CN204411621U - Golf - Google Patents

Golf Download PDF

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Publication number
CN204411621U
CN204411621U CN201320723805.XU CN201320723805U CN204411621U CN 204411621 U CN204411621 U CN 204411621U CN 201320723805 U CN201320723805 U CN 201320723805U CN 204411621 U CN204411621 U CN 204411621U
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CN
China
Prior art keywords
territory
golf
summit
irregular
face
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Lifetime
Application number
CN201320723805.XU
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Chinese (zh)
Inventor
迈克尔·R·马德森
尼古拉斯·M·纳达西
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Acushnet Co
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Acushnet Co
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Publication date
Priority claimed from US13/675,041 external-priority patent/US20130072325A1/en
Application filed by Acushnet Co filed Critical Acushnet Co
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    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/0004Surface depressions or protrusions
    • A63B37/0006Arrangement or layout of dimples
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/0004Surface depressions or protrusions
    • A63B37/0005Protrusions
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/0004Surface depressions or protrusions
    • A63B37/0007Non-circular dimples
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/0004Surface depressions or protrusions
    • A63B37/0007Non-circular dimples
    • A63B37/0009Polygonal
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/0004Surface depressions or protrusions
    • A63B37/0018Specified number of dimples
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B37/00Solid balls; Rigid hollow balls; Marbles
    • A63B37/0003Golf balls
    • A63B37/0004Surface depressions or protrusions
    • A63B37/0021Occupation ratio, i.e. percentage surface occupied by dimples

Abstract

The utility model provides a kind of golf, it has outer surface, this outer surface comprises multiple indentures of the multiple replication form layouts covering the territory of outer surface with uniform pattern, and wherein said territory is limited by the non-rectilinear face extended from pole to pole, and wherein said territory is symmetrical about the center in territory.It also comprises selects polyhedral control point, produces irregular territory, and fills irregular territory with indenture, and inlay irregular territory, to cover golf ball surface based on these control points.Control point comprises mid point on the center of face of a polyhedron, polyhedral summit, polyhedral edge or other points etc.The method guarantee can to keep while reducing or eliminating the large circle that causes due to parting line below polyhedral symmetry.

Description

Golf
The cross reference of related application
The application is that the part of the U.S. Patent application No.13/667175 that on November 2nd, 2012 submits to continues, this application is the part continuation of the U.S. Patent application No.13/046823 that the U.S. Patent application No.13/252260 and 2011 submitted on October 4th, 2011 submits 14, on March, be the U.S. Patent application No.12/262464 of submission on October 31st, 2008, now for the part of U.S. Patent No. 8029388 continues, its overall disclosure is incorporated herein by reference.
Technical field
The utility model relates to golf, particularly relates to one and has unique golf of filling (packed) patterns of indentations.More especially, the utility model relates to a kind of by producing irregular territory according to polyhedron, particularly dipyramid, filling irregular territory with indenture and this territory being embedded in golf surface to come up to arrange the method for indenture on golf.
Background technology
In history, the patterns of indentations for golf has had multiple geometry, pattern and structure.Mainly, pattern is arranged to the manipulation characteristic providing expectation according to sportsman's characteristic of specific ball structure, material properties and the initial percussion angle and rotation status that affect ball.Therefore, the exploitation of pattern is used to the secondary design procedure realizing suitable aerodynamic quality, the flight characteristics controlling ball thus and performance.
The air force educational level awing produced by ball is caused by its speed and rotation.These power can be represented as lifting force and drag.Lifting force perpendicular to flight direction, and be rotate ball above and below air velocity difference cause.This phenomenon is summarized as Magnus Effect, and Magnus so described after studying the air force educational level on spinning ball and cylinder in 1853, and is described by Bernoulli equation (simplification of first law of thermodynamics).Bernoulli equation makes pressure and velocity correlation, wherein square being inversely proportional to of pressure and speed.The power be directed upwards towards that the speed difference caused due to the very fast motive air at top and the slower motive air of bottom causes the lower air pressure at top and acts on ball.
The direction of towing is contrary with heading and perpendicular to lifting force.Drag on ball is summarized as parasitic drag, and it comprises pressure towing and viscosity or friction subsurface and pulls.Ball is bluff body, and it has non-effective aerodynamic shape.Therefore, very large pressure differential is caused in the acceleration flow field around ball, and its mesohigh is before ball, and low pressure is after ball.Ball area of low pressure below is also known as tail (wake).Minimum in order to make pressure pull, indenture provides as flow field energy supply and postpones the separation of stream or reduce the measure in the tail region after ball.Friction subsurface is the viscous effect on the ball surface in boundary layer.
This area is sought many effort by indenture interference and additive method and is made the aerodynamic efficiency of golf maximum, although they are strictly controlled by golf governing body of country (United States Golf Association (USGA)).A requirement of USGA is that golf club has air force symmetry.Air force symmetry allows ball with the flight of very little variable quantity, and no matter how golf is placed on ball seat or ground.Preferably, indenture covers the maximized surface area of golf, and does not adversely affect the air force symmetry of golf.
In the symmetric trial of improvement air force, many patterns of indentations are based on geometry.These shapes comprise circle, hexagon, triangle etc.Other patterns of indentations is generally based on five kinds of Platonic solids, and it comprises icosahedron, dodecahedron, octahedron, cube or tetrahedron.Other patterns of indentations based on 13 kinds of Archimedes's entities, such as little icosidodecahedron, tiltedly icosidodecahedron, little oblique pair of cuboctahedron, short cube, short dodecahedron or cut icosahedron.In addition, other patterns of indentations is based on hexagon dipyramid.Because the quantity of symmetrical physical plane system is restricted, be difficult to design new symmetrical pattern.In addition, the patterns of indentations based on some shapes of these geometries causes not best surface coverage and other disadvantageous indenture to arrange.Therefore, the indenture performance usually attempting manipulating such as quantity, shape, size, volume and layout has the golf of the aerodynamic quality of improvement with formation.
The U.S. Patent No. 5562552 of Thurman discloses a kind of golf, it has icosahedron patterns of indentations, wherein icosahedral each gore by three straight lines separately, this straight line divides the bight in this face respectively equally, to form three gores being used for each icosahedron face, wherein indenture is consistently arranged on icosahedron face.
The U.S. Patent No. 5046742 of Mackey discloses a kind of golf, and it has the indenture be filled in the polyhedron comprising hexagon and pentagonal 32, and it is identical that the indenture wherein in each hexagon and pentagon is filled.
The open one of U.S. Patent No. 4998733 of Lee forms golf by ten " spherical " is hexagonal, hexagon is divided into six equilateral triangles respectively, wherein each triangle is split by the bisector extended between vertex of a triangle and the mid point of the side relative with this summit, and bisector is directed, to realize the symmetry improved.
The U.S. Patent No. 6682442 of Winfield discloses the polygonal use as the packing elements for indenture, patterns of indentations is introduced in predictable change.Polygon extends to parting line from the pole of ball.Any indenture of not filling other from the space of polygon filling indenture.
Utility model content
In one embodiment, the utility model is for a kind of golf, and it has the outer surface comprising multiple indenture.Indenture covers the irregular territory of outer surface multiple replication form with uniform pattern are arranged.This irregular territory is formed to edge method by summit, the method projects on spheroid as the vertical line that the same intervals of the n from pole to pole is opened based on using n face dipyramid, this vertical line is split by the line around equator, to limit the Northern Hemisphere and the Southern Hemisphere, the patterns of indentations wherein on the Northern Hemisphere is the mirror image of the patterns of indentations on the Southern Hemisphere.
In another embodiment, the utility model is for a kind of golf, and it has the outer surface comprising true parting line, multiple virtual parting line and multiple indenture.Indenture with by inlaying irregular territory in case with uniform pattern cover outer surface limit patterns of indentations arrange.Irregular territory is defined by the segmentation that produced to edge method by summit and multiple copying thereof according to n face dipyramid.Segmentation and multiple true and virtual parting line copying formation ball thereof.
In another embodiment, the utility model is for a kind of method of arranging multiple indenture on golf ball surface.The method comprises use summit and produces irregular territory to edge method according to n face dipyramid, fills irregular territory, and inlay irregular territory to cover the surface of golf in an uniform way with indenture.Summit comprises to the method at edge and projects on spheroid by dipyramid, and each mask of dipyramid has summit at one end to connect and two lateral edges connected by another base edge brought out; By non-rectilinear segmentation, this summit is connected to the some P of base edge, and in the mode producing irregular territory, pattern is formed to this segmentation.
Accompanying drawing explanation
The following drawings constitutes the part of this description and reads in conjunction with description, and wherein, identical Reference numeral represents same parts in multiple view.
Figure 1A shows the golf having and arranged indenture by method of the present utility model; Figure 1B shows face of a polyhedron; Fig. 1 C shows the element of the present utility model in the face of a polyhedron of Figure 1B; Fig. 1 D shows and fills formation and the territory formed by two elements of Fig. 1 C by method indenture of the present utility model;
Fig. 2 shows polyhedral single it with control point;
Fig. 3 A shows face of a polyhedron; Fig. 3 B shows the element of the present utility model of filling with indenture; Fig. 3 C shows the territory of the present utility model of the indenture filling formed with the element by Fig. 3 B; Fig. 3 D shows and forms golf by method of the present utility model by the territory of Fig. 3 C;
Fig. 4 A shows two face of a polyhedrons; Fig. 4 B shows the first territory of the present utility model in two face of a polyhedrons of Fig. 4 A; Fig. 4 C shows the first territory of the present utility model in three face of a polyhedrons and the second territory; Fig. 4 D shows the golf formed by the territory of Fig. 4 C by method of the present utility model;
Fig. 5 A shows face of a polyhedron; Fig. 5 B shows the first territory of the present utility model in face of a polyhedron; Fig. 5 C shows the first territory of the present utility model in three face of a polyhedrons and the second territory; Fig. 5 D shows the golf using method of the present utility model to be formed by the territory of Fig. 5 C;
Fig. 6 A shows face of a polyhedron; Fig. 6 B shows the part in the territory of the present utility model in the face of a polyhedron of Fig. 6 A; Fig. 6 C shows the territory formed by method of the present utility model; Fig. 6 D shows the golf using method of the present utility model to be formed by the territory of Fig. 6 C;
Fig. 7 A shows face of a polyhedron; Fig. 7 B shows the territory of the present utility model in the face of a polyhedron of Fig. 7 A; Fig. 7 C shows the golf formed by method of the present utility model;
Fig. 8 A shows the first element of the present utility model in face of a polyhedron; Fig. 8 B shows the first and second elements of the present utility model in the face of a polyhedron of Fig. 8 A; Fig. 8 C shows two territories of the present utility model of the first and second elements comprising Fig. 8 B; Fig. 8 D shows the individual domain of the present utility model in two territories based on Fig. 8 C; Fig. 8 E shows the golf using method of the present utility model to be formed by the territory of Fig. 8 D;
Fig. 9 A shows face of a polyhedron; Fig. 9 B shows the element of the present utility model in the face of a polyhedron of Fig. 9 A; Fig. 9 C shows combination to form two elements of Fig. 9 B in territory of the present utility model; Fig. 9 D shows the territory formed based on the element of Fig. 9 C by method of the present utility model; Fig. 9 E shows the golf using method of the present utility model to be formed by the territory of Fig. 9 D;
Figure 10 A shows the face of granatohedron; Figure 10 B shows the segmentation of the present utility model in the face of Figure 10 A; Figure 10 C shows the segmentation of Figure 19 B forming territory of the present utility model and copies; Figure 10 D shows the territory formed based on the segmentation of Figure 10 C by method of the present utility model; And Figure 10 E shows the golf formed by the territory of Figure 10 D by method of the present utility model;
Figure 11 A shows the octahedral plane be projected on spheroid; Figure 11 B shows the first territory of the present utility model in the octahedral plane of Figure 11 A; Figure 11 C shows and is projected in the first territory of the present utility model on spheroid and the second territory; Figure 11 D shows by the territory of Figure 11 C on the surface inlaying to cover spheroid; Figure 11 E shows a part for the golf using method of the present utility model to be formed; Figure 11 F show the golf using method of the present utility model to be formed another not; And Figure 11 G shows the golf using method of the present utility model to be formed;
Figure 12 A shows the icosahedron face be projected on spheroid; Figure 12 B shows the first territory of the present utility model in the icosahedron face of Figure 12 A; Figure 12 C shows and is projected in the first territory of the present utility model on spheroid and the second territory; Figure 12 D shows by the territory of Figure 12 C on the surface inlaying to cover spheroid; Figure 12 E shows a part for the golf using method of the present utility model to be formed; Figure 12 F shows the another part of the golf using method of the present utility model to be formed; And Figure 12 G shows the golf using method of the present utility model to be formed.
Figure 13 A shows cube dignity be projected on spheroid; Figure 13 B shows the first territory of the present utility model in cube dignity of Figure 13 A; Figure 13 C shows and is projected in the first territory of the present utility model on spheroid and the second territory; Figure 13 D shows by the territory of Figure 13 C on the surface inlaying to cover spheroid; Figure 13 E shows first territory of the present utility model of filling with indenture; Figure 13 F shows second territory of the present utility model of filling with indenture; And Figure 13 G shows the golf using method of the present utility model to be formed;
Figure 14 A shows six dipyramids be projected on spheroid; Figure 14 B shows the segmentation in the face of the dipyramid of Figure 14 A according to an embodiment of the present utility model; Figure 14 C shows the irregular territory produced according to an embodiment of the present utility model; Figure 14 D shows the irregular territory produced according to another embodiment of the present utility model; Figure 14 E shows the irregular territory of Figure 14 C filled with indenture; Figure 14 F shows the irregular territory of Figure 14 D filled with indenture; Figure 14 G shows the golf using and formed according to the method for an embodiment of the present utility model; And Figure 14 H shows the golf using and formed according to the method for another embodiment of the present utility model.
Detailed description of the invention
The utility model provide a kind of on golf ball surface with the method for the patterned arrangement indenture of deriving from least one the irregular territory produced by rule or irregular polyhedrons.The method comprises selects polyhedral control point, control point is connected with non-directional sketch line, in the first way pattern is formed to produce irregular territory to sketch line, optionally in a second manner pattern is formed to sketch line, to create additional irregular territory, fill irregular territory with indenture, and inlay irregular territory, to cover the surface of golf with uniform pattern.Control point comprises the center of face of a polyhedron, polyhedral summit, the mid point at polyhedron edge or other point etc.The method guarantee to keep while making to minimize or eliminate the large circle caused due to the parting line of molding process below polyhedral symmetry.
In special embodiment, as shown in Figure 1A, the utility model comprises the golf 10 with indenture 12.Indenture 12 is arranged by filling irregular territory 14 with indenture, sees as Fig. 1 D is clear.Irregular territory 14 creates as follows, and time namely on the surface being embedded in golf 10, compared with the ball of prior art, the symmetry of larger grade is given surface by them.Territory 14 irregularly shaped makes the outward appearance of the golf parting line of molding process and minimised in addition, and compared with obtaining with rule shaping territory, allows the larger flexibility of arranging indenture.
For the purpose of this utility model, term " irregular territory " refers to the territory that wherein at least one and the segmentation being preferably all defined domain border are not straight lines.
Irregular territory can limit by using arbitrary illustrative methods described herein.In one embodiment, the method produces one or more unique territory based on the external spheroid in summit by regular polyhedron.The summit of external spheroid based on corresponding polyhedral summit with initial point (0,0,0) limits in form 1 below.
Form 1
Based on the summit of the external spheroid on corresponding polyhedron summit
In another embodiment, the method is formed and produces unique territory based on being projected in by dipyramid on spheroid.
Often kind of method has one group of unique rule, and territory forms symmetrical pattern according to this rule on the surface of golf.Often kind of method is limited by the combination at least two control points.Comprise at least with Types Below from rule or one or more these control points obtained of irregular polyhedrons: the some P the mid point M at edge, the summit V of dipyramid of the center C of face of a polyhedron, the summit V in regular polyhedron face, face of a polyhedron and the base edge E of dipyramid.
Fig. 2 shows one in each center C, mid point M, summit V and the edge E on the exemplary face 16 of polyhedron (the regular dodecahedron in this example) and face 16.Two control points C, M or V can be identical or different types.Therefore, six kinds of methods for regular polyhedron are defined below:
1. center is to mid point (C → M);
2. center to center (C → C);
3. center is to summit (C → V);
4. mid point is to mid point (M → M);
5. mid point is to summit (M → V); And
6. summit is to summit (V → V).
Figure 14 B shows the some P on exemplary dipyramid, the summit V of dipyramid and the base edge E of dipyramid.Therefore, a kind of method for dipyramid is defined as summit to edge method (V → E).
Although the details of often kind of method is different, they follow identical basic ideas.First, non-linear sketch line is drawn into connection two control points.This sketch line can have any shape, including, but not limited to arc, spline shape, two or more straight line or camber line or curve, or its combination.Secondly, sketch line in a particular manner method forms pattern, to create territory, describes as follows.3rd, when needed, sketch line forms pattern in a second manner, to create the second territory.
Although the basic ideas of often kind of method of six kinds of methods are consistent, often kind of method preferably follows different step, from the sketch line formative region between two control points, to describe separately below with reference to often kind of method.
center is to vertex method
Refer again to Figure 1A-1D, center forms a kind of territory to vertex method, and it inlays the surface covering golf 10.This territory limits as follows:
1. selective rule polyhedron (Figure 1A-1D uses icosahedron);
2. the polyhedral single face 16 of selective rule, as shown in Figure 1B;
3. the center C in the face 16 and first summit V in face 16 1connected, hereinafter referred to as segmentation 18 by any non-linear sketch line;
4. copying of segmentation 18 20 is rotated around center C, make to copy 20 by center C with near summit V 1summit V 2connect.Two segmentations 18 and 20 and connect Vertex V 1and V 2edge limited element 22, illustrate as Fig. 1 C is clear; And
5. element 22 rotates around the mid point M of edge E to create territory 14, illustrates as Fig. 1 D is clear.
When being inlayed to cover golf 10 surperficial in territory 14, as shown in Figure 1A, according to as control point C and V 1basis select regular polyhedron, will the overall territory 14 of varying number be obtained.Being used for the quantity in territory 14 on the surface covering golf 10 equals polyhedral selected P fquantity be multiplied by the edge P of polyhedral each equantity divided by 2, as shown in form 2 below.
Form 2
In use the heart is to the territory using specific polyhedron to obtain during the mode of summit
Polyhedron type Face P FQuantity Edge P EQuantity The quantity in territory 14
Tetrahedron 4 3 6
Cube 6 4 12
Octahedra 8 3 12
Dodecahedron 12 5 30
Icosahedron 20 3 30
center is to midpoint method
Refer again to Fig. 3 A-3D, center is formed to midpoint method a kind ofly can be inlayed to cover the single irregular territory on the surface of golf 10.This territory limits as follows:
1. selective rule polyhedron (Fig. 3 A-3D uses dodecahedron);
2. the dodecahedral single face 16 of selective rule, as shown in Figure 3A;
3. the center C in the face 16 and first edge E in face 16 1mid point M 1connected by segmentation 18;
4. copying of segmentation 18 20 is rotated around center C, make to copy 20 by center C with near the first edge E 1the second edge E 2mid point M 2connect.Two segmentations 16 and 18 and edge E 1with edge E 2at mid point M 1and M 2between part limit element 22; And
5. element 22 becomes pattern around the summit V-arrangement in face 16, and the summit V in this face 16 is included in element 22, and connects edge E 1and E 2with formative region 14.
When being inlayed to cover golf 10 surperficial around golf 10 in territory 14, as shown in Figure 3 D, according to as control point C and M 1basis select regular polyhedron, will the overall territory 14 of varying number be obtained.Being used for the quantity in territory 14 on the surface covering golf 10 equals selected polyhedral summit P vquantity, as shown in form 3 below.
Form 3
In use the heart is to the territory using specific polyhedron to obtain during midpoint method
Polyhedron type Summit P VQuantity The quantity in territory 14
Tetrahedron 4 4
Cube 8 8
Octahedra 6 6
Dodecahedron 20 20
Icosahedron 12 12
center to center method
Refer again to Fig. 4 A-4D, center to center method is formed can be inlayed to cover two territories on the surface of golf 10.This territory limits as follows:
1. selective rule polyhedron (Fig. 4 A-4D uses dodecahedron);
2. polyhedral two adjacent surface 16a and 16b of selective rule, as shown in Figure 4 A;
3. the center C of a 16a 1with the center C of face 16b 2connected by segmentation 18;
4. segmentation 18 copy 20 around center C 1and C 2between mid point M rotate 180 degree, make to copy 20 Ye Jiang center C 1with center C 2connect, as shown in Figure 4 B.Two segmentations 16 and 18 limit the first territory 14a; And
5. segmentation 18 is rotated around summit V to limit the second territory 14b equally, as shown in Figure 4 C.
When the first territory 14a and the second territory 14b is inlayed to cover golf 10 surperficial, as shown in Figure 4 D, according to as control point C 1and C 2basis select regular polyhedron, will overall territory 14a and 14b of varying number be obtained.Being used for the quantity of the first and second territory 14a and 14b on the surface covering golf 10 be the quantity of the first territory 14a is P f* P e/ 2 and second the quantity of territory 14b be P v, as shown in form 4 below.
Form 4
Use the territory that center to center method uses specific polyhedron to obtain
Polyhedron type Summit P VQuantity The quantity of the first territory 14a Face P FQuantity Edge P EQuantity The quantity of flow control two territory 14b
Tetrahedron 4 6 4 3 4
Cube 8 12 6 4 8
Octahedra 6 9 8 3 6
Dodecahedron 20 30 12 5 20
Icosahedron 12 18 20 3 12
mid point is to midpoint method
With reference to figure 5A-5D, 11A-11G, 12A-12G and 13A-13G, mid point is formed can be inlayed to cover two territories on the surface of golf 10 to midpoint method.This territory limits as follows:
1. selective rule polyhedron (Fig. 5 A-5D uses dodecahedron, and Figure 11 A-11G uses octahedron, and Figure 12 A-12G uses icosahedron, and Figure 13 A-13G uses cube);
2. the single face 16 of regular polyhedron is projected on spheroid, as shown in Fig. 5 A, 11A, 12A and 13A;
3. the first edge E in face 16 1mid point M 1with contiguous first edge E 1the second edge E 2mid point M 2connected by segmentation 18, as shown in Fig. 5 A, 11A, 12A and 113A;
4. segmentation 18 is to equal 360/P e, rotational angle around face 16 center C formed pattern, to form the first territory 14a, as Fig. 5 B, 11B, 12B and 13B;
5. segmentation 18 and the first edge E 1with the second edge E 2at mid point M 1and between M 2part limit element 22, as Fig. 5 B, 11B, 12B and 13B; And
6. element 22 is around connection edge E 1and E 2summit V-arrangement become pattern, to create the second territory 14b, if Fig. 5 C, 11C, 12C and 13C(are in Figure 12 C, 12D and 13D, each section in the second territory is denoted as 14b).The number of fragments formed in the pattern in the second territory equals P f* P e/ P v.
When the first territory 14a and the second territory 14b is inlayed to cover golf 10 surperficial, as shown in Fig. 5 D, 11D, 12D and 13D, according to as control point M 1and M 2basis select regular polyhedron, will overall territory 14a and 14b of varying number be obtained.Being used for the quantity of the first and second territory 14a and 14b on the surface covering golf 10 be the quantity of the first territory 14a is P fand second the quantity of territory 14b be P v, as shown in form 5 below.
In the particular aspects of the embodiment shown in Figure 11 A-11G, segmentation 18 forms the part of the true or virtual parting line of golf 10.Therefore, segmentation 18 and each territory that is replicated in of being formed by above step 4 and 6 are by true parting line and three the virtual parting lines inlayed to form ball during ball covering on soil surperficial.
In the particular aspects of the embodiment shown in Figure 12 A-12G, segmentation 18 and each territory that is replicated in of being formed by above step 4 and 6 are by true parting line and five the virtual parting lines inlayed to form ball during ball covering on soil surperficial.
In the particular aspects of the embodiment shown in Figure 13 A-13G, segmentation 18 and each territory that is replicated in of being formed by above step 4 and 6 are by true parting line and three the virtual parting lines inlayed to form ball during ball covering on soil surperficial.
Form 5
Use the territory that mid point uses specific polyhedron to obtain to midpoint method
Polyhedron type Face P FQuantity The quantity of the first territory 14a Summit P VQuantity The quantity of the second territory 14b
Tetrahedron 4 4 4 4
Cube 6 6 8 8
Octahedra 8 8 6 6
Dodecahedron 12 12 20 20
Icosahedron 20 20 12 12
mid point is to vertex method
With reference to figure 6A-6D, mid point is formed to vertex method is inlayed to cover a territory on the surface of golf 10.This territory limits as follows:
1. selective rule polyhedron (Fig. 6 A-6D uses dodecahedron);
2. the polyhedral single face 16 of selective rule, as shown in Figure 6A;
3. the edge E in face 16 1mid point M 1with edge E 1on summit V 1connected by segmentation 18;
4. segmentation 18 copy 20 around face 16 center C formed pattern, use each mid point M respectively 2with the summit V in face 16 2, so that a part for defined domain 14, as shown in Figure 6B; And
5. segmentation 18 and copy 20 and then rotate 180 degree respectively around its respective mid point, to realize territory 14, as shown in Figure 6 C.
When being inlayed to cover golf 10 surperficial in territory 14, as shown in Figure 6 D, according to as control point M 1and V 1basis select regular polyhedron, will the overall territory 14 of varying number be obtained.Being used for the quantity in territory 14 on the surface covering golf 10 is P f, as shown in form 6 below.
Form 6
In use to the territory that vertex method uses specific polyhedron to obtain
Polyhedron type Face P FQuantity The quantity in territory 14
Tetrahedron 4 4
Cube 6 6
Octahedra 8 8
Dodecahedron 12 12
Icosahedron 20 20
summit is to vertex method
With reference to figure 7A-7C, summit is formed to vertex method is inlayed to cover two territories on the surface of golf 10.This territory limits as follows:
1. selective rule polyhedron (Fig. 7 A-7C uses icosahedron);
2. the polyhedral single face 16 of selective rule, as shown in Figure 7 A;
3. the first summit V in face 16 1with contiguous first summit V 1the second summit V 2connected by segmentation 18;
4. segmentation 18 forms pattern around the center C in face 16, to form the first territory 14a, as shown in Figure 7 B;
5. segmentation 18 and summit V 1and V 2between edge limited element 22; And
6. element 22 is around edge E 1mid point M 1rotate to create the second territory 14b.
When the first territory 14a and the second territory 14b is inlayed to cover golf 10 surperficial, as seen in figure 7 c, according to as control point V 1and V 2basis select regular polyhedron, will overall territory 14a and 14b of varying number be obtained.To be used for covering the first territory 14a on surface of golf 10 and the quantity of the second territory 14b be the quantity of the first territory 14a is P f, and the quantity of the second territory 14b is P f* P e/ 2, as shown in form 7 below.
Form 7
On use summit to the territory using specific polyhedron to obtain during vertex method
Polyhedron type Face P FQuantity The quantity of the first territory 14a The edge P of each EQuantity The quantity of the second territory 14b
Tetrahedron 4 4 3 6
Cube 6 6 4 12
Octahedra 8 8 3 12
Dodecahedron 12 12 5 30
Icosahedron 20 20 3 30
Although describe six kinds of methods utilize two control points before, also irregular territory can be created based on more than two control points.Such as, three or even more control points can be used.Additional control point is used to be allowed for the possible difformity in irregular territory.The illustrative methods using mid point M, center C and summit V as the control point of three for creating an irregular territory is described below.
mid point is to center to vertex method
With reference to figure 8A-8E, mid point is formed to center to vertex method is inlayed to cover a territory on the surface of golf 10.This territory limits as follows:
1. selective rule polyhedron (Fig. 8 A-8E uses icosahedron);
2. the polyhedral single face 16 of selective rule, as shown in Figure 8 A;
3. the edge E in face 16 1on mid point M 1, the center C in face 16 and edge E 1on summit V 1connected by segmentation 18, and segmentation 18 and edge E 1at mid point M 1with summit V 1between part limit the first element 22a, as shown in Figure 8 A;
4. copying of segmentation 18 20 is rotated around center C, makes to copy 20 by center and neighboring edge E 1edge E 2on mid point M 2connect, and by center C with at edge E 1and E 2the summit V of cross part 2connect, and segmentation 18 is at mid point M 1and part between the C of center, copy 20 at summit V 2and part between the C of center and edge E 1at mid point M 1with summit V 2between part limit the second element 22b, as shown in Figure 8 B;
5. the first element 22a and the second element 22b is around edge E 1mid point M 1rotate, as shown in Figure 8 C, to limit two territories 14, wherein individual domain 14 is only by segmentation 18 with copy the part of 20 and the rotation 18 ' of segmentation 18 is defined, as in fig. 8d.
When being inlayed to cover golf 10 surperficial in territory 14, as illustrated in fig. 8e, according to the regular polyhedron selected as the basis for control point M, C and V, the overall territory 14 of varying number will be obtained.Being used for the quantity in territory 14 on the surface covering golf 10 equals polyhedral selected P fquantity be multiplied by the edge P of polyhedral each equantity, as shown in form 8 below.
Form 8
In use Dian Dao center is to the territory using specific polyhedron to obtain during the method on summit
Polyhedron type Face P FQuantity Edge P EQuantity The quantity in territory 14
Tetrahedron 4 3 12
Cube 6 4 24
Octahedra 8 3 24
Dodecahedron 12 5 60
Icosahedron 20 3 60
Although the method described provides use center C, summit V and mid point M as the framework at unique control point before, also other control points can be used.Such as control point can be any some P on the edge E of selected face of a polyhedron.When using this control point, the territory of other type can be produced, although the mechanism for creating irregular territory can be different.Point P on use center C and edge is described below to create a kind of illustrative methods of irregular territory like this.
center is to edge method
With reference to figure 9A-9E, center is formed to edge method is inlayed to cover a territory on the surface of golf 10.This territory limits as follows:
1. selective rule polyhedron (Fig. 9 A-9E uses icosahedron);
2. the polyhedral single face 16 of selective rule, as shown in Figure 9 A;
3. the center and peripheral E in face 16 1on some P 1connected by segmentation 18;
4. copying of segmentation 18 20 is rotated around center C, makes to copy 20 by center C and neighboring edge E 1edge E 2on some P 2connect, its mid point P 2relative to edge E 2with a P 1relative to edge E 1locate in the same manner, make two segmentations 18 and 20 and edge E 1and E 2respectively at a P 1and P 2between part and connect edge E 1and E 2summit V limit element 22, as shown in Figure 9 B, and
5. element 22 is around edge E 1mid point M 1or edge E 2mid point M 2rotate, this mid point is all positioned in element 22, as shown in Fig. 9 B-9C, to create territory 14, as shown in fig. 9d.
When being inlayed to cover golf 10 surperficial in territory 14, as shown in fig. 9e, according to as control point C and P 1basis select regular polyhedron, will the overall territory 14 of varying number be obtained.Being used for the quantity in territory 14 on the surface covering golf 10 equals polyhedral selected P fquantity be multiplied by the edge P of polyhedral each equantity divided by 2, as shown in form 9 below.
Form 9
In use the heart is to the territory using specific polyhedron to obtain during edge method
Polyhedron type Face P FQuantity Edge P EQuantity The quantity in territory 14
Tetrahedron 4 3 6
Cube 6 4 12
Octahedra 8 3 12
Dodecahedron 12 5 30
Icosahedron 20 3 30
Although the often kind of method described illustrates with reference to regular polyhedron before, they also can be used for some irregular polyhedronses, such as Archimedes's entity, Taka blue three-dimensional (Catalanta Solids) etc.The method being used for deriving irregular territory will need some modification usually, to consider the shape of irregular of irregular entity.Illustrative methods for Taka blue three-dimensional (such as granatohedron) is described below.
for the summit of granatohedron to vertex method
With reference to figure 10A-10E, a territory on the surface of golf 10 is inlayed to cover to vertex method formation in the summit based on granatohedron.This territory limits as follows:
1. select the single face 16 of granatohedron, as shown in Figure 10 A;
2. the first summit V in face 16 1with contiguous first summit V 1the second summit V 2connected by segmentation 18, as shown in Figure 10 B;
3. first of segmentation 18 copy 20 around summit V 2, rotate, make the summit V of its joint face 16 2with summit V 3, second of segmentation 18 copies 24 and rotates around center C, makes the summit V of its joint face 3with summit V 4, the 3rd of segmentation 18 copies 26 around summit V 1rotate, make its connect Vertex V 1with summit V 4, as illustrated in figure 10 c, with formative region 14, as shown in Figure 10 D;
When being inlayed to cover golf 10 surperficial in territory 14, as shown in figure 10e, 12 territories will be used for covering the surface of golf 10, be respectively used to each of granatohedron.
for the summit of dipyramid to edge method
With reference to figure 14A-14H, summit is formed to edge method is inlayed to cover a territory on the surface of golf 10.This territory limits as follows:
1. the n face dipyramid total quantity with face being equaled 2n is projected in as the vertical line that n same intervals is opened on spheroid, and this vertical line extends from pole to pole, by limiting the line segmentation in the equator in the Northern Hemisphere and the Southern Hemisphere.In Figure 14 A-14H, n=6.As shown in Figure 14 A, the V place, summit that each face 16 of dipyramid has at one end is connected and two the lateral edges S connected by base edge E at the other end 1and S 2.
2. as shown in Figure 14B, select the single face 16 of dipyramid, and the summit V in face 16 is connected to the some P on the base edge E in face 16 by segmentation 18.
3. in the mode forming irregular territory 14, pattern is formed to segmentation 18.
A. in the embodiment shown in Figure 14 C, irregular territory 14 is formed around base edge E mirror image by making segmentation 18, copy 18a with what limit segmentation 18, and rotate segmentation 18 around axis summit V being connected to spheroid initial point and copy 18a, copy 18b and 18c to limit.Rotational angle equals 360/n.In Figure 14 C, each section in territory is denoted as 14.
B. in the embodiment shown in Figure 14 D, irregular territory 14 forms the pattern of 180 degree to segmentation 18 by the axis at the center around tie point P and spheroid, copy 18a to limit, and rotate segmentation 18 around the axis of initial point summit V being connected to spheroid and copy 18a and copy 18b and 18c to limit.Rotational angle equals 360/n.In Figure 14 D, each section in territory is denoted as 14.
By around central axis for formation pattern n time, irregular territory 14 by the surface of inlaying with ball covering on soil, as shown in Figure 14 C and 14D.
On the summit for n face dipyramid in the particular embodiment of edge method, dipyramid has the face of even number, and segmentation 18 forms a part for the true or virtual parting line of golf 10.Therefore, segmentation 18 and each true and multiple virtual parting line copying formation ball formed by above step 3 thereof, the quantity of virtual parting line equals (n/2)-1, and n >=4, or >=6, or >6.
After any described method of use forms irregular territory, indenture can be filled for formation golf 10 in territory.In Figure 11 E-11G, the first territory and the second territory use mid point to be formed to midpoint method based on octahedron.Figure 11 E shows a part of filling pitted first territory 14a and the second territory 14b, and wherein the indenture of the first territory 14a is indicated by alphabetical a.Figure 11 F shows a part of filling pitted second territory 14b and the first territory 14a, and wherein the indenture of the second territory 14b is indicated by alphabetical b.Figure 11 G shows and is filled with indenture and is inlayed to cover the first territory 14a on the surface of golf 10 and the second territory 14b.In Figure 12 E-12G, the first territory and the second territory use mid point to be formed to midpoint method based on icosahedron.Figure 12 E shows the first territory 14a and the second territory 14b that fill indenture, and wherein the indenture of the first territory 14a is indicated by alphabetical a.Figure 12 F shows and fills pitted second territory 14b and the first territory 14a, and wherein the indenture of the second territory 14b is indicated by alphabetical b.Figure 12 G shows and is filled with indenture and is inlayed to cover the first territory and second territory on the surface of golf 10.In Figure 13 E-13G, the first territory and the second territory use mid point to be formed to midpoint method based on cube.Figure 13 E shows and fills pitted first territory 14a and the second territory 14b.Figure 13 F shows and fills pitted second territory 14b and the first territory 14a.Figure 13 G shows and is filled with indenture and is inlayed to cover the first territory and second territory on the surface of golf 10.Figure 14 C-14H shows the territory using summit to create to edge method based on six dipyramids.Figure 14 E shows the territory of filling pitted Figure 14 C.Figure 14 F shows the territory of filling pitted Figure 14 D.Figure 14 G shows and is filled with indenture and forms pattern six times to cover the territory of Figure 14 C on the surface of golf 10 around central axis.Figure 14 H shows and is filled with indenture and forms pattern six times to cover the territory of Figure 14 D on the surface of golf 10 around central axis.In particular implementation of the present utility model, the patterns of indentations on the Northern Hemisphere is the mirror image of the patterns of indentations on the Southern Hemisphere, as shown in Figure 14 E and 14G.
In one embodiment, how to fill indenture not limit.In another embodiment, indenture is to make not having indenture to fill with the mode that line segmentation intersects.
Do not limit for by the indenture shape or profile selecting region filling.Although the utility model comprises comprise circular indenture in one embodiment, can use and there is any indenture or protuberance (stirrup) of wishing feature and/or performance.Such as, in one embodiment, indenture can have various shape and size, comprises different depth and girth.Particularly, indenture can be recessed hemispherical, or they can be triangle, square, hexagon, catenary, polygon or other shapes known to persons of ordinary skill in the art.They also can have straight line, bending or sloping edge or sidepiece.Generally speaking, the indenture of any type known to persons of ordinary skill in the art or protuberance (stirrup) can be used for the utility model.Indenture can all load in each territory, as shown in Figure 1A, 1D, 11E-11G, 12E-12G, 13E-13G, 14E-14H, or indenture can be shared between one or more territory, as shown in Fig. 3 C-3D, as long as the indenture layout be arranged on each independent territory is consistent with all copying in the territory on the surface of specific golf.Alternatively, inlay can create cover more than about 60%, be preferably greater than patterns of indentations that is about 70%, golf ball surface more preferably greater than about 80%.
In other embodiments, indenture can not be filled in territory, and the border in irregular territory can comprise convex ridge or passage.In the golf with this irregular territory, one or more territory or many group territories preferably overlapping, to increase the surface coverage of passage.Alternatively, the border in irregular territory can comprise convex ridge or passage, and territory is filled with indenture.
When forming pattern on golf ball surface in territory, guarantee that the golf that obtains have senior symmetry by its shape and polyhedron is determined the layout in territory below, equal or exceed 12.The symmetric grade of the golf that all methods of the present utility model are formed by depend on irregular territory based on rule or irregular polygon.Symmetric grade and the type of the golf formed based on five regular polyhedrons are listed in form 10.
Form 10
As the symmetry of the utility model golf of polyhedral function
Polyhedron type Symmetry class Symmetry orders
Tetrahedron Chirality tetrahedral symmetry 12
Cube Chirality is octahedra symmetrical 24
Octahedra Chirality is octahedra symmetrical 24
Dodecahedron Chirality icosahedral symmetry 60
Icosahedron Chirality icosahedral symmetry 60
This senior symmetry has many advantages, comprises the distribution of more consistent indenture, possible higher charging efficiency and cover the Improving Measurements of parting line of ball.In addition, due to higher symmetrical degree, the patterns of indentations formed in this way can have flight stability and the symmetry of improvement.
In other embodiments, the surface of the incomplete ball covering on soil in irregular territory, and between the territory maybe can cannot filling indenture, there is open space.Asymmetry is attached in ball by this permission.
Patterns of indentations of the present utility model is specially adapted to fill indenture on seamless golf.Seamless golf and manufacture method thereof such as in U.S. Patent No. 6,849,007 and 7,422, open further in 529, the full disclosure content of this patent is incorporated herein by reference.
When providing numerical lower limits and numerical upper limits here, be susceptible to any combination that can use these numerical value.
All patents, open source literature, test process and other bibliography (comprising priority document) quoted here combine by reference completely, and its degree is these open source literatures and the utility model and allows all law regulations of this combination compatible.
Although particularly describe illustrative embodiments of the present utility model, will appreciate that those of ordinary skill in the art will understand and easily carry out many other modification of group, and do not depart from spirit and scope of the present utility model.Therefore, do not intend the limit of claims in example given here and description, but think that claim comprises all features of the patent novelty that the utility model has, comprise all features that those of ordinary skill in the art treat as equivalent.

Claims (9)

1. a golf, it has outer surface, this outer surface comprises multiple indentures of the multiple replication form layouts covering the territory of outer surface with uniform pattern, and wherein said territory is limited by the non-rectilinear face extended from pole to pole, and wherein said territory is symmetrical about the center in territory.
2. golf according to claim 1, wherein, the outer surface of golf comprises 342 indentures.
3. golf according to claim 1, wherein, the outer surface of golf comprises 328 indentures.
4. golf according to claim 1, wherein, golf has the plane parting line along equator.
5. golf according to claim 1, wherein, golf has the on-plane surface parting line limited by the part on the border in irregular territory.
6. a golf, it has outer surface, this outer surface comprises a true parting line, multiple virtual parting line and multiple indenture, described indenture is arranged with the patterns of indentations limited by inlaying irregular territory, to cover this outer surface with uniform pattern, irregular territory is defined by the segmentation that produced to edge by summit and multiple copying thereof according to multiaspect dipyramid.
7. golf according to claim 6, wherein, described dipyramid is projected on spheroid as the vertical line that the multiple same intervals from pole to pole are opened, described vertical line is split by the line around equator, to limit the Northern Hemisphere and the Southern Hemisphere, the patterns of indentations wherein on the Northern Hemisphere is the mirror image of the patterns of indentations on the Southern Hemisphere.
8. golf according to claim 6, wherein, the outer surface of golf comprises 342 indentures.
9. golf according to claim 6, wherein, the outer surface of golf comprises 328 indentures.
CN201320723805.XU 2012-11-13 2013-11-13 Golf Expired - Lifetime CN204411621U (en)

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US9504877B2 (en) * 2008-10-31 2016-11-29 Achushnet Company Dimple patterns for golf balls
US8029388B2 (en) * 2008-10-31 2011-10-04 Acushnet Company Dimple patterns for golf balls
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