CN103895260B - 30 degree of positive triangular pyramid grafting balls in angle - Google Patents

30 degree of positive triangular pyramid grafting balls in angle Download PDF

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Publication number
CN103895260B
CN103895260B CN201410103932.9A CN201410103932A CN103895260B CN 103895260 B CN103895260 B CN 103895260B CN 201410103932 A CN201410103932 A CN 201410103932A CN 103895260 B CN103895260 B CN 103895260B
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parts
grafting
fold line
line
positive
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CN103895260A (en
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李平
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Jiaxing Sheng Yuan industrial designs Co.,Ltd.
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徐海燕
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Abstract

A kind of 30 degree of positive triangular pyramid grafting balls in angle, relate to the manufacture method of a kind of spheroid.30 degree of positive triangular pyramid grafting balls in angle are by parts 1, parts 2 ... parts 30 totally 30 same parts grafting form;Taking vertical width of growing crosswise, Aspect Ratio is 1: 0.5359, namely the rectangular paper of 1.866: 1, makes coincidence rectangle with dissection;It is formed with the parts of the positive broken line of vertical line, long fold line and short fold line again;One that parts 1 insertion portion inserts parts 2 is inserted into opening, and parts 2 insert parts 3, and parts 3 insert parts 1, namely complete the grafting of a positive triangular pyramid;Five positive triangular pyramids are one group namely five jiao groups, and each positive triangular pyramid is in three five jiaos of groups, grafting in this way, and namely grafting becomes to have the positive round spheroid of 20 positive triangular pyramids, i.e. 30 degree of positive triangular pyramid grafting balls in angle.Novel in design unique, parts make easily, and grafting is simple and convenient, and moulding has a distinctive style, unusual attractive in appearance.

Description

30 degree of positive triangular pyramid grafting balls in angle
Technical field
The present invention relates to the manufacture method of a kind of solid figure, the manufacture method of especially a kind of spheroid.
Background technology
At present, the cone angle of known positive triangular pyramid grafting ball has an angle of 90 degrees, has 60 degree of angles, the grafting spheroid of rare 30 degree of angle triangular pyramids.
Summary of the invention
In order to overcome the cone angle of existing positive triangular pyramid grafting ball to have an angle of 90 degrees, having 60 degree of angles, the deficiency of the grafting spheroid of rare 30 degree of angle triangular pyramids, the present invention provides the manufacture method of the positive triangular pyramid grafting ball in a kind of 30 degree of angles.
The technical solution adopted for the present invention to solve the technical problems is: 30 degree of positive triangular pyramid grafting balls in angle are by parts one, parts two ... parts 30 totally 30 same parts grafting form;
Take vertical width of growing crosswise, Aspect Ratio is 1:0.5359, namely the rectangular paper of 1.866:1, makees two transverse normal fold lines parallel with the upper and lower trimming of rectangular paper, the distance on the upper supreme trimming of transverse normal fold line and lower transverse normal fold line are equal to the distance on lower trimming, be two transverse normal fold lines spacing 1/2;
According to two transverse normal fold lines, being folded to centre upper and lower, upper trimming and lower trimming overlap as coincidence line, coincidence rectangle with dissection;Between the upper left corner and the lower right corner of coincidence rectangle, do diagonal, do the positive broken line of cornerwise vertical line at cornerwise midpoint, intersect at upper intersection point with the top of the rectangle that overlaps, with the rectangle that overlaps intersect at lower intersection point below;Between the upper left corner and lower intersection point, between the lower right corner and upper intersection point, do long fold line respectively;Angle in long fold line with the rectangle longitudinal edge that overlaps does angular bisector fold line, i.e. short fold line;The summit that long fold line and short fold line intersect is intersection vertex;The right angle of intersection vertex is divided into three 30 degree of angles by long fold line and short fold line;
According to short fold line, short fold line, the longitudinal edge of coincidence rectangle and coincidence line the little triangle in top layer formed is folded in the interlayer of coincidence rectangle;
Folding according to the positive broken line of vertical line, long fold line and short fold line, the parts of three-dimensional shape;With short fold line for boundary, short fold line is the insertion portion of parts to coincidence rectangle longitudinal edge part, and short fold line is the inserted part of parts to the positive broken line part of coincidence rectangular vertical line, coincidence line place be parts be inserted into opening;
One that parts one insertion portion inserts parts two is inserted into opening, and the short fold line of parts one overlaps with the long fold line of parts two, and the intersection vertex of insertion portion and the intersection vertex of inserted part overlap;
Grafting in this way, the insertion portion insertion parts 31 that the inserted part of parts two is adjacent are inserted into opening, what the insertion portion that the inserted part of parts three is adjacent inserted the adjacent inserted part of the insertion portion of parts one is inserted into opening, namely completes the grafting of a positive triangular pyramid;
Grafting becomes a non-grafting part of a positive triangular pyramid and parts four, parts five to continue grafting, and namely grafting goes out second positive triangular pyramid;Grafting in this way, five positive triangular pyramids are one group namely five jiao groups, and each positive triangular pyramid is in three five jiaos of groups, grafting in this way, and namely grafting becomes to have the positive round spheroid of 20 positive triangular pyramids, i.e. 30 degree of positive triangular pyramid grafting balls in angle.
The invention has the beneficial effects as follows, novel in design unique, parts make easily, and grafting is simple and convenient, and moulding has a distinctive style, unusual attractive in appearance.
Accompanying drawing explanation
Below in conjunction with drawings and Examples, the present invention is further described.
Fig. 1 is the rectangular paper plane graph being decorated with transverse normal fold line;
Fig. 2 is coincidence rectangle plane figure;
Fig. 3 is the plane graph that the little triangle in top layer folds in the interlayer of coincidence rectangle;
Fig. 4 is exploded view;
Fig. 5 is the axonometric chart of the inserted part of the insertion portion insertion parts two of parts one;
Fig. 6 is the axonometric chart that a positive triangular pyramid grafting completes;
Fig. 7 is 30 degree of angle positive triangular pyramid grafting ball axonometric charts.
Detailed description of the invention
30 degree of positive triangular pyramid grafting balls in angle are by parts one, parts two ... parts 30 totally 30 same parts grafting form;Adopting the positive broken line that front doubling is represented by dashed line, solid line adds circle and represents the fold line of reverse side doubling, and solid line is added some points and represented the indicatrix of non-collapsible line;
Take vertical width of growing crosswise, Aspect Ratio is 1:0.5359, namely the rectangular paper of 1.866:1, makees two transverse normal fold lines parallel with the upper and lower trimming of rectangular paper, the distance on the upper supreme trimming of transverse normal fold line and lower transverse normal fold line are equal to the distance on lower trimming, be two transverse normal fold lines spacing 1/2;Such as Fig. 1;
According to two transverse normal fold lines, being folded to centre upper and lower, upper trimming and lower trimming overlap as coincidence line, coincidence rectangle with dissection;Between the upper left corner and the lower right corner of coincidence rectangle, do diagonal, do the positive broken line of cornerwise vertical line at cornerwise midpoint, intersect at upper intersection point with the top of the rectangle that overlaps, with the rectangle that overlaps intersect at lower intersection point below;Between the upper left corner and lower intersection point, between the lower right corner and upper intersection point, do long fold line respectively;Angle in long fold line with the rectangle longitudinal edge that overlaps does angular bisector fold line, i.e. short fold line;The summit that long fold line and short fold line intersect is intersection vertex;The right angle of intersection vertex is divided into three 30 degree of angles by long fold line and short fold line;Such as Fig. 2;
According to short fold line, short fold line, the longitudinal edge of coincidence rectangle and coincidence line the little triangle in top layer formed is folded in the interlayer of coincidence rectangle;Such 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;With short fold line for boundary, short fold line is the insertion portion of parts to coincidence rectangle longitudinal edge part, and short fold line is the inserted part of parts to the positive broken line part of coincidence rectangular vertical line, coincidence line place be parts be inserted into opening;Such as Fig. 4;
One that parts one insertion portion inserts parts two is inserted into opening, and the short fold line of parts one overlaps with the long fold line of parts two, and the intersection vertex of insertion portion and the intersection vertex of inserted part overlap;Such as Fig. 5;
Grafting in this way, the insertion portion insertion parts 31 that the inserted part of parts two is adjacent are inserted into opening, what the insertion portion that the inserted part of parts three is adjacent inserted the adjacent inserted part of the insertion portion of parts one is inserted into opening, namely completes the grafting of a positive triangular pyramid;Such as Fig. 6;
Grafting becomes a non-grafting part of a positive triangular pyramid and parts four, parts five to continue grafting, and namely grafting goes out second positive triangular pyramid;Grafting in this way, five positive triangular pyramids are one group namely five jiao groups, and each positive triangular pyramid is in three five jiaos of groups, grafting in this way, and namely grafting becomes to have the positive round spheroid of 20 positive triangular pyramids, i.e. 30 degree of positive triangular pyramid grafting balls in angle;Such as Fig. 7.

Claims (1)

1. 30 degree of positive triangular pyramid grafting balls in angle, is characterized in that: 30 degree of positive triangular pyramid grafting balls in angle are by parts one, parts two ... parts 30 totally 30 same parts grafting form;
Take vertical width of growing crosswise, Aspect Ratio is 1:0.5359, namely the rectangular paper of 1.866:1, makees two transverse normal fold lines parallel with the upper and lower trimming of rectangular paper, the distance on the upper supreme trimming of transverse normal fold line and lower transverse normal fold line are equal to the distance on lower trimming, be two transverse normal fold lines spacing 1/2;
According to two transverse normal fold lines, being folded to centre upper and lower, upper trimming and lower trimming overlap as coincidence line, coincidence rectangle with dissection;Between the upper left corner and the lower right corner of coincidence rectangle, do diagonal, do the positive broken line of cornerwise vertical line at cornerwise midpoint, intersect at upper intersection point with the top of the rectangle that overlaps, with the rectangle that overlaps intersect at lower intersection point below;Between the upper left corner and lower intersection point, between the lower right corner and upper intersection point, do long fold line respectively;Angle in long fold line with the rectangle longitudinal edge that overlaps does angular bisector fold line, i.e. short fold line;The summit that long fold line and short fold line intersect is intersection vertex;The right angle of intersection vertex is divided into three 30 degree of angles by long fold line and short fold line;
According to short fold line, short fold line, the longitudinal edge of coincidence rectangle and coincidence line the little triangle in top layer formed is folded in the interlayer of coincidence rectangle;
Folding according to the positive broken line of vertical line, long fold line and short fold line, the parts of three-dimensional shape;With short fold line for boundary, short fold line is the insertion portion of parts to coincidence rectangle longitudinal edge part, and short fold line is the inserted part of parts to the positive broken line part of coincidence rectangular vertical line, coincidence line place be parts be inserted into opening;
One that parts one insertion portion inserts parts two is inserted into opening, and the short fold line of parts one overlaps with the long fold line of parts two, and the intersection vertex of insertion portion and the intersection vertex of inserted part overlap;
Grafting in this way, the insertion portion insertion parts 31 that the inserted part of parts two is adjacent are inserted into opening, what the insertion portion that the inserted part of parts three is adjacent inserted the adjacent inserted part of the insertion portion of parts one is inserted into opening, namely completes the grafting of a positive triangular pyramid;
Grafting becomes a non-grafting part of a positive triangular pyramid and parts four, parts five to continue grafting, and namely grafting goes out second positive triangular pyramid;Grafting in this way, five positive triangular pyramids are one group namely five jiao groups, and each positive triangular pyramid is in three five jiaos of groups, grafting in this way, and namely grafting becomes to have the positive round spheroid of 20 positive triangular pyramids, i.e. 30 degree of positive triangular pyramid grafting balls in angle.
CN201410103932.9A 2014-03-12 2014-03-12 30 degree of positive triangular pyramid grafting balls in angle Active CN103895260B (en)

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104097352A (en) * 2014-06-24 2014-10-15 李平 30-degree regularly-triangular pyramid combination ball

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101746079A (en) * 2010-02-11 2010-06-23 李平 Method for making alternate polygonal paper box
CN201961608U (en) * 2011-03-15 2011-09-07 李平 Dual spliced carton
CN202010438U (en) * 2011-03-03 2011-10-19 李平 Parallelogram inserting slice
CN103522599A (en) * 2013-10-19 2014-01-22 李平 Method of folding 45-degree acutely angled diamond insert
CN103552286A (en) * 2013-10-19 2014-02-05 李伯姗 Method for folding parallelogram plug-in unit

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101746079A (en) * 2010-02-11 2010-06-23 李平 Method for making alternate polygonal paper box
CN202010438U (en) * 2011-03-03 2011-10-19 李平 Parallelogram inserting slice
CN201961608U (en) * 2011-03-15 2011-09-07 李平 Dual spliced carton
CN103522599A (en) * 2013-10-19 2014-01-22 李平 Method of folding 45-degree acutely angled diamond insert
CN103552286A (en) * 2013-10-19 2014-02-05 李伯姗 Method for folding parallelogram plug-in unit

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