WO2015154632A1 - 60度角正三棱锥插接球 - Google Patents

60度角正三棱锥插接球 Download PDF

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WO2015154632A1
WO2015154632A1 PCT/CN2015/075545 CN2015075545W WO2015154632A1 WO 2015154632 A1 WO2015154632 A1 WO 2015154632A1 CN 2015075545 W CN2015075545 W CN 2015075545W WO 2015154632 A1 WO2015154632 A1 WO 2015154632A1
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line
edge
paper
paper edge
intersection
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PCT/CN2015/075545
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English (en)
French (fr)
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李伯姗
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罗明镜
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B31—MAKING ARTICLES OF PAPER, CARDBOARD OR MATERIAL WORKED IN A MANNER ANALOGOUS TO PAPER; WORKING PAPER, CARDBOARD OR MATERIAL WORKED IN A MANNER ANALOGOUS TO PAPER
    • B31D—MAKING ARTICLES OF PAPER, CARDBOARD OR MATERIAL WORKED IN A MANNER ANALOGOUS TO PAPER, NOT PROVIDED FOR IN SUBCLASSES B31B OR B31C
    • B31D5/00—Multiple-step processes for making three-dimensional articles ; Making three-dimensional articles
    • B31D5/0086—Making hollow objects

Definitions

  • the invention relates to a method for manufacturing a three-dimensional shape, in particular to a method for manufacturing a plug-in sphere.
  • the well-known 60-degree angle cube-triangular insert ball is more complicated, difficult to manufacture, and has many folding parts, which makes the shape not enough.
  • the utility model is more complicated, difficult to manufacture, and has many folding parts, which makes the shape not enough.
  • the present invention provides a 60 degree angle positive triangular pyramid insertion. How to make the ball.
  • a 60 degree angle positive triangular pyramid insertion ball which is formed by inserting and combining 30 parts of the same component of the component 1, the component 2, and the component 30;
  • the length to width ratio is 1.7321:1, which is 1:0.5773; do the rectangular paper left high right low diagonal indicator line; at the midpoint of the diagonal line
  • the diagonal line indicates the vertical vertical line indicating line, intersecting the paper edge on the rectangular paper at the intersection of the upper paper edge, and intersecting the lower paper edge at the intersection of the lower paper edge; the intersection of the paper edge above the upper paper edge is bounded, and the left segment is the upper paper.
  • the right part is the right side of the upper paper edge; the intersection of the paper edge below the lower paper edge is the boundary, the left part is the left side of the lower paper side, the right part is the right side of the lower paper side; the left side and the vertical line of the paper side are made
  • the angle bisector indicating the angle of the line that is, the bisector of the left corner bisector, intersects the left edge of the rectangular paper at the intersection of the left paper edge; the angle bisector of the angle between the right edge of the paper and the vertical line indicates The right corner bisector is a straight line that intersects the right edge of the rectangular paper at the intersection of the right edge of the paper; the left edge is bounded by the intersection of the left paper edge, the upper segment is the upper edge of the left paper edge, the lower segment is the lower edge of the left paper edge; the right edge is the right edge of the paper edge; The intersection of the paper edge is bounded, the upper section is the upper section of the right paper edge, and the lower section is the lower
  • the lower left corner and the upper right corner are folded toward the middle of the rectangular paper, and the lower left side of the left paper and the left side of the bisector are coincident, and the upper and right corners of the right side are positive.
  • the fold line coincides; the left line positive fold line changes to the left line side line, and the right line line fold line changes to the right line side line;
  • the upper left corner and the lower right corner of the rectangular paper are folded to the middle of the rectangular paper, and the upper left edge of the paper edge, the right edge of the lower paper edge, and the vertical line indicator line are overlapped.
  • the vertical line indicator line is overlapped and a mezzanine opening is formed; the upper edge of the left paper edge coincides with the edge line of the left line, and the upper edge of the right paper edge coincides with the edge line of the right line; the rectangular paper is deformed into a flat quadrilateral, and the left angle bisector is a straight line of the left line.
  • the right-angled bisector is the right long side, the coincident vertical line indicates the obtuse diagonal of the flat quadrilateral; the obtuse diagonal is the vertical line perpendicular to the obtuse diagonal, and the left long
  • the edges intersect at the left long edge intersection, and the right long edge intersects with the right long edge intersection; the intersection between the obtuse angle apex of the parallelogram and the right long edge is made, that is, the right line is reversed, and the apex of the obtuse angle is left and left.
  • the line between the intersection points is the line connecting the left line, that is, the left line is the reverse line; the left line is the reverse line, the right line is the reverse line and the vertical line is the line.
  • the flat quad is divided into four equal equilateral triangles; the flat quads are acute.
  • Triangle Insert triangle two triangles with a sandwich to be inserted into an opening in the middle of the triangle;
  • the component is formed;
  • a triangular insertion opening of the component 3 inserted into the triangular insertion member 3 is inserted into the triangular opening, and the inserted triangular insertion of the inserted triangular insertion member 1 of the component 3 has been inserted into the triangle.
  • the mezzanine opening that is, the insertion of a regular triangular pyramid;
  • the unplugged portion of one of the components that has been inserted into the positive triangular pyramid continues to be inserted into the component 4 and the component 5, that is, the second positive triangular pyramid is inserted; if the plug is inserted, the third and fourth plugs are inserted.
  • positive triangular pyramid five positive triangular pyramids are a group, that is, a pentagonal group, each positive triangular pyramid is one of three pentagonal groups; if it is plugged, it is inserted into a perfect spherical sphere with 20 positive triangular pyramids, that is, 60
  • the positive angle triangle pyramid inserts the ball.
  • the invention has the beneficial effects that the concept is novel and ingenious, the parts are simple to fold, the combination rules are firm, and the shape is beautiful and crisp.
  • Figure 1 is a plan view of a rectangular paper drawn with fold lines
  • Figure 2 is a plan view of the lower left corner and the upper right corner folded
  • Figure 3 is a plan view of a flat quadrilateral
  • Figure 4 is a perspective view of the component
  • Figure 5 is a schematic view of the plugging of two components
  • Figure 6 is a perspective view of a regular triangular pyramid
  • Figure 7 is a perspective view of a 60 degree angle positive triangular pyramid plug ball.
  • the 60-degree angle positive triangular pyramid inserts the ball, and the 30 parts of the same component of the component 1, the component 2, and the component 30 are plugged and combined;
  • the dotted line indicates the positive fold line of the front side fold, and the solid line plus circle indicates the reverse fold line of the reverse facing face;
  • a solid line plus dots indicates an indication line;
  • an arrowed line indicates an insertion line, a broken line portion of the arrowed line indicates an inserted portion, and a solid line portion of the arrowed line indicates an uninserted portion.
  • the length to width ratio is 1.7321:1, which is 1:0.5773; do the rectangular paper left high right low diagonal indicator line; at the midpoint of the diagonal line
  • the diagonal line indicates the vertical vertical line indicating line, intersecting the paper edge on the rectangular paper at the intersection of the upper paper edge, and intersecting the lower paper edge at the intersection of the lower paper edge; the intersection of the paper edge above the upper paper edge is bounded, and the left segment is the upper paper.
  • the right part is the right side of the upper paper edge; the intersection of the paper edge below the lower paper edge is the boundary, the left part is the left side of the lower paper side, the right part is the right side of the lower paper side; the left side and the vertical line of the paper side are made
  • the angle bisector indicating the angle of the line that is, the bisector of the left corner bisector, intersects the left edge of the rectangular paper at the intersection of the left paper edge; the angle bisector of the angle between the right edge of the paper and the vertical line indicates The right corner bisector is a straight line that intersects the right edge of the rectangular paper at the intersection of the right edge of the paper; the left edge is bounded by the intersection of the left paper edge, the upper segment is the upper edge of the left paper edge, the lower segment is the lower edge of the left paper edge; the right edge is the right edge of the paper edge; The intersection of the paper edge is bounded, the upper section is the upper section of the right paper edge, and the lower section is the lower
  • the lower left corner and the upper right corner are folded toward the middle of the rectangular paper, and the lower left side of the left paper and the left side of the bisector are coincident, and the upper and right corners of the right side are positive.
  • the fold line coincides; the left line positive fold line changes to the left line side line, and the right line line fold line changes to the right line side line; as shown in Figure 2.
  • the upper left corner and the lower right corner of the rectangular paper are folded to the middle of the rectangular paper, and the upper left edge of the paper edge, the right edge of the lower paper edge, and the vertical line indicator line are overlapped.
  • the vertical line indicator line is overlapped and a mezzanine opening is formed; the upper edge of the left paper edge coincides with the edge line of the left line, and the upper edge of the right paper edge coincides with the edge line of the right line; the rectangular paper is deformed into a flat quadrilateral, and the left angle bisector is a straight line of the left line.
  • the right-angled bisector is the right long side, the coincident vertical line indicates the obtuse diagonal of the flat quadrilateral; the obtuse diagonal is the vertical line perpendicular to the obtuse diagonal, and the left long Intersecting At the intersection of the left long side, the intersection with the right long side intersects the right long side; the line connecting the obtuse vertices of the parallelogram with the right long side, that is, the right connecting line, the intersection of the lower obtuse vertices and the left long side
  • the connection between the two is the reverse line of the left line; the reverse line of the left line, the reverse line of the right line and the vertical line of the vertical line divide the flat quadrilateral into four equal equilateral triangles; the triangle of the flat quadrilateral acute angle part To insert a triangle, the two triangles with a mezzanine opening in the middle are inserted into the triangle; as shown in Figure 3.
  • the component is formed; as shown in Figure 4.
  • a triangular insertion opening of the component 3 inserted into the triangular insertion member 3 is inserted into the triangular opening, and the inserted triangular insertion of the inserted triangular insertion member 1 of the component 3 has been inserted into the triangle.
  • the mezzanine opening that is, the completion of a positive triangular pyramid; as shown in Figure 6.
  • the unplugged portion of one of the components that has been inserted into the positive triangular pyramid continues to be inserted into the component 4 and the component 5, that is, the second positive triangular pyramid is inserted; if the plug is inserted, the third and fourth plugs are inserted.
  • positive triangular pyramid five positive triangular pyramids are a group, that is, a pentagonal group, each positive triangular pyramid is one of three pentagonal groups; if it is plugged, it is inserted into a perfect spherical sphere with 20 positive triangular pyramids, that is, 60
  • the angle triangle is inserted into the ball; as shown in Figure 7.

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Abstract

一种60度角正三棱锥插接球和立体形的制作方法。60度角正三棱锥插接球，由部件1、部件2……部件30共30个相同部件插接组合而成；采用长宽比例1.7321：1的矩形纸，折叠成有夹层开口的平形四边形，并进而折叠成部件；将部件1的三角插入部件2的三角夹层开口，相同的方式部件2插入部件3，部件3再插入部件1即完成了一个正三棱锥的插接；依此方式插接成有20个正三棱锥的正圆球体，即60度角正三棱锥插接球；该插接球折叠简单、结实。

Description

60度角正三棱锥插接球 技术领域
本发明涉及一种立体形的制作方法，尤其是一种插接球体的制作方法。
背景技术
目前，公知的60度角正三棱锥插接球的制作方法，多比较复杂，制作难度大，部件制作折叠环节多，致使造型不够挺括。
发明内容
为了克服现有的60度角正三棱锥插接球的制作方法，多比较复杂，制作难度大，部件制作折叠环节多，致使造型不够挺括的不足，本发明提供一种60度角正三棱锥插接球的制作方法。
本发明解决其技术问题所采用的技术方案是：60度角正三棱锥插接球，由部件1、部件2……部件30共30个相同部件插接组合而成；
取横长纵宽的矩形纸，其长宽比例为1.7321：1，也即1：0.5773；做矩形纸左高右低的对角线指示线；在对角线指示线的中点做与对角线指示线垂直的垂直线指示线，与矩形纸上纸边相交于上纸边交点，与下纸边相交于下纸边交点；上纸边以上纸边交点为界，左段为上纸边左段，右段为上纸边右段；下纸边以下纸边交点为界，左段为下纸边左段，右段为下纸边右段；做上纸边左段与垂直线指示线夹角的角平分线，即左角平分线正折线，与矩形纸的左纸边相交于左纸边交点；做下纸边右段与垂直线指示线夹角的角平分线，即右角平分线正折线，与矩形纸的右纸边相交于右纸边交点；左纸边以左纸边交点为界，上段为左纸边上段，下段为左纸边下段；右纸边以右纸边交点为界，上段为右纸边上段，下段为右纸边下段；在左纸边交点与下纸边交点之间做连线，即左连线正折线；在右纸边交点与上纸边交点之间做连线，即右连线正折线；
依照左连线正折线和右连线正折线，将左下角和右上角向矩形纸的中部折叠相贴，左纸边下段与左角平分线正折线重合，右纸边上段与右角平分线正折线重合；左连线正折线变化为左连线边线，右连线正折线变化为右连线边线；
依照左角平分线正折线和右角平分线正折线，将矩形纸的左上角和右下角向矩形纸的中部折叠相贴，上纸边左段、下纸边右段和垂直线指示线重合为重合垂直线指示线，并形成夹层开口；左纸边上段与左连线边线重合，右纸边上段与右连线边线重合；矩形纸变形为平形四边形，左角平分线正折线为其左长边，右角平分线正折线为其右长边，重合垂直线指示线为平形四边形的钝角对角线；在钝角对角线中点做垂直于钝角对角线的垂直线正折线，与左长边相交于左长边交点，与右长边相交于右长边交点；在平行四边形的上钝角顶点与右长边交点之间做连线，即右连线反折线，在下钝角顶点与左长边交点之间做连线，即左连线反折线；左连线反折线、右连线反折线和垂直线正折线将平形四边形等分为四个全等的等边三角形；平形四边形锐角部分的三角形为插入三角，中部的有夹层开口的两个三角形为被插入三角；
依照左连线反折线、右连线反折线和垂直线正折线折叠，即成部件；
将部件1的一个插入三角，插入部件2的一个被插入三角的夹层开口，插入三角和被插入三角完全重合为一个等边三角形，即完成了一次插接；
如是插接，部件2的已被插入三角相连的插入三角插入部件3的一个被插入三角的夹层开口，部件3的已被插入三角相连的插入三角插入部件1的已插入三角相连的被插入三角的夹层开口，即完成一个正三棱锥的插接；
已插接成正三棱锥的其中一个部件的未插接部分与部件4、部件5继续插接，即插接出第二个正三棱锥；如是插接，即插接出第三个、第四个……正三棱锥；五个正三棱锥为一组即五角组，每个正三棱锥都是三个五角组中的一个；如是插接，即插接成有20个正三棱锥的正圆球体，即60度角正三棱锥插接球。
本发明的有益效果是，构思新颖巧妙，部件折叠简单，组合规则结实，造型美观挺括。
附图说明
下面结合附图和实施例对本发明进一步说明。
图1是画有折叠线的矩形纸平面图；
图2是左下角、右上角折叠后的平面图；
图3是平形四边形平面图；
图4是部件立体图；
图5是两个部件插接示意图；
图6是一个正三棱锥立体图；
图7是60度角正三棱锥插接球立体图。
具体实施方式
60度角正三棱锥插接球，由部件1、部件2……部件30共30个相同部件插接组合而成；采用虚线表示正面对折的正折线，实线加圈表示反面对折的反折线；实线加点表示指示线；箭头线表示插入线，箭头线的虚线部分表示已插入部分，箭头线的实线部分表示未插入部分。
取横长纵宽的矩形纸，其长宽比例为1.7321：1，也即1：0.5773；做矩形纸左高右低的对角线指示线；在对角线指示线的中点做与对角线指示线垂直的垂直线指示线，与矩形纸上纸边相交于上纸边交点，与下纸边相交于下纸边交点；上纸边以上纸边交点为界，左段为上纸边左段，右段为上纸边右段；下纸边以下纸边交点为界，左段为下纸边左段，右段为下纸边右段；做上纸边左段与垂直线指示线夹角的角平分线，即左角平分线正折线，与矩形纸的左纸边相交于左纸边交点；做下纸边右段与垂直线指示线夹角的角平分线，即右角平分线正折线，与矩形纸的右纸边相交于右纸边交点；左纸边以左纸边交点为界，上段为左纸边上段，下段为左纸边下段；右纸边以右纸边交点为界，上段为右纸边上段，下段为右纸边下段；在左纸边交点与下纸边交点之间做连线，即左连线正折线；在右纸边交点与上纸边交点之问做连线，即右连线正折线；如图1。
依照左连线正折线和右连线正折线，将左下角和右上角向矩形纸的中部折叠相贴，左纸边下段与左角平分线正折线重合，右纸边上段与右角平分线正折线重合；左连线正折线变化为左连线边线，右连线正折线变化为右连线边线；如图2。
依照左角平分线正折线和右角平分线正折线，将矩形纸的左上角和右下角向矩形纸的中部折叠相贴，上纸边左段、下纸边右段和垂直线指示线重合为重合垂直线指示线，并形成夹层开口；左纸边上段与左连线边线重合，右纸边上段与右连线边线重合；矩形纸变形为平形四边形，左角平分线正折线为其左长边，右角平分线正折线为其右长边，重合垂直线指示线为平形四边形的钝角对角线；在钝角对角线中点做垂直于钝角对角线的垂直线正折线，与左长边相交 于左长边交点，与右长边相交于右长边交点；在平行四边形的上钝角顶点与右长边交点之间做连线，即右连线反折线，在下钝角顶点与左长边交点之间做连线，即左连线反折线；左连线反折线、右连线反折线和垂直线正折线将平形四边形等分为四个全等的等边三角形；平形四边形锐角部分的三角形为插入三角，中部的有夹层开口的两个三角形为被插入三角；如图3。
依照左连线反折线、右连线反折线和垂直线正折线折叠，即成部件；如图4。
将部件1的一个插入三角，插入部件2的一个被插入三角的夹层开口，插入三角和被插入三角完全重合为一个等边三角形，即完成了一次插接；如图5。
如是插接，部件2的已被插入三角相连的插入三角插入部件3的一个被插入三角的夹层开口，部件3的已被插入三角相连的插入三角插入部件1的已插入三角相连的被插入三角的夹层开口，即完成一个正三棱锥的插接；如图6。
已插接成正三棱锥的其中一个部件的未插接部分与部件4、部件5继续插接，即插接出第二个正三棱锥；如是插接，即插接出第三个、第四个……正三棱锥；五个正三棱锥为一组即五角组，每个正三棱锥都是三个五角组中的一个；如是插接，即插接成有20个正三棱锥的正圆球体，即60度角正三棱锥插接球；如图7。

Claims (1)

  1. 一种60度角正三棱锥插接球，其特征是：60度角正三棱锥插接球，由部件1、部件2……部件30共30个相同部件插接组合而成；取横长纵宽的矩形纸，其长宽比例为1.7321：1，也即1：0.5773；做矩形纸左高右低的对角线指示线；在对角线指示线的中点做与对角线指示线垂直的垂直线指示线，与矩形纸上纸边相交于上纸边交点，与下纸边相交于下纸边交点；上纸边以上纸边交点为界，左段为上纸边左段，右段为上纸边右段；下纸边以下纸边交点为界，左段为下纸边左段，右段为下纸边右段；做上纸边左段与垂直线指示线夹角的角平分线，即左角平分线正折线，与矩形纸的左纸边相交于左纸边交点；做下纸边右段与垂直线指示线夹角的角平分线，即右角平分线正折线，与矩形纸的右纸边相交于右纸边交点；左纸边以左纸边交点为界，上段为左纸边上段，下段为左纸边下段；右纸边以右纸边交点为界，上段为右纸边上段，下段为右纸边下段；在左纸边交点与下纸边交点之间做连线，即左连线正折线；在右纸边交点与上纸边交点之间做连线，即右连线正折线；
    依照左连线正折线和右连线正折线，将左下角和右上角向矩形纸的中部折叠相贴，左纸边下段与左角平分线正折线重合，右纸边上段与右角平分线正折线重合；左连线正折线变化为左连线边线，右连线正折线变化为右连线边线；
    依照左角平分线正折线和右角平分线正折线，将矩形纸的左上角和右下角向矩形纸的中部折叠相贴，上纸边左段、下纸边右段和垂直线指示线重合为重合垂直线指示线，并形成夹层开口；左纸边上段与左连线边线重合，右纸边上段与右连线边线重合；矩形纸变形为平形四边形，左角平分线正折线为其左长边，右角平分线正折线为其右长边，重合垂直线指示线为平形四边形的钝角对角线；在钝角对角线中点做垂直于钝角对角线的垂直线正折线，与左长边相交于左长边交点，与右长边相交于右长边交点；在平行四边形的上钝角顶点与右长边交点之间做连线，即右连线反折线，在下钝角顶点与左长边交点之间做连线，即左连线反折线；左连线反折线、右连线反折线和垂直线正折线将平形四边形等分为四个全等的等边三角形；平形四边形锐角部分的三角形为插入三角，中部的有夹层开口的两个三角形为被插入三角；
    依照左连线反折线、右连线反折线和垂直线正折线折叠，即成部件；将部件1的一个插入三角，插入部件2的一个被插入三角的夹层开口，插入三角和被插入三角完全重合为一个等边三角形，即完成了一次插接；如是插接，部件2 的已被插入三角相连的插入三角插入部件3的一个被插入三角的夹层开口，部件3的已被插入三角相连的插入三角插入部件1的已插入三角相连的被插入三角的夹层开口，即完成一个正三棱锥的插接；已插接成正三棱锥的其中一个部件的未插接部分与部件4、部件5继续插接，即插接出第二个正三棱锥；如是插接，即插接出第三个、第四个……正三棱锥；五个正三棱锥为一组即五角组，每个正三棱锥都是三个五角组中的一个；如是插接，即插接成有20个正三棱锥的正圆球体，即60度角正三棱锥插接球。
PCT/CN2015/075545 2014-04-08 2015-03-31 60度角正三棱锥插接球 WO2015154632A1 (zh)

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