CN104002505A - Combined type concave three-dimensional figure - Google Patents

Abstract

The invention discloses a combined type concave three-dimensional figure, which relates to a making method of the three-dimensional figure. The combined type concave three-dimensional figure is obtained by combining 20 parts that are the same; the making method comprises the following steps of: taking a piece of regular triangular paper, making indication lines of angular bisectors, positive folding lines of midpoint linkage lines, and reversed folding lines of parallel lines; folding the regular triangular paper to be in a shape of a regular hexagon; making single-layer paper reversed folding lines and multi-layer paper positive folding lines, folding to form a part with insertion folded triangles and folded interlayer openings; inserting an insertion portion of a part 1 into an inserted portion of a part 2, if the part 1 and the part 2 are connected by means of insertion, the part 2 is inserted into a part 3, the part 3 is inserted into a part 4, a part 4 is inserted into a part 5, a part 5 is inserted into the part 1, so that a concave pentagon is formed; two parts on one side of the concave pentagon are connected by means of insertion with another three parts on the side to form a second concave pentagon, in this way, 20 parts can be connected by means of insertion to form the combined type concave three-dimensional figure with 12 concave pentagons. The combined type concave three-dimensional figure disclosed by the invention features a unique concept and regular folding; the parts are easy to make, and simple to combine and connect by means of insertion; the regular round three-dimensional figure has an outstanding concave effect, and is beautiful as well as elegant.

Description

Combination concavity solid figure

Technical field

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

Background technology

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

Summary of the invention

Mostly be rat shape in order to overcome existing solid figure, the rarely found deficiency of solid figure of surface depression, the invention provides a kind of preparation method that combines concavity solid figure.

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

Get equilateral triangle paper, do the angular bisector index line at three angles, three angular bisector index lines intersect in triangle paper central point, and every angular bisector index line and opposite side are vertically intersected on opposite side mid point; Three opposite side mid points are connected to the positive broken line of mid point line between two; At the positive broken line paper of mid point line angle, one side is done the parallel lines fold line parallel with the positive broken line of mid point line, is vertically intersected on fold line intersection point with angular bisector index line; Fold line intersection point to the distance of triangle center point equates with fold line intersection point to the distance of paper angular vertex;

Be affixed according to the positive broken line of mid point line and parallel lines fold line are folding, the folded part that is folded to paper center laminates along a clockwise, a regular hexagon shape; Three angles of regular hexagon are the single-part stationery angle that has angular bisector index line, and another three angles are the multi-ply paper angle without angular bisector index line; Single-part stationery angle and interval each other, multi-ply paper angle; The diagonal angle at single-part stationery angle is multi-ply paper angle; On the diagonal of regular hexagon, taking triangle paper central point as boundary, triangle paper central point does the positive broken line of single-part stationery to the diagonal of single-part stationery angular vertex part, and triangle paper central point to the diagonal of multi-ply paper angular vertex part does multi-ply paper fold line;

Regular hexagon is turned over to 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 the positive broken line of multi-ply paper; In single-part stationery angle part, the positive broken line of mid point line intersecting vertically with single-part stationery fold line is inserted into the interlayer opening of part while being combination;

Folding according to single-part stationery fold line and the positive broken line of multi-ply paper, parts; The folding wedge angle part of the folding triangle in the single-part stationery angle of parts is to the positive broken line part of mid point line having folded, the folding triangle of insertion during for component combination; Interlayer opening forms folding interlayer opening;

By a folding interlayer opening of a folding triangle insertion parts 2 of insertion of parts 1, the folding interlayer opening of two parts is overlapped;

Peg graft in this way, by a folding interlayer opening of the folding triangle insertion parts 3 of 2 one untapped insertions of parts; By a folding interlayer opening of the folding triangle insertion parts 4 of a untapped insertion of parts 3, peg graft in this way again, parts 4 insertion parts 5, a untapped folding interlayer opening of parts 5 insertion parts 1, forms a concavity pentagon;

Peg graft into second concavity pentagon by two parts on limit of concavity pentagon with another three parts; Peg graft in this way, 20 parts can be pegged graft into 12 the pentagonal combination concavity of concavity solids.

The invention has the beneficial effects as follows, imagine peculiar, folding rule; Parts are made easily, and combined inserting is simple; The concavity of just round solid figure is remarkably productive, elegant in appearance.

Brief description of the drawings

Below in conjunction with drawings and Examples, the present invention is further described.

Fig. 1 is the triangle paper plane figure that is decorated with fold line, index line;

Fig. 2 is regular hexagon shape plane;

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

Fig. 4 is parts stereograms;

Fig. 5 is two parts grafting schematic diagrames;

Fig. 6 is concavity pentagon stereogram;

Fig. 7 is combination concavity solid figure stereogram.

Detailed description of the invention

Combination concavity solid figure is by parts 1, parts 2 ... totally 20 same parts of parts 20 combine; Adopt the positive broken line that dots positive doubling, while folding, recto and front are affixed; Solid line adds the fold line that circle represents reverse side doubling, and while folding, reverse side and the reverse side of paper are affixed; The solid line expression index line of adding some points; Arrow line represent the to peg graft index line of direction, the dotted portion of arrow line represents insertion portion, the solid line part of arrow line represents not insertion portion;

Get equilateral triangle paper, do the angular bisector index line at three angles, three angular bisector index lines intersect in triangle paper central point, and every angular bisector index line and opposite side are vertically intersected on opposite side mid point; Three opposite side mid points are connected to the positive broken line of mid point line between two; At the positive broken line paper of mid point line angle, one side is done the parallel lines fold line parallel with the positive broken line of mid point line, is vertically intersected on fold line intersection point with angular bisector index line; Fold line intersection point to the distance of triangle center point equates with fold line intersection point to the distance of paper angular vertex; As Fig. 1;

Fold and be affixed according to the positive broken line of mid point line and parallel lines fold line, the folded part that is folded to paper center laminates along a clockwise, be all clockwise direction or be all and counterclockwise all can, effect is identical, a regular hexagon shape, laminate and make folded part have blocked effect, fit tightr; Three angles of regular hexagon are the single-part stationery angle that has angular bisector index line, and another three angles are the multi-ply paper angle without angular bisector index line; Single-part stationery angle and interval each other, multi-ply paper angle; The diagonal angle at single-part stationery angle is multi-ply paper angle; On the diagonal of regular hexagon, taking triangle paper central point as boundary, triangle paper central point does the positive broken line of single-part stationery to the diagonal of single-part stationery angular vertex part, and triangle paper central point to the diagonal of multi-ply paper angular vertex part does multi-ply paper fold line; As Fig. 2;

Regular hexagon is turned over to 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 the positive broken line of multi-ply paper; In single-part stationery angle part, the positive broken line of mid point line intersecting vertically with single-part stationery fold line is inserted into the interlayer opening of part while being combination; As Fig. 3;

Folding according to single-part stationery fold line and the positive broken line of multi-ply paper, parts; The folding wedge angle part of the folding triangle in the single-part stationery angle of parts is to the positive broken line part of mid point line having folded, the folding triangle of insertion during for component combination; Interlayer opening forms folding interlayer opening; As Fig. 4;

By a folding interlayer opening of a folding triangle insertion parts 2 of insertion of parts 1, the folding interlayer opening of two parts is overlapped; As Fig. 5;

Peg graft in this way, by a folding interlayer opening of the folding triangle insertion parts 3 of 2 one untapped insertions of parts; By a folding interlayer opening of the folding triangle insertion parts 4 of a untapped insertion of parts 3, peg graft in this way again, parts 4 insertion parts 5, a untapped folding interlayer opening of parts 5 insertion parts 1, forms a concavity pentagon; As Fig. 6;

Peg graft into second concavity pentagon by two parts on limit of concavity pentagon with another three parts; Peg graft in this way, 20 parts can be pegged graft into 12 the pentagonal combination concavity of concavity solid figures; As Fig. 7.

Claims (1)

1. a combination concavity solid figure, is characterized in that: combination concavity solid figure is by parts 1, parts 2 ... totally 20 same parts of parts 20 combine;

Get equilateral triangle paper, do the angular bisector index line at three angles, three angular bisector index lines intersect in triangle paper central point, and every angular bisector index line and opposite side are vertically intersected on opposite side mid point; Three opposite side mid points are connected to the positive broken line of mid point line between two; At the positive broken line paper of mid point line angle, one side is done the parallel lines fold line parallel with the positive broken line of mid point line, is vertically intersected on fold line intersection point with angular bisector index line; Fold line intersection point to the distance of triangle center point equates with fold line intersection point to the distance of paper angular vertex;

Be affixed according to the positive broken line of mid point line and parallel lines fold line are folding, the folded part that is folded to paper center laminates along a clockwise, a regular hexagon shape; Three angles of regular hexagon are the single-part stationery angle that has angular bisector index line, and another three angles are the multi-ply paper angle without angular bisector index line; Single-part stationery angle and interval each other, multi-ply paper angle; The diagonal angle at single-part stationery angle is multi-ply paper angle; On the diagonal of regular hexagon, taking triangle paper central point as boundary, triangle paper central point does the positive broken line of single-part stationery to the diagonal of single-part stationery angular vertex part, and triangle paper central point to the diagonal of multi-ply paper angular vertex part does multi-ply paper fold line;

Regular hexagon is turned over to 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 the positive broken line of multi-ply paper; In single-part stationery angle part, the positive broken line of mid point line intersecting vertically with single-part stationery fold line is inserted into the interlayer opening of part while being combination;

Folding according to single-part stationery fold line and the positive broken line of multi-ply paper, parts; The folding wedge angle part of the folding triangle in the single-part stationery angle of parts is to the positive broken line part of mid point line having folded, the folding triangle of insertion during for component combination; Interlayer opening forms folding interlayer opening;

By a folding interlayer opening of a folding triangle insertion parts 2 of insertion of parts 1, the folding interlayer opening of two parts is overlapped;

Peg graft in this way, by a folding interlayer opening of the folding triangle insertion parts 3 of 2 one untapped insertions of parts; By a folding interlayer opening of the folding triangle insertion parts 4 of a untapped insertion of parts 3, peg graft in this way again, parts 4 insertion parts 5, a untapped folding interlayer opening of parts 5 insertion parts 1, forms a concavity pentagon;

Peg graft into second concavity pentagon by two parts on limit of concavity pentagon with another three parts; Peg graft in this way, 20 parts can be pegged graft into 12 the pentagonal combination concavity of concavity solids.