Dimple patterns for golf balls
A golf ball dimple pattern based on a square dipyramid is disclosed. In one specific aspect, the present disclosure provides for a square dipyramid dimple configuration including dimples having a catenary cross-sectional profile, and a combination of dimples having a circular plan shape and dimples having an elliptical plan shape.
1 . A golf ball having a plurality of dimples disposed on a spherical outer surface thereof and having a non-planar parting line, wherein:
the plurality of dimples comprising at least three different dimple diameters, including a minimum dimple diameter, a maximum dimple diameter, and at least one additional dimple diameter;
the golf ball consists of two hemispheres separated by an equator, the two hemispheres having substantially identical dimple arrangements;
each hemispherical dimple arrangement consists of four triangular sections that are defined by projecting four faces of a square pyramid onto the hemisphere such that each of the four triangular sections is defined by a border consisting of a linear equatorial edge which corresponds to a portion of the equator of the golf ball and two linear side edges connecting each end of the equatorial edge to a pole of the golf ball;
the four triangular sections of each hemisphere are substantially identical in size and dimple arrangement;
the dimple arrangement within each of the four triangular sections is not rotationally symmetric about a center of the respective triangular section;
wherein at least some dimples of the plurality of dimples have a catenary cross-sectional profile defined by x-y coordinates, wherein x=0 corresponds to a central axis of the catenary cross-sectional profile and y=0 corresponds to a minimum of the catenary cross-sectional profile, and the catenary cross-sectional profile is defined by:
y
=
d
c
(
cosh
(
SF
·
x
)
-
1
)
cosh
(
SF
·
D
2
)
-
1
where D is a diameter of the dimple having the catenary cross-sectional profile, d e is a chord depth of the dimples having the catenary cross-sectional profile, and SF is a shape factor of the dimples having the catenary cross-sectional profile; and
the shape factor for all of the plurality of dimples having the catenary cross-sectional profile is at least 20;
wherein each of the four triangular sections is divided into:
a polar region from latitude angle 0 degrees to latitude angle 30 degrees, and the polar region has a dimple surface coverage S p ;
an intermediate region from latitude angle 30 degrees to latitude angle 60 degrees, and the intermediate region has a dimple surface coverage S i ; and
an equatorial region from latitude angle 60 degrees to latitude angle 90 degrees, and the equatorial region has a dimple surface coverage S e ;
where latitude angle 0 degrees is a pole and latitude angle 90 degrees is an equator; and
wherein S p <S i <S e and S p ≥70.0%;
wherein all of the plurality of dimples have the catenary cross-sectional profile;
wherein a first subset of the plurality of dimples has a circular plan shape and a second subset of the plurality of dimples has an elliptical plan shape; and
wherein the second subset of the plurality of dimples includes dimples having at least two different diameters and having at least two different edge angles.
2 . The golf ball according to claim 1 , wherein a majority of the dimples of the first subset of the plurality of dimples have an identical chord depth.
3 . The golf ball according to claim 1 , wherein the first subset of the plurality of dimples includes dimples having at least five different diameters and having at least five different edge angles.
4 . The golf ball according to claim 1 , wherein the second subset of the plurality of dimples are disposed in a polar region defined from latitude angle 0 degrees to latitude angle 30 degrees.
5 . The golf ball according to claim 1 , wherein the first subset of the plurality of dimples includes a first quantity of dimples and the second subset of the plurality of dimples includes a second quantity of dimples, wherein the first quantity is at least 15 times greater than the second quantity.
6 . The golf ball according to claim 5 , wherein the first quantity is 330 and the second quantity is 16.
7 . The golf ball according to claim 1 , wherein a standard deviation of chord depths among all of the dimples of the first subset of the plurality of dimples and all of the dimples of the second subset of the plurality of dimples is no greater than 0.00020 inches.
8 . A golf ball having a plurality of dimples disposed on a spherical outer surface thereof and having a non-planar parting line, wherein:
the plurality of dimples comprising at least three different dimple diameters, including a minimum dimple diameter, a maximum dimple diameter, and at least one additional dimple diameter;
the golf ball consists of two hemispheres separated by an equator, the two hemispheres having substantially identical dimple arrangements;
each hemispherical dimple arrangement consists of four triangular sections that are defined by projecting four faces of a square pyramid onto the hemisphere such that each of the four triangular sections is defined by a border consisting of a linear equatorial edge which corresponds to a portion of the equator of the golf ball and two linear side edges connecting each end of the equatorial edge to a pole of the golf ball;
the four triangular sections of each hemisphere are substantially identical in size and dimple arrangement;
the dimple arrangement within each of the four triangular sections is not rotationally symmetric about a center of the respective triangular section;
wherein at least some dimples of the plurality of dimples have a catenary cross-sectional profile defined by x-y coordinates, wherein x=0 corresponds to a central axis of the catenary cross-sectional profile and y=0 corresponds to a minimum of the catenary cross-sectional profile, and the catenary cross-sectional profile is defined by:
y
=
d
c
(
cosh
(
SF
·
x
)
-
1
)
cosh
(
SF
·
D
2
)
-
1
where D is a diameter of the dimple having the catenary cross-sectional profile, d e is a chord depth of the dimples having the catenary cross-sectional profile, and SF is a shape factor of the dimples having the catenary cross-sectional profile; and
the shape factor for all of the plurality of dimples having the catenary cross-sectional profile is at least 20, and
wherein the plurality of dimples having the catenary cross-sectional profile each have an identical shape factor SF, and
wherein a first subset of the plurality of dimples has a circular plan shape and a second subset of the plurality of dimples has an elliptical plan shape, and
wherein the first subset of the plurality of dimples includes a first quantity of dimples and the second subset of the plurality of dimples includes a second quantity of dimples, wherein the first quantity is at least 15 times greater than the second quantity.
9 . A golf ball having a plurality of dimples disposed on a spherical outer surface thereof and having a non-planar parting line, wherein:
the plurality of dimples comprising at least three different dimple diameters, including a minimum dimple diameter, a maximum dimple diameter, and at least one additional dimple diameter;
the golf ball consists of two hemispheres separated by an equator, the two hemispheres having substantially identical dimple arrangements;
each hemispherical dimple arrangement consists of four triangular sections that are defined by projecting four faces of a square pyramid onto the hemisphere such that each of the four triangular sections is defined by a border consisting of a linear equatorial edge which corresponds to a portion of the equator of the golf ball and two linear side edges connecting each end of the equatorial edge to a pole of the golf ball;
the four triangular sections of each hemisphere are substantially identical in size and dimple arrangement;
the dimple arrangement within each of the four triangular sections is not rotationally symmetric about a center of the respective triangular section;
wherein at least some dimples of the plurality of dimples have a catenary cross-sectional profile defined by x-y coordinates, wherein x=0 corresponds to a central axis of the catenary cross-sectional profile and y=0 corresponds to a minimum of the catenary cross-sectional profile, and the catenary cross-sectional profile is defined by:
y
=
d
c
(
cosh
(
SF
·
x
)
-
1
)
cosh
(
SF
·
D
2
)
-
1
where D is a diameter of the dimple having the catenary cross-sectional profile, d e is a chord depth of the dimples having the catenary cross-sectional profile, and SF is a shape factor of the dimples having the catenary cross-sectional profile; and
the shape factor for all of the plurality of dimples having the catenary cross-sectional profile is at least 20;
wherein each of the four triangular sections is divided into:
a polar region from latitude angle 0 degrees to latitude angle 30 degrees, and the polar region has a dimple surface coverage S p ;
an intermediate region from latitude angle 30 degrees to latitude angle 60 degrees, and the intermediate region has a dimple surface coverage S i ; and
an equatorial region from latitude angle 60 degrees to latitude angle 90 degrees, and the equatorial region has a dimple surface coverage S e ;
where latitude angle 0 degrees is a pole and latitude angle 90 degrees is an equator; and
wherein S p <S i <S e and S p ≥70.0%;
wherein all of the plurality of dimples have the catenary cross-sectional profile;
wherein a first subset of the plurality of dimples has a circular plan shape and a second subset of the plurality of dimples has an elliptical plan shape; and
wherein a standard deviation of edge angles among all of the dimples of the first subset of the plurality of dimples and all of the dimples of the second subset of the plurality of dimples is at least 0.50°.
10 . The golf ball according to claim 9 , wherein a majority of the dimples of the first subset of the plurality of dimples have an identical chord depth.
11 . The golf ball according to claim 9 , wherein the first subset of the plurality of dimples includes dimples having at least five different diameters and having at least five different edge angles.
12 . The golf ball according to claim 9 , wherein the first subset of the plurality of dimples includes a first quantity of dimples and the second subset of the plurality of dimples includes a second quantity of dimples, wherein the first quantity is at least 15 times greater than the second quantity.