CN103847136B - A kind of geometry solid figure - Google Patents

A kind of geometry solid figure Download PDF

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Publication number
CN103847136B
CN103847136B CN201410079437.9A CN201410079437A CN103847136B CN 103847136 B CN103847136 B CN 103847136B CN 201410079437 A CN201410079437 A CN 201410079437A CN 103847136 B CN103847136 B CN 103847136B
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parts
triangle
little
assembly
triangles
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CN201410079437.9A
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CN103847136A (en
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蔡颖君
乔磊
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Shandong University of Science and Technology
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Shandong University of Science and Technology
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Abstract

A kind of geometry solid figure, relates to a kind of preparation method of paper utensil.Geometry solid figure is combined by 12 same components; Each assembly by parts 1 and parts 2 totally two component combinations form; Getting square of paper, is parts 1; Get the rectangular paper of 2: 1, fold and form parts 2; Parts 1 are placed on parts 2, are folded into congruence square, and then be folded into the assembly that the little trigonometric sum of insertion is inserted into opening; That little for the insertion of assembly triangle is inserted another assembly is inserted in the interlayer of opening, the plane of the large flat square isosceles triangle of insertion side keeps in one plane with the plane of the large flat square isosceles triangle of the side of being inserted into, 12 the pluggable Cheng Youliu of assembly plane squares, eight leg-of-mutton geometry solid figures of depression.It is adroit and simple and clear to design, and makes simple and easy; Easy to operate and quick, modern design and attractive in appearance.

Description

A kind of geometry solid figure
Technical field
The present invention relates to a kind of preparation method of geometrical body, especially a kind of preparation method of geometry solid figure.
Background technology
At present, known geometry solid figure or positive round, or square, the solid figure between positive round and pros is more rare.
Summary of the invention
In order to overcome existing geometry solid figure or positive round, or square, and the deficiency that the solid figure between positive round and pros is more rare, the invention provides a kind of geometry solid figure.
The technical solution adopted for the present invention to solve the technical problems is: geometry solid figure is combined by 12 same components; Each assembly by parts 1 and parts 2 totally two component combinations form;
Get square of paper, four paper angles are pointed to up and down, are parts 1;
Get grow crosswise vertical wide be 2: 1 rectangular paper, the length of side of the wide and parts 1 of rectangular paper is isometric; Do longitudinally positive broken line, rectangular paper being divided equally is two congruent squares;
Be affixed according to longitudinal positive folding line, form folding square, folding foursquare is enclosed edge, and other three limit is the limit having interlayer opening, i.e. opening edge, is parts 2;
Parts 1 are placed on parts 2, form polygon-octagonal; The middle part of polygon-octagonal forms octagon, and be eight congruent right angled isosceles triangles and little triangle outside octagon, four little triangles of parts 1 are the little triangles of parts 1, and four little triangles of parts 2 are the little triangles of parts 2; Base fold line is done on the little leg-of-mutton base of parts 1;
According to base fold line by little for parts 1 triangle collapse, parts 2 enclosed edge side and be affixed on the bottom surface of parts 2 mutually with the little triangle collapse of parts 1 of the opening edge side of its opposite side, other two little triangles of parts 1 fold in the interlayer of parts 2 opening edge respectively, and polygon-octagonal forms the congruence square with parts 2 congruence; Congruent square does two diagonal fold lines; Article two, diagonal fold line intersects at center intersection point; The vertical positive broken line perpendicular to parts 2 enclosed edge is done by center intersection point;
According to diagonal fold line, the positive folding line of vertical line, be not affixed, assembly, assembly is in being summit with center intersection point, having the three-dimensional shape of two large flat square isosceles triangles, four facet right angled isosceles triangles; The base of large flat square isosceles triangle is parts 2 opening edges, and the base of facet right angled isosceles triangle is that the center intersection point of diagonal fold line is to congruent one section, foursquare angle; Adjacent large flat square isosceles triangle and facet right angled isosceles triangle form folding triangle, and the little triangle of parts 2 of folding triangle forms the little triangle of rugosity, the little triangle of the insertion for assembly; The little leg-of-mutton base of parts 2 forms two Sandwich openings, namely assembly be inserted into opening;
The insertion method of two assemblies: that little for the insertion of assembly triangle is inserted another assembly is inserted in the interlayer of opening, the plane of the large flat square isosceles triangle of insertion side keeps in one plane with the plane of the large flat square isosceles triangle of the side of being inserted into, and also namely the plane of the facet right angled isosceles triangle of the side of insertion keeps in one plane with the plane of the facet right angled isosceles triangle of the side of being inserted into; Namely the opening that is inserted into inserting little triangle one side completes grafting with the opening coincidence that is inserted into being inserted into a side;
Four folding triangles of each assembly respectively with each folding triangle grafting in this way of another four assemblies; Four after grafting large flat square isosceles triangles form a square-shaped planar, and it is triangular shaped that three facet right angled isosceles triangles form a depression; 12 the pluggable Cheng Youliu of assembly plane squares, eight leg-of-mutton geometry solid figures of depression.
The invention has the beneficial effects as follows, it is adroit and simple and clear to design, and makes simple and easy; Easy to operate and quick, modern design and attractive in appearance.
Accompanying drawing explanation
Fig. 1 is parts 1 planes;
Fig. 2 be grow crosswise vertical wide be 2: 1 rectangular paper plane;
Fig. 3 is parts 2 planes;
Fig. 4 is that parts 1 are placed on parts 2, forms polygon-octagonal plane;
Fig. 5 is congruent square-shaped planar figure;
Fig. 6 is assembly stereogram;
Fig. 7 is two modular connector schematic diagrames;
Fig. 8 is geometry solid figure stereogram.
Detailed description of the invention
Geometry solid figure is combined by 12 same components; Each assembly by parts 1 and parts 2 totally two component combinations form; Adopt the positive broken line of front represented by dashed line doubling, solid line adds the fold line that circle represents reverse side doubling, and ghost line adds arrow and represents insertion line, and the dotted portion inserting line represents and inserts part in interlayer, and the bold portion inserting line represents and do not insert sandwich portion;
Get square of paper, four paper angles are pointed to up and down, are parts 1; As Fig. 1;
Get grow crosswise vertical wide be 2: 1 rectangular paper, the length of side of the wide and parts 1 of rectangular paper is isometric; Do longitudinally positive broken line, rectangular paper being divided equally is two congruent squares; As Fig. 2;
Be affixed according to longitudinal positive folding line, form folding square, folding foursquare is enclosed edge, and other three limit is the limit having interlayer opening, i.e. opening edge, is parts 2; As Fig. 3;
Parts 1 are placed on parts 2, form polygon-octagonal; The middle part of polygon-octagonal forms octagon, and be eight congruent right angled isosceles triangles and little triangle outside octagon, four little triangles of parts 1 are the little triangles of parts 1, and four little triangles of parts 2 are the little triangles of parts 2; Base fold line is done on the little leg-of-mutton base of parts 1; As Fig. 4;
According to base fold line by little for parts 1 triangle collapse, parts 2 enclosed edge side and be affixed on the bottom surface of parts 2 mutually with the little triangle collapse of parts 1 of the opening edge side of its opposite side, other two little triangles of parts 1 fold in the interlayer of parts 2 opening edge respectively, and polygon-octagonal forms the congruence square with parts 2 congruence; Congruent square does two diagonal fold lines; Article two, diagonal fold line intersects at center intersection point; The vertical positive broken line perpendicular to parts 2 enclosed edge is done by center intersection point; As Fig. 5;
According to diagonal fold line, the positive folding line of vertical line, be not affixed, assembly, assembly is in being summit with center intersection point, having the three-dimensional shape of two large flat square isosceles triangles, four facet right angled isosceles triangles; The base of large flat square isosceles triangle is parts 2 opening edges, and the base of facet right angled isosceles triangle is that the center intersection point of diagonal fold line is to congruent one section, foursquare angle; Adjacent large flat square isosceles triangle and facet right angled isosceles triangle form folding triangle, and the little triangle of parts 2 of folding triangle forms the little triangle of rugosity, the little triangle of the insertion for assembly; The little leg-of-mutton base of parts 2 forms two Sandwich openings, namely assembly be inserted into opening; As Fig. 6;
The insertion method of two assemblies: that little for the insertion of assembly triangle is inserted another assembly is inserted in the interlayer of opening, the plane of the large flat square isosceles triangle of insertion side keeps in one plane with the plane of the large flat square isosceles triangle of the side of being inserted into, and also namely the plane of the facet right angled isosceles triangle of the side of insertion keeps in one plane with the plane of the facet right angled isosceles triangle of the side of being inserted into; As Fig. 7; Namely the opening that is inserted into inserting little triangle one side completes grafting with the opening coincidence that is inserted into being inserted into a side;
Four folding triangles of each assembly respectively with each folding triangle grafting in this way of another four assemblies; Four after grafting large flat square isosceles triangles form a square-shaped planar, and three facet right angled isosceles triangles form a depression triangle; 12 the pluggable Cheng Youliu of assembly plane squares, eight leg-of-mutton geometry solid figures of depression; As Fig. 8.

Claims (1)

1. a geometry solid figure, is characterized in that: geometry solid figure is combined by 12 same components; Each assembly by parts 1 and parts 2 totally two component combinations form;
Get square of paper, four paper angles are pointed to up and down, are parts 1;
Get grow crosswise vertical wide be 2: 1 rectangular paper, the length of side of the wide and parts 1 of rectangular paper is isometric; Do longitudinally positive broken line, rectangular paper being divided equally is two congruent squares;
Be affixed according to longitudinal positive folding line, form folding square, folding foursquare is enclosed edge, and other three limit is the limit having interlayer opening, i.e. opening edge, is parts 2;
Parts 1 are placed on parts 2, form polygon-octagonal; The middle part of polygon-octagonal forms octagon, and be eight congruent right angled isosceles triangles and little triangle outside octagon, four little triangles of parts 1 are the little triangles of parts 1, and four little triangles of parts 2 are the little triangles of parts 2; Base fold line is done on the little leg-of-mutton base of parts 1;
According to base fold line by little for parts 1 triangle collapse, parts 2 enclosed edge side and be affixed on the bottom surface of parts 2 mutually with the little triangle collapse of parts 1 of the opening edge side of its opposite side, other two little triangles of parts 1 fold in the interlayer of parts 2 opening edge respectively, and polygon-octagonal forms the congruence square with parts 2 congruence; Congruent square does two diagonal fold lines; Article two, diagonal fold line intersects at center intersection point; The vertical positive broken line perpendicular to parts 2 enclosed edge is done by center intersection point;
According to diagonal fold line, the positive folding line of vertical line, be not affixed, assembly, assembly is in being summit with center intersection point, having the three-dimensional shape of two large flat square isosceles triangles, four facet right angled isosceles triangles; The base of large flat square isosceles triangle is parts 2 opening edges, and the base of facet right angled isosceles triangle is that the center intersection point of diagonal fold line is to congruent one section, foursquare angle; Adjacent large flat square isosceles triangle and facet right angled isosceles triangle form folding triangle, and the little triangle of parts 2 of folding triangle forms the little triangle of rugosity, the little triangle of the insertion for assembly; The little leg-of-mutton base of parts 2 forms two Sandwich openings, namely assembly be inserted into opening;
The insertion method of two assemblies: that little for the insertion of assembly triangle is inserted another assembly is inserted in the interlayer of opening, the plane of the large flat square isosceles triangle of insertion side keeps in one plane with the plane of the large flat square isosceles triangle of the side of being inserted into, and also namely the plane of the facet right angled isosceles triangle of the side of insertion keeps in one plane with the plane of the facet right angled isosceles triangle of the side of being inserted into; Namely the opening that is inserted into inserting little triangle one side completes grafting with the opening coincidence that is inserted into being inserted into a side;
Four folding triangles of each assembly respectively with each folding triangle grafting in this way of another four assemblies; Four after grafting large flat square isosceles triangles form a square-shaped planar, and it is triangular shaped that three facet right angled isosceles triangles form a depression; 12 the pluggable Cheng Youliu of assembly plane squares, eight leg-of-mutton geometry solid figures of depression.
CN201410079437.9A 2014-02-17 2014-02-17 A kind of geometry solid figure Expired - Fee Related CN103847136B (en)

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Families Citing this family (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104057643B (en) * 2014-06-24 2016-05-18 范鲁杰 A kind of fancy ball
CN104589706A (en) * 2015-01-23 2015-05-06 李平 Crossing solid figure
CN104647808A (en) * 2015-01-27 2015-05-27 李平 Framework three-dimensional shape
CN106314005A (en) * 2015-06-30 2017-01-11 富阳市华信包装材料有限公司 Folding method of triangular insert single sheet

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN2045524U (en) * 1989-01-03 1989-10-04 李建博 Inserting type paper teaching aid of plane-space model
JPH09285650A (en) * 1996-04-19 1997-11-04 Takehiko Otobe Orizuru made with triangular paper
CN202130650U (en) * 2011-06-24 2012-02-01 李伯姗 Decorative flower for box corner
CN103522599A (en) * 2013-10-19 2014-01-22 李平 Method of folding 45-degree acutely angled diamond insert

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20070087651A1 (en) * 2005-10-17 2007-04-19 Aneel Ali Action figure stands

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN2045524U (en) * 1989-01-03 1989-10-04 李建博 Inserting type paper teaching aid of plane-space model
JPH09285650A (en) * 1996-04-19 1997-11-04 Takehiko Otobe Orizuru made with triangular paper
CN202130650U (en) * 2011-06-24 2012-02-01 李伯姗 Decorative flower for box corner
CN103522599A (en) * 2013-10-19 2014-01-22 李平 Method of folding 45-degree acutely angled diamond insert

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