CN103895262A - 30-degree-angle regular triangular pyramid combined ball - Google Patents

Abstract

The invention provides a 30-degree-angle regular triangular pyramid combined ball, and relates to a manufacturing method for a combined ball body. The 30-degree-angle regular triangular pyramid combined ball is combined by 30 identical components including a component 1, a component 2, a component 3, a component 4, a component 5, a component 6, a component 7, a component 8, a component 9, a component 10, a component 11, a component 12, a component 13, a component 14, a component 15, a component 16, a component 17, a component 18, a component 19, a component 20, a component 21, a component 22, a component 23, a component 24, a component 25, a component 26, a component 27, a component 28, a component 29 and a component 30. The manufacturing method for the combined ball comprises the following steps of folding rectangular paper with the width-to-length ratio of 5:4 into small rectangles with superposed middles; folding the rectangles into components with middle diagonal lines, long reverse folding lines and short reverse folding lines; dividing each component into an inserting portion and an inserted portion by using an angular bisector; inserting the inserting portion of the component 1 into an inserted opening of the component 2, and then inserting the component 2 in the component 3 and inserting the component 3 in the component 1 in the same manner so as to complete inserted connection of a regular triangular pyramid; performing inserted connection in the same manner under the condition that five regular triangular pyramids are arranged into a group, namely a pentagon group, and the regular triangular pyramids belong to the three pentagon groups; and forming a sphere with the 20 regular triangular pyramids, namely the 30-degree-angle regular triangular pyramid combined ball, in an inserted connection manner.. The 30-degree-angle regular triangular pyramid combined ball is skillful and simple in design and attractive and firm in appearance; and the components are manufactured easily and are in inserted connection conveniently and regularly.

Description

The 30 positive triangular pyramid combination in degree angle balls

Technical field

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

Background technology

At present, in the majority as 90 degree, 60 degree that the angle of taper of known positive triangular pyramid combination ball is large, 30 degree less; Angle of taper is little, and combine again solid firmly still less.

Summary of the invention

In order to overcome in the majority as 90 degree, 60 degree that the angle of taper of existing positive triangular pyramid combination ball is large, 30 degree less; Angle of taper is little, and combines again solid firmly deficiency still less, the invention provides a kind of 30 positive triangular pyramids combination in degree angle balls.

The technical solution adopted for the present invention to solve the technical problems is: 30 degree angle positive triangular pyramid combination balls are by parts 1, parts 2 ... totally 30 same parts of parts 30 combine;

Get lengthwise horizontal stroke wide, the rectangular paper that Aspect Ratio is 5: 4, does the longitudinally positive broken line in two left sides vertical with the upper and lower trimming of rectangular paper and right longitudinally positive broken line, and two longitudinally positive broken lines divide rectangular paper for the congruent little rectangle in three of left, center, right equally; In left side, little rectangle does the positive broken line of left diagonal in the upper left corner and the lower right corner, and on right side, little rectangle does the positive broken line of right diagonal in the upper left corner and the lower right corner;

According to the positive broken line of diagonal, the lower left corner of rectangular paper and the upper right corner are folded to paper center, cover the part on left longitudinally positive broken line and right longitudinally positive broken line, still make fold line according to left longitudinally positive broken line and right longitudinally positive broken line, left longitudinally positive broken line and right longitudinally positive broken line are changed to respectively the positive broken line of left longitudinal overlap and the positive broken line of right longitudinal overlap;

According to the positive broken line of left longitudinal overlap and the positive broken line of right longitudinal overlap, will still be folded to the little rectangle in middle part in the part of left and right little rectangle position, form the little rectangle of middle part coincidence; The positive broken line of the positive broken line of left diagonal and right diagonal overlaps, and becomes the diagonal in the coincidence little rectangle upper right corner, middle part and the lower left corner, i.e. middle part diagonal; At middle part, cornerwise mid point does the positive broken line of the vertical line vertical with middle part diagonal, and the left side of the little rectangle that overlaps with middle part intersects at left intersection point, intersects at right intersection point with the right; Between middle part overlaps the upper right corner and left intersection point of little rectangle, between the lower left corner and right intersection point, do line fold line, i.e. long fold line; Overlap at the middle part horizontal minor face of little rectangle and the angle of long fold line does angular bisector fold line, i.e. short fold line; The crossing summit of long fold line and short fold line is crossing summit; The right angle that intersects summit is divided into three 30 degree angles by long fold line and short fold line;

Folding according to the positive broken line of vertical line, long fold line and short fold line, the parts of three-dimensional shape; Angle in short fold line and long fold line does angular bisector index line; Angular bisector index line to the middle part insertion portion that the horizontal short side part of little rectangle is parts that overlaps, angular bisector index line to the middle part part that is inserted into that the positive broken line part of little rectangle vertical line is parts that overlaps, what diagonal place, middle part was parts is inserted into opening;

Be inserted into opening by one of an insertion portion insertion parts 2 of parts 1, the short fold line of parts 1 overlaps with the long fold line of parts 2, and the crossing summit of insertion portion and the crossing summit that is inserted into part overlap;

Peg graft in this way, one of insertion portion insertion parts 3 that part is adjacent of being inserted into of parts 2 is inserted into opening, the adjacent opening that is inserted into that is inserted into part of the insertion portion that is inserted into the insertion portion insertion parts 1 that part is adjacent of parts 3, completes the grafting of a positive triangular pyramid;

The part of not pegging graft of having pegged graft into a positive triangular pyramid continues to peg graft with parts 4, parts 5, second the positive triangular pyramid of pegging graft out; Peg graft in this way, five positive triangular pyramids are one group of i.e. five jiaos of group, each positive triangular pyramid is in three five jiaos of groups, pegs graft in this way, pegs graft into the sphere body of 20 positive triangular pyramids, i.e. the 30 positive triangular pyramid combination in degree angle balls.

The invention has the beneficial effects as follows, design adroit simply, parts are made easily, and the convenient rule of pegging graft is handsome in appearance solid.

Accompanying drawing explanation

Fig. 1 is the rectangular paper plane that is decorated with fold line;

Fig. 2 is the plane that the lower left corner of rectangular paper and the upper right corner is folded to paper center;

Fig. 3 is the little rectangle plane figure of middle part coincidence;

Fig. 4 is parts stereograms;

Fig. 5 is the stereogram that is inserted into opening by of an insertion portion insertion parts 2 of parts 1;

Fig. 6 has been the stereogram of the grafting of a positive triangular pyramid;

Fig. 7 is the 30 positive triangular pyramid combination in degree angle ball stereograms.

The specific embodiment

30 degree angle positive triangular pyramid combination balls are by parts 1, parts 2 ... totally 30 same parts of parts 30 combine; Adopt the positive broken line that dots positive doubling, solid line adds the fold line that circle represents reverse side doubling, the solid line expression index line of adding some points;

Get lengthwise horizontal stroke wide, the rectangular paper that Aspect Ratio is 5: 4, does the longitudinally positive broken line in two left sides vertical with the upper and lower trimming of rectangular paper and right longitudinally positive broken line, and two longitudinally positive broken lines divide rectangular paper for the congruent little rectangle in three of left, center, right equally; In left side, little rectangle does the positive broken line of left diagonal in the upper left corner and the lower right corner, and on right side, little rectangle does the positive broken line of right diagonal in the upper left corner and the lower right corner; As Fig. 1;

According to the positive broken line of diagonal, the lower left corner of rectangular paper and the upper right corner are folded to paper center, cover the part on left longitudinally positive broken line and right longitudinally positive broken line, still make fold line according to left longitudinally positive broken line and right longitudinally positive broken line, left longitudinally positive broken line and right longitudinally positive broken line are changed to respectively the positive broken line of left longitudinal overlap and the positive broken line of right longitudinal overlap; As Fig. 2;

According to the positive broken line of left longitudinal overlap and the positive broken line of right longitudinal overlap, will still be folded to the little rectangle in middle part in the part of left and right little rectangle position, form the little rectangle of middle part coincidence; The positive broken line of the positive broken line of left diagonal and right diagonal overlaps, and becomes the diagonal in the coincidence little rectangle upper right corner, middle part and the lower left corner, i.e. middle part diagonal; At middle part, cornerwise mid point does the positive broken line of the vertical line vertical with middle part diagonal, and the left side of the little rectangle that overlaps with middle part intersects at left intersection point, intersects at right intersection point with the right; Between middle part overlaps the upper right corner and left intersection point of little rectangle, between the lower left corner and right intersection point, do line fold line, i.e. long fold line; Overlap at the middle part horizontal minor face of little rectangle and the angle of long fold line does angular bisector fold line, i.e. short fold line; The crossing summit of long fold line and short fold line is crossing summit; The right angle that intersects summit is divided into three 30 degree angles by long fold line and short fold line; As Fig. 3;

Folding according to the positive broken line of vertical line, long fold line and short fold line, the parts of three-dimensional shape; Angle in short fold line and long fold line does angular bisector index line; The angular bisector index line that done for convenience of explanation can not do, self-assembling formation while pegging graft combination; Angular bisector index line to the middle part insertion portion that the horizontal short side part of little rectangle is parts that overlaps, angular bisector index line to the middle part part that is inserted into that the positive broken line part of little rectangle vertical line is parts that overlaps, what diagonal place, middle part was parts is inserted into opening; As Fig. 4;

Be inserted into opening by one of an insertion portion insertion parts 2 of parts 1, the short fold line of parts 1 overlaps with the long fold line of parts 2, and the crossing summit of insertion portion and the crossing summit that is inserted into part overlap; As Fig. 5;

Peg graft in this way, one of insertion portion insertion parts 3 that part is adjacent of being inserted into of parts 2 is inserted into opening, the adjacent opening that is inserted into that is inserted into part of the insertion portion that is inserted into the insertion portion insertion parts 1 that part is adjacent of parts 3, completes the grafting of a positive triangular pyramid; As Fig. 6; For ease of pegging graft, can start being inserted into opening part, after grafting, restore again;

The part of not pegging graft of having pegged graft into a positive triangular pyramid continues to peg graft with parts 4, parts 5, second the positive triangular pyramid of pegging graft out; Peg graft in this way, five positive triangular pyramids are one group of i.e. five jiaos of group, each positive triangular pyramid is in three five jiaos of groups, pegs graft in this way, pegs graft into the sphere body of 20 positive triangular pyramids, i.e. the 30 positive triangular pyramid combination in degree angle balls; As Fig. 7.

Claims (1)

1. the 30 positive triangular pyramid combination in degree angle balls, is characterized in that: 30 degree angle positive triangular pyramid combination balls are by parts 1, parts 2 ... totally 30 same parts of parts 30 combine;

Get lengthwise horizontal stroke wide, the rectangular paper that Aspect Ratio is 5: 4, does the longitudinally positive broken line in two left sides vertical with the upper and lower trimming of rectangular paper and right longitudinally positive broken line, and two longitudinally positive broken lines divide rectangular paper for the congruent little rectangle in three of left, center, right equally; In left side, little rectangle does the positive broken line of left diagonal in the upper left corner and the lower right corner, and on right side, little rectangle does the positive broken line of right diagonal in the upper left corner and the lower right corner;

According to the positive broken line of diagonal, the lower left corner of rectangular paper and the upper right corner are folded to paper center, cover the part on left longitudinally positive broken line and right longitudinally positive broken line, still make fold line according to left longitudinally positive broken line and right longitudinally positive broken line, left longitudinally positive broken line and right longitudinally positive broken line are changed to respectively the positive broken line of left longitudinal overlap and the positive broken line of right longitudinal overlap;

According to the positive broken line of left longitudinal overlap and the positive broken line of right longitudinal overlap, will still be folded to the little rectangle in middle part in the part of left and right little rectangle position, form the little rectangle of middle part coincidence; The positive broken line of the positive broken line of left diagonal and right diagonal overlaps, and becomes the diagonal in the coincidence little rectangle upper right corner, middle part and the lower left corner, i.e. middle part diagonal; At middle part, cornerwise mid point does the positive broken line of the vertical line vertical with middle part diagonal, and the left side of the little rectangle that overlaps with middle part intersects at left intersection point, intersects at right intersection point with the right; Between middle part overlaps the upper right corner and left intersection point of little rectangle, between the lower left corner and right intersection point, do line fold line, i.e. long fold line; Overlap at the middle part horizontal minor face of little rectangle and the angle of long fold line does angular bisector fold line, i.e. short fold line; The crossing summit of long fold line and short fold line is crossing summit; The right angle that intersects summit is divided into three 30 degree angles by long fold line and short fold line;

Folding according to the positive broken line of vertical line, long fold line and short fold line, the parts of three-dimensional shape; Angle in short fold line and long fold line does angular bisector index line; Angular bisector index line to the middle part insertion portion that the horizontal short side part of little rectangle is parts that overlaps, angular bisector index line to the middle part part that is inserted into that the positive broken line part of little rectangle vertical line is parts that overlaps, what diagonal place, middle part was parts is inserted into opening;

Be inserted into opening by one of an insertion portion insertion parts 2 of parts 1, the short fold line of parts 1 overlaps with the long fold line of parts 2, and the crossing summit of insertion portion and the crossing summit that is inserted into part overlap;

Peg graft in this way, one of insertion portion insertion parts 3 that part is adjacent of being inserted into of parts 2 is inserted into opening, the adjacent opening that is inserted into that is inserted into part of the insertion portion that is inserted into the insertion portion insertion parts 1 that part is adjacent of parts 3, completes the grafting of a positive triangular pyramid;

The part of not pegging graft of having pegged graft into a positive triangular pyramid continues to peg graft with parts 4, parts 5, second the positive triangular pyramid of pegging graft out; Peg graft in this way, five positive triangular pyramids are one group of i.e. five jiaos of group, each positive triangular pyramid is in three five jiaos of groups, pegs graft in this way, pegs graft into the sphere body of 20 positive triangular pyramids, i.e. the 30 positive triangular pyramid combination in degree angle balls.

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