CN103876372A - Method for making perfect-circle flower-type ball - Google Patents

Method for making perfect-circle flower-type ball Download PDF

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Publication number
CN103876372A
CN103876372A CN201410047151.2A CN201410047151A CN103876372A CN 103876372 A CN103876372 A CN 103876372A CN 201410047151 A CN201410047151 A CN 201410047151A CN 103876372 A CN103876372 A CN 103876372A
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paper
square
assembly
triangle
line
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CN201410047151.2A
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CN103876372B (en
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李平
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Nanyang Institute of Technology
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李平
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Abstract

The invention relates to a making method of a paper utensil, in particular to a method for making a perfect-circle flower-type ball. The perfect-circle flower-type ball is formed by connecting 30 same components in an inserted manner, each component is formed by combining square paper 1 and square paper 2 which are identical in area, each square paper 1 and the corresponding square paper 2 are combined to be an overlapped square and form a three-dimensional shape with four folded triangles, each folded triangle comprises an inserting portion and an inserted portion inserted into an inserting port, five triangular sealing rings can be formed adjacently outside each pentagonal sealing ring through inserting connection, three pentagonal sealing rings can be connected outside each triangular sealing ring adjacently in an inserted manner, and the perfect-circle flower-type ball can be formed by connecting the 30 components in an inserted manner according to the above inserting-connection method. The components are simple to make and easy to realize inserting connection, the perfect-circle flower-type ball is ingenious in shape, stiff and smooth and attractive, and the flower-type ball is more firm due to locking functions of the inserting portions and the inserted portions.

Description

The preparation method of just round fancy ball
Technical field
The present invention relates to a kind of cubical preparation method, especially a kind of spherical cubical preparation method.
Background technology
At present, the many more complicated of known spherical cube, grafting operation is many, and it is more difficult to operate, and easily comes off and bothersome.
Summary of the invention
In order to overcome the many more complicated of existing spherical cube, grafting operation is many, and it is more difficult to operate, and easily comes off and bothersome deficiency, the invention provides a kind of preparation method of just round fancy ball.
The technical solution adopted for the present invention to solve the technical problems is: just round fancy ball is by assembly 1, assembly 2 ... totally 30 same components grafting of assembly 30 forms; Each assembly by the square of paper 1 of homalographic, square of paper 2 totally two square of paper combine;
Get square of paper 1, do two diagonal fold lines, intersect at square of paper 1 central point; By square of paper 1 central point, do two positive broken lines of the vertical line vertical with trimming, two positive broken lines of vertical line are mutually vertical;
Get square of paper 2, do two positive broken lines of diagonal, intersect at square of paper 2 central points; By square of paper 2 central points, do two vertical line fold lines vertical with trimming, two vertical line fold lines are mutually vertical;
Square of paper 2 is placed on square of paper 1, square of paper 1 central point overlaps as coincidence central point with square of paper 2 central points, diagonal fold line overlaps with vertical line fold line as coincidence fold line, and the positive broken line of vertical line overlaps with the positive broken line of diagonal as the positive broken line that overlaps; Outside square of paper 1 and square of paper 2 laps, be eight congruent isosceles triangles, wherein the isosceles triangle of four square of paper 1 is that the isosceles triangle of 1, four square of paper 2 of isosceles triangle is isosceles triangle 2; The base of isosceles triangle 1 intersects at isosceles triangle 1 base intersection point with the fold line that overlaps; Do isosceles triangle 2 base fold lines on the base of isosceles triangle 2;
According to isosceles triangle 2 base fold lines, isosceles triangle 2 is folded and is affixed, with the overlapping square of square of paper 1 congruence; In coincidence fold line, get the end points of coincidence fold line to i.e. 1/2 mid point in 1/2 place of the central point that overlaps; Two end points in isosceles triangle 2 base fold lines do short fold line respectively and between 1/2 nearest mid point; The base of isosceles triangle 1 and nearest two short fold lines form isosceles triangles 3; Between 1/2 mid point and isosceles triangle 1 base intersection point, do tangent line, isosceles triangle 3 is divided into two congruent isosceles triangles 4 by tangent line; Tangent line is the otch cutting;
According to short fold line, isosceles triangle 4 is folded in the interlayer between square of paper 1 and square of paper 2;
Folding according to overlap positive broken line and coincidence fold line, be formed with four folding leg-of-mutton solid figures; Folding leg-of-mutton short fold line is divided into double-deck miter angle, i.e. insertion portion to square of paper 1 paper bight; The short fold line on folding triangle two sides is the socket that is inserted into part, is inserted into socket; An assembly completes;
The insertion method of two assemblies; The folding sub-fraction of wedge angle of insertion portion, folded part is no longer than 1/3 of insertion portion length, folding direction be not with the one side that is inserted into socket and fits, by 2 one folding leg-of-mutton sockets that are inserted into of the insertion portion plug-in package of 1 one triangles of assembly, meanwhile, assembly 2 is inserted into same folding leg-of-mutton being inserted in socket of same folding leg-of-mutton insertion portion plug-in package 1 insertion portion of socket;
The short fold line of insertion portion overlaps with the short fold line that is inserted into jack part, and two assemblies complete grafting;
With same insertion method, a folding triangle of do not peg graft folding triangle and the assembly 3 of assembly 2 plugs, and another folding triangle of assembly 3 and a folding triangle of assembly 4 plug, and peg graft in this way, and assembly 4 plugs with assembly 5; Assembly 5 plugs with assembly 1, a pentagonal sealing ring;
Outside pentagon sealing ring, two plug the folding triangle of not pegging graft that assembly is adjacent and can peg graft into a triangle sealing ring with two folding triangles of another assembly;
Each pentagon sealing ring is outer can adjacent peg graft into five triangle sealing rings; Each triangle sealing ring is outer can three pentagon sealing rings of adjacent grafting; Peg graft in this way, 30 modular connector Cheng Zhengyuan fancy balls.
The invention has the beneficial effects as follows, establishment of component is simple, pegs graft easily; Exotic shape is well-pressed attractive in appearance; Insertion portion makes fancy ball more firm with the locking function that is inserted into part.
Accompanying drawing explanation
Below in conjunction with drawings and Examples, the present invention is further described.
Fig. 1 is square of paper 1 plane;
Fig. 2 is square of paper 2 planes;
Square of paper 2 is placed in plane on square of paper 1 by Fig. 3;
Fig. 4 is overlapping square-shaped planar figure;
Fig. 5 is the plane after isosceles triangle 4 is folded in the interlayer between square of paper 1 and square of paper 2;
Fig. 6 is assembly stereogram;
Fig. 7 is two modular connector schematic diagrames;
Fig. 8 is the stereogram after two modular connectors complete;
Fig. 9 is the stereogram that five modular connectors become pentagon sealing ring;
Figure 10 is the outer stereogram that forms a triangle sealing ring of pentagon sealing ring;
Figure 11 is just justifying fancy ball stereogram.
The specific embodiment
Just round fancy ball is by assembly 1, assembly 2 ... totally 30 same components grafting of assembly 30 forms; Each assembly by the square of paper 1 of homalographic, square of paper 2 totally two square of paper combine; Adopt the positive broken line that dots positive doubling, solid line adds the fold line that circle represents reverse side doubling;
Get square of paper 1, do two diagonal fold lines, intersect at square of paper 1 central point; By square of paper 1 central point, do two positive broken lines of the vertical line vertical with trimming, two positive broken lines of vertical line are mutually vertical; As Fig. 1;
Get square of paper 2, do two positive broken lines of diagonal, intersect at square of paper 2 central points; By square of paper 2 central points, do two vertical line fold lines vertical with trimming, two vertical line fold lines are mutually vertical; As Fig. 2;
Square of paper 2 is placed on square of paper 1, square of paper 1 central point overlaps as coincidence central point with square of paper 2 central points, diagonal fold line overlaps with vertical line fold line as coincidence fold line, and the positive broken line of vertical line overlaps with the positive broken line of diagonal as the positive broken line that overlaps; Outside square of paper 1 and square of paper 2 laps, be eight congruent isosceles triangles, wherein the isosceles triangle of four square of paper 1 is that the isosceles triangle of 1, four square of paper 2 of isosceles triangle is isosceles triangle 2; The base of isosceles triangle 1 intersects at isosceles triangle 1 base intersection point with the fold line that overlaps; Do isosceles triangle 2 base fold lines on the base of isosceles triangle 2; As Fig. 3;
According to isosceles triangle 2 base fold lines, isosceles triangle 2 is folded and is affixed, with the overlapping square of square of paper 1 congruence; In coincidence fold line, get the end points of coincidence fold line to i.e. 1/2 mid point in 1/2 place of the central point that overlaps; Two end points in isosceles triangle 2 base fold lines do short fold line respectively and between 1/2 nearest mid point; The base of isosceles triangle 1 and nearest two short fold lines form isosceles triangles 3; Between 1/2 mid point and isosceles triangle 1 base intersection point, do tangent line, isosceles triangle 3 is divided into two congruent isosceles triangles 4 by tangent line; Tangent line is the otch cutting; As Fig. 4;
According to short fold line, isosceles triangle 4 is folded in the interlayer between square of paper 1 and square of paper 2; As Fig. 5;
Folding according to overlap positive broken line and coincidence fold line, be formed with four folding leg-of-mutton solid figures; Folding leg-of-mutton short fold line is divided into double-deck miter angle, i.e. insertion portion to square of paper 1 paper bight; The short fold line on folding triangle two sides is the socket that is inserted into part, is inserted into socket; An assembly completes; As Fig. 6;
The insertion method of two assemblies; The folding sub-fraction of wedge angle of insertion portion, folded part is no longer than 1/3 of insertion portion length, folding direction be not with the one side that is inserted into socket and fits, by 2 one folding leg-of-mutton sockets that are inserted into of the insertion portion plug-in package of 1 one triangles of assembly, meanwhile, assembly 2 is inserted into same folding leg-of-mutton being inserted in socket of same folding leg-of-mutton insertion portion plug-in package 1 insertion portion of socket; As Fig. 7;
The short fold line of insertion portion overlaps with the short fold line that is inserted into jack part, and two assemblies complete grafting; The wedge angle folded part of insertion portion can not be deviate from after inserting again, its can with the isosceles triangle 5 phase hookings that fold in advance in interlayer, form locking state, this will make the difficult drop-off of pegging graft; As Fig. 8;
With same insertion method, a folding triangle of do not peg graft folding triangle and the assembly 3 of assembly 2 plugs, and another folding triangle of assembly 3 and a folding triangle of assembly 4 plug, and peg graft in this way, and assembly 4 plugs with assembly 5; Assembly 5 plugs with assembly 1, a pentagonal sealing ring; As Fig. 9;
Outside pentagon sealing ring, two plug the folding triangle of not pegging graft that assembly is adjacent and can peg graft into a triangle sealing ring with two folding triangles of another assembly; As Figure 10;
Each pentagon sealing ring is outer can adjacent peg graft into five triangle sealing rings; Each triangle sealing ring is outer can three pentagon sealing rings of adjacent grafting; Peg graft in this way, 30 modular connector Cheng Zhengyuan fancy balls; As Figure 11.

Claims (1)

1. a preparation method for just round fancy ball, is characterized in that: just round fancy ball is by assembly 1, assembly 2 ... totally 30 same components grafting of assembly 30 forms; Each assembly by the square of paper 1 of homalographic, square of paper 2 totally two square of paper combine;
Get square of paper 1, do two diagonal fold lines, intersect at square of paper 1 central point; By square of paper 1 central point, do two positive broken lines of the vertical line vertical with trimming, two positive broken lines of vertical line are mutually vertical;
Get square of paper 2, do two positive broken lines of diagonal, intersect at square of paper 2 central points; By square of paper 2 central points, do two vertical line fold lines vertical with trimming, two vertical line fold lines are mutually vertical;
Square of paper 2 is placed on square of paper 1, square of paper 1 central point overlaps as coincidence central point with square of paper 2 central points, diagonal fold line overlaps with vertical line fold line as coincidence fold line, and the positive broken line of vertical line overlaps with the positive broken line of diagonal as the positive broken line that overlaps; Outside square of paper 1 and square of paper 2 laps, be eight congruent isosceles triangles, wherein the isosceles triangle of four square of paper 1 is that the isosceles triangle of 1, four square of paper 2 of isosceles triangle is isosceles triangle 2; The base of isosceles triangle 1 intersects at isosceles triangle 1 base intersection point with the fold line that overlaps; Do isosceles triangle 2 base fold lines on the base of isosceles triangle 2;
According to isosceles triangle 2 base fold lines, isosceles triangle 2 is folded and is affixed, with the overlapping square of square of paper 1 congruence; In coincidence fold line, get the end points of coincidence fold line to i.e. 1/2 mid point in 1/2 place of the central point that overlaps; Two end points in isosceles triangle 2 base fold lines do short fold line respectively and between 1/2 nearest mid point; The base of isosceles triangle 1 and nearest two short fold lines form isosceles triangles 3; Between 1/2 mid point and isosceles triangle 1 base intersection point, do tangent line, isosceles triangle 3 is divided into two congruent isosceles triangles 4 by tangent line; Tangent line is the otch cutting;
According to short fold line, isosceles triangle 4 is folded in the interlayer between square of paper 1 and square of paper 2;
Folding according to overlap positive broken line and coincidence fold line, be formed with four folding leg-of-mutton solid figures; Folding leg-of-mutton short fold line is divided into double-deck miter angle, i.e. insertion portion to square of paper 1 paper bight; The short fold line on folding triangle two sides is the socket that is inserted into part, is inserted into socket; An assembly completes;
The insertion method of two assemblies; The folding sub-fraction of wedge angle of insertion portion, folded part is no longer than 1/3 of insertion portion length, folding direction be not with the one side that is inserted into socket and fits, by 2 one folding leg-of-mutton sockets that are inserted into of the insertion portion plug-in package of 1 one triangles of assembly, meanwhile, assembly 2 is inserted into same folding leg-of-mutton being inserted in socket of same folding leg-of-mutton insertion portion plug-in package 1 insertion portion of socket;
The short fold line of insertion portion overlaps with the short fold line that is inserted into jack part, and two assemblies complete grafting;
With same insertion method, a folding triangle of do not peg graft folding triangle and the assembly 3 of assembly 2 plugs, and another folding triangle of assembly 3 and a folding triangle of assembly 4 plug, and peg graft in this way, and assembly 4 plugs with assembly 5; Assembly 5 plugs with assembly 1, a pentagonal sealing ring;
Outside pentagon sealing ring, two plug the folding triangle of not pegging graft that assembly is adjacent and can peg graft into a triangle sealing ring with two folding triangles of another assembly;
Each pentagon sealing ring is outer can adjacent peg graft into five triangle sealing rings; Each triangle sealing ring is outer can three pentagon sealing rings of adjacent grafting; Peg graft in this way, 30 modular connector Cheng Zhengyuan fancy balls.
CN201410047151.2A 2014-01-25 2014-01-25 The preparation method of positive round fancy ball Expired - Fee Related CN103876372B (en)

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Application Number Priority Date Filing Date Title
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CN103876372B CN103876372B (en) 2015-08-12

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Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2008110069A (en) * 2006-10-30 2008-05-15 Hatakeyama Insatsu Kk Origami
US20080143050A1 (en) * 2006-12-19 2008-06-19 Shelton Kenneth G Paper Folding Puzzle With Secondary Image
JP2012020094A (en) * 2010-07-14 2012-02-02 A & E:Kk Aromatic device of shape of flower made from paper
CN202802780U (en) * 2012-09-07 2013-03-20 李凌 Interesting folding paper
CN103434191A (en) * 2013-08-24 2013-12-11 李伯姗 Folding method for hexagrams

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2008110069A (en) * 2006-10-30 2008-05-15 Hatakeyama Insatsu Kk Origami
US20080143050A1 (en) * 2006-12-19 2008-06-19 Shelton Kenneth G Paper Folding Puzzle With Secondary Image
JP2012020094A (en) * 2010-07-14 2012-02-02 A & E:Kk Aromatic device of shape of flower made from paper
CN202802780U (en) * 2012-09-07 2013-03-20 李凌 Interesting folding paper
CN103434191A (en) * 2013-08-24 2013-12-11 李伯姗 Folding method for hexagrams

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