GOLF BALL DIMPLES DEFINED BY SUPERPOSED CURVES
The present invention is a golf ball which comprises dimples having a cross section defined by the superposition of two or more continuous and differentiable functions, and particularly the superposition of a catenary curve and a Witch of Agnesi curve. Additionally, the dimples preferably have a circular boundary and maintain an axis coincident with the center of the circular boundary.
1 . A golf ball having a surface with a plurality of recessed dimples thereon, wherein at least one of the dimples is a superposed dimple having a cross-section defined by a function resulting from the sum of a catenary function and a Witch of Agnesi function.
2 . The golf ball of claim 1 , wherein the superposed dimple has a circular plan shape.
3 . The golf ball of claim 1 , wherein the superposed dimple has a dimple diameter of from 0.100 inches to 0.220 inches.
4 . The golf ball of claim 1 , wherein the superposed dimple has a surface depth of 0.020 inches or less.
5 . The golf ball of claim 1 , wherein the superposed dimple has a surface depth of 0.015 inches or less.
6 . The golf ball of claim 1 , wherein the superposed dimple has a chord volume (V D ) at any given dimple diameter (D D ) such that:
66.67 D D 2 +35.33 D D −2.80 ≦V D ≦407.14 D D 2 −17.79 D D −0.09
7 . The golf ball of claim 1 , wherein the superposed dimple has a chord volume (V D ) at any given dimple diameter (D D ) such that:
152.86 D D 2 +20.59 D D −1.93≦ V D ≦319.05 D D 2 −3.76 D D −0.81