Dimple patterns for golf balls

1. A golf ball having a substantially spherical surface, comprising:

a plurality of dimples disposed thereon, wherein the dimples are arranged in an octahedral pattern comprising eight substantially identical dimple sections, wherein each dimple section is defined by a spherical triangle,

wherein the dimples in each of the eight substantially identical dimple sections comprise at least three different dimple diameters including a minimum dimple diameter, a maximum dimple diameter, and at least one additional dimple diameter, and

wherein the dimples cover about 70 percent or less of the substantially spherical surface, and wherein the pattern results in at least four dimple free great circles on the golf ball.

2. The golf ball of claim 1 , wherein the minimum difference in diameter between any two dimples within each dimple section is about 0.030 inches or more.

3. The golf ball of claim 2 , wherein each of the at least three different dimple diameters range from about 0.030 inches to about 0.200 inches.

4. The golf ball of claim 1 , wherein the pattern is rotationally symmetric about the center of each substantially identical dimple section.

5. The golf ball of claim 1 , wherein the dimples each have a corresponding edge angle and the average of all the edge angles (θ μ ) is related to the surface coverage according to equation (III):

88.8(SC) 2 −116.9(SC)+47.7≤θ μ ≤170.0(SC) 2 −242.5(SC)+106.6   (III),

where SC is the surface coverage.

6. The golf ball of claim 1 , wherein each substantially identical dimple section comprises at least one shared dimple, the shared dimple having a centroid that intersects an edge of the dimple section.

7. A golf ball having a substantially spherical surface, comprising:

a plurality of dimples disposed thereon, wherein the dimples are arranged in an octahedral pattern comprising eight substantially identical dimple sections, wherein each dimple section is defined by a spherical triangle having three vertices,

wherein the dimples in each of the eight substantially identical dimple sections have a corresponding dimple diameter and a corresponding edge angle,

wherein the dimples in each of the eight substantially identical dimple sections comprise:

(i) at least three different dimple diameters including a minimum dimple diameter, a maximum dimple diameter, and at least one additional dimple diameter, wherein each of the at least three different dimple diameters range from about 0.030 inches to about 0.200 inches, and

(ii) substantially identical edge angles, and

wherein the dimples cover about 60 percent or less of the substantially spherical surface and the pattern results in at least four dimple free great circles on the golf ball.

8. The golf ball of claim 7 , wherein each substantially identical dimple section comprises at least one shared dimple, the shared dimple having a centroid that intersects an edge of the dimple section.

9. The golf ball of claim 7 , wherein a dimple is located at each of the three vertices of the dimple section such that a portion of the dimple is located within four dimple sections.

10. The golf ball of claim 7 , wherein the average of all the edge angles (θ μ ) is related to the surface coverage according to equation (III):

88.8(SC) 2 −116.9(SC)+47.7≤θ μ ≤170.0(SC) 2 −242.5(SC)+106.6   (III),

where SC is the surface coverage.

11. The golf ball of claim 7 , wherein the maximum difference in diameter between any two dimples within each dimple section is about 0.075 inches or less.

12. The golf ball of claim 7 , wherein the pattern has three-way rotational symmetry about the center of each substantially identical dimple section.

13. A golf ball having a substantially spherical surface, comprising:

a plurality of dimples disposed thereon, wherein the dimples are arranged in an octahedral pattern comprising eight substantially identical dimple sections, wherein each dimple section is defined by a spherical triangle,

wherein the dimples in each of the eight substantially identical dimple sections have a corresponding dimple diameter and a corresponding edge angle,

wherein the dimples in each of the eight substantially identical dimple sections comprise four or more different dimple diameters including a minimum dimple diameter, a maximum dimple diameter, and at least two additional dimple diameters, wherein each of the four or more different dimple diameters range from about 0.050 inches to about 0.180 inches and differ by more than 0.005 inches,

wherein the dimples cover about 50 percent or less of the substantially spherical surface and the pattern results in four dimple free great circles on the golf ball.

14. The golf ball of claim 13 , wherein the dimples in each of the eight substantially identical dimple sections comprise substantially identical edge angles.

15. The golf ball of claim 13 , wherein the average of all the edge angles (θ μ ) is related to the surface coverage according to equation (III):

88.8(SC) 2 −116.9(SC)+47.7≤θ μ ≤170.0(SC) 2 −242.5(SC)+106.6   (III),

where SC is the surface coverage.

16. The golf ball of claim 13 , wherein the dimples are arranged entirely within each of the eight substantially identical dimple sections.

17. The golf ball of claim 13 , wherein each substantially identical dimple section comprises at least one shared dimple, the shared dimple having a centroid that intersects an edge of the dimple section.

18. The golf ball of claim 13 , wherein the dimples cover about 30 percent or less of the substantially spherical surface.

19. The golf ball of claim 13 , wherein the pattern has three-way rotational symmetry about the center of each substantially identical dimple section.