CN104002505B

CN104002505B - Combination concavity solid figure

Info

Publication number: CN104002505B
Application number: CN201410239464.8A
Authority: CN
Inventors: 宋玉远
Original assignee: Individual
Current assignee: Song Yuyuan
Priority date: 2014-05-24
Filing date: 2014-05-24
Publication date: 2016-08-31
Anticipated expiration: 2034-05-24
Also published as: CN104002505A

Abstract

A kind of combination concavity solid figure, relates to the manufacture method of a kind of solid figure.Combination concavity solid figure is combined by 20 same parts；Take equilateral triangle paper, do angular bisector indicatrix, the positive broken line of midpoint line, parallel lines fold line, be folded into regular hexagon shape；Do single-part stationery fold line, the positive broken line of multi-ply paper, be folded into and insert the parts folding trigonometric sum sheet interface opening；The insertion portion of parts 1 inserting the inserted part of parts 2, grafting in this way, parts 2 insert parts 3, parts 3 insert parts 4, and parts 4 insert parts 5, and parts 5 insert parts 1, form a concavity pentagon；Second concavity pentagon is become with the other three parts grafting by two parts on one limit of concavity pentagon；Grafting in this way, 20 the most pluggable one-tenth of parts have 12 concavity pentagonal combination concavities three-dimensional.Imagine peculiar, fold rule；Parts make easily, and combined inserting is simple；The concavity of positive round solid figure is remarkably productive, elegant in appearance.

Description

Combination concavity solid figure

Technical field

The present invention relates to the manufacture method of a kind of solid figure, a kind of manufacture method combining solid figure.

Background technology

At present, known solid figure mostly is rat shape, and the solid figure of surface indentation is rarely found.

Summary of the invention

In order to overcome existing solid figure mostly to be rat shape, the deficiency that the solid figure of surface indentation is rarely found, this A kind of manufacture method combining concavity solid figure of bright offer.

The technical solution adopted for the present invention to solve the technical problems is: combination concavity solid figure is by parts 1, parts 2 ... parts 20 totally 20 same parts combine；

Taking equilateral triangle paper, do the angular bisector indicatrix at three angles, three angular bisector indicatrixs intersect in positive three Dihedral paper central point, every angular bisector indicatrix is vertically intersected on opposite side midpoint with opposite side；Three opposite side midpoints are connected two-by-two For the positive broken line of midpoint line；The parallel lines opisthotonos that broken line positive with midpoint line is parallel is done in side, midpoint line positive broken line paper angle Line, is vertically intersected on fold line intersection point with angular bisector indicatrix；Fold line intersection point to equilateral triangle paper central point distance with Fold line intersection point is equal to the distance of paper angular vertex；

Fold according to the positive broken line of midpoint line and parallel lines fold line and be affixed, be folded to the folded portion at paper center along one Clockwise laminates, a regular hexagon shape；Three angles of regular hexagon are the single-part stationery angle having angular bisector indicatrix, The other three angle is the multi-ply paper angle without angular bisector indicatrix；Single-part stationery angle and multi-ply paper angle are spaced each other；Single-part stationery angle right Angle is multi-ply paper angle；On the diagonal of regular hexagon, with equilateral triangle paper central point as boundary, equilateral triangle paper central point is to list The diagonal of layer paper angular vertex part does the positive broken line of single-part stationery, the diagonal angle of equilateral triangle paper central point to multi-ply paper angular vertex part Line does multi-ply paper fold line；

Regular hexagon turns over a body, and the positive broken line of single-part stationery is changed to single-part stationery fold line, and multi-ply paper fold line is changed to many The layer positive broken line of paper；In single-part stationery angle part, inserted when the positive broken line of midpoint line intersected vertically with single-part stationery fold line is for combination Enter the interlayer opening of part；

According to the positive folding line of single-part stationery fold line and multi-ply paper, parts；The single-part stationery angle folding triangle of parts The folding pointed part of shape, to the midpoint line positive broken line part being folded, folds triangle for insertion during unit construction；Interlayer Opening forms sheet interface opening；

One insertion of parts 1 is folded triangle and inserts a sheet interface opening of parts 2, make the folding of two parts Interlayer opening overlaps；

Grafting in this way, inserts a sheet interface opening of parts 3 by untapped for parts 2 one the folding triangle that inserts； Again one of the parts 3 untapped folding triangle that inserts is inserted sheet interface opening, in this way a grafting of parts 4, parts 4 Inserting parts 5, parts 5 insert a untapped sheet interface opening of parts 1, form a concavity pentagon；

Second concavity pentagon is become with the other three parts grafting by two parts on one limit of concavity pentagon；In this way Grafting, 20 the most pluggable one-tenth of parts have 12 concavity pentagonal combination concavities three-dimensional.

The invention has the beneficial effects as follows, imagine peculiar, fold rule；Parts make easily, and combined inserting is simple；Positive round is stood The concavity of the bodily form is remarkably productive, elegant in appearance.

Accompanying drawing explanation

The present invention is further described with embodiment below in conjunction with the accompanying drawings.

Fig. 1 is the triangle paper plane figure being decorated with fold line, indicatrix；

Fig. 2 is regular hexagon shape plane graph；

Fig. 3 is the plane graph after regular hexagon shape is stood up；

Fig. 4 is exploded view；

Fig. 5 is two parts grafting schematic diagrams；

Fig. 6 is concavity pentagon axonometric chart；

Fig. 7 is combination concavity solid figure axonometric chart.

Detailed description of the invention

Combination concavity solid figure is by parts 1, parts 2 ... parts 20 totally 20 same parts combine；Use dotted line Representing the positive broken line of front doubling, when i.e. folding, recto and front are affixed；Solid line adds circle and represents the opisthotonos of reverse side doubling Line, when i.e. folding, reverse side and the reverse side of paper are affixed；Solid line is added some points expression indicatrix；Arrow line represents the indicatrix in grafting direction, The dotted portion of arrow line represents insertion portion, and the bold portion of arrow line represents and is not inserted into part；

Taking equilateral triangle paper, do the angular bisector indicatrix at three angles, three angular bisector indicatrixs intersect in positive three Dihedral paper central point, every angular bisector indicatrix is vertically intersected on opposite side midpoint with opposite side；Three opposite side midpoints are connected two-by-two For the positive broken line of midpoint line；The parallel lines opisthotonos that broken line positive with midpoint line is parallel is done in side, midpoint line positive broken line paper angle Line, is vertically intersected on fold line intersection point with angular bisector indicatrix；Fold line intersection point to equilateral triangle paper central point distance with Fold line intersection point is equal to the distance of paper angular vertex；Such as Fig. 1；

Fold according to the positive broken line of midpoint line and parallel lines fold line and be affixed, be folded to the folded portion at paper center along one Clockwise laminates, and is all clockwise or is all counterclockwise, and effect is identical, a regular hexagon shape, Laminate and make folded portion have locked effect, fit tightr；Three angles of regular hexagon are to have angular bisector indicatrix Single-part stationery angle, the other three angle is the multi-ply paper angle without angular bisector indicatrix；Single-part stationery angle and multi-ply paper angle are spaced each other；Monolayer The diagonal angle at paper angle is multi-ply paper angle；On the diagonal of regular hexagon, with equilateral triangle paper central point as boundary, in equilateral triangle paper Heart point does the positive broken line of single-part stationery to the diagonal of single-part stationery angular vertex part, and equilateral triangle paper central point is to multi-ply paper angular vertex portion The diagonal divided does multi-ply paper fold line；Such as Fig. 2；

Regular hexagon turns over a body, and the positive broken line of single-part stationery is changed to single-part stationery fold line, and multi-ply paper fold line is changed to many The layer positive broken line of paper；In single-part stationery angle part, inserted when the positive broken line of midpoint line intersected vertically with single-part stationery fold line is for combination Enter the interlayer opening of part；Such as Fig. 3；

According to the positive folding line of single-part stationery fold line and multi-ply paper, parts；The single-part stationery angle folding triangle of parts The folding pointed part of shape, to the midpoint line positive broken line part being folded, folds triangle for insertion during unit construction；Interlayer Opening forms sheet interface opening；Such as Fig. 4；

One insertion of parts 1 is folded triangle and inserts a sheet interface opening of parts 2, make the folding of two parts Interlayer opening overlaps；Such as Fig. 5；

Grafting in this way, inserts a sheet interface opening of parts 3 by untapped for parts 2 one the folding triangle that inserts； Again one of the parts 3 untapped folding triangle that inserts is inserted sheet interface opening, in this way a grafting of parts 4, parts 4 Inserting parts 5, parts 5 insert a untapped sheet interface opening of parts 1, form a concavity pentagon；Such as Fig. 6；

Second concavity pentagon is become with the other three parts grafting by two parts on one limit of concavity pentagon；In this way Grafting, 20 the most pluggable one-tenth of parts have 12 concavity pentagonal combination concavity solid figures；Such as Fig. 7.

Claims

1. a combination concavity solid figure, is characterized in that: combination concavity solid figure is by parts 1, parts 2 ... parts 20 totally 20 Same parts combines；

Taking equilateral triangle paper, do the angular bisector indicatrix at three angles, three angular bisector indicatrixs intersect in equilateral triangle Paper central point, every angular bisector indicatrix is vertically intersected on opposite side midpoint with opposite side；During three opposite side midpoints are connected to two-by-two The point positive broken line of line；The parallel lines fold line that broken line positive with midpoint line is parallel is done in side, midpoint line positive broken line paper angle, with Angular bisector indicatrix is vertically intersected on fold line intersection point；Fold line intersection point is to the distance of equilateral triangle paper central point and fold line Intersection point is equal to the distance of paper angular vertex；

Fold according to the positive broken line of midpoint line and parallel lines fold line and be affixed, be folded to the folded portion at paper center along hour hands Direction laminates, a regular hexagon shape；Three angles of regular hexagon are the single-part stationery angle having angular bisector indicatrix, another three Individual angle is the multi-ply paper angle without angular bisector indicatrix；Single-part stationery angle and multi-ply paper angle are spaced each other；The diagonal angle at single-part stationery angle is Multi-ply paper angle；On the diagonal of regular hexagon, with equilateral triangle paper central point as boundary, equilateral triangle paper central point is to single-part stationery The diagonal of angular vertex part does the positive broken line of single-part stationery, and equilateral triangle paper central point does to the diagonal of multi-ply paper angular vertex part Multi-ply paper fold line；

Regular hexagon turns over a body, and the positive broken line of single-part stationery is changed to single-part stationery fold line, and multi-ply paper fold line is changed to multi-ply paper Positive broken line；In single-part stationery angle part, when the positive broken line of midpoint line intersected vertically with single-part stationery fold line is for combination, it is inserted into portion The interlayer opening divided；

According to the positive folding line of single-part stationery fold line and multi-ply paper, parts；The single-part stationery angle folding triangle shape of parts Folding pointed part, to the midpoint line positive broken line part being folded, folds triangle for insertion during unit construction；Interlayer opening Form sheet interface opening；

One insertion of parts 1 is folded triangle and inserts a sheet interface opening of parts 2, make the sheet interface of two parts Opening overlaps；

Grafting in this way, inserts a sheet interface opening of parts 3 by untapped for parts 2 one the folding triangle that inserts；Again will One untapped folding triangle that inserts of parts 3 inserts sheet interface opening, in this way a grafting of parts 4, and parts 4 insert Parts 5, parts 5 insert a untapped sheet interface opening of parts 1, form a concavity pentagon；

Second concavity pentagon is become with the other three parts grafting by two parts on one limit of concavity pentagon；Insert in this way Connecing, 20 the most pluggable one-tenth of parts have 12 concavity pentagonal combination concavities three-dimensional.