Golf ball having non-planar parting line with non-circular dimples

1. A golf ball having a non-planar parting line about non-circular dimples on its spherical surface, the parting line comprising:

non-concentric arcs having straight connecting line segments between the arcs, wherein each arc maintains a tangency with its connecting lines and a relief distance greater than or equal to 0.003 inches when measured from an average non-circular dimple diameter to one of the non-concentric arcs and an absolute relief distance of at least 0.001 inches when measured from all points on the non-circular dimple perimeter to one of the non-concentric arcs; and

the sum of the lengths of the non-concentric arcs relates to the sum of the straight connecting line segments according to the equation:

(0.15)Σ L ARCS ≤ΣL LINES ≤(0.50)Σ L ARCS .

2. The golf ball according to claim 1 , wherein the length of a shortest line segment in the parting line is related to a minimum average non-circular dimple diameter according to the equation:

L MIN ≥(0.05) D MIN .

3. The golf ball according to claim 1 , wherein the golf ball comprises:

a plane comprising a non-circular dimple center and the vertical axis through the center of the ball; and

another plane comprising the center of a corresponding non-concentric arc and said vertical axis through the center of the ball,

wherein these planes create an arc shift angle defined to the average non-circular dimple perimeter diameter by the equation:

θ

≤

π

⁢

⁢

μ

d

6

wherein θ is the arc shift angle in radians.

4. The golf ball according to claim 1 , wherein adjacent non-circular dimples on opposing hemisphere sides of the parting line have a large size disparity which is defined by the equation:

μ

d

⁡

(

N

)

μ

d

⁡

(

S

)

>

1.40

⁢

⁢

or

⁢

⁢

μ

d

⁡

(

N

)

μ

d

⁡

(

S

)

<

0.70

.

5. The golf ball according to claim 1 , wherein adjacent non-circular dimples on opposing hemisphere sides of the parting line are weighted more towards one hemisphere over the other, based on the equation:

C RP >2.0

or

C RP <0.50.

6. The golf ball according to claim 1 , wherein the golf ball comprises non-circular dimples and circular dimples.

7. The golf ball according to claim 1 , wherein the golf ball comprises non-circular dimples and circular dimples adjacent the non-planar parting line.

8. The golf ball according to claim 1 , wherein the dimple pattern of the ball is an icosahedron-based dimple pattern having a base wavelength of about 1.05 inches, or one fifth the circumference of the golf ball, and a secondary wavelength greater than 0.10 inches and less than 0.30 inches, or greater than one twentieth the circumference of the golf ball and less than one fortieth the circumference of the golf ball.

9. The golf ball according to claim 1 , wherein a waveform of the parting line consists of at least two waveforms having a base wavelength and a secondary wavelength.

10. The golf ball according to claim 9 , wherein a base waveform is defined by the following equation:

γ

base

=

π

⁢

⁢

D

n

wherein πD is the ball circumference and n is the number of repeated pattern segments.

11. The golf ball according to claim 10 , wherein the dimple pattern secondary waveforms are shorter than the base waveform.

12. The golf ball according to claim 11 , wherein the secondary wavelengths are described in terms of the base wavelength according to the following equation:

γ

secondary

=

γ

base

i

wherein i is the number of dimples per segment.

13. The golf ball according to claim 12 , wherein a wave amplitude is the maximum deviation of the final parting line waveform from its horizontal axis and is preferably 0.30 inches or less.

14. The golf ball according to claim 13 , wherein the wave amplitude is preferably 0.015 inches or less.