ball of claim 1 , wherein a majority of the dimples on the outer surface of the golf ball have a non-circular plan shape.
12. The golf ball of claim 1 , wherein the total number of dimples on the outer surface is 350.
13. The golf ball of claim 1 , wherein the total number of dimples on the outer surface is 336.
14. The golf ball of claim 1 , wherein the total number of dimples on the outer surface is 360.
15. The golf ball of claim 1 , wherein the total number of dimples on the outer surface is 384.
16. The golf ball of claim 1 , wherein the total number of dimples on the outer surface is 390.
17. The golf ball of claim 1 , wherein the total number of dimples on the outer surface is 320.
18. The golf ball of claim 1 , wherein the total number of dimples on the outer surface is 302.
19. The golf ball of claim 1 , wherein the total number of dimples on the outer surface is 432.
20. The golf ball of claim 1 , wherein the total number of dimples on the outer surface is 342.
21. The golf ball of claim 1 , wherein the total number of dimples on the outer surface is 306.
22. The golf ball of claim 1 , wherein the difference in diameter between each perimeter dimple and each of its nearest neighbor dimples that is located in a domain other than the domain of that perimeter dimple is 0.06 inches or less.
23. The golf ball of claim 1 , wherein the difference in diameter between each perimeter dimple and each of its nearest neighbor dimples that is located in a domain other than the domain of that perimeter dimple is 0.04 inches or less.