CN103310709A - Spherical display screen and manufacturing method thereof - Google Patents
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Abstract
The invention discloses a spherical display screen and a manufacturing method thereof. The method comprises the following steps: according to the Euler's formula in space, obtaining 12 pentagons and 20 hexagons which can form a 32-face body inscribed in a spherical surface; then causing one points on the spherical surfaces corresponding to the pentagons and the hexagons to be connected with the end points of corresponding pentagons and hexagons to form pentagonal pyramids and hexagonal pyramids; according to the side faces of the pentagonal pyramids and the hexagonal pyramids, manufacturing pentagonal display modules and hexagonal display modules; finally assembling 12 pentagonal display modules and 20 hexagonal display modules into a spherical screen similar with a sphere. Therefore, when the display modules are designed, at most 32 display modules are designed, the product-design period is greatly shortened, and a lot of design labor resources are reduced. In the spherical display screen manufactured with the method, glowing pixel points can be uniformly arranged on each triangular side face of the pentagonal display modules and the hexagonal display modules. The spherical display screen has the advantages of simple structure, good pictures of displayed images and small distortion.
Description
Technical field
The present invention relates to the display screen field, relate in particular to a kind of spherical display screen and preparation method thereof.
Background technology
Ball is the solid that a surface does not have corner angle, so spherical surface is a kind of special curved surface, also can not launch in the plane.The current sphere sharpness screen of doing normally adopts trapezoidal module mode, do a structural framing that the surface is spherical, do the trapezoidal illuminating module of a series of difformity specifications again, with trapezoidal module assembly unit on spherical surface of these different sizes, formed the display screen of an approximate spheroid by these polyhedrons.
Trapezoidal module is done in the method for spherical display screen, and the arrangement of pixel is arranged by level or vertical direction on the module, does pixel from the equatorial line of spherical diameter maximum to two extreme directions and takes out a processing, finishes pixel to the covering of sphere.This mode can be made the spherical display screen of high density high resolving power, just forms approximate sphere but its shortcoming is trapezoidal module assembly unit.Pixel on the module is arranged and is pressed the warp and weft arrangement, is not to launch according to sphere, and the spherical pixels of display screen of composition is uneven distribution at sphere, and pixel is taken out a processes and displays picture, the picture distortion can occur, and whole display effect reduces greatly.
Trapezoidal module mode generally is the module that is divided into some approximate trapezoid by the sphere warp and weft, the used module of each latitude is different with the used module of other latitude, so just need be according to the difference of sphere diameter, the module that is divided into some different latitude, whole spheroid will design a variety of modules, and sphere diameter is more big, and the trapezoidal module specification that is divided into is more many, make that the product design cycle is long, expend a large amount of designer's power.
Summary of the invention
The invention provides the method for making that a kind of design cycle is short, have only the spherical display screen of two kinds of shapes demonstration modules.
To achieve these goals, technical solution scheme of the present invention is: a kind of method for making of spherical display screen comprises step: S1, obtain an icosidodecahedron of being made up of the hexagon that is connected to described sphere in the pentagon that is connected to sphere in 12 and 20 with 60 summits, 90 ribs according to the Euler's formula in the space; S2, will be corresponding to a bit being connected to form the pentagonal pyramid body with pentagonal end points respectively on the pentagonal sphere, and make five ribs according to the side of this pentagonal pyramid body and show module; Will be corresponding to a bit being connected to form the hexagonal pyramid body with hexagonal end points respectively on hexagonal sphere, and make six ribs according to the side of this hexagonal pyramid body and show module; S3,12 described five ribs of use show that modules and 20 six ribs show that modules are assembled into the spherical display screen that is similar to sphere.
Wherein, 12 described pentagons are measure-alike regular pentagon, and 20 described hexagons are measure-alike regular hexagon.
Wherein, described regular pentagon is corresponding on the sphere a bit being the projected centroids of central point broadside directive to the sphere of regular pentagon; Described regular hexagon is corresponding to the projected centroids that a bit is orthohexagonal central point broadside directive to the sphere on the sphere.
Wherein, described five ribs show that the method for making of module is, the first isosceles triangle demonstration module corresponding with it according to an isosceles triangle side making of positive pentagonal pyramid body uses five first isosceles triangles to show that modules are assembled into five ribs and show module; Described six ribs show that the method for making of module is, the second isosceles triangle demonstration module corresponding with it according to an isosceles triangle side making of positive hexagonal pyramid body uses six second isosceles triangles to show that modules are assembled into six ribs and show module.
Wherein, the radius of described sphere is R, and the angle of the corresponding centre of sphere in described orthohexagonal every limit is α=23.2814 °, then hexagonal length of side L1=2*R*sin α/2; The angle of the corresponding centre of sphere of the line of orthohexagonal end points and orthohexagonal barycenter is β=23.8002 °, and then the wire length of orthohexagonal end points and orthohexagonal barycenter is L2=2*R*sin β/2; The angle of the corresponding centre of sphere of the line of the end points of regular pentagon and the barycenter of regular pentagon is γ=20.077 °, and then the wire length of the barycenter of the end points of regular pentagon and regular pentagon is L3=2*R*sin γ/2.
The present invention also provides a kind of spherical display screen, it comprises that 12 five ribs show that module and 20 six ribs show module, and 12 five ribs show that module and 20 six ribs show that adaptive being assembled into of module is connected to the described spherical display screen of same spheroid sphere in one.
Wherein, described five ribs show that the bottom surface of module is regular pentagon, and 12 five ribs show that the module specification is all identical; Described six ribs show that the bottom surface of module is regular hexagon, and 20 six ribs show that the module specification is all identical.
Wherein, described five ribs demonstration module is made up of five first isosceles triangles demonstration modules, and described six ribs demonstration module is made up of six second isosceles triangles demonstration modules.
Wherein, described first isosceles triangle shows that module comprises the first isosceles triangle substrate and light emitting pixel point, light emitting pixel o'clock arranges the similar triangles that form the first isosceles triangle substrate along three limits of the first isosceles triangle substrate, and successively draws in to the center of the first isosceles triangle substrate; Described second isosceles triangle shows that module comprises the second isosceles triangle substrate and light emitting pixel point, light emitting pixel o'clock arranges the similar triangles that form the second isosceles triangle substrate along three limits of the second isosceles triangle substrate, and successively draws in to the center of the second isosceles triangle substrate.
Wherein, the radius of the external sphere of described spherical display screen is R, and then, first isosceles triangle shows that the waist of module is long and be L3=2*R*sin γ/2, wherein γ=20.077 °; Second isosceles triangle shows that the waist of module is long and is L2=2*R*sin β/2, wherein β=23.8002 °; Second isosceles triangle shows that the bottom side length of module is L1=2*R*sin α/2, wherein α=23.2814 °.
Beneficial effect of the present invention is: the trapezoidal module that is different from prior art is done the method for spherical display screen, trapezoidal module specification is many, the product design cycle is long, expend a large amount of designer's power, the method for making of spherical display screen of the present invention, according to the Euler's formula in the space, obtain 12 pentagons and 20 hexagons can be formed 32 bodies that are connected to sphere in, then a bit be connected corresponding pentagon and hexagonal end points on the sphere of pentagon and hexagon correspondence are formed pentagonal pyramid body and hexagonal pyramid body, side according to pentagonal pyramid body and hexagonal pyramid body makes five ribs demonstration module and six ribs demonstration module again, at last 12 five ribs are shown that module and 20 six ribs show that module is assembled into approximate with a spherical sphere screen, like this when design shows module, 32 of designs show that module gets final product at most, reduce the product design cycle greatly and reduce a large amount of design manpowers; And the spherical display screen that uses said method to make, can on each triangle side of five ribs demonstration module and six ribs demonstration module, the light emitting pixel point be set evenly, the of the present invention spherical display screen structure that makes is simple, shows that image effect is good, and the picture distortion is little.
Description of drawings
Fig. 1 is the structural representation of spherical display screen of the present invention;
Fig. 2 is the structure principle chart synoptic diagram of spherical display screen of the present invention;
Fig. 3 is that first isosceles triangle shows that module and/or second isosceles triangle show the synoptic diagram of module in one embodiment of the invention.
Among the figure: 1, first isosceles triangle shows module; 2, second isosceles triangle shows module; 3, triangle substrate; 4, light emitting pixel point.
Embodiment
By describing technology contents of the present invention, structural attitude in detail, realized purpose and effect, give explanation below in conjunction with embodiment and conjunction with figs. are detailed.
See also Fig. 1 to Fig. 3, the method for making of a kind of spherical display screen of present embodiment comprises step:
S1, obtain an icosidodecahedron of being formed by the regular hexagon that is connected to described sphere in the regular pentagon that is connected to sphere in 12 and 20 with 60 summits, 90 ribs according to the Euler's formula in the space; Wherein, concrete algorithm is,
Be respectively x if establish pentagonal quantity, hexagonal quantity, polyhedral number, polyhedral number of vertex, polyhedral rib number, y, F, V, E,
Then have: x+y=F, 5x=3y, 3V=2E, V=5x,
Euler's formula F+V-E=2 in the substitution space,, X=12, y=20, F=32, V=60, E=90;
S2, will be corresponding to a bit being connected to form the pentagonal pyramid body with pentagonal end points respectively on the pentagonal sphere, and make five ribs according to the side of this pentagonal pyramid body and show module; Will be corresponding to a bit being connected to form the hexagonal pyramid body with hexagonal end points respectively on hexagonal sphere, and make six ribs according to the side of this hexagonal pyramid body and show module;
S3,12 described five ribs of use show that modules and 20 six ribs show that modules are assembled into the spherical display screen that is similar to sphere.
The method for making of spherical display screen of the present invention, according to the Euler's formula in the space, obtain 12 pentagons and 20 hexagons can be formed 32 bodies that are connected to sphere in, then a bit be connected corresponding pentagon and hexagonal end points on the sphere of pentagon and hexagon correspondence are formed pentagonal pyramid body and hexagonal pyramid body, side according to pentagonal pyramid body and hexagonal pyramid body makes five ribs demonstration module and six ribs demonstration module again, at last 12 five ribs are shown that module and 20 six ribs show that module is assembled into approximate with a spherical sphere screen, like this when design shows module, 32 of designs show that module gets final product at most, reduce the product design cycle greatly and reduce a large amount of design manpowers;
In one embodiment, 12 described pentagons are measure-alike regular pentagon, 20 described hexagons are measure-alike regular hexagon, and described regular pentagon is corresponding on the sphere a bit being the projected centroids of central point broadside directive to the sphere of regular pentagon; Described regular hexagon is corresponding to the projected centroids that a bit is orthohexagonal central point broadside directive to the sphere on the sphere, like this, confirmablely be, the present invention has only related to the demonstration module of two kinds of specifications, is respectively 12 five identical ribs of specification and shows that module shows module with 20 six identical ribs of specification.When making the demonstration module, only making two kinds similarly is that module is just passable like this, bigger minimizing product design cycle and a large amount of design manpower of minimizing.
Further, five ribs show that the method for making of module is, an isosceles triangle side according to positive pentagonal pyramid body makes the first isosceles triangle demonstration module 1 corresponding with it, uses five first isosceles triangles to show that modules 1 are assembled into five ribs and show module; Six ribs show that the method for making of module is, an isosceles triangle side according to positive hexagonal pyramid body makes the second isosceles triangle demonstration module 2 corresponding with it, use six second isosceles triangles to show that module 2 is assembled into six ribs and shows module, show that module is just passable as long as make the triangle of two kinds of different sizes like this, triangle shows that the module making is convenient for production fast, improve the production efficiency of spherical display screen of the present invention, and it is convenient to show that at triangle module arranges light emitting pixel point, can arrange uniformly, it is littler to improve display frame effect degree of distortion of the present invention.
In the present embodiment, as shown in Figure 2, the radius of described sphere is R, i.e. PNT3PNT4=R, and the angle of the corresponding centre of sphere in described orthohexagonal every limit is ∠ PNT4PNT3PNT5=α=23.2814 °, then hexagonal length of side PNT4PNT5=L1=2*R*sin α/2; The angle of the corresponding centre of sphere of the line PNT2PNT4 of orthohexagonal end points and orthohexagonal barycenter is ∠ PNT2PNT3PNT4=β=23.8002 °, and then the wire length of orthohexagonal end points and orthohexagonal barycenter is PNT2PNT4=L2=2*R*sin β/2; The angle of the corresponding centre of sphere of the line PNT1PNT4 of the end points of regular pentagon and the barycenter of regular pentagon is ∠ PNT1PNT3PNT4=γ=20.077 °, then the wire length of the barycenter of the end points of regular pentagon and regular pentagon is PNT1PNT4=L3=2*R*sin γ/2, as long as according to this ratio and angle, can produce the different spherical display screen of various sizes, and the spherical display screen that uses this data creating to go out, can be more close to sphere.
The present invention also provides a kind of spherical display screen of making according to said method, it comprises that 12 five ribs show that module and 20 six ribs show module, and 12 five ribs show that module and 20 six ribs show that adaptive being assembled into of module is connected to the described spherical display screen of same spheroid sphere in one.Can on each triangle side of five ribs demonstration module and six ribs demonstration module the light emitting pixel point be set evenly, the present invention who makes is simple in structure, and spherical display screen has the little characteristics of the image frame distortion of demonstration.
In the present embodiment, described five ribs show that the bottom surface of module is regular pentagon, and 12 five ribs show that the module size is all identical; Described six ribs show that the bottom surface of module is regular hexagon, and 20 six ribs demonstration module sizes are all identical, can obtain spherical display screen of the present invention like this, more are similar to ball, and display effect is better.
In the present embodiment, described five ribs demonstration module is made up of five first isosceles triangles demonstration modules 1, and described six ribs demonstration module is made up of six second isosceles triangles demonstration modules 2, and such design can make things convenient for production the present invention, enhances productivity.
In the present embodiment, described first isosceles triangle shows that module 1 comprises the first isosceles triangle substrate and light emitting pixel point 4, light emitting pixel point 4 arranges the similar triangles that form the first isosceles triangle substrate along three limits of the first isosceles triangle substrate, and successively draws in to the center of the first isosceles triangle substrate; Described second isosceles triangle shows that module 2 comprises the second isosceles triangle substrate and light emitting pixel point 4, light emitting pixel point 4 arranges the similar triangles that form the second isosceles triangle substrate along three limits of the second isosceles triangle substrate, and successively draw in to the center of the second isosceles triangle substrate, the light emitting pixel point 4 of such layout is more even, make that resolution and the fidelity of spherical display screen of the present invention are higher, as shown in Figure 3, the light emitting pixel point 4 that arranges on the triangle substrate 3, evenly, regular strong, the described triangle substrate 3 general reference first isosceles triangle substrate and the second isosceles triangle substrates, the light emitting pixel point is generally LED lamp pearl.
In the present embodiment, the radius of the external sphere of described spherical display screen is R, and then, first isosceles triangle shows that the waist of module is long and be L3=2*R*sin γ/2, wherein γ=20.077 °; Second isosceles triangle shows that the waist of module is long and is L2=2*R*sin β/2, wherein β=23.8002 °; Second isosceles triangle shows that the bottom side length of module is L1=2*R*sin α/2, wherein α=23.2814 °.As long as according to this ratio and angle, can produce the different spherical display screen of various sizes, and the spherical display screen that uses this data creating to go out, can be more close to sphere.
In the present embodiment, described first isosceles triangle demonstration module and second isosceles triangle show that the inboard on each bar limit of module is provided with installation sheet, are used for the first adjacent isosceles triangle and show that module and/or second isosceles triangle show that module shows fixing between the screen.
The above only is embodiments of the invention; be not so limit claim of the present invention; every equivalent structure or equivalent flow process conversion that utilizes instructions of the present invention and accompanying drawing content to do; or directly or indirectly be used in other relevant technical fields, all in like manner be included in the scope of patent protection of the present invention.
Claims (10)
1. the method for making of a spherical display screen is characterized in that, comprises step:
S1, obtain an icosidodecahedron of being formed by the hexagon that is connected to described sphere in the pentagon that is connected to sphere in 12 and 20 with 60 summits, 90 ribs according to the Euler's formula in the space;
S2, will be corresponding to a bit being connected to form the pentagonal pyramid body with pentagonal end points respectively on the pentagonal sphere, and make five ribs according to the side of this pentagonal pyramid body and show module;
Will be corresponding to a bit being connected to form the hexagonal pyramid body with hexagonal end points respectively on hexagonal sphere, and make six ribs according to the side of this hexagonal pyramid body and show module;
S3,12 described five ribs of use show that modules and 20 six ribs show that modules are assembled into the spherical display screen that is similar to sphere.
2. the method for making of spherical display screen according to claim 1 is characterized in that, 12 described pentagons are measure-alike regular pentagon, and 20 described hexagons are measure-alike regular hexagon.
3. the method for making of spherical display screen according to claim 2 is characterized in that, described regular pentagon is corresponding on the sphere a bit being the projected centroids of central point broadside directive to the sphere of regular pentagon; Described regular hexagon is corresponding to the projected centroids that a bit is orthohexagonal central point broadside directive to the sphere on the sphere.
4. the method for making of spherical display screen according to claim 3, it is characterized in that, described five ribs show that the method for making of module is, an isosceles triangle side according to positive pentagonal pyramid body makes the first isosceles triangle demonstration module corresponding with it, uses five first isosceles triangles to show that modules are assembled into five ribs and show module;
Described six ribs show that the method for making of module is, the second isosceles triangle demonstration module corresponding with it according to an isosceles triangle side making of positive hexagonal pyramid body uses six second isosceles triangles to show that modules are assembled into six ribs and show module.
5. the method for making of spherical display screen according to claim 4 is characterized in that, the radius of described sphere is R, and the angle of the corresponding centre of sphere in described orthohexagonal every limit is α=23.2814 °, then hexagonal length of side L1=2*R*sin α/2;
The angle of the corresponding centre of sphere of the line of orthohexagonal end points and orthohexagonal barycenter is β=23.8002 °, and then the wire length of orthohexagonal end points and orthohexagonal barycenter is L2=2*R*sin β/2;
The angle of the corresponding centre of sphere of the line of the end points of regular pentagon and the barycenter of regular pentagon is γ=20.077 °, and then the wire length of the barycenter of the end points of regular pentagon and regular pentagon is L3=2*R*sin γ/2.
6. spherical display screen, it is characterized in that, it comprises that 12 five ribs show that module and 20 six ribs show module, and 12 five ribs show that module and 20 six ribs show that adaptive being assembled into of module is connected to the described spherical display screen of same spheroid sphere in one.
7. spherical display screen according to claim 6 is characterized in that, described five ribs show that the bottom surface of module is regular pentagon, and 12 five ribs show that the module size is all identical; Described six ribs show that the bottom surface of module is regular hexagon, and 20 six ribs show that the module size is all identical.
8. spherical display screen according to claim 7 is characterized in that, described five ribs demonstration module is made up of five first isosceles triangles demonstration modules, and described six ribs demonstration module is made up of six second isosceles triangles demonstration modules.
9. according to right 8 described spherical display screens, it is characterized in that, described first isosceles triangle shows that module comprises the first isosceles triangle substrate and light emitting pixel point, light emitting pixel o'clock arranges the similar triangles that form the first isosceles triangle substrate along three limits of the first isosceles triangle substrate, and successively draws in to the center of the first isosceles triangle substrate;
Described second isosceles triangle shows that module comprises the second isosceles triangle substrate and light emitting pixel point, light emitting pixel o'clock arranges the similar triangles that form the second isosceles triangle substrate along three limits of the second isosceles triangle substrate, and successively draws in to the center of the second isosceles triangle substrate.
10. spherical display screen according to claim 8 is characterized in that, the radius of the external sphere of described spherical display screen is R, then,
First isosceles triangle shows that the waist of module is long and is L3=2*R*sin γ/2, wherein γ=20.077 °;
Second isosceles triangle shows that the waist of module is long and is L2=2*R*sin β/2, wherein β=23.8002 °;
Second isosceles triangle shows that the bottom side length of module is L1=2*R*sin α/2, wherein α=23.2814 °.
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