WO2015196840A1 - 30度角正三棱锥合成球 - Google Patents

30度角正三棱锥合成球 Download PDF

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Publication number
WO2015196840A1
WO2015196840A1 PCT/CN2015/075544 CN2015075544W WO2015196840A1 WO 2015196840 A1 WO2015196840 A1 WO 2015196840A1 CN 2015075544 W CN2015075544 W CN 2015075544W WO 2015196840 A1 WO2015196840 A1 WO 2015196840A1
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line
long side
component
angle
corner
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PCT/CN2015/075544
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English (en)
French (fr)
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李平
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罗明镜
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Publication of WO2015196840A1 publication Critical patent/WO2015196840A1/zh

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    • A—HUMAN NECESSITIES
    • A63—SPORTS; GAMES; AMUSEMENTS
    • A63H—TOYS, e.g. TOPS, DOLLS, HOOPS OR BUILDING BLOCKS
    • A63H33/00—Other toys
    • A63H33/16—Models made by folding paper

Definitions

  • the invention relates to a method for manufacturing a three-dimensional shape, in particular to a method for manufacturing a synthetic sphere.
  • the well-known 30 degree angle positive triangular pyramid synthetic ball is produced in a small number of ways, and in a rare method, it is more complicated, and a simple and easy method is rare.
  • the present invention provides a 30 degree angle positive triangular pyramid synthetic ball production method.
  • the technical solution adopted by the present invention to solve the technical problem thereof is: a 30 degree angle positive triangular pyramid synthetic ball, which is characterized in that: a 30 degree angle positive triangular pyramid synthetic ball, from the component 1, the component 2, the component 30, a total of 30 identical components Plug-in combination;
  • the ratio of length to width is 1:0.4409, which is 2.268:1; connect the two wide paper edges in the longitudinal direction of the rectangular paper, that is, the middle point of the left paper edge and the right paper edge.
  • Line take the upper left corner of the rectangular paper as the standard, fold the upper left corner, make the top left corner align with the line indicator line, and get the left diagonal line; the angle between the left paper edge and the left diagonal line of the rectangular paper Make the left corner bisector straight fold line, intersect the upper paper edge at the intersection of the upper paper edge; take the upper right corner of the rectangular paper as the standard, fold the lower right corner, make the vertices of the lower right corner align with the line indication line, and get the right diagonal line indication.
  • the angle between the right edge of the rectangular paper and the right oblique line indicates the right angle bisector straight line; intersects the lower paper edge at the intersection of the lower paper edge; according to the left corner bisector straight line and the right corner bisector straight line,
  • the upper left corner and the lower right corner are folded to the middle of the rectangular paper to form a parallelogram;
  • the left corner bisector straight fold line changes to the left side of the flat quadrilateral, that is, the left side of the quadrilateral;
  • the right corner bisector straight fold line changes to the right side of the flat quadrilateral, that is, the right side of the quadrilateral ; in the middle of the left side of the quadrangle
  • the upper part of the line is folded down, and the lower part of the line is folded upward according to the line of the lower line to form a coincident rectangle.
  • the upper side and the lower side of the quadrilateral overlap to form a pair of coincident rectangles.
  • An angle line which is an opening coincidence line with a sandwich opening, that is, an opening is inserted;
  • the midpoint of the merging line is a vertical line normal line perpendicular to the opening coincidence line, intersecting the upper long side of the coincident rectangle at the intersection of the upper long side, the upper long side intersection is bounded, and the upper long side of the left side of the upper long side is the upper left side
  • the upper long side of the upper side of the upper long side intersection is the upper right long side
  • the vertical line normal fold line intersects the lower long side at the lower long side intersection point, the lower long side intersection point is the boundary, and the lower long side intersection point is the lower long side part of the left side
  • the lower long side of the right side of the lower long side intersection is the lower right long side
  • the left first reverse line is formed between the left upper end point and the lower long side intersection point of the diagonal line, and the right lower side of the diagonal line
  • the right first reverse line is formed between the end point and the upper long side intersection;
  • One insertion portion of the component 1 is inserted into the opening of the component 2, and the left second inversion line of the insertion portion of the component 1 coincides with the left first inversion line of the component 2, and the diagonal left end point of the component 1 and the component 2 The diagonal high-end points on the left side coincide, that is, one plug is completed;
  • an insertion portion of the component 2 of the insertion portion 3 that is connected to the inserted insertion opening is inserted into the opening, and the insertion portion of the component 3 that is connected to the inserted insertion opening end is inserted into the component 1 Inserting a partially connected inserted opening, that is, completing 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.
  • a fifth positive triangular pyramid five positive triangular pyramids are a group of pentagonal groups; 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, a 30-degree angle positive triangular pyramid synthetic ball.
  • the invention has the advantages of novel design, ingenious design, easy component making, and inner sandwich design, so that the component body is firm and firm, and is not easy to be scattered; the body is beautiful and beautiful, and has a unique style.
  • Figure 1 is a plan view of a rectangular paper drawn with fold lines and cable indication lines;
  • Figure 2 is a plan view showing a parallelogram formed by folding the upper left corner and the lower right corner of the rectangular paper;
  • Figure 3 is a plan view of a coincident rectangle
  • 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 30 degree angular positive triangular pyramid synthetic ball.
  • the 30-degree angle positive triangular pyramid synthetic ball is formed by inserting and combining 30 parts of the same component of the component 1, the component 2, and the component 30; the dotted line is used to indicate the positive folding line of the front side, that is, when folded, the front side and the front side of the paper are attached;
  • the solid line plus circle indicates the reverse fold line facing the fold, that is, when folded, the reverse side and the reverse side of the paper are attached;
  • the solid line adds dots to indicate the indicator line;
  • the arrow line indicates the indication line of the plugging direction, and the dotted line portion of the arrow line indicates the inserted portion,
  • the solid line portion of the arrow line indicates the uninserted portion.
  • the upper left corner and the lower right corner are folded toward the middle of the rectangular paper to form a parallelogram;
  • the left corner bisector straight fold line changes to the left side of the flat quadrilateral, that is, the left side of the quadrangle;
  • the right-angled bisector straight fold line changes to the right side of the flat quadrilateral, that is, the right side of the quadrilateral;
  • the lower-positive fold line is formed between the midpoint of the left side of the quadrilateral and the lower end of the right side of the quadrilateral; the midpoint of the right side of the quadrilateral and the upper end of the left side of the quadrilateral Make a positive line on the line; as shown in Figure 2.
  • the upper part of the line is folded down, and the lower part of the line is folded upward according to the line of the lower line to form a coincident rectangle.
  • the upper side and the lower side of the quadrilateral overlap to form a pair of coincident rectangles.
  • An angle line which is an opening coincidence line having a sandwich opening, that is, an opening is inserted; a vertical line normal fold line perpendicular to the opening coincidence line is formed at a midpoint of the opening coincidence line, intersecting the upper long side of the coincident rectangle
  • the upper long side intersection point, the upper long side intersection point is the boundary, the upper long side part on the left side of the upper long side intersection point is the upper left long side, and the upper long side part on the right side of the upper long side intersection point is the upper right long side;
  • the vertical line normal fold line and the lower long side Intersecting at the intersection of the lower long side, the following long side intersection is the boundary, the lower long side of the left side of the lower long side is the lower left long side, and the lower long side of the right side of the lower long side intersection is the lower right long side; in the diagonal
  • the left first reverse line is formed between the left high end point and the lower long side intersection point, and the right first reverse fold line is made between the right lower end point and the upper long side intersection
  • the left first reverse line and the upper left long side are the same angle; the right lower end of the diagonal line to the upper right long side to the right second reverse line; the right second reverse line and the right first reverse line and the right angle
  • the angle between the right first reverse line and the lower right side is the same; the angle between the second second reverse line and the left first reverse line
  • the right angle bisector indicates that the line to the right of the coincident rectangle is the insertion portion; as shown in Figure 3.
  • the component is formed;
  • One insertion portion of the component 1 is inserted into the opening of the component 2, and the left second inversion line of the insertion portion of the component 1 coincides with the left first inversion line of the component 2, and the diagonal left end point of the component 1 and the component 2 The diagonally left high-end points coincide, that is, one plug is completed; as shown in Figure 5.
  • an insertion portion of the component 2 of the insertion portion 3 that is connected to the inserted insertion opening is inserted into the opening, and the insertion portion of the component 3 that is connected to the inserted insertion opening end is inserted into the component 1 Inserting a partially connected inserted opening, that is, completing the insertion of a regular triangular pyramid; as shown in FIG. 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.
  • a fifth positive triangular pyramid five positive triangular pyramids are a group of pentagonal groups; 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, a 30-degree angle positive triangular pyramid synthetic ball; as shown in Figure 7.
  • the invention has the advantages that the concept is novel, and the fabrication of the 30 degree regular triangular pyramid which requires fine calculation is simple and easy; the synthesis step is both regular and smooth; the shape is both beautiful and strong.

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Abstract

一种30度角正三棱锥合成球，球体由30个相同部件插接组合而成；取长宽比例1∶0.4409的矩形纸，依照左角平分线正折线和右角平分线正折线，折叠成平行四边形；再依照上连线正折线、下连线正折线折叠成重合矩形，并进而折叠成部件；完成一个正三棱锥的插接；五个正三棱锥为一组即五角组；插接成有20个正三棱锥的正圆球体，即30度角正三棱锥合成球。该30度正三棱锥的制作简单容易；合成步骤既规则又流畅；造型既美观又结实。

Description

30度角正三棱锥合成球 技术领域
本发明涉及一种立体形的制作方法，尤其是一种合成球体的制作方法。
背景技术
目前，公知的30度角正三棱锥合成球的制作方法较少，在少见的方法中，多较复杂，少见简单容易的方法。
发明内容
为了克服现有的30度角正三棱锥合成球的制作方法较少，在少见的方法中，多较复杂，少见简单容易的方法的不足，本发明提供一种30度角正三棱锥合成球的制作方法。
本发明解决其技术问题所采用的技术方案是：一种30度角正三棱锥合成球，其特征是：30度角正三棱锥合成球，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∶0.4409，也即2.268∶1；在矩形纸纵向两个宽纸边即左纸边和右纸边的中点之间做连线指示线；以矩形纸的左下角顶点为准，折叠左上角，使左上角的顶点对准连线指示线，获得左斜线指示线；在矩形纸左纸边与左斜线指示线的夹角做左角平分线正折线，与上纸边相交于上纸边交点；以矩形纸的右上角顶点为准，折叠右下角，使右下角的顶点对准连线指示线，获得右斜线指示线；在矩形纸右纸边与右斜线指示线的夹角做右角平分线正折线；与下纸边相交于下纸边交点；依照左角平分线正折线和右角平分线正折线，将左上角和右下角向矩形纸的中部折叠相贴，形成平行四边形；左角平分线正折线变化为平形四边形的左边，即四边形左边；右角平分线正折线变化为平形四边形的右边，即四边形右边；在四边形左边的中点与四边形右边的下端点之间做下连线正折线；在四边形右边的中点与四边形左边的上端点之间做上连线正折线；
依照上连线正折线将其以上部分向下折叠相贴，依照下连线正折线将其以下部分向上折叠相贴，形成重合矩形，四边形上边和下边重合，形成重合矩形左高右低的对角线，其为有夹层开口的开口重合线，即被插入开口；在开口重 合线的中点做与开口重合线垂直的垂直线正折线，与重合矩形的上长边相交于上长边交点，以上长边交点为界，上长边交点左边的上长边部分为左上长边，上长边交点右边的上长边部分为右上长边；垂直线正折线与下长边相交于下长边交点，以下长边交点为界，下长边交点左边的下长边部分为左下长边，下长边交点右边的下长边部分为右下长边；在对角线的左高端点与下长边交点之间做左第一反折线，在对角线的右低端点与上长边交点之间做右第一反折线；左下长边、右下长边、左第一反折线和右第一反折线的长度相等，形成菱形；由对角线的左高端点向左下长边做左第二反折线；左第二反折线与左第一反折线的夹角和左第一反折线与左上长边的夹角相同；由对角线的右低端点向右上长边做右第二反折线；右第二反折线与右第一反折线的夹角和右第一反折线与右下长边的夹角相同；在左第二反折线与左第一反折线的夹角做角平分线，即左角平分线指示线；在右第二反折线与右第一反折线的夹角做角平分线，即右角平分线指示线；左角平分线指示线至重合矩形左边部分、右角平分线指示线至重合矩形右边部分为插入部分；
依照左第一反折线、左第二反折线、右第一反折线、右第二反折线和垂直线正折线折叠，即成部件；
将部件1的一个插入部分，插入部件2的一个被插入开口，部件1插入部分的左第二反折线与部件2的左第一反折线重合，部件1的对角线左高端点与部件2的对角线左高端点重合，即完成了一次插接；
如是插接，部件2的与已被插入的被插入开口一端相连的插入部分插入部件3的一个被插入开口，部件3的与已被插入的被插入开口一端相连的插入部分插入部件1的与已插入部分相连的被插入开口，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、第五个正三棱锥；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30度角正三棱锥合成球。
本发明的有益效果是，设计新颖，构思巧妙；部件制作容易，内夹层的设计，使部件形体结实牢固，不易散形；形体美观漂亮，别具一格。
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、索指示线的矩形纸平面图；
图2是矩形纸左上角、右下角折叠后，形成平行四边形的平面图；
图3是重合矩形平面图；
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30度角正三棱锥合成球立体图。
具体实施方式
30度角正三棱锥合成球，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，即折叠时，纸的正面和正面相贴；实线加圈表示反面对折的反折线，即折叠时，纸的反面和反面相贴；实线加点表示指示线；箭头线表示插接方向的指示线，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∶0.4409，也即2.268∶1；在矩形纸纵向两个宽纸边即左纸边和右纸边的中点之间做连线指示线；以矩形纸的左下角顶点为准，折叠左上角，使左上角的顶点对准连线指示线，获得左斜线指示线；在矩形纸左纸边与左斜线指示线的夹角做左角平分线正折线，与上纸边相交于上纸边交点；以矩形纸的右上角顶点为准，折叠右下角，使右下角的顶点对准连线指示线，获得右斜线指示线；在矩形纸右纸边与右斜线指示线的夹角做右角平分线正折线；与下纸边相交于下纸边交点；如图1。
依照左角平分线正折线和右角平分线正折线，将左上角和右下角向矩形纸的中部折叠相贴，形成平行四边形；左角平分线正折线变化为平形四边形的左边，即四边形左边；右角平分线正折线变化为平形四边形的右边，即四边形右边；在四边形左边的中点与四边形右边的下端点之间做下连线正折线；在四边形右边的中点与四边形左边的上端点之间做上连线正折线；如图2。
依照上连线正折线将其以上部分向下折叠相贴，依照下连线正折线将其以下部分向上折叠相贴，形成重合矩形，四边形上边和下边重合，形成重合矩形左高右低的对角线，其为有夹层开口的开口重合线，即被插入开口；在开口重合线的中点做与开口重合线垂直的垂直线正折线，与重合矩形的上长边相交于 上长边交点，以上长边交点为界，上长边交点左边的上长边部分为左上长边，上长边交点右边的上长边部分为右上长边；垂直线正折线与下长边相交于下长边交点，以下长边交点为界，下长边交点左边的下长边部分为左下长边，下长边交点右边的下长边部分为右下长边；在对角线的左高端点与下长边交点之间做左第一反折线，在对角线的右低端点与上长边交点之间做右第一反折线；左下长边、右下长边、左第一反折线和右第一反折线的长度相等，形成菱形；由对角线的左高端点向左下长边做左第二反折线；左第二反折线与左第一反折线的夹角和左第一反折线与左上长边的夹角相同；由对角线的右低端点向右上长边做右第二反折线；右第二反折线与右第一反折线的夹角和右第一反折线与右下长边的夹角相同；在左第二反折线与左第一反折线的夹角做角平分线，即左角平分线指示线；在右第二反折线与右第一反折线的夹角做角平分线，即右角平分线指示线；左角平分线指示线至重合矩形左边部分、右角平分线指示线至重合矩形右边部分为插入部分；如图3。
依照左第一反折线、左第二反折线、右第一反折线、右第二反折线和垂直线正折线折叠，即成部件；如图4。
将部件1的一个插入部分，插入部件2的一个被插入开口，部件1插入部分的左第二反折线与部件2的左第一反折线重合，部件1的对角线左高端点与部件2的对角线左高端点重合，即完成了一次插接；如图5。
如是插接，部件2的与已被插入的被插入开口一端相连的插入部分插入部件3的一个被插入开口，部件3的与已被插入的被插入开口一端相连的插入部分插入部件1的与已插入部分相连的被插入开口，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、第五个正三棱锥；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30度角正三棱锥合成球；如图7。
本发明的有益效果是，构思新颖，将需要精细计算的30度正三棱锥的制作变得简单容易；合成步骤既规则又流畅；造型既美观又结实。

Claims (1)

  1. 一种30度角正三棱锥合成球，其特征是：30度角正三棱锥合成球，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∶0.4409，也即2.268∶1；在矩形纸纵向两个宽纸边即左纸边和右纸边的中点之间做连线指示线；以矩形纸的左下角顶点为准，折叠左上角，使左上角的顶点对准连线指示线，获得左斜线指示线；在矩形纸左纸边与左斜线指示线的夹角做左角平分线正折线，与上纸边相交于上纸边交点；以矩形纸的右上角顶点为准，折叠右下角，使右下角的顶点对准连线指示线，获得右斜线指示线；在矩形纸右纸边与右斜线指示线的夹角做右角平分线正折线；与下纸边相交于下纸边交点；依照左角平分线正折线和右角平分线正折线，将左上角和右下角向矩形纸的中部折叠相贴，形成平行四边形；左角平分线正折线变化为平形四边形的左边，即四边形左边；右角平分线正折线变化为平形四边形的右边，即四边形右边；在四边形左边的中点与四边形右边的下端点之间做下连线正折线；在四边形右边的中点与四边形左边的上端点之间做上连线正折线；
    依照上连线正折线将其以上部分向下折叠相贴，依照下连线正折线将其以下部分向上折叠相贴，形成重合矩形，四边形上边和下边重合，形成重合矩形左高右低的对角线，其为有夹层开口的开口重合线，即被插入开口；在开口重合线的中点做与开口重合线垂直的垂直线正折线，与重合矩形的上长边相交于上长边交点，以上长边交点为界，上长边交点左边的上长边部分为左上长边，上长边交点右边的上长边部分为右上长边；垂直线正折线与下长边相交于下长边交点，以下长边交点为界，下长边交点左边的下长边部分为左下长边，下长边交点右边的下长边部分为右下长边；在对角线的左高端点与下长边交点之间做左第一反折线，在对角线的右低端点与上长边交点之间做右第一反折线；左下长边、右下长边、左第一反折线和右第一反折线的长度相等，形成菱形；由对角线的左高端点向左下长边做左第二反折线；左第二反折线与左第一反折线的夹角和左第一反折线与左上长边的夹角相同；由对角线的右低端点向右上长边做右第二反折线；右第二反折线与右第一反折线的夹角和右第一反折线与右下长边的夹角相同；在左第二反折线与左第一反折线的夹角做角平分线，即左角平分线指示线；在右第二反折线与右第一反折线的夹角做角平分线，即右角平分线指示线；左角平分线指示线至重合矩形左边部分、右角平分线指示线至重合矩形右边部分为插入部分；
    依照左第一反折线、左第二反折线、右第一反折线、右第二反折线和垂直线正折线折叠，即成部件；
    将部件1的一个插入部分，插入部件2的一个被插入开口，部件1插入部分的左第二反折线与部件2的左第一反折线重合，部件1的对角线左高端点与部件2的对角线左高端点重合，即完成了一次插接；
    如是插接，部件2的与已被插入的被插入开口一端相连的插入部分插入部件3的一个被插入开口，部件3的与已被插入的被插入开口一端相连的插入部分插入部件1的与已插入部分相连的被插入开口，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、第五个正三棱锥；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30度角正三棱锥合成球。
PCT/CN2015/075544 2014-06-24 2015-03-31 30度角正三棱锥合成球 WO2015196840A1 (zh)

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US5171014A (en) * 1991-05-28 1992-12-15 Hsieh Jung Yao Magic folding game
CN103770373A (zh) * 2014-01-12 2014-05-07 李平 镂空圆球的制作方法
CN103895262A (zh) * 2014-03-16 2014-07-02 李平 30度角正三棱锥组合球
CN103895260A (zh) * 2014-03-12 2014-07-02 李平 30度角正三棱锥插接球

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US5171014A (en) * 1991-05-28 1992-12-15 Hsieh Jung Yao Magic folding game
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CN103895262A (zh) * 2014-03-16 2014-07-02 李平 30度角正三棱锥组合球

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