CN104057644B - A kind of spheroid - Google Patents

Abstract

A kind of spheroid, relates to a kind of preparation method of solid figure.Spheroid is combined by 60 same parts; Be folded to form regular hexagon by equilateral triangle paper, then make the folding trigonometric sum that inserts and fold the parts being inserted into opening; One of the folding insertion triangle insertion parts 2 of parts 1 is folded and is inserted into opening; Grafting in this way, by parts 2 insertion parts 3, part 3 insertion parts 4, parts 4 insertion parts 5, part 5 insertion parts 1, pentagon shape; Six parts and grafting become hexagon shape; There to be the rule of five hexagon shapes around pentagon shape, 60 parts and grafting become the spheroid of 12 pentagon shapes and 20 hexagon shape compositions; Parts are made by an equilateral triangle paper, unusual; Laminate formation auto-lock function, make to be inserted into opening lockout, not yielding, grafting is more firm; Parts are launched into plane and also can not fall apart shape, make the change of combined inserting more diversified; Moulding air, beautiful.

Description

A kind of spheroid

Technical field

The present invention relates to a kind of preparation method of solid figure, especially a kind of preparation method of spheroid.

Background technology

At present, the parts of known spheroid are combined by two pieces of paper, and fastness is poor, also cause the body of grafting firm not.

Summary of the invention

In order to the parts overcoming existing spheroid are combined by two pieces of paper, fastness is poor, also causes the body of grafting not firmly not enough, the invention provides a kind of preparation method of spheroid.

The technical solution adopted for the present invention to solve the technical problems is: spheroid is by parts 1, parts 2 ... parts 60 totally 60 same parts combine;

Get equilateral triangle paper, do the angular bisector index line at each angle, intersect in equilateral triangle paper mid point, i.e. central point, the opposite side at angular bisector index line and angle intersects at opposite side intersection point; Three opposite side intersection points are connected between two, are intersection point line index line between two opposite side intersection points; On the summit at the angle of angular bisector index line to 1/2 place of central point, do the vertical line fold line vertical with angular bisector index line, the paper angle triangle that it is boundary with vertical line fold line that paper dihedral becomes;

According to vertical line fold line, paper angle triangle collapse is affixed, forms regular hexagon; Do angular bisector fold line by orthohexagonal angle, intersect at angular bisector intersection point with nearest intersection point line index line; Two nearest angular bisector intersection points are connected with short positive broken line; Take central point as datum mark, with angular bisector index line for datum line, short positive broken line is extended to orthohexagonal limit clockwise, short positive broken line and prolongation are long positive broken line;

Be affixed according to angular bisector fold line and long positive folding line, paper angle triangle rolls up thereupon, forms the equilateral triangle that middle part laminates multilayer, i.e. multilayer triangle;

Multilayer triangle is turned over body, stand up equilateral triangle, be middle part regular hexagon in the middle part of it, its paper angle is the leg-of-mutton pointed part in paper angle; Pointed part be parts and component combination grafting time insertion portion; Pointed part and middle part regular hexagon adjacent are interlayer opening, for being inserted into opening when parts and component combination grafting; Do summit fold line at central point to the summit of standing up equilateral triangle angle, do the positive broken line of opposite side at central point to opposite side intersection point;

According to summit fold line and the positive folding line of opposite side, have the parts of three folding triangles; Insertion section is divided into folding inserts triangle, is inserted into opening and becomes folding and be inserted into opening;

Parts 1 folding of inserting triangle insertion parts 2 is folded and is inserted into opening, overlap to two folding openings that are inserted into, namely complete a grafting;

Grafting in this way, folds one of parts 2 untapped folding insertion triangle insertion parts 3 and is inserted into opening; Grafting in this way, part 3 insertion parts 4, parts 4 insertion parts 5, one of part 5 insertion parts 1 folding is inserted into opening, pentagon shape;

Grafting in this way, six parts and grafting become hexagon shape;

There to be the rule of five hexagon shapes around pentagon shape, 60 parts and grafting become the spheroid of 12 pentagon shapes and 20 hexagon shape compositions.

The invention has the beneficial effects as follows, parts are made by an equilateral triangle paper, unusual; Laminate formation auto-lock function, be inserted into opening and be locked, grafting is more firm; Parts are deployable, make combination more diversified; Moulding air, beautiful.

Accompanying drawing explanation

Fig. 1 is the equilateral triangle paper plane figure being decorated with fold line and index line;

Paper angle triangle collapse is affixed by Fig. 2, forms regular hexagon plane;

Fig. 3 is affixed according to angular bisector fold line and long positive folding line, and paper angle triangle rolls up thereupon, forms the equilateral triangle that middle part laminates multilayer, i.e. multilayer triangle projective planum figure;

Fig. 4 stands up equilateral triangle plane;

Fig. 5 is exploded view;

Fig. 6 is two parts grafting schematic diagrames;

Fig. 7 is pentagon shape stereogram;

Fig. 8 is hexagon shape stereogram;

Fig. 9 is spheroid stereogram.

Detailed description of the invention

Spheroid is by parts 1, parts 2 ... parts 60 totally 60 same parts combine; Adopt the positive broken line of front represented by dashed line doubling, when namely folding, recto and front are affixed; Solid line adds the fold line that circle represents reverse side doubling, and when namely folding, reverse side and the reverse side of paper are affixed; Solid line is added some points expression index line; Arrow line represents the index line in grafting direction, and the dotted portion of arrow line represents insertion portion, and the bold portion of arrow line represents non-insertion portion;

Get equilateral triangle paper, do the angular bisector index line at each angle, intersect in equilateral triangle paper mid point, i.e. central point, the opposite side at angular bisector index line and angle intersects at opposite side intersection point; Three opposite side intersection points are connected between two, are intersection point line index line between two opposite side intersection points; On the summit at the angle of angular bisector index line to 1/2 place of central point, do the vertical line fold line vertical with angular bisector index line, the paper angle triangle that it is boundary with vertical line fold line that paper dihedral becomes; As Fig. 1;

According to vertical line fold line, paper angle triangle collapse is affixed, forms regular hexagon; Do angular bisector fold line by orthohexagonal angle, intersect at angular bisector intersection point with nearest intersection point line index line; Two nearest angular bisector intersection points are connected with short positive broken line; Take central point as datum mark, with angular bisector index line for datum line, short positive broken line is extended to orthohexagonal limit clockwise, short positive broken line and prolongation are long positive broken line; As Fig. 2;

Be affixed according to angular bisector fold line and long positive folding line, paper angle triangle rolls up thereupon, forms the equilateral triangle that middle part laminates multilayer, i.e. multilayer triangle; The folding slightly difficulty of this step, all not to the degree be affixed when method has be folding at two: one, advancing side by side to be depressed into is affixed, and two is that one side one side is folding, when folding into last, is raised folded part, final step is completed, then restores raised portion; As Fig. 3;

Multilayer triangle is turned over body, stand up equilateral triangle, be middle part regular hexagon in the middle part of it, its paper angle is the leg-of-mutton pointed part in paper angle; Pointed part be parts and component combination grafting time insertion portion; Pointed part and middle part regular hexagon adjacent are interlayer opening, for being inserted into opening when parts and component combination grafting; Do summit fold line at central point to the summit of standing up equilateral triangle angle, do the positive broken line of opposite side at central point to opposite side intersection point; As Fig. 4;

According to summit fold line and the positive folding line of opposite side, have the parts of three folding triangles; Insertion section is divided into folding inserts triangle, is inserted into opening and becomes folding and be inserted into opening; As Fig. 5;

Parts 1 folding of inserting triangle insertion parts 2 is folded and is inserted into opening, overlap to two folding openings that are inserted into, namely complete a grafting; As Fig. 6;

Grafting in this way, folds one of parts 2 untapped folding insertion triangle insertion parts 3 and is inserted into opening; Grafting in this way, part 3 insertion parts 4, parts 4 insertion parts 5, one of part 5 insertion parts 1 folding is inserted into opening, pentagon shape; As Fig. 7;

Grafting in this way, six parts and grafting become hexagon shape; As Fig. 8;

There to be the rule of five hexagon shapes around pentagon shape, 60 parts and grafting become the spheroid of 12 pentagon shapes and 20 hexagon shape compositions; As Fig. 9.

Claims (1)

1. a spheroid, is characterized in that: spheroid is by parts 1, parts 2 ... parts 60 totally 60 same parts combine;

Get equilateral triangle paper, do the angular bisector index line at each angle, intersect in equilateral triangle paper mid point, i.e. central point, the opposite side at angular bisector index line and angle intersects at opposite side intersection point; Three opposite side intersection points are connected between two, are intersection point line index line between two opposite side intersection points; On the summit at the angle of angular bisector index line to 1/2 place of central point, do the vertical line fold line vertical with angular bisector index line, the paper angle triangle that it is boundary with vertical line fold line that paper dihedral becomes;

According to vertical line fold line, paper angle triangle collapse is affixed, forms regular hexagon; Do angular bisector fold line by orthohexagonal angle, intersect at angular bisector intersection point with nearest intersection point line index line; Two nearest angular bisector intersection points are connected with short positive broken line; Take central point as datum mark, with angular bisector index line for datum line, short positive broken line is extended to orthohexagonal limit clockwise, short positive broken line and prolongation are long positive broken line;

Be affixed according to angular bisector fold line and long positive folding line, paper angle triangle rolls up thereupon, forms the equilateral triangle that middle part laminates multilayer, i.e. multilayer triangle;

Multilayer triangle is turned over body, stand up equilateral triangle, be middle part regular hexagon in the middle part of it, its paper angle is the leg-of-mutton pointed part in paper angle; Pointed part be parts and component combination grafting time insertion portion; Pointed part and middle part regular hexagon adjacent are interlayer opening, for being inserted into opening when parts and component combination grafting; Do summit fold line at central point to the summit of standing up equilateral triangle angle, do the positive broken line of opposite side at central point to opposite side intersection point;

According to summit fold line and the positive folding line of opposite side, have the parts of three folding triangles; Insertion section is divided into folding inserts triangle, is inserted into opening and becomes folding and be inserted into opening;

Parts 1 folding of inserting triangle insertion parts 2 is folded and is inserted into opening, overlap to two folding openings that are inserted into, namely complete a grafting;

Grafting in this way, folds one of parts 2 untapped folding insertion triangle insertion parts 3 and is inserted into opening; Grafting in this way, part 3 insertion parts 4, parts 4 insertion parts 5, one of part 5 insertion parts 1 folding is inserted into opening, pentagon shape;

Grafting in this way, six parts and grafting become hexagon shape;

There to be the rule of five hexagon shapes around pentagon shape, 60 parts and grafting become the spheroid of 12 pentagon shapes and 20 hexagon shape compositions.