WO2016116060A1

WO2016116060A1 - Cross-shaped solid shape

Info

Publication number: WO2016116060A1
Application number: PCT/CN2016/071635
Authority: WO
Inventors: 李平
Original assignee: 王能青
Priority date: 2015-01-23
Filing date: 2016-01-21
Publication date: 2016-07-28
Also published as: CN104589706A

Abstract

Disclosed is a cross-shaped solid shape, which relates to a manufacturing method for a geometric body. The cross-shaped solid shape is formed by combining six identical components; taking a piece of square paper and folding the square paper into a folded longitudinal rectangle; then folding and deforming the shape into an octagon with an upper isosceles trapezoid, a lower isosceles trapezoid and four four-layered isosceles right-angled triangles; further folding into a component; the four-layered isosceles right-angled triangles being inserting parts when inserting the component; the openings of small squares 21, 25, 41, 45 being interlayer openings, namely, openings to be inserted when inserting the component; and respectively inserting one set of two inserting parts of a first component into two openings to be inserted of a second component, namely, achieving insertion of two components in one. In inserting like this, the six components are inserted to form the cross-shaped solid shape. The design is intriguing; the component manufacturing is regular; the component combination is simple; and the modelling is unusual and artistic.

Description

Cross three-dimensional

Technical field

The invention relates to a method for manufacturing a geometric body, in particular to a method for manufacturing a three-dimensional shape.

Background technique

At present, the well-known cross three-dimensional shape is mostly flaky, which is relatively boney and not full.

Summary of the invention

In order to overcome the disadvantage that the existing cross three-dimensional shape is mostly sheet-shaped, and the bone feeling is compared, and the fullness is not sufficient, the present invention provides a method for manufacturing a cross three-dimensional shape.

The technical solution adopted by the present invention to solve the technical problem thereof is that the cross three-dimensional shape is composed of a total of six identical components of the first component, the second component, and the component;

Take a square paper, from top to bottom, a first horizontal indicator line parallel to the upper and lower sides of the square paper, a second horizontal indicator line, a third horizontal indicator line, and a fourth horizontal indicator line, which are made from left to right and square paper a first longitudinal normal fold line, a second longitudinal indicator line, a third longitudinal indicator line, and a fourth longitudinal normal fold line parallel to the paper edge; the four transverse lines and the four longitudinal lines divide the square paper into 25 congruent small squares; 25 small squares The number is a two-digit number, the tens digit is the number of lines from top to bottom, and the single digit is the number of columns from left to right; in the 12 small square, 54 small squares do the first diagonal of the left low right height The positive fold line, in the 14 small square, 52 small squares to do the first diagonal straight line of the left high right and low right;

According to the first longitudinal normal fold line and the fourth longitudinal normal fold line, the two sides of the square paper are folded in the middle, the left longitudinal paper edge and the second longitudinal indicator line are coincident into a longitudinal coincidence line, and the right vertical paper edge coincides with the third longitudinal indicator line. For the longitudinal coincidence line, the square paper is deformed into a folded longitudinal rectangle; in the folded vertical rectangle of 11 small squares, 55 small squares make the left high right lower second diagonal positive fold line, in the folded vertical rectangle of 15 small squares, 51 small The square is the second diagonal right fold line of the left low right height; the first and fourth horizontal indicator lines of the surface layer on the folded vertical rectangle are the first and fourth surface normal fold lines, and the bottom layer is the first and fourth bottom layer reverse fold lines. The second and third horizontal indicator lines are used as the second and third horizontal reverse lines;

According to the second diagonal straight fold line, the four paper corners are folded and folded, and the 11, 15, 51, 55 small squares are deformed into double-layered isosceles right-angled triangles; the double-sided isosceles right-angled triangles are made at right angles. Reverse line

According to the first diagonal line and the angle bisector, the fold line is folded and folded, and the first and fourth longitudinal straight line portions of the belt are folded back correspondingly, and the first and fourth surface fold lines are folded by 90 degrees, and the double-layered isosceles right triangle is deformed. It is a four-layer isosceles right-angled triangle, perpendicular to the octagonal shape deformed by the folded longitudinal rectangle; two left and right four-layer isosceles right-angled triangles are the left and right two groups; the first lateral reversal line is the first part The transverse fold line is the upper isosceles trapezoid of the lower bottom, and the lower portion of the fourth lateral fold line is the lower isosceles trapezoid with the fourth lateral reverse line as the lower bottom;

According to the first, second, third and fourth horizontal fold lines, the angle is folded by 90 degrees, and the upper and lower isosceles trapezoidal fits are fitted to the isosceles trapezoid. The upper base of the upper isosceles trapezoid is coincident with the lower base of the lower isosceles trapezoid. The upper base of the isosceles trapezoid is coincident with the lower base of the upper isosceles trapezoid; the four-layer isosceles right-angled triangle is in the same plane as the fitted isosceles trapezoid; the four-layer isosceles right-angled triangle is the inserted portion when the components are inserted; 21, 25 The opening of the small square of 41, 45 is a sandwich opening, that is, the inserted opening when the component is inserted; the component is formed;

Inserting a set of two insertion parts of the component one into the two inserted openings of the component two, that is, completing one insertion of the two components;

In the case of plugging, the six components are plugged into a cross shape.

The invention has the beneficial effects that the design is wonderful; the component making rules; the component combination is simple; the shape is peculiar and beautiful.

DRAWINGS

The invention will now be further described with reference to the drawings and embodiments.

Figure 1 is a plan view of a square paper with folded lines and indicator lines;

Figure 2 is a plan view of a folded longitudinal rectangle;

Figure 3 is a plan view of a folded longitudinal rectangle after folding four paper corners;

Figure 4 is a perspective view of the folded longitudinal rectangle deformed into an octagon;

Figure 5 is a perspective view of the component;

Figure 6 is a schematic view of the plug-in of the first component and the second component;

Fig. 7 is a perspective view of a cross.

detailed description

The cross-shaped three-dimensional shape is composed of a total of six identical components of the first component, the second component, and the sixth component; the dotted line indicates the positive folding line of the front side, that is, when folded, the front and front sides of the paper are relatively folded; the solid line plus circle indicates the opposite facing folding. The reverse line, that is, when folded, the opposite side and the reverse side of the paper are relatively folded; the solid line plus dots indicate the indicator line;

Take a square paper, from top to bottom, a first horizontal indicator line parallel to the upper and lower sides of the square paper, a second horizontal indicator line, a third horizontal indicator line, and a fourth horizontal indicator line, which are made from left to right and square paper a first longitudinal normal fold line, a second longitudinal indicator line, a third longitudinal indicator line, and a fourth longitudinal normal fold line parallel to the paper edge; the four transverse lines and the four longitudinal lines divide the square paper into 25 congruent small squares; 25 small squares The number is a two-digit number, the tens digit is the number of lines from top to bottom, and the single digit is the number of columns from left to right. For example, the small square in the upper left corner of the square paper is 11 small squares, and the small square in the lower right corner is 55 small squares; in the 12 small squares, 54 small squares do the first diagonal right vertical fold line of the left low right height, in the 14 small squares, 52 small squares do the left diagonal right vertical low diagonal positive fold line; 1;

According to the first longitudinal normal fold line and the fourth longitudinal normal fold line, the two sides of the square paper are folded in the middle, the left longitudinal paper edge and the second longitudinal indicator line are coincident into a longitudinal coincidence line, and the right vertical paper edge coincides with the third longitudinal indicator line. For the longitudinal coincidence line, the square paper is deformed into a folded longitudinal rectangle; in the folded vertical rectangle of 11 small squares, 55 small squares make the left high right lower second diagonal positive fold line, in the folded vertical rectangle of 15 small squares, 51 small The square is the second diagonal right fold line of the left low right height; the first and fourth horizontal indicator lines of the surface layer on the folded vertical rectangle are the first and fourth surface normal fold lines, and the bottom layer is the first and fourth bottom layer reverse fold lines. The second and third lateral indication lines are the second and third lateral reversal lines; as shown in Fig. 2;

According to the second diagonal straight fold line, the four paper corners are folded and folded, and the 11, 15, 51, 55 small squares are deformed into double-layered isosceles right-angled triangles; the double-sided isosceles right-angled triangles are made at right angles. Reverse line; as shown in Figure 3;

According to the first diagonal line, the angle bisector is folded and attached, and the first one is The four longitudinal straight fold lines are correspondingly folded back, the first and fourth surface normal fold lines are folded by 90 degrees, and the double-layered isosceles right triangle is deformed into four layers of isosceles right triangles, perpendicular to the octagon deformed by the folded longitudinal rectangle; left and right Each of the four four-layer isosceles right triangles is a left and right two groups; the upper portion of the first lateral inversion line is an upper isosceles trapezoid with a first lateral inversion line as a lower bottom, and the fourth portion of the fourth lateral inversion line is a fourth portion. The transverse fold line is the lower isosceles trapezoid of the lower bottom; as shown in Figure 4;

According to the first, second, third and fourth horizontal fold lines, the angle is folded by 90 degrees, and the upper and lower isosceles trapezoidal fits are fitted to the isosceles trapezoid. The upper base of the upper isosceles trapezoid is coincident with the lower base of the lower isosceles trapezoid. The upper base of the isosceles trapezoid is coincident with the lower base of the upper isosceles trapezoid; the four-layer isosceles right-angled triangle is in the same plane as the fitted isosceles trapezoid; the four-layer isosceles right-angled triangle is the inserted portion when the components are inserted; 21, 25 The opening of the small square of 41, 45 is a sandwich opening, that is, the inserted opening when the component is inserted; the component is formed; as shown in FIG. 5;

Inserting a set of two inserting parts of the component 1 into the two inserted openings of the component two, that is, completing one plug of the two components; as shown in FIG. 6;

If plugged in, the six components are plugged into a cross-shaped three-dimensional shape; as shown in Figure 7.

Claims

A cross-shaped three-dimensional shape, wherein: the cross-shaped three-dimensional shape is composed of a component of the first component, two components, and six components;

Take a square paper, from top to bottom, a first horizontal indicator line parallel to the upper and lower sides of the square paper, a second horizontal indicator line, a third horizontal indicator line, and a fourth horizontal indicator line, which are made from left to right and square paper a first longitudinal normal fold line, a second longitudinal indicator line, a third longitudinal indicator line, and a fourth longitudinal normal fold line parallel to the paper edge; the four transverse lines and the four longitudinal lines divide the square paper into 25 congruent small squares; 25 small squares The number is a two-digit number, the tens digit is the number of lines from top to bottom, and the single digit is the number of columns from left to right; in the 12 small square, 54 small squares do the first diagonal of the left low right height The positive fold line, in the 14 small square, 52 small squares to do the first diagonal straight line of the left high right and low right;

According to the first longitudinal normal fold line and the fourth longitudinal normal fold line, the two sides of the square paper are folded in the middle, the left longitudinal paper edge and the second longitudinal indicator line are coincident into a longitudinal coincidence line, and the right vertical paper edge coincides with the third longitudinal indicator line. For the longitudinal coincidence line, the square paper is deformed into a folded longitudinal rectangle; in the folded vertical rectangle of 11 small squares, 55 small squares make the left high right lower second diagonal positive fold line, in the folded vertical rectangle of 15 small squares, 51 small The square is the second diagonal right fold line of the left low right height; the first and fourth horizontal indicator lines of the surface layer on the folded vertical rectangle are the first and fourth surface normal fold lines, and the bottom layer is the first and fourth bottom layer reverse fold lines. The second and third horizontal indicator lines are used as the second and third horizontal reverse lines;

According to the second diagonal straight fold line, the four paper corners are folded and folded, and the 11, 15, 51, 55 small squares are deformed into double-layered isosceles right-angled triangles; the double-sided isosceles right-angled triangles are made at right angles. Reverse line

According to the first diagonal line and the angle bisector, the fold line is folded and folded, and the first and fourth longitudinal straight line portions of the belt are folded back correspondingly, and the first and fourth surface fold lines are folded by 90 degrees, and the double-layered isosceles right triangle is deformed. It is a four-layer isosceles right-angled triangle, perpendicular to the octagonal shape deformed by the folded longitudinal rectangle; two left and right four-layer isosceles right-angled triangles are the left and right two groups; the first lateral reversal line is the first part The transverse fold line is the upper isosceles trapezoid of the lower bottom, and the lower portion of the fourth lateral fold line is the lower isosceles trapezoid with the fourth lateral reverse line as the lower bottom;

According to the first, second, third and fourth horizontal fold lines, the angle is folded by 90 degrees, and the upper and lower isosceles trapezoidal fits are fitted to the isosceles trapezoid. The upper base of the upper isosceles trapezoid is coincident with the lower base of the lower isosceles trapezoid. Isosceles trapezoidal The bottom is coincident with the lower base of the upper isosceles trapezoid; the four-layer isosceles right-angled triangle is in the same plane as the fitted isosceles trapezoid; the four-layer isosceles right-angled triangle is the insertion part when the components are inserted; 21, 25, 41, 45 are small The opening of the square is a sandwich opening, that is, the inserted opening when the component is inserted; the component is formed;

Inserting a set of two insertion parts of the component one into the two inserted openings of the component two, that is, completing one insertion of the two components;

In the case of plugging, the six components are plugged into a cross shape.