Golf ball dimples defined by superposed curves
The present invention is a golf ball which comprises spherical-cosine dimples on the surface thereof. The spherical-cosine dimples have a cross-sectional shape defined by the superposition of a spherical function and a cosine function. Each of the spherical-cosine dimples preferably has a dimple diameter of 0.180 inches or greater.
1. A golf ball having a surface defined by a land area and a plurality of recessed dimples, wherein the plurality of recessed dimples includes a plurality of spherical -cosine dimples having a profile defined by a superposed function resulting from the sum of a spherical function and a cosine function, wherein the profile includes at least two points, not including any point where the profile meets the land area of the ball, where the first derivative of the superposed function at that point is equal to zero and the second derivative of the superposed function at that point is less than zero; wherein the plurality of recessed dimples on the surface of the golf ball consists of the plurality of spherical-cosine dimples and a plurality of non-spherical -cosine dimples defined as any dimple on the surface of the golf ball having a profile that is not defined by a superposed function resulting from the sum of a spherical function and a cosine function, and wherein each of the plurality of spherical-cosine dimples has a dimple diameter of 0.180 inches or greater and each of the non-spherical-cosine dimples has a dimple diameter of less than 0.180 inches.
2. The golf ball of claim 1 , wherein the plurality of recessed dimples on the surface of the golf ball have an average dimple diameter of 0.180 inches or greater.
3. The golf ball of claim 1 , wherein the plurality of recessed dimples on the surface of the golf ball have an average dimple diameter of 0.200 inches or greater.
4. The golf ball of claim 1 , wherein the plurality of recessed dimples on the surface of the golf ball have an average dimple diameter of 0.220 inches or greater.
5. The golf ball of claim 1 , wherein the plurality of recessed dimples on the surface of the golf ball have an average dimple diameter of 0.240 inches or greater.
6. The golf ball of claim 1 , wherein each of the plurality of spherical-cosine dimples has a dimple diameter of 0.200 inches or greater.
7. A golf ball having a surface defined by a land area and a plurality of recessed dimples, wherein the plurality of recessed dimples includes a plurality of spherical-cosine dimples having a profile defined by a superposed function resulting from the sum of a spherical function and a cosine function, wherein the profile includes at least two points, not including any point where the profile meets the land area of the ball, where the first derivative of the superposed function at that point is equal to zero and the second derivative of the superposed function at that point is less than zero; wherein each of the plurality of spherical-cosine dimples has a chord volume within a range having a lower limit and an upper limit selected from the values within REGION 1 of FIG. 27 .
8. The golf ball of claim 7 , wherein each of the plurality of spherical-cosine dimples has a dimple depth of from 0.005 inches to 0.025 inches.
9. The golf ball of claim 7 , wherein each of the plurality of spherical-cosine dimples has a dimple depth of from 0.010 inches to 0.023 inches.
10. The golf ball of claim 7 , wherein the total number of dimples on the surface of the golf ball is less than 250.
11. The golf ball of claim 10 , wherein the dimple surface coverage is 70% or greater.
12. The golf ball of claim 7 , wherein the total number of dimples on the surface of the golf ball is less than 200.
13. The golf ball of claim 7 , wherein the total number of dimples on the surface of the golf ball is less than 180.
14. The golf ball of claim 7 , wherein the total number of dimples on the surface of the golf ball is less than 160.
15. The golf ball of claim 14 , wherein the dimple surface coverage is 70% or greater.
16. A golf ball having a surface defined by a land area and a plurality of recessed dimples, wherein the plurality of recessed dimples includes a plurality of spherical -cosine dimples having a profile defined by a superposed function resulting from the sum of a spherical function and a cosine function, wherein the profile includes at least four points, not including any point where the profile meets the land area of the ball, where the first derivative of the superposed function at that point is equal to zero and the second derivative of the superposed function at that point is less than zero; wherein the plurality of recessed dimples on the surface of the golf ball consists of the plurality of spherical-cosine dimples and a plurality of non-spherical -cosine dimples defined as any dimple on the surface of the golf ball having a profile that is not defined by a superposed function resulting from the sum of a spherical function and a cosine function, and wherein each of the plurality of spherical-cosine dimples has a dimple diameter of 0.180 inches or greater and each of the non-spherical-cosine dimples has a dimple diameter of less than 0.180 inches.
17. The golf ball of claim 16 , wherein the plurality of recessed dimples on the surface of the golf ball have an average dimple diameter of 0.180 inches or greater.
18. The golf ball of claim 16 , wherein the plurality of recessed dimples on the surface of the golf ball have an average dimple diameter of 0.200 inches or greater.