CN103847136A - Geometrical three-dimensional shape - Google Patents

Abstract

The invention provides a geometrical three-dimensional shape, which relates to a manufacturing method of a paper container. The geometrical three-dimensional shape consists of 12 identical assemblies through being combined; each assembly consists of two parts including a part 1 and a part 2; a piece of square paper is taken and is used as the part 1; a piece of 2/1 rectangular paper is taken and is folded into the part 2; the part 1 is placed onto the part 2, is folded into a congruent square, and is further folded into an assembly with a small inserting triangle and an inserted opening; the small inserting triangle of one assembly is inserted into a sandwich layer of the inserted opening of another assembly, the plane of the large plane right angled isosceles triangle of an inserting party and the plane of the large plane right angled isosceles triangle of an inserted party are maintained on the same plane, and 12 assemblies can be inserted and connected into the geometrical three-dimensional shape with six plane squares and eight recessed triangles. The geometrical three-dimensional shape has the advantages that the design is ingenious and simple, the manufacturing is simple and easy, the operation is convenient and fast, and the appearance is novel and attractive.

Description

A kind of how much solid figures

Technical field

The present invention relates to a kind of preparation method of geometrical body, especially a kind of preparation method of how much solid figures.

Background technology

At present, known how much solid figures or just round, or square, between just the solid figure between circle and pros is more rare.

Summary of the invention

In order to overcome existing how much solid figures or just round, or square, and the more rare deficiency of solid figure between just round and pros, the invention provides a kind of how much solid figures.

The technical solution adopted for the present invention to solve the technical problems is: how much solid figures are combined by 12 same components; Each assembly by parts 1 and parts 2 totally two component combinations form;

Get square of paper, four paper angles are pointed to up and down, are parts 1;

Getting grow crosswise vertical wide be the rectangular paper of 2: 1, the length of side of the wide and parts 1 of rectangular paper is isometric; Do longitudinally positive broken line, it is two congruent squares that rectangular paper is divided equally;

Be affixed according to longitudinally positive broken line is folding, form folding square, folding foursquare one side is enclosed edge, and other three limit is the limit that has interlayer opening, i.e. opening edge is parts 2;

Parts 1 are placed on parts 2, form polygon-octagonal; The middle part of polygon-octagonal forms octagon, is that eight congruent right angled isosceles triangles are little triangle outside octagon, and four little triangles of parts 1 are the little triangles of parts 1, and four little triangles of parts 2 are the little triangles of parts 2; Do base fold line on the little leg-of-mutton base of parts 1;

According to base fold line by little parts 1 triangle collapse, the little triangle collapse of parts 1 of opening edge one side of parts 2 enclosed edge one sides and opposite side is affixed on the bottom surface of parts 2 mutually, other two little triangles of parts 1 fold into respectively in the interlayer of parts 2 opening edges, and polygon-octagonal forms the congruence square with parts 2 congruences; On congruent square, do two diagonal fold lines; Article two, diagonal fold line intersects at center intersection point; Do the vertical positive broken line perpendicular to parts 2 enclosed edge by center intersection point;

Folding according to diagonal fold line, the positive broken line of vertical line, be not affixed, assembly, assembly Cheng Yi center intersection point is summit, have the three-dimensional shape of two large flat square isosceles triangles, four facet right angled isosceles triangles; The base of large flat square isosceles triangle is parts 2 opening edges, and the base of facet right angled isosceles triangle is the center intersection point of diagonal fold line to congruent foursquare angle one section; Adjacent large flat square isosceles triangle and facet right angled isosceles triangle form folding triangle, and the little triangle of parts 2 of folding triangle forms the little triangle of rugosity, is the little triangle of insertion of assembly; The little leg-of-mutton base of parts 2 forms two Sandwich openings, assembly be inserted into opening;

The insertion method of two assemblies: little the insertion of assembly triangle is inserted in the interlayer that is inserted into opening of another assembly, the plane of the large flat square isosceles triangle of insertion side keeps in one plane with the plane of the large flat square isosceles triangle of the side of being inserted into, and also the plane of the plane of the facet right angled isosceles triangle of the side of insertion and the facet right angled isosceles triangle of the side of being inserted into keeps in one plane; The opening that is inserted into that inserts little triangle one side completes grafting with the opening coincidence that is inserted into that is inserted into a side;

Four folding triangles of each assembly are pegged graft in this way with each folding triangle of another four assemblies respectively; Four large flat square isosceles triangles after grafting form a square-shaped planar, and a depression of three facet right angled isosceles triangle formation is triangular shaped; 12 assemblies can be pegged graft into six plane squares, eight leg-of-mutton how much solid figures of depression.

The invention has the beneficial effects as follows, it is adroit and simple and clear to design, and makes simple and easy; Easy to operate and quick, modern design and attractive in appearance.

Brief description of the drawings

Fig. 1 is parts 1 planes;

Fig. 2 be grow crosswise vertical wide be the rectangular paper plane of 2: 1;

Fig. 3 is parts 2 planes;

Fig. 4 is that parts 1 are placed on parts 2, forms polygon-octagonal plane;

Fig. 5 is congruent square-shaped planar figure;

Fig. 6 is assembly stereogram;

Fig. 7 is two modular connector schematic diagrames;

Fig. 8 is how much solid figure stereograms.

Detailed description of the invention

How much solid figures are combined by 12 same components; Each assembly by parts 1 and parts 2 totally two component combinations form; Adopt the positive broken line that dots positive doubling, solid line adds the fold line that circle represents reverse side doubling, and dotted line solid line adds arrow and represents to insert line, and the dotted portion that inserts line represents to insert part in interlayer, and the solid line part of inserting line represents not insert sandwich portion;

Get square of paper, four paper angles are pointed to up and down, are parts 1; As Fig. 1;

Getting grow crosswise vertical wide be the rectangular paper of 2: 1, the length of side of the wide and parts 1 of rectangular paper is isometric; Do longitudinally positive broken line, it is two congruent squares that rectangular paper is divided equally; As Fig. 2;

Be affixed according to longitudinally positive broken line is folding, form folding square, folding foursquare one side is enclosed edge, and other three limit is the limit that has interlayer opening, i.e. opening edge is parts 2; As Fig. 3;

Parts 1 are placed on parts 2, form polygon-octagonal; The middle part of polygon-octagonal forms octagon, is that eight congruent right angled isosceles triangles are little triangle outside octagon, and four little triangles of parts 1 are the little triangles of parts 1, and four little triangles of parts 2 are the little triangles of parts 2; Do base fold line on the little leg-of-mutton base of parts 1; As Fig. 4;

According to base fold line by little parts 1 triangle collapse, the little triangle collapse of parts 1 of opening edge one side of parts 2 enclosed edge one sides and opposite side is affixed on the bottom surface of parts 2 mutually, other two little triangles of parts 1 fold into respectively in the interlayer of parts 2 opening edges, and polygon-octagonal forms the congruence square with parts 2 congruences; On congruent square, do two diagonal fold lines; Article two, diagonal fold line intersects at center intersection point; Do the vertical positive broken line perpendicular to parts 2 enclosed edge by center intersection point; As Fig. 5;

Folding according to diagonal fold line, the positive broken line of vertical line, be not affixed, assembly, assembly Cheng Yi center intersection point is summit, have the three-dimensional shape of two large flat square isosceles triangles, four facet right angled isosceles triangles; The base of large flat square isosceles triangle is parts 2 opening edges, and the base of facet right angled isosceles triangle is the center intersection point of diagonal fold line to congruent foursquare angle one section; Adjacent large flat square isosceles triangle and facet right angled isosceles triangle form folding triangle, and the little triangle of parts 2 of folding triangle forms the little triangle of rugosity, is the little triangle of insertion of assembly; The little leg-of-mutton base of parts 2 forms two Sandwich openings, assembly be inserted into opening; As Fig. 6;

The insertion method of two assemblies: little the insertion of assembly triangle is inserted in the interlayer that is inserted into opening of another assembly, the plane of the large flat square isosceles triangle of insertion side keeps in one plane with the plane of the large flat square isosceles triangle of the side of being inserted into, and also the plane of the plane of the facet right angled isosceles triangle of the side of insertion and the facet right angled isosceles triangle of the side of being inserted into keeps in one plane; As Fig. 7; The opening that is inserted into that inserts little triangle one side completes grafting with the opening coincidence that is inserted into that is inserted into a side;

Four folding triangles of each assembly are pegged graft in this way with each folding triangle of another four assemblies respectively; Four large flat square isosceles triangles after grafting form a square-shaped planar, and three facet right angled isosceles triangles form a depression triangle; 12 assemblies can be pegged graft into six plane squares, eight leg-of-mutton how much solid figures of depression; As Fig. 8.

Claims (1)

1. how much solid figures, is characterized in that: how much solid figures are combined by 12 same components; Each assembly by parts 1 and parts 2 totally two component combinations form;

Get square of paper, four paper angles are pointed to up and down, are parts 1;

Getting grow crosswise vertical wide be the rectangular paper of 2: 1, the length of side of the wide and parts 1 of rectangular paper is isometric; Do longitudinally positive broken line, it is two congruent squares that rectangular paper is divided equally;

Be affixed according to longitudinally positive broken line is folding, form folding square, folding foursquare one side is enclosed edge, and other three limit is the limit that has interlayer opening, i.e. opening edge is parts 2;

Parts 1 are placed on parts 2, form polygon-octagonal; The middle part of polygon-octagonal forms octagon, is that eight congruent right angled isosceles triangles are little triangle outside octagon, and four little triangles of parts 1 are the little triangles of parts 1, and four little triangles of parts 2 are the little triangles of parts 2; Do base fold line on the little leg-of-mutton base of parts 1;

According to base fold line by little parts 1 triangle collapse, the little triangle collapse of parts 1 of opening edge one side of parts 2 enclosed edge one sides and opposite side is affixed on the bottom surface of parts 2 mutually, other two little triangles of parts 1 fold into respectively in the interlayer of parts 2 opening edges, and polygon-octagonal forms the congruence square with parts 2 congruences; On congruent square, do two diagonal fold lines; Article two, diagonal fold line intersects at center intersection point; Do the vertical positive broken line perpendicular to parts 2 enclosed edge by center intersection point;

Folding according to diagonal fold line, the positive broken line of vertical line, be not affixed, assembly, assembly Cheng Yi center intersection point is summit, have the three-dimensional shape of two large flat square isosceles triangles, four facet right angled isosceles triangles; The base of large flat square isosceles triangle is parts 2 opening edges, and the base of facet right angled isosceles triangle is the center intersection point of diagonal fold line to congruent foursquare angle one section; Adjacent large flat square isosceles triangle and facet right angled isosceles triangle form folding triangle, and the little triangle of parts 2 of folding triangle forms the little triangle of rugosity, is the little triangle of insertion of assembly; The little leg-of-mutton base of parts 2 forms two Sandwich openings, assembly be inserted into opening;

The insertion method of two assemblies: little the insertion of assembly triangle is inserted in the interlayer that is inserted into opening of another assembly, the plane of the large flat square isosceles triangle of insertion side keeps in one plane with the plane of the large flat square isosceles triangle of the side of being inserted into, and also the plane of the plane of the facet right angled isosceles triangle of the side of insertion and the facet right angled isosceles triangle of the side of being inserted into keeps in one plane; The opening that is inserted into that inserts little triangle one side completes grafting with the opening coincidence that is inserted into that is inserted into a side;

Four folding triangles of each assembly are pegged graft in this way with each folding triangle of another four assemblies respectively; Four large flat square isosceles triangles after grafting form a square-shaped planar, and a depression of three facet right angled isosceles triangle formation is triangular shaped; 12 assemblies can be pegged graft into six plane squares, eight leg-of-mutton how much solid figures of depression.

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