JPH01287688A - Multi-sequence spiral type laminated plan - Google Patents

Abstract

PURPOSE:To unfold a folded plan along the folds by constituting all folds of modules of linear folds at which inversion of the folding does not take place and causing both ends of the folding lines to expose from the folded plan. CONSTITUTION:A higher-rank triangular plan lies adjacent to a lower-rank triangular plan, with the long side section of the triangles being shared by both triangles, and the long side of the other module which is congruent with the module in which the right-angle vertex of the lower-rank triangle comes below the right-angle vertex of the higher-rank triangle intersects below the long side of the module of the lower-rank triangle. Then the right-angle vertex of the higher-rank triangle and an arbitrary end of the longest side of the 1st module share one point. Moreover, the short side of the low-rank triangle of the 1st module shares one side with the short side of the higher-rank triangle of a 2nd module which is put on the short a side coupling the short side of the 1st module and a continuous body is constituted. Similarly, 3rd and 4th modules are coupled with each other and, when the 4th module is coupled, the 4th module is positioned above the 1st module. Therefore, necessary part of a folded-up large plan can be seen when the necessary part is unfolded.

Description

[Detailed description of the invention] Ll rise ■and light■ The present invention relates to multi-series helical stack drawings.

Using the present invention, it is possible to fold a single large drawing or the like to create a laminated small drawing, or it is also possible to create a similar small drawing by joining many small drawings.

Drawings, etc. refer to drawings such as blueprints, maps, flowcharts, catalogs, and other unbound printed materials in general, as well as blank sheets.Hereinafter, for the sake of simplicity, these will be collectively referred to as drawings, etc. shall be.

The laminated folded drawing according to the present invention has a unique structure that allows pages to be continuously traced in all directions just as one would follow one large drawing when the pages are turned over while keeping the same size. For this reason, maps such as drive maps, rivers, railways, roads, power lines, etc.
In addition to drawings such as gas pipe management drawings, wiring diagrams, layout diagrams, etc., program flow charts, equipment failure diagnosis manuals, equipment instruction manuals, chemical analysis procedure charts, work procedure charts, quick transfer timetables, and health checks. In addition to being usable as flowcharts such as lists, stories with different plots, compatibility diagnosis, fortune-telling, feedback text, quiz collections, etc., product catalogs, fabric samples, hotel information, tourist guides, idea notes, menus that take advantage of the opening method. It can also be used as a design book, color sample, gravure collection, etc.

Tatsugen Sumai 1 Various methods of folding drawings have been proposed in the past. The folding drawing disclosed in West German Patent Publication No. 856964 is one in which rectangular drawings are folded over and over in a star shape.

The purpose of this drawing is to easily fold the drawing, and it cannot be used while folded; it must be expanded to the original size when used.

Utility Model Publication No. 48-28465 includes West German Patent Publication No. 856.
A folded drawing similar to the folded drawing disclosed in No. 964 is disclosed. This folding drawing is based on West German Patent Publication No. 8
It has the same drawbacks as the folding drawing disclosed in No. 56964.

Furthermore, Japanese Patent Laid-Open No. 154873/1983 discloses a method of folding a drawing into a square.

This method compensates for the drawbacks of the above two conventional examples and has the feature that it can be used in its folded size.

However, because the periphery of the original drawing is placed in the center of the folded drawing, there is a cut, and the side direction of the original drawing is in the direction of the diagonal of the square that is the folded shape. , the disadvantage is that the viewing angle changes and it is difficult to see. Moreover, although it is possible to fold a long drawing with no limit to the length in the long side direction, the length in the short side direction is limited to 2J2=2.828 times the size of the folded drawing.

Furthermore, when attempting to adhesively fix a folded drawing to prevent it from unfolding during use, the adhesive surface cannot be unfolded flat after folding, making the gluing work difficult.

Furthermore, the invention of Japanese Patent Application No. 62-212680 compensates for the above-mentioned drawbacks, but in the case of rectangular drawings, the length in the long side direction can be folded without limit. The length in the short side direction is limited to three times the length of one side of the folded drawing.

In the conventional technology, the folding drawing disclosed in West German Patent Publication No. 856964 is aimed at the reduction effect of folding or the simplicity of the folding method, and the large drawing is It does not have the ability to be folded into a small size and used as is.

The drawing of Utility Model Publication No. 48-28465 also has the same drawback.

Although drawings that are detailed and can be traced continuously over a wide range, such as maps and flowcharts, are originally designed, they can be used even when folded into a small size and can be traced continuously over a wide range. A convenient folding method for traveling is published in Japanese Patent Application Laid-Open No. 58-154873 and Japanese Patent Application No. 62-2.
None known except for the method of No. 12680.

Therefore, you can either reduce a large area to a smaller drawing at the expense of detail, or divide a detailed drawing into smaller drawings that are easier to fold and use them as multiple folded drawings or multiple unfolded drawings. Or, they were forced to use methods such as binding multiple unfolded drawings together and using them like an atlas.

Next, the method of Japanese Patent Application Laid-Open No. 58-154873 compensates for the drawback of the folded drawing disclosed in West German Patent Publication No. 856964 in that the drawing can be folded and used as it is folded. Furthermore, the method can be followed continuously in any direction beyond the folded page.

However, this method has the following drawbacks.

Since the periphery of the original drawing is placed in the center of the folded-up drawing, there is a cut in the center of the folded-up drawing, and unrelated parts of the drawing are adjacent to each other at the center of the page, making it difficult to see.

Furthermore, since the side direction of the original drawing is in the direction of the diagonal of the folded-up square, the viewing angle changes, making it difficult to see.

The size of a foldable drawing is unlimited in the long side direction, but the limit in the short side direction is 2J2 = 2.828 times the length of one side of the folded square. .

Furthermore, in the case of this method, when attempting to adhesively fix the back side of the folded drawing to prevent it from unfolding during use, the adhesive work is difficult because the adhesive surface cannot be unfolded flat after folding.

Furthermore, the invention of Japanese Patent Application No. 62-212680 compensates for the above-mentioned drawbacks, but in the case of rectangular drawings, the length in the long side direction can be folded without limit. There is a restriction that the length in the short side direction is limited to three times the size of the folded drawing.

It is an object of the present invention to solve all the problems of the conventional art described above, and furthermore, when the size of the folded drawing is constant, it is theoretically possible to have an unlimited length in two directions, the vertical direction and the horizontal direction. A folded drawing of the drawing is provided.

In order to read the U title 1. One of the issues to be solved is to be able to use large drawings while folded into small ones, and to be able to trace the folded drawings continuously in all directions beyond the page. Patent Application No. 62 regarding the following three points:
This problem was almost solved in No.-212680.

However, if you want to use a rectangular drawing,
According to the method of No. 212680, the length of the short side of the original drawing is limited to three times the size of the folded drawing.

The purpose of this invention is to fold a drawing, which is theoretically of unlimited size in both the long side and short side directions, into an easy-to-use size while preserving its topological properties.

In the method of Japanese Patent Application No. 62-212680, the two long sides overlap with a slight deviation at the time of folding, and the short side is more than three times the size of the folded drawing. In the case of drawings with folded drawings, it is difficult to realize folding because a portion exceeding three times the size of the folded drawing overlaps and covers other portions of the drawing.

As a result of research, we found that, as a topological property of a plane, ``If expansion and contraction are allowed during the folding process, a plane of unlimited size can be folded with the same topological properties as a plane, but the fold direction is It has been discovered that the folding pattern can be composed of linear folds that do not undergo inversion, and that both ends of the straight lines can be exposed outside the folded figure.

Here, [all folds are composed of straight folds with no reversal of fold direction, and both ends of the straight lines can be exposed outside the folding shape] means that folding This means that the drawing can be opened along the fold.

In the past, the difficulty in folding was often confused with the difficulty in the existence of folded figures, but if we could distinguish between these two and devise a method to ``allow expansion and contraction in the folding process'', drawings could be improved. It was found that this can be applied to folding, and the present invention was developed.

Regarding plane folding, assuming the process of connecting modules, the feature of this method is that when connecting the fourth module, it is positioned above the first module.

This invention is based on the drawing itself having the same shape as the folded plane, and is not limited to those manufactured in the order of the structure description.

■ The folding drawing according to the present invention has the following characteristics.

A large drawing can be folded into a small size and a desired part can be easily turned over and viewed while the drawing is folded into a small size.A drawing that is theoretically unlimited in size in two directions (vertically and horizontally) can be folded into a square of any size. be able to.

A folded drawing can be traced continuously across the page in any direction.

Drawing boundaries can be prevented from appearing within folded drawing pages.

The folded drawing can have the same orientation as the original drawing.

The adhesive fixing process can be easily performed.

In the folded drawing according to the method of the present invention, the shape of the fold is square. The method is easy to use, just open the page you want to see, and if you want to follow the drawing beyond the page, you can hold the edge of the page between your fingers to memorize the part you are currently following. Then, close the page, return it to the folded form, and open the page on the back side of the memory section again.The method of tracing this page is to repeat it as many times as you like against any boundary of the page. Can be used repeatedly.

Preferred embodiments of the present invention will now be described with reference to the accompanying drawings.

FIG. 1 shows a folded multi-series spiral laminated drawing,
Figure 1, which shows a case in which the number of modules included in one row is 8 and the number of rows is 8, is exaggerated in the thickness direction to make the positional relationship of the modules clearer. .

FIG. 2 shows a module, and FIG. 3 shows how two modules are connected. The module on the top is the first module, and the module on the bottom is the second module.
It is modular. The orthogonal vertex of the second module may be connected to the opposite end point of the long side of the first module.

FIG. 4 shows a helical stack of eight modules. The term "spiral type" is used here because the modules form an upward spiral that goes around once every four modules in a row. The term "laminated" also refers to the fact that the modules in the drawings are stacked in layers.

Modules are always connected below the lower triangle as the module number increases, but when connecting the No. 4 module, the half of the triangle that is not connected to the No. 3 module is placed above the No. 1 module. It is important to. In this way, the modules can be placed naturally and sequentially above the previous module in the spiral and below the previous module.

In the art for carrying out the present invention, the expression "continuous", which is discrete one by one, indicates that the modules are continuous, and whether they were originally continuous or became continuous due to connection. It doesn't matter how much.

Therefore, the drawings in the above claims indicate that the modules are continuous as described in the claims at the stage of completion, and it does not matter whether they were originally continuous or whether they became continuous through connection during the manufacturing process. .

Furthermore, even if they are not physically connected, if the conditions such as that the modules to be connected are always in close coordination are met, and it is easy to determine which module follows which module, then , is included in the meaning of ``a series of mountains,'' similar to ``a series of mountains.''

For example, even when the first row of modules and the second row of modules in a two-series spiral laminated drawing are separated, the first
The spiral of the row spiral type laminated drawing and the spiral of the second row spiral type laminated drawing are intertwined with each other, and the modules that were connected to each other before cutting continue to maintain a close positional relationship even after cutting. These modules are considered to be connected.

Next, one method of producing the drawing of the present invention by folding from a planar drawing will be shown.

Figure 5 shows the drawing that should be folded.The solid line indicates that it should be folded in a mountain fold, and the broken line indicates that it should be folded in a valley.Also, double lines indicate that it should be cut. The cutting is to facilitate folding, and is the part that must be joined again after folding.

Sequentially fold the modules in the first row along the fold line, taking care to place the fourth module on top of the first module when folding it. When all the modules in the first row are folded, the module in the first row is located in the center of Figure 9, as shown in Figure 6, and as the column number increases from the center to the 2nd column, then the 3rd column, and so on. placed on the outside.

Next, while rotating the radially extending strip of the drawing in a positive direction, fold all the modules in the second row distributed in four locations into the central part according to the fold lines. The shape is similar to that shown in Figure 6, with one module pulled toward the center. However, when folding it into the center,
It is important to be careful not to trap other modules inside.

Next, for all the modules in the third row, fold the folds of the modules into the center part according to the fold markings in the same way.
Continue folding in the same way until all the squares in the center are covered.

The cut parts are now placed adjacent to each other again and can be joined. The multi-series spiral laminated drawing of the present invention can be produced by properly bonding the parts where the back surfaces of the drawings are in contact with each other in the drawings that are vertically adjacent to each other.

Note that cutting to facilitate folding is not limited to the method shown in FIG. 5; FIG. 7 shows an example of another cutting method.

As explained above, by folding a drawing according to the method described above, it is possible to obtain a folded drawing that allows a desired part of the drawing to be easily opened and viewed.

[几班Ωdan] The shape of the multi-series spiral laminated drawing according to the present invention is a square.

By specifying the length of one side to a desired value, you can obtain a folded drawing of a rectangular drawing whose length and width are any integer multiple of that length (as long as the thickness of the drawing is thin enough). For example, in principle, drawings with unlimited magnification can be folded, but in reality there is a limit to the size of drawings that can be folded due to the thickness of the drawings. It is possible to obtain a drawing with the effect of

Further, the multi-series spiral laminated drawing has the effect that a desired portion of the drawing can be opened and viewed extremely easily while maintaining its size.

It also has the feature that it can be traced continuously from any part of the drawing in any direction beyond the page.

In particular, the method according to the present invention has the advantages of the method of Japanese Patent Application No. 62-212,680, and eliminates the limitation on the length in the shorter side direction of that method.

According to the method of the present invention, when folding a rectangular drawing, it is possible to prevent the border of the drawing from appearing within the page of the folded drawing.

Further, the orientation of the folded drawing can be made the same as the orientation of the original drawing.

Furthermore, it is possible to flatten the adhesive surface to prevent unfolding of the folded drawing during use, thereby facilitating the bonding work.

It has all the advantages of Japanese Patent Application No. 1982-212680.

Figure 1 shows 8 series 8 modules spiral laminated drawing, Figure 2 shows modules Figure 3 shows the combination of two modules Figure 4 shows 1 series 8 modules spiral Figure 5 is the original drawing for producing an 8-series 8-module spiral type stacked drawing. Figure 6 is the state in the middle of folding the drawing in Figure 5. Figure 7 is the
FIG. 5 is a diagram representing the original drawing of folding by different cutting from FIG. 5, respectively.

Claims (3)

[Claims] (1) A right-angled isosceles triangle (hereinafter referred to as the "superior triangle") of a drawing in the shape of a right-angled isosceles triangle (hereinafter referred to as the "triangular drawing"), and the said triangular drawing (hereinafter referred to as the "superior triangular drawing"). A right-angled isosceles triangle (hereinafter referred to as "lower triangle") of another triangular drawing (hereinafter referred to as "lower triangular drawing") that has a shape congruent with the shape of (hereinafter referred to as "lower triangle drawing") shares a long side part, and the upper triangular drawing Containing a plurality of continuums (hereinafter referred to as "modules") of two triangular drawings that are connected to a lower triangular drawing and have a configuration in which a right-angled vertex of the lower triangle is subordinate to a right-angled vertex of the upper triangle, The above module (hereinafter referred to as "No. 1 module")
The lower part of the long side (hereinafter referred to as the "long side of the first module") shared by the upper triangle and the lower triangle of is connected to another module (hereinafter referred to as the "second module ) has a configuration in which the long sides of the upper triangle of the No. 2 module intersect, and the right-angled vertex of the upper triangle of the No. 2 module and any one end point of the long side of the No. 1 module (hereinafter referred to as "the lower connection of the No. 1 module ) share one point, and the lower connecting point of the first module is the end point of the side.
The short side of the lower triangle of the module No. 1 (hereinafter referred to as the "lower connection short side of the module No. 1") and the two short sides of the upper triangle of the module No. 2, the lower connection of the module No. 1 from below. The first module shares one side with the short side that can be overlapped with the second module (hereinafter referred to as "the upper connecting short side of the second module"), and the first module overlaps the second module.
Continuing with the issue module, it constitutes a two-module continuum,
The lower part of the long side of the second module has a configuration in which the long side of a module having a shape congruent with the shape of the second module (hereinafter referred to as the "third module") intersects, Of the two end points of the right-angled vertex of the upper triangle of the No. 3 module and the long side of the No. 2 module, the end point that is not the lower connection point of the No. 1 module (hereinafter referred to as "the lower connection point of the No. 2 module"). ) share one point, and the short side of the lower triangle of the No. 2 module whose end point is the lower connection point of the No. 2 module (hereinafter referred to as "the lower connection short side of the No. 2 module"), and the No. 3 module Of the two short sides of the upper triangle of the module, the short side that can be stacked from below on the lower connecting short side of the No. 2 module (hereinafter referred to as the "No. 3 module upper connecting short side") is one side. The two-module continuum is connected to the third module to form a three-module continuum, and the lower long side of the third module has a shape that is congruent with the shape of the third module. (hereinafter referred to as the "No. 4 module") has a configuration in which the long sides intersect, and the right-angled apex of the upper triangle of the No. 4 module and the third
Of the two end points of the long side of the No. 3 module, the end point that is not the lower connection point of the No. 2 module (hereinafter referred to as the "No. 3 module lower connection point") shares one point, and the No. 3 module shares one point. The lower of the two short sides of the lower triangle of the No. 3 module whose end point is the lower connection point (hereinafter referred to as the "No. 3 module lower connection short side") and the upper triangle of the No. 4 module. and the short side that can be overlapped with the lower connecting short side of the No. 3 module (hereinafter referred to as "the upper connecting short side of the No. 4 module"), and the three module continuum is the fourth module. A 4-module continuation of the No. 4 module constitutes a 4-module continuum, and further characterized in that a part of the No. 4 module of the 4-module continuum has a configuration located above the No. 1 module. Spiral laminated drawing (2) The long side of the module having a shape congruent with the shape of the No. 4 module (hereinafter referred to as the "No. 5 module") is located below the long side of the No. 4 module in the 4-module spiral stacked drawing. It has an intersecting configuration, and is the right-angled vertex of the upper triangle of the No. 5 module and the end point of the long side of the No. 4 module, which is not the lower connection point of the No. 3 module (hereinafter referred to as the "No. 3 module"). (hereinafter referred to as "No. 4 module lower connection point") and the short side of the lower triangle of the No. 4 module (hereinafter referred to as "No. 4 module lower connection short") which shares one point and has the said No. 4 module lower connection point as the end point. Among the two short sides of the upper triangle of the No. 5 module, the short side that can be overlapped with the lower connecting short side of the No. 4 module from below (hereinafter referred to as the "No. 5 module upper side") The 4-module spiral laminated drawing is connected to the No. 5 module by sharing one side with the "connected short side"), forming a 5-module continuum, and furthermore, the No. 5 module of the 5-module continuum is A 5-module spiral laminated drawing with a configuration located above the first module is constructed, and the following multi-module spiral laminated drawings are similarly constructed in which repeating modules are connected in a row. (3) The first side whose end point is the right-angled vertex of the upper triangle of the second module in the multi-module spiral laminated drawing.
The short side of the upper triangle of the No. module (hereinafter referred to as the "back row connecting short side") is the same as the multi-module spiral laminated drawing (
Hereinafter, it will be referred to as "first row spiral laminated drawing". ) with a shape congruent to the shape of other multi-module spiral laminated drawings (hereinafter referred to as
"Second row spiral laminated drawing". ), of the two short sides of the lower triangle of module No. 1, which is not the lower connecting short side (hereinafter referred to as the "front connecting short side"), The No. 1 module (hereinafter referred to as "2nd row No. 1 module") is located above the 1st row No. 1 module and below the 1st row No. 5 module, and is connected to the rear row of the 1st row No. 2 module. The short side is connected to the front row connection short side of the 2nd row, No. 2 module, and is positioned above the 1st row, No. 2 module and below the 1st row, No. 6 module, and the rear row connection of the 1st row, No. 3 module. The short side is connected to the front row connecting short side of the 2nd row, No. 3 module, and has an arrangement located above the 1st row, No. 3 module and below the 1st row, No. 7 module, and similarly, the 1st row spiral The rear row connecting short side of any module in the type laminated drawing is connected to the front row connecting short side of the module having the same number as the arbitrary module in the second row spiral type laminated drawing (hereinafter referred to as "back row module"), The entire first row of spirally laminated drawings is continuous with the entire second row of spirally laminated drawings, forming a two-series continuum of spirally laminated drawings, and any module of the second row of spirally laminated drawings of the two-series continuum. has a configuration located above the module of the first row spiral laminated drawing (hereinafter referred to as "front module") that is connected to the arbitrary module, and the number of modules of the multi-module spiral laminated drawing is selected from the above arbitrary module. The smaller of the number obtained by subtracting the column number of the multi-module spiral stacked drawing to which the module belongs (hereinafter referred to as the "first coefficient") or 5 (hereinafter referred to as the "second coefficient") is 3. Only in the above cases, the number obtained by adding the column number of the multi-module spiral laminate drawing to which the arbitrary module belongs to the second coefficient (hereinafter referred to as the "third coefficient") and the first number of the same number a two-series spiral laminated drawing having an orientation located below the modules of the row spiral laminated drawing and above the front module, and further having a shape congruent with the shape of the second row spiral laminated drawing The front row connecting short side of any module in the third row spiral lamination drawing that forms a row is connected to the rear row connecting short side of the front row module of the arbitrary module, and the entire two-series spiral lamination drawing is the third row spiral lamination drawing. Continuing throughout the drawing, it constitutes a three-series continuum of spiral laminated drawings, and any module in the third row spiral laminated drawing (hereinafter referred to as "target module") is above the module in the front row of the target module, If the second coefficient of the target module is 3 or more, below the module in the first row of spiral laminated drawings with the number equal to the third coefficient and above the module in the front row of the target module, If the 2 coefficient is 2, a 3-series helical laminate drawing is constructed with the configurations located below the modules of the second row helical laminate drawing of the number equal to the number of modules in the multi-module spiral laminate drawing. and, the front row connecting short side of any module of the fourth row spiral laminated drawing having a shape congruent with the shape of the third row spiral laminated drawing is connected to the rear row connecting short side of the front row module of the arbitrary module. Therefore, the entire three-series spiral laminated drawing is the fourth one.
The rows are connected to the entire spiral-type laminated drawing, forming a four-sequence continuum of the spiral-type laminated drawing, and the target module of the fourth column spiral-type laminated drawing is above the module in the front row of the target module. A number equal to the third coefficient of the target module in a multi-module spiral stacked drawing in a column with a number equal to the greater of either the number minus one coefficient or 1 (hereinafter referred to as the "fourth coefficient") A multi-series multi-module spiral laminated drawing is constructed in which the multi-module spiral laminated drawings are repeated in a series.