CN103847137B - The making method of a kind of positive tetrahedron - Google Patents

Abstract

The making method of a kind of positive tetrahedron, it relates to the making method of a kind of paper utensil. Positive tetrahedron is become by four same components grafting; Each assembly is become by A part B component combination; A parts and B parts overlap are folded into congruent triangles; It take central point as the cubes that three planes on summit are 60 degree of angles that refolding becomes, and three little trilaterals of A form rugosities, form the folding insertion angle that two planes are 30 degree of angles, and A common edge forms the assembly folding and being inserted into interlayer opening; The folding insertion angle of an assembly is inserted the folding of another assembly is inserted in interlayer opening, namely completes the folding grafting being inserted into interlayer opening of one of an assembly folding insertion angle and another assembly, and two assemblies can grafting each other; Four assembly grafting mutually between two, namely form positive tetrahedron. Conceive new and ingenious, simplicity of design; Establishment of component specification, the grafting rule of assembly is orderly; Grafting and the positive tetrahedron that becomes is solid and be not easily out of shape.

Description

The making method of a kind of positive tetrahedron

Technical field

The present invention relates to the making method of a kind of solid, especially a kind of tetrahedral making method.

Background technology

At present, the making method of known positive tetrahedron, what have is accurate not, and what have is solid not, and what have is too complicated, and manufacture difficulty is bigger.

Summary of the invention

In order to overcome the making method of existing positive tetrahedron, what have is accurate not, and what have is solid not, and what have is too complicated, and the deficiency that manufacture difficulty is bigger, the present invention provides the making method of a kind of positive tetrahedron.

The technical solution adopted for the present invention to solve the technical problems is: positive tetrahedron is become by four same components grafting; Each assembly is become by A part B component combination; Getting equilateral triangle, an angle is downward, is A parts;

Getting and the equilateral triangle of A parts congruence, an angle upwards, is B parts;

Being placed in by B parts on A parts, overlapping portion divides formation positive hexagon, is six little equilateral triangles of congruence outside positive hexagon, i.e. three little trilaterals of A of A parts and three little trilaterals of B of B parts; The little trilateral of A and the common limit of positive hexagon are A common edge, and the little trilateral of B and the common limit of positive hexagon are B common edge; B common edge does the little trilateral fold line of B;

According to B little trilateral fold line, little for B triangle collapse is affixed, with the congruent triangles of A parts congruence; Making the folding line of vertical line by the summit at the angle of congruent triangles to opposite side, intersect at opposite side mid point with opposite side, intersect at A intersection point with A common edge, three folding lines of vertical line intersect at congruent triangles center, i.e. central point; On the folding line of vertical line, it is vertical line fold line between the summit at congruent triangles angle to central point, it is the positive broken line of vertical line between central point to opposite side mid point; Taking central point as basic point, vertical line fold line is pointer, and the angle formed by vertical line fold line and the counterclockwise nearest positive broken line of vertical line does angular bisector fold line, crossing with A common edge end points;

Fold be affixed according to vertical line fold line, the positive broken line of vertical line, angular bisector fold line, take central point as the cubes that three planes on summit are 60 degree of angles, three little trilaterals of A form rugosity, forming the folding insertion angle that two planes are 30 degree of angles after folding, A common edge is formed to fold and is inserted into interlayer opening; An assembly completes;

The folding insertion angle of an assembly is inserted the folding of another assembly is inserted in interlayer opening, namely completes a folding insertion angle of an assembly and the folding grafting being inserted into interlayer opening of another assembly; Four assembly grafting mutually between two, namely form the preliminary shape of positive tetrahedron;

Four assemblies are grafting mutually between two, coincide docking until plug two assemblies folding is inserted into interlayer opening, positive tetrahedron.

The invention has the beneficial effects as follows, conceive new and ingenious, simplicity of design; Establishment of component specification, the grafting rule of assembly is orderly; Grafting and the positive tetrahedron that becomes is solid and be not easily out of shape.

Accompanying drawing explanation

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

Fig. 1 is A parts orthographic plan;

Fig. 2 is B parts orthographic plan;

B parts are placed on A parts by Fig. 3, and overlapping portion divides formation just hexagonal orthographic plan;

Fig. 4 is congruent triangles orthographic plan;

Fig. 5 is assembly stereographic map;

Fig. 6 is four modular connector schematic diagram;

Fig. 7 is positive tetrahedron stereographic map.

Embodiment

Positive tetrahedron is become by four same components grafting; Each assembly is become by A part B component combination; Adopting dotted line to represent the positive broken line of front doubling, solid line adds the fold line that circle represents reverse side doubling;

Getting equilateral triangle, an angle is downward, is A parts; Such as Fig. 1;

Getting and the equilateral triangle of A parts congruence, an angle upwards, is B parts; Such as Fig. 2;

Being placed in by B parts on A parts, overlapping portion divides formation positive hexagon, is six little equilateral triangles of congruence outside positive hexagon, i.e. three little trilaterals of A of A parts and three little trilaterals of B of B parts; The little trilateral of A and the common limit of positive hexagon are A common edge, and the little trilateral of B and the common limit of positive hexagon are B common edge; B common edge does the little trilateral fold line of B; Such as Fig. 3;

According to B little trilateral fold line, little for B triangle collapse is affixed, with the congruent triangles of A parts congruence; Making the folding line of vertical line by the summit at the angle of congruent triangles to opposite side, intersect at opposite side mid point with opposite side, intersect at A intersection point with A common edge, three folding lines of vertical line intersect at congruent triangles center, i.e. central point; On the folding line of vertical line, it is vertical line fold line between the summit at congruent triangles angle to central point, it is the positive broken line of vertical line between central point to opposite side mid point; Taking central point as basic point, vertical line fold line is pointer, and the angle formed by vertical line fold line and the counterclockwise nearest positive broken line of vertical line does angular bisector fold line, crossing with A common edge end points; Such as Fig. 4;

Fold be affixed according to vertical line fold line, the positive broken line of vertical line, angular bisector fold line, take central point as the cubes that three planes on summit are 60 degree of angles, three little trilaterals of A form rugosity, forming the folding insertion angle that two planes are 30 degree of angles after folding, A common edge is formed to fold and is inserted into interlayer opening; An assembly completes; Such as Fig. 5;

The folding insertion angle of an assembly is inserted the folding of another assembly is inserted in interlayer opening, namely completes the folding grafting being inserted into interlayer opening of one of an assembly folding insertion angle and another assembly, and two assemblies can grafting each other; Four assembly grafting mutually between two, namely form the preliminary shape of positive tetrahedron; Such as Fig. 6;

Four assemblies are grafting mutually between two, coincide docking until plug two assemblies folding is inserted into interlayer opening, positive tetrahedron; Such as Fig. 7.

Claims (1)

1. a making method for positive tetrahedron, is characterized in that: positive tetrahedron is become by four same components grafting; Each assembly is become by A part B component combination; Getting equilateral triangle, an angle is downward, is A parts;

Getting and the equilateral triangle of A parts congruence, an angle upwards, is B parts;

Being placed in by B parts on A parts, overlapping portion divides formation positive hexagon, is six little equilateral triangles of congruence outside positive hexagon, i.e. three little trilaterals of A of A parts and three little trilaterals of B of B parts; The little trilateral of A and the common limit of positive hexagon are A common edge, and the little trilateral of B and the common limit of positive hexagon are B common edge; B common edge does the little trilateral fold line of B;

According to B little trilateral fold line, little for B triangle collapse is affixed, with the congruent triangles of A parts congruence; Making the folding line of vertical line by the summit at the angle of congruent triangles to opposite side, intersect at opposite side mid point with opposite side, intersect at A intersection point with A common edge, three folding lines of vertical line intersect at congruent triangles center, i.e. central point; On the folding line of vertical line, it is vertical line fold line between the summit at congruent triangles angle to central point, it is the positive broken line of vertical line between central point to opposite side mid point; Taking central point as basic point, vertical line fold line is pointer, and the angle formed by vertical line fold line and the counterclockwise nearest positive broken line of vertical line does angular bisector fold line, crossing with A common edge end points;

Fold be affixed according to vertical line fold line, the positive broken line of vertical line, angular bisector fold line, take central point as the cubes that three planes on summit are 60 degree of angles, three little trilaterals of A form rugosity, forming the folding insertion angle that two planes are 30 degree of angles after folding, A common edge is formed to fold and is inserted into interlayer opening; An assembly completes;

The folding insertion angle of an assembly is inserted the folding of another assembly is inserted in interlayer opening, namely completes a folding insertion angle of an assembly and the folding grafting being inserted into interlayer opening of another assembly; Four assembly grafting mutually between two, namely form the preliminary shape of positive tetrahedron;

Four assemblies are grafting mutually between two, coincide docking until plug two assemblies folding is inserted into interlayer opening, positive tetrahedron.