Abstract: The present disclosure provides a rotation estimation device including an acquisition section and a rotation estimation section.

Abstract: The presently disclosed subject matter is directed to a golf ball providing improve play characteristics. The disclosed golf ball includes an outer cover comprising a plurality of divots. The disclosed golf ball further includes a central core comprising one or more lightweight materials, such as aerogel. The combination of the lightweight core and the unique divots enable the golf ball to go farther and straighter when hit by the golfer, thereby providing increased performance.

Abstract: A golf ball has a core, an inner cover, an outer cover, and dimples. The golf ball satisfies the following mathematical formulas. Sa=4500+10(A?0.5B?2Cs)?4000 0.04Sa+160?20?D?0.

Abstract: Golf balls having dimple patterns arranged in dipyramid layouts are disclosed. The patterns may be arranged in triangular dipyramid, quadrilateral dipyramid, pentagonal dipyramid, or hexagonal dipyramid layouts. The dipyramid patterns have six, eight, ten, or twelve substantially identical dimple sections, where each dimple section is defined by a spherical triangle. The dimples in each of the identical dimple sections have at least two different dimple diameters including a minimum dimple diameter and a maximum dimple diameter. The resulting dimple patterns have a surface coverage of about 70 percent or less. The reduced surface coverage helps to reduce the flight of the golf balls.

Abstract: The presently disclosed subject matter is directed to a golf ball providing improve play characteristics. The disclosed golf ball includes an outer cover comprising a plurality of divots. The disclosed golf ball further includes a central core comprising one or more lightweight materials, such as aerogel. The combination of the lightweight core and the unique divots enable the golf ball to go farther and straighter when hit by the golfer, thereby providing increased performance.

Abstract: The present invention relates to golf balls, specifically, to a golf ball with multifaceted dimples comprising two discrete geometries including a circular perimeter and a depression or protrusion based on a polyhedral prismatoid.

Abstract: A golf ball dimple pattern based on a square dipyramid, i.e., two square pyramids connected base-to-base, is disclosed. The dimples are arranged within four substantially identical triangular sections on each of two substantially identical hemispheres of the ball.

Abstract: Provided is a spherical polyhedron division structure of a golf ball where dimples are arranged to have a well-defined symmetry and a dimple pattern. In the spherical polyhedron division structure, wherein an arbitrary point on a surface of a spherical body constituting a golf ball is defined as a pole, a great circle dividing the spherical body into a northern hemisphere and a southern hemisphere with respect to the pole as a reference point is defined as an equator, the surface of the spherical body is divided into six areas formed by segments connecting the pole and points obtained by dividing the equator in units of 60°, each area is divided into spherical polygons formed by four spherical rectangles and two spherical triangles having sides with different lengths, and the spherical polygons arranged in different adjacent areas are symmetric with each other.

Abstract: The present invention provides golf balls having a pattern of stellated polygon shaped dimples and grooves with pre-selected and coordinated color appearances on the outer surface of the ball to produce a unique and desirable overall golf ball color appearance.

Abstract: Provided is a golf ball with air channels between adjacent dimples. The golf ball according to the present disclosure has air channels connecting adjacent dimples, and an outer tip of the air channel is chamfered or filleted. The problem of durability deterioration at the outer tip of the air channel over the entire surface of the golf ball is solved by the air channel structure in which the outer tip is chamfered or filleted. Meanwhile, it is possible to minimize the influence of wind at the outer tip of the air channel and greatly improve flight stability related with slice prevention, straightness and excellent impact point while ensuring a sufficient flight distance by uniformalizing pressure drag. In addition, the depth of the dimple itself is selectively made larger than the depth of the dimple of the conventional golf ball with the air channel in accordance with the chamfering or filleting of the outer tip of the air channel, thereby minimizing lift force and a loss of a flight distance.

Abstract: The present invention provides a method for arranging dimples on a golf ball surface in which the dimples are arranged in a pattern derived from at least one irregular domain generated from a regular or non-regular polyhedron. The method includes choosing control points of a polyhedron, generating an irregular domain based on those control points, packing the irregular domain with dimples, and tessellating the irregular domain to cover the surface of the golf ball. The control points include the center of a polyhedral face, a vertex of the polyhedron, a midpoint or other point on an edge of the polyhedron and others. The method ensures that the symmetry of the underlying polyhedron is preserved while minimizing or eliminating great circles due to parting lines.

Abstract: The present invention provides a method for arranging dimples on a golf ball surface in which the dimples are arranged in a pattern derived from at least one irregular domain generated from a regular or non-regular polyhedron. The method includes choosing control points of a polyhedron, generating an irregular domain based on those control points, packing the irregular domain with dimples, and tessellating the irregular domain to cover the surface of the golf ball. The control points include the center of a polyhedral face, a vertex of the polyhedron, a midpoint or other point on an edge of the polyhedron and others. The method ensures that the symmetry of the underlying polyhedron is preserved while minimizing or eliminating great circles due to parting lines.

Abstract: A golf ball dimple pattern based on a square dipyramid, i.e., two square pyramids connected base-to-base, is disclosed. The dimples are arranged within four substantially identical triangular sections on each of two substantially identical hemispheres of the ball.

Abstract: Golf ball comprising dimple(s) incorporating three or more linear channels having the same channel length L and same channel width CW; all linear channels extend radially outward from a centroid of the dimple toward a perimeter of the dimple without intersecting the dimple's centroid. Each linear channel may extend radially outward from a location on the dimple that is a distance Cd from the dimple's centroid, wherein Cd>0. Alternatively, at least one of the three or more linear channels has a different channel length L and/or a different channel width CW than at least one other linear channel. Dimple may have circular or non-circular plan shape; channels may not intersect each other; at least one linear channel may intersect the dimple's perimeter; and linear channels may be spaced by n separation angles ?S, wherein n is number of linear channels, which may be equal, or at least two differ.

Abstract: The present invention provides a method for arranging dimples on a golf ball surface in which the dimples are arranged in a pattern derived from at least one irregular domain generated from a regular or non-regular polyhedron. The method includes choosing control points of a polyhedron, generating an irregular domain based on those control points, packing the irregular domain with dimples, and tessellating the irregular domain to cover the surface of the golf ball. The control points include the center of a polyhedral face, a vertex of the polyhedron, a midpoint or other point on an edge of the polyhedron and others. The method ensures that the symmetry of the underlying polyhedron is preserved while minimizing or eliminating great circles due to parting lines.

Abstract: The present invention provides a method for arranging dimples on a golf ball surface in which the dimples are arranged in a pattern derived from at least one irregular domain generated from a regular or non-regular polyhedron. The method includes choosing control points of a polyhedron, generating an irregular domain based on those control points, packing the irregular domain with dimples, and tessellating the irregular domain to cover the surface of the golf ball. The control points include the center of a polyhedral face, a vertex of the polyhedron, a midpoint or other point on an edge of the polyhedron and others. The method ensures that the symmetry of the underlying polyhedron is preserved while minimizing or eliminating great circles due to parting lines.

Abstract: The present invention provides a method for arranging dimples on a golf ball surface in which the dimples are arranged in a pattern derived from at least one irregular domain generated from a regular or non-regular polyhedron. The method includes choosing control points of a polyhedron, generating an irregular domain based on those control points, packing the irregular domain with dimples, and tessellating the irregular domain to cover the surface of the golf ball. The control points include the center of a polyhedral face, a vertex of the polyhedron, a midpoint or other point on an edge of the polyhedron and others. The method ensures that the symmetry of the underlying polyhedron is preserved while minimizing or eliminating great circles due to parting lines.

Abstract: Golf balls according to the present invention achieve flight symmetry and overall satisfactory flight performance due to a dimple surface volume ratio that is equivalent between opposing hemispheres despite the use of different dimple geometries, different dimple arrangements, and/or different dimple counts on the opposing hemispheres.

Abstract: The present invention provides a method for arranging dimples on a golf ball surface in which the dimples are arranged in a pattern derived from at least one irregular domain generated from a regular or non-regular polyhedron. The method includes choosing control points of a polyhedron, generating an irregular domain based on those control points, packing the irregular domain with dimples, and tessellating the irregular domain to cover the surface of the golf ball. The control points include the center of a polyhedral face, a vertex of the polyhedron, a midpoint or other point on an edge of the polyhedron and others. The method ensures that the symmetry of the underlying polyhedron is preserved while minimizing or eliminating great circles due to parting lines.

Abstract: An object of the present invention is to provide a golf ball exhibiting good shot feeling and excellent resilience. The present invention provides a golf ball comprising a spherical core and one or more cover layers disposed outside the spherical core, wherein at least one layer of the cover layers contains: (A) a base resin containing (a-1) an ionomer resin and having a material hardness of 59 or more in Shore D hardness; and (B) a polyrotaxane having a cyclodextrin with at least a part of hydroxyl groups of the cyclodextrin being modified with a caprolactone chain via —O—C3H6—O— group, a linear molecule piercing through a cyclic structure of the cyclodextrin, and blocking groups located at both terminals of the linear molecule to prevent disassociation of the cyclodextrin.

Abstract: The present invention is directed to golf balls having improved aerodynamic performance due, at least in part, to the selection of the dimple plan shapes. In particular, the present invention is directed to a golf ball that includes at least a portion of its dimples having a plan shape defined by high frequency periodic functions along a simple closed path. In addition, the present invention provides methods for producing dimples having a plan shape defined by a high frequency periodic function along a simple closed path.

Abstract: Golf ball dimples having a surface defined by a mode, or a weighted superposition of multiple modes, of oscillation of a circular membrane are disclosed.

Abstract: Golf balls according to the present invention achieve flight symmetry and overall satisfactory flight performance due to a dimple surface volume ratio that is equivalent between opposing hemispheres despite the use of different dimple geometries, different dimple arrangements, and/or different dimple counts on the opposing hemispheres.

Abstract: The present invention provides a method for arranging dimples on a golf ball surface in which the dimples are arranged in a pattern derived from at least one irregular domain generated from a regular or non-regular polyhedron. The method includes choosing control points of a polyhedron, generating an irregular domain based on those control points, packing the irregular domain with dimples, and tessellating the irregular domain to cover the surface of the golf ball. The control points include the center of a polyhedral face, a vertex of the polyhedron, a midpoint or other point on an edge of the polyhedron and others. The method ensures that the symmetry of the underlying polyhedron is preserved while minimizing or eliminating great circles due to parting lines.

Abstract: The present invention provides a method for arranging dimples on a golf ball surface in which the dimples are arranged in a pattern derived from at least one irregular domain generated from a regular or non-regular polyhedron. The method includes choosing control points of a polyhedron, generating an irregular domain based on those control points, packing the irregular domain with dimples, and tessellating the irregular domain to cover the surface of the golf ball. The control points include the center of a polyhedral face, a vertex of the polyhedron, a midpoint or other point on an edge of the polyhedron and others. The method ensures that the symmetry of the underlying polyhedron is preserved while minimizing or eliminating great circles due to parting lines.

Abstract: The present invention is directed to golf balls having improved aerodynamic performance due, at least in part, to the alteration of the dimple surfaces. In particular, the present invention relates to a golf ball that includes at least a portion of its dimples having circular perimeters and dimple profiles having a concentric groove or a non-concentric groove on the surface of the dimple. The golf ball dimples of the present invention provide golf ball surfaces having unique appearances, while maintaining ideal aerodynamic characteristics.

Abstract: The present invention provides a method for arranging dimples on a golf ball surface in which the dimples are arranged in a pattern derived from at least one irregular domain generated from a regular or non-regular polyhedron. The method includes choosing control points of a polyhedron, generating an irregular domain based on those control points, packing the irregular domain with dimples, and tessellating the irregular domain to cover the surface of the golf ball. The control points include the center of a polyhedral face, a vertex of the polyhedron, a midpoint or other point on an edge of the polyhedron and others. The method ensures that the symmetry of the underlying polyhedron is preserved while minimizing or eliminating great circles due to parting lines.

Abstract: A golf ball 2 includes a core 4, one or more mid layers 6, a cover 8, and dimples 10. A central hardness Ho and a surface hardness Hs of the core 4, a hardness Hm(min) of a layer having a lowest hardness among the mid layers 6, and a hardness Hc of the cover 8 satisfy the following mathematical formulas (1) to (4). Hs?Ho>15??(1) Hc?Hm(min)>20??(2) ?10<Hm(min)?Ho<15??(3) 5<Hc?Hs<20??(4) An occupation ratio So and a ratio Rs of a number of the dimples 10 each having a diameter of from 9.60% to 10.37% of a diameter of the golf ball 2, relative to a total number of the dimples 10, satisfy the following mathematical formula (5). Rs??2.5*So+273??(5).

Abstract: The present invention provides a golf ball wherein each hemisphere has a dimple pattern based on a pyramid having dissimilar sides. The resulting overall dimple pattern is not based on preexisting polyhedral, and is not attainable using conventional dimple packing methods.

Abstract: A golf ball has, on a surface thereof, a rugged pattern composed of a land and a large number of dimples. A method for designing the rugged pattern includes the steps of: (1) assuming a large number of circles on a surface of a phantom sphere; (2) assuming a large number of generating points 16 based on positions of the large number of circles; (3) assuming a large number of Voronoi regions 18 on the surface of the phantom sphere by a Voronoi tessellation based on the large number of generating points 16; and (4) assigning a dimple and a land to the surface of the phantom sphere based on contours of the large number of Voronoi regions 18.

Abstract: The present invention relates to golf balls having improved packing efficiency and aerodynamic characteristics and a high degree of dimple interdigitation. In particular, the present invention relates to a golf ball including at least a portion of dimples having a plan shape defined by low frequency periodic functions having high amplitudes. The present invention is also directed to methods of developing the dimple plan shape geometries, as well as methods of making the finished golf balls with the inventive dimple patterns applied thereto.

Abstract: The present invention provides a method for arranging dimples on a golf ball surface in which the dimples are arranged in a pattern derived from at least one irregular domain generated from a regular or non-regular polyhedron. The method includes choosing control points of a polyhedron, generating an irregular domain based on those control points, packing the irregular domain with dimples, and tessellating the irregular domain to cover the surface of the golf ball. The control points include the center of a polyhedral face, a vertex of the polyhedron, a midpoint or other point on an edge of the polyhedron and others. The method ensures that the symmetry of the underlying polyhedron is preserved while minimizing or eliminating great circles due to parting lines.

Abstract: A golf ball has a lower drag than conventional golf balls due to the arrangement of dimples on the outer surface of the golf ball, which arrangement produces a correspondingly lower percentage of outer surface area that is covered by the dimples. In particular, dimple coverage area may be less than 70%, and more specifically between about 18.6% and about 60.8%, of the outer surface area. Various combinations of dimple characteristics can be combined to produce the low dimple coverage, low drag golf ball, such as the number of dimples, pattern and spacing of dimples, dimple diameter, dimple depth, and dimple shape. The dimple characteristics can be selected so that the golf ball meets the requirements of the United States Golf Association and other golf organizations.

Abstract: A golf ball having the contour wherein at least one dimple has the cross-section of the dimple surface based on a modified witch of Agnesi curve and defined by the equation in the form of: y ? ( x ) = - C 1 ? a 3 x 2 + C 2 ? a 2 + C 1 ? a 3 ( d 2 ) 2 + C 2 ? a 2 wherein: y is the vertical distance from the dimple apex, x is the radial distance from the dimple apex, a is equal to the radius of the circle in the witch of Agnesi, d is the dimple diameter, and C1 and C2 are constants that will produce a variety of dimple surfaces from a variety of functions.

Abstract: The present invention provides a method for arranging dimples on a golf ball surface in which the dimples are arranged in a pattern derived from at least one irregular domain generated from a regular or non-regular polyhedron. The method includes choosing control points of a polyhedron, generating an irregular domain based on those control points, packing the irregular domain with dimples, and tessellating the irregular domain to cover the surface of the golf ball. The control points include the center of a polyhedral face, a vertex of the polyhedron, a midpoint or other point on an edge of the polyhedron and others. The method ensures that the symmetry of the underlying polyhedron is preserved while minimizing or eliminating great circles due to parting lines.

Abstract: 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. Additionally, the dimples preferably have a circular boundary and maintain an axis coincident with the center of the circular boundary.

Abstract: The present invention provides a golf ball having an outer surface comprising a plurality of dimples covering greater than 70 percent of the outer surface, wherein at least 20 percent of the dimples incorporate directional surface texturing therein. The directional surface texturing preferably comprises substantially parallel channels or protrusions formed within the dimples.

Abstract: A golf ball has a large number of dimples on a surface thereof. The golf ball meets the following mathematical formula (I): Su?9.0*So?6.04??(I), Where: So represents a ratio of a sum of spherical surface areas of all the dimples to a surface area of a phantom sphere of the golf ball; and Su represents a standard deviation (mm2) of the spherical surface areas of all the dimples. Preferably, the ratio So is equal to or greater than 0.780. Preferably, the standard deviation Su is equal to or less than 2.150 mm2. Preferably, a number of the dimples is equal to or greater than 300 but equal to or less than 390. Preferably, an average Sa of the spherical surface areas s of all the dimples is equal to or greater than 14.00 mm2.

Abstract: Golf balls according to the present invention achieve flight symmetry and overall satisfactory flight performance due to a dimple volume ratio that is equivalent between opposing hemispheres despite the use of different dimple geometries on the opposing hemispheres.

Abstract: Disclosed is a golf ball in which a plurality of dimples is arranged. The golf ball includes first dimples having the largest diameter and second dimples having the second largest diameter arranged on the surface of the golf ball divided into a spherical rhombic dodecahedron, the first dimples are arranged in an LF region of a radius of ?/10 radian ±10% around a first apex of the spherical rhombic dodecahedron, shared jointly by 4 spherical rhombi, and the second dimples are arranged in an LS region of a radius of ?/20 radian ±10% around a second apex of the spherical rhombic dodecahedron, shared jointly by 3 spherical rhombi. Thereby, air flow and pressure drag are uniformized in all of spherical polygons and thus, a carry distance of the golf ball may be improved.

Abstract: Methods for selecting golf balls based on environmental factors are provided. Such methods involve indicating a golfing environment and establishing one or more corresponding environmental factors. Such methods may include ascertaining one or more trajectory components that are dependent upon the environmental factors. One or more aspects of golf ball construction may pertinent to the environmental factors, or to the trajectory components, may then be determined. Upon identifying a plurality of golf balls and a selection criteria related to the golf ball construction aspects, a golf ball may be selected.

Abstract: A golf ball dimple having a plurality of arms wherein each arm includes a leading edge, a trailing edge, side walls, and a sloped floor. The dimples of the invention may be included in a dimple pattern that may also include other types of dimples.

Abstract: A golf ball 2 has numerous craters 8 on its surface. The craters 8 are arranged randomly. Of the surface of the golf ball 2, a part other than the craters 8 is a land 10. By the craters 8 and the land 10, a rugged pattern is formed on the golf ball 2. A process for designing the rugged pattern includes the steps of: (1) assuming a plurality of states; (2) assuming a large number of cells on a spherical surface; (3) deciding an initial state of each cell; (4) determining whether or not to change a state of the each cell based on states of a plurality of cells located adjacent to the each cell; (5) updating the state of the each cell based on the determination; and (6) assigning a land 10 or a recess to the each cell according to the state of the each cell.

Abstract: 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.

Abstract: A method of making a golf ball may include molding at least one core layer and molding an outer cover layer radially outward of the at least one core layer, from an outer cover layer material, including forming one or more grooves extending radially inward from an outer surface of the outer cover layer. The method may also include molding a groove material within the one or more grooves, the groove material having a compressibility that is different from a compressibility of the outer cover layer material. In addition, molding the groove material may include forming the groove material such that an outer surface of the groove material extends radially outward beyond the outer surface of the outer cover layer.

Abstract: The invention provides a golf ball with a surface having a plurality of dimples formed thereon. Some or all of the dimples on the ball surface have a cross-sectional shape in which, letting a straight line passing through any one edge of the dimple and a foot of a perpendicular (pedal) dropped from an imaginary plane defined by a peripheral edge of the dimple to a deepest point of the dimple serve as a reference line, and establishing a plurality of specific regions on the reference line from the dimple edge as 0% to the pedal as 100%, the average depths of the dimple from the reference line in the respective established regions satisfy specific conditions. By reducing the air resistance during flight and thus enhancing the aerodynamic performance, this golf ball achieves a higher trajectory, enabling the ball to travel further.

Abstract: [Problem to be solved] To provide a golf ball with improved flight distance due to improvement in aerodynamic properties by means of contriving dimple designs. The golf ball is in the shape of a sphere and is composed of dimples and lands excluding dimples, wherein said dimples are formed by elliptical dimples together with circular dimples, wherein one said elliptical dimple overlaps said circular dimples at both end parts in its major axis direction, said circular dimples and said elliptical dimples are connected with each other, and one said land is formed between three said elliptical dimples.

Abstract: A golf ball 2 includes a spherical core 4 and a cover 6 positioned outside the core 4. The golf ball 2 further has dimples 8 on a surface thereof. The core 4 is obtained by crosslinking a rubber composition. The difference between a hardness H(5.0) at a point that is located at a distance of 5 mm from the central point of the core 4, and a hardness Ho at the central point is equal to or greater than 6.0. The difference between a hardness H(12.5) at a point that is located at a distance of 12.5 mm from the central point, and the hardness H(5.0) is equal to or less than 4.0. The difference between a hardness Hs at the surface of the core 4 and the hardness H(12.5) is equal to or greater than 10.0. The difference between the hardness Hs and the hardness Ho is equal to or greater than 22.0. There is no zone in which a hardness decreases from the central point to the surface. The rubber composition of the core 4 includes 2-naphthalenethiol. A cross-sectional shape of each dimple 8 is a wave-like curve.

Abstract: The present invention relates to golf balls, specifically, to a golf ball with multifaceted depressions comprising two discrete geometries surrounded by a first perimeter. A second perimeter is circumscribed within the first and surrounds prismatoid depressions or protrusions. Primarily the first and second perimeters are circular and the depressions or protrusions are based on a polyhedral prismatoid having a minimum of three and a maximum of twelve edges, wherein the ratio of the first and second diameters is between 0.25 to 0.90.

Abstract: Golf ball dimples having a cross-sectional profile shape defined by the envelope of the response of an under damped harmonic oscillator are disclosed.