Golf ball dimple plan shape

A golf ball having a generally spherical surface and comprising a plurality of dimples on the spherical surface, wherein at least a portion of the plurality of dimples have a non-circular plan shape defined by a low frequency periodic function mapped along a simple closed path according to the following function:

• Q(x)=Fpath(l,scl,x)*Fperiodic(s,a,p,x)
• where Fpath is a circle, ellipse, or square of length l, with scale factor scl, defined along the vertices x, and Fperiodic is a sine, cosine, sawtooth wave, triangle wave, or square wave function with sharpness factor s, amplitude a, and period p defined at the vertices x, and period p is about 15 or less;
• wherein the maximum absolute distance of any point on the plan shape from the simple closed path is about 0.015 inches to about 0.050 inches;
• and
• wherein each one of the dimples having a non-circular plan shape defined by a low frequency periodic function mapped along a simple closed path comprises a first dimple profile and a second dimple profile, the first dimple profile having a first edge angle (ΦEDGE1) and a second edge angle (ΦEDGE2) and the second dimple profile having a third edge angle (ΦEDGE3) and a fourth edge angle (ΦEDGE4), wherein at least two of ΦEDGE1, ΦEDGE2, ΦEDGE3 and ΦEDGE4 have different values.

A golf ball having a generally spherical surface and comprising a plurality of dimples on the spherical surface, wherein at least a portion of the plurality of dimples have a non-circular plan shape defined by a low frequency periodic function mapped along a simple closed path according to the following function:

• Q(x)=Fpath(l,scl,x)*Fperiodic(s,a,p,x)
• where Fpath is a circle, ellipse, or square of length l, with scale factor scl, defined along the vertices x, and Fperiodic is a low frequency periodic function with sharpness factor s, amplitude a, and period p defined at the vertices x, and period p is about 15 or less;
• wherein the maximum absolute distance of any point on the plan shape from the simple closed path is about 0.015 inches to about 0.050 inches;
• wherein the plurality of dimples having a non-circular plan shape defined by a low frequency periodic function mapped along a simple closed path have a Degree of Interdigitation DOI of about 0.05 to about 0.50, DOI being defined by the following equation:
• D
• ⁢
• ⁢
• O
• ⁢
• ⁢
• I
• =
• 1
• n
• ⁢
• ∑
• k
• =
• 1
• n
• ⁢
• (
• R
• 1
• +
• R
• 2
• D
• -
• 1
• )
• k
• where R1 is the maximum radial distance of a first dimple having a first center, R2 is the maximum radial distance of a second dimple having a second center, D is the distance between the first center and the second center, and the first dimple is adjacent to the second dimple on the surface;
• and
• wherein each one of the dimples having a non-circular plan shape defined by a low frequency periodic function mapped along a simple closed path comprises a first dimple profile and a second dimple profile, the first dimple profile having a first edge angle (ΦEDGE1) and a second edge angle (ΦEDGE2) and the second dimple profile having a third edge angle (ΦEDGE3) and a fourth edge angle (ΦEDGE4), wherein at least two of ΦEDGE1, ΦEDGE2, ΦEDGE3 and ΦEDGE4 have different values.