as shown in fig1 and , a golf ball is generally designated 20 . the golf ball 20 may be a two - piece golf ball , a three - piece golf ball , or a greater multi - layer golf ball . the golf ball 20 may be wound or solid . the golf ball 20 is preferably constructed as set forth in u . s . pat . no . 6 , 117 , 024 , for a golf ball with a polyurethane cover , which pertinent parts are hereby incorporated by reference . additionally , the core of the golf ball 20 may be solid , hollow , or filled with a fluid , such as a gas or liquid , or have a metal mantle . the cover of the golf ball 20 may be any suitable material . a preferred cover for a three - piece golf ball is composed of a thermoset polyurethane material . alternatively , the cover may be composed of a thermoplastic polyurethane , ionomer blend , ionomer rubber blend , ionomer and thermoplastic polyurethane blend , or like materials . a preferred cover material for a two - piece golf ball is a blend of ionomers . those skilled in the pertinent art will recognize that other cover materials may be utilized without departing from the scope and spirit of the present invention . the golf ball 20 may have a finish of one or two basecoats and / or one or two top coats . the golf ball 20 preferably has an innersphere 21 ( fig6 ) with an innersphere surface 22 . the golf ball 20 also has an equator 24 ( shown by dashed line ) generally dividing the golf ball 20 into a first hemisphere 26 and a second hemisphere 28 . a first pole 30 is generally located ninety degrees along a longitudinal arc from the equator 24 in the first hemisphere 26 . a second pole 32 is generally located ninety degrees along a longitudinal arc from the equator 24 in the second hemisphere 28 . descending toward the surface 22 of the innersphere 21 are a plurality of lattice members 40 . in a preferred embodiment , the lattice members 40 are constructed from quintic bézier curves . however , those skilled in the pertinent art will recognize that the lattice members 40 may have other similar shapes . the lattice members 40 are connected together to form a lattice structure 42 on the golf ball 20 . the interconnected lattice members 40 form a plurality of polygons encompassing discrete areas of the surface 22 of the innersphere 21 . most of these discrete bounded areas 44 are preferably hexagonal - shaped bounded areas 44 a and 44 b , with a few pentagonal - shaped bounded areas 44 c . in the embodiment of fig1 and 2 , there are 332 polygons . in the preferred embodiment , each lattice member 40 is preferably connected to at least one other lattice member 40 . each lattice member 40 preferably connects to at least two other lattice members 40 at a vertex . most of the vertices are the congruence of three lattice members 40 , however , some vertices are the congruence of four lattice members 40 . the length of each lattice member 40 preferably ranges from 0 . 150 inch to 0 . 160 inch . the preferred embodiment of the present invention has reduced the land area of the surface of the golf ball 20 to almost zero , since preferably only a line of each of the plurality of lattice members 40 lies on a phantom outersphere 23 ( fig6 ) of the golf ball 20 , which preferably has a diameter of at least 1 . 68 inches . more specifically , the land area of a traditional golf ball is the area forming a sphere of at least 1 . 68 inches for usga and r & amp ; a conforming golf balls . this land area is traditionally minimized with dimples that are concave with respect to the spherical surface of the traditional golf ball , resulting in land area on the non - dimpled surface of the golf ball . the golf ball 20 of the present invention , however , has only a line extending along an apex 50 of each of the lattice members 40 that lies on and defines the outersphere 23 of the golf ball 20 . traditional golf balls were designed to have the dimples “ trip ” the boundary layer on the surface of a golf ball in flight to create a turbulent flow for greater lift and reduced drag . the golf ball 20 of the present invention has the lattice structure 42 to trip the boundary layer of air about the surface of the golf ball 20 in flight . as shown in fig6 , the outersphere 23 is shown by a dashed line . in the preferred embodiment , the apex 50 of each lattice member 40 lies on the outersphere 23 , and the outersphere represents a diameter of the golf ball of 1 . 68 inches . one difference between the golf ball 20 of the present invention and traditional , dimpled golf balls is that for the golf ball 20 of the present invention , a smaller portion of the golf ball is located at or near the outersphere 23 compared to a traditional golf ball . thus , for the golf ball 20 of the present invention , a sphere having a diameter slightly less than that of the outersphere 23 would contain a greater percent of the volume of the golf ball 20 compared to the same sphere for a traditional dimpled golf ball . as shown in fig7 , the height h t , of each of the plurality of lattice members 40 from the innersphere 21 to an apex 50 of the lattice member 40 will vary in order to have the golf ball 20 meet or exceed the 1 . 68 inches requirement . for example , if the diameter , d i ( as shown in fig6 ) of the innersphere 21 is 1 . 666 inches , then the distance h t in fig7 is preferably 0 . 007 inch , since the lattice member 40 on one side of the golf ball 20 is combined with a corresponding lattice member 40 on the opposing side of the golf ball 20 to reach the usga requirement of 1 . 68 inches for the diameter of a golf ball . in an alternative embodiment , the innersphere 21 has a diameter , d i , that is less than 1 . 666 inches and each of the plurality of lattice members 40 has a height , h t , that is greater than 0 . 007 inch . for example , in one alternative embodiment , the diameter d i , of the innersphere 21 is 1 . 662 while the height , h t , of each of the lattice members 40 is 0 . 009 inch , thereby resulting in an outersphere 23 with a diameter of 1 . 68 inches . in a preferred embodiment of the invention , the distance h t ranges from 0 . 005 inch to 0 . 010 inch . the width of each of the apices 50 is minimal , since each apex lies along an arc of a lattice member 40 . in theory , the width of each apex 50 should approach the width of a line . in practice , the width of each apex 50 of each lattice member 40 is determined by the precision of the mold utilized to produce the golf ball 20 . as shown in fig6 - 8 , each lattice member 40 is constructed using a radius r t , of an imaginary tube set within the innersphere 21 of the golf ball 20 . the very top portion of the imaginary tube extends beyond the surface 22 of the innersphere 21 . in a preferred embodiment the radius r t is approximately 0 . 048 inch . the apex 50 of the lattice member 40 preferably lies on the radius r t , of the imaginary tube . points 55 a and 55 b represent the inflection points of the lattice member 40 , and inflection points 55 a and 55 b both preferably lie on the radius r t , of the imaginary tube . at inflection points 55 a and 55 b , the surface contour of the lattice member preferably changes from concave to convex . points 57 and 57 a represent the beginning of the lattice member 40 , extending beyond the surface 22 of the innersphere 21 . the surface contour of the lattice member 40 is preferably concave between point 57 and inflection point 55 a , convex between inflection point 55 a and inflection point 55 b , and concave between inflection point 55 b and point 57 a . as shown in fig7 , a blend length l b is the distance from point 57 to apex 50 . table one provides preferred blend lengths for the lattice members 40 of a preferred embodiment . an entry angle α ea is the angle relative the tangent line at the inflection point 55 a and a tangent line through the apex 50 . in a preferred embodiment , the entry angle α ea is 14 . 8 degrees . table one blend tube bounded area number radius , r b blend length , l b height , h t pentagon , 44c 12 0 . 15 inch 0 . 075 inch 0 . 00795 inch hexagon , 44b 60 0 . 20 inch 0 . 090 inch 0 . 00945 inch hexagon , 44a 260 0 . 23 inch 0 . 100 inch 0 . 01045 inch each lattice member 40 preferably has a contour that has a first concave section 54 ( between point 57 and inflection point 55 a ), a convex section 56 ( between inflection point 55 a and inflection point 55 b ), and a second concave section 58 ( between inflection point 55 b and point 57 a ). in a preferred embodiment , each of the lattice members 40 has a continuous contour with a changing radius along the entire surface contour . the radius r t of each of the lattice members 40 is preferably in the range of 0 . 020 inch to 0 . 070 inch , more preferably 0 . 040 inch to 0 . 050 inch , and most preferably 0 . 048 inch . the inflection points 55 a and 55 b , which define the start and end of the convex section 56 , are defined by the radius r t . the curvature of the convex section 56 , however , is not necessarily determined by the radius r t . instead , one of ordinary skill in the art will appreciate that the convex section 56 may have any suitable curvature . as discussed above , the lattice members 40 are interconnected to form a plurality of polygons . the intersection of two lattice members 40 forms a crease , whose surface is then smoothed , or blended , using a blend radius r b . table one provides preferred blend radii for the lattice members 40 of the preferred embodiment . the blend radius r b is preferably in the range of 0 . 100 inch to 0 . 300 inch , more preferably 0 . 15 inch to 0 . 25 inch , and most preferably 0 . 23 inch for the majority of lattice members 40 . by way of example , in the hexagon - bounded area illustrated in fig3 and 4 , facets 70 and 80 are crease regions that have been blended using a blend radius r b . the continuous surface contour of the golf ball 20 allows for a smooth transition of air during the flight of the golf ball 20 . the air pressure acting on the golf ball 20 during its flight is driven by the contour of each lattice member 40 . some traditional dimples have a curvature discontinuity at their transition points . reducing the discontinuity of the contour reduces the discontinuity in the air pressure distribution during the flight of the golf ball 20 , which reduces the separation of the turbulent boundary layer that is created during the flight of the golf ball 20 . the surface contour each of the lattice members 40 is preferably based on a fifth degree bézier polynomial having the formula : p ( t )= 3 b i j n , i ( t ) 0 ≦ t ≧ 1 wherein p ( t ) are the parametric defining points for both the convex and concave portions of the cross section of the lattice member 40 , the bézier blending function is j n , i ( t )=( n i ) t i ( 1 − t ) n - i and n is equal to the degree of the defining bézier blending function , which for the present invention is preferably five . t is a parametric coordinate normal to the axis of revolution of the dimple . b i is the value of the ith vertex of defining the polygon , and i = n + 1 . a more detailed description of the bézier polynomial utilized in the present invention is set forth in mathematical elements for computer graphics , second edition , mcgraw - hill , inc ., david f . rogers and j . alan adams , pages 289 - 305 , which are hereby incorporated by reference . for the lattice members 40 , the equations defining the cross - sectional shape require the location of the points 57 and 57 a , the inflection points 55 a and 55 b , the apex 50 , the entry angle α ea , the radius of the golf ball r ball , the radius of the imaginary tube r t , the curvature at the apex 50 , and the tube height , h t . additionally , as shown in fig8 , tangent magnitude points also define the bridge curves . tangent magnitude point t 1 corresponds to the apex 50 ( convex curve ), and a preferred tangent magnitude value is 0 . 5 . tangent magnitude point t 2 corresponds to the inflection point 55 a ( convex curve ), and a preferred tangent magnitude value is 0 . 5 . tangent magnitude point t 3 corresponds to the inflection point 55 a ( concave curve ), and a preferred tangent magnitude value is 1 . tangent magnitude point t 4 corresponds to the point 57 ( concave curve ), and a preferred tangent magnitude value is 1 . this information allows for the surface contour of the lattice member 40 to be designed to be continuous throughout the lattice member 40 . in constructing the contour , two associative bridge curves are prepared as the basis of the contour . a first bridge curve is overlaid from the point 57 to the inflection point 55 a , which eliminates the step discontinuity in the curvature that results from having true arcs point continuous and tangent . the second bridge curve is overlaid from the inflection point 55 a to the apex 50 . the attachment of the bridge curves at the inflection point 55 a allows for equivalence of the curvature and controls the surface contour of the lattice member 40 . the dimensions of the curvature at the apex 50 also controls the surface contour of the lattice member . the shape of the contour may be refined using the parametric stiffness controls available at each of the bridge curves . the controls allow for the fine tuning of the shape of each of the lattice members by scaling tangent and curvature poles on each end of the bridge curves . an additional feature of the present invention is the multi - faceted hexagon - bounded area , as shown in fig3 and 4 . the hexagon - bounded area 44 a of the present invention has a greater number of facets than the hexagon - bounded area 44 ′ of the prior art ( fig5 ), which is the hx ® red golf ball and hx ® blue golf ball from callaway golf company of carlsbad , calif . the increase in facets is due to the blended regions at the intersection of lattice members . the hexagon - bounded area 44 a has inner facets 70 , 70 a and 72 , and outer facets 80 and 82 . in a preferred embodiment , hexagon - bounded area 44 a has twenty inner facets 70 , 70 a and 72 , and eighteen outer facets 80 and 82 . the hexagon - bounded area 44 ′ of the prior art had seven inner facets 170 and 172 ( innersphere surface ) and six outer facets . the greater number of facets in the hexagon bounded area 44 a of the present invention allows for better control of the surface contour , thereby resulting in better lift and drag properties , which results in greater distance . from the foregoing it is believed that those skilled in the pertinent art will recognize the meritorious advancement of this invention and will readily understand that while the present invention has been described in association with a preferred embodiment thereof , and other embodiments illustrated in the accompanying drawings , numerous changes , modifications and substitutions of equivalents may be made therein without departing from the spirit and scope of this invention which is intended to be unlimited by the foregoing except as may appear in the following appended claims . therefore , the embodiments of the invention in which an exclusive property or privilege is claimed are defined in the following appended claims .
a golf ball approaching zero land area is disclosed herein . the golf ball has an innersphere with a plurality of lattice members . each of the plurality of lattice members has an apex and the golf ball of the present invention conforms with the 1 . 68 inches requirement for usga - approved golf balls . the interconnected lattice members form a plurality of polygons , preferably hexagons and pentagons . each of the lattice members preferably has a continuous contour .