JPS6190689A - Square polygonal body or rectangular parellelepiped characterized in making other same shape body freely dechable through same shape surface - Google Patents

Abstract

(57) [Summary] This bulletin contains application data before electronic filing, so abstract data is not recorded.

Description

Detailed Description of the Invention (Technical Field) The present invention relates to a regular polyhedron in which one of the same-shaped bodies can be attached and detached from each other via the same-shaped surface in order to assemble a plurality of regular polyhedra or rectangular parallelepipeds of the same shape. , or related to a rectangular parallelepiped.

(Prior Art) In recent years, puzzles have become popular in which a large number of regular polyhedrons or rectangular parallelepiped polyhedra of the same shape are prepared and these are assembled into various shapes. However, as the number of polyhedrons to be handled increases and the assembled shape becomes larger, there is a risk that the assembled object will easily collapse.

In such a case, if the surfaces of each polyhedron that touch each other are removable, the surfaces of the same shape will be joined when assembled into various shapes, and when each polyhedron is disassembled, it will be necessary to pull each polyhedron separately. It can be turned off by releasing it, which is extremely convenient.

By the way, in general, when joining objects, there are cases where (1) objects adhere to each other in any case and do not repel each other, such as between objects with glue attached (this is called non-polar bonding). ), □(2) For example, when 11 matches, such as the N pole or S pole of a magnet, or the static charge of 10 and the static charge of - (in these examples, when the polarities are different), , but if the combinations do not match (in these examples, the polarities are the same), they repel each other (such a bond is called a polar bond).

Another example of polar bonding is to provide a convex portion on one side,
A coupling method that involves providing a concave part on the other side and inserting a convex part into the concave part (in this case, insertion is not required if the faces are mutually convex or if the faces are mutually concave). (This is possible, and whether or not they can be joined is determined by the combination, so the joining has polarity.)

By the way, when non-polar bonding such as applying glue to each surface of a regular polyhedron or rectangular parallelepiped is used, it is extremely difficult to separate the surfaces of the regular polyhedron or rectangular parallelepiped after they are bonded.

On the other hand, for example, when one of the N pole or S pole of a magnet is placed on the surface of a surface constituting a regular polyhedron or a rectangular parallelepiped,
When using polarity, if the polarity is opposite, they can be joined and separated. Regarding surfaces, it is impossible to arbitrarily join the surfaces of any element (out of a total of 3 combinations for 3 surfaces,
For a single combination, since they have the same polarity, they will repel each other. ).

(Purpose) The present invention focuses on the problem that cannot be solved by simply using conventional non-polar junctions and polar junctions. The purpose of the overall bonding is to provide a non-polar bonding method.

(Background of the Invention) Most polyhedra used as elements of assembly puzzles are regular polyhedra and rectangular parallelepipeds. Regular polyhedra include tetrahedron,
Limited to hexahedrons, octahedrons, dodecahedrons, and icosahedrons.
In addition, the polygons constituting each regular polyhedron are regular triangles for a regular tetrahedron, regular tetragons for a regular hexahedron, regular triangles for a regular octahedron, pentagons for a regular dodecahedron, and regular 20
The face piece is a regular triangle. On the other hand, the faces constituting the rectangular parallelepiped are squares and rectangles.

Focusing on the fact that the regular triangles, squares, rectangles, and regular pentagons that make up these regular polyhedrons or rectangular parallelepipeds all have rotational symmetry and reflection symmetry about their center points,
If each surface of each regular polyhedron or rectangular parallelepiped is joined to each other by arranging each pair of polar joints on each face, there are combinations of polarities that can be joined to the mutual surfaces of faces of the same shape. The idea behind the present invention is to arrange it in such a way.

(Structure of the Invention) First, a structure of the present invention in which a magnetic pole is used as a locally used polar junction will be described.

The first feature of the configuration in this case is that each face of the polyhedron has a number of pairs of magnetic poles equal to the number divided by 360 degrees or a multiple thereof, which is the reference angle for the rotational symmetry of each face. be.

In other words, in the case of regular triangles that constitute a regular tetrahedron, a regular octahedron, and a regular icosahedron, the angle that serves as the reference for rotational symmetry is 1.
Since the angle is 20 degrees, the value obtained by dividing 360 degrees by 120 degrees is 3, and three or multiple pairs of magnetic poles are prepared.

In the case of a square that makes up a regular hexahedron, the reference angle for rotational symmetry is 80 degrees, so prepare four pairs of magnetic poles or a multiple thereof, and In this case, the reference angle for rotational symmetry is 72 degrees, so prepare at least 5 pairs of magnetic poles or a multiple thereof. Since the angle is 180 degrees, the pair of magnetic poles on the side of two or a multiple thereof is called a.

The second feature of the configuration is that the plurality of pairs of magnetic poles are arranged so as to have rotational symmetry of each plane and circular symmetry.

That is, the plurality of pairs of magnetic poles arranged have 120 degree rotational symmetry when one side is a regular triangle, 90 degree rotational symmetry when one side is a square, and when one side is a regular pentagon. If the surface is rectangular, it will have a rotational symmetry of 72 degrees, and if the surface is rectangular, it will have a rotational symmetry of 180 degrees.
They are arranged so as to have degree rotational symmetry.

This means that when joining the faces of the same shape between regular polyhedra or rectangular parallelepipeds, as long as the vertices of the faces match, even if one or both faces are rotated,
This requirement stems from the fact that even if the combination of matching vertices is changed, corresponding magnetic poles always exist.

The third feature of the configuration is that for the center line of mirror symmetry of each surface,
The existence of mutually opposite magnetic poles in symmetrical positions.

That is, in the case of a regular triangle, the north and south poles are located at symmetrical positions with respect to the line connecting each vertex and the center line of the opposite side,
In the case of a square, the N and S poles are located at symmetrical positions with respect to the line connecting the center lines of each side or the lines connecting the vertices at diagonal positions, and in the case of a regular pentagon, each The north and south poles are in symmetrical positions with respect to the line connecting the vertex and the center point, and in the case of a rectangle, the north and south poles are in symmetrical positions with respect to the line connecting the center lines of opposite sides. It is.

As shown in Fig. 1, when surfaces of the same shape are joined to each other (in Fig. 1, an example of an equilateral triangle is shown),
), position 1 (indicated by an x mark) on one side is B on the other side
If the position 2゛ (indicated by the O mark) is the joining position, then the position 1° (indicated by the dotted x mark) corresponding to 1 of the surface A on the surface B and the position 2° are in a mirror-symmetrical relationship. Similarly, as is clear from the fact that there is a mirror symmetry relationship with position 2 (indicated by the dotted O mark), which corresponds to 2° of surface A and surface B,
The position where one surface joins the other surface is based on the fact that the position on one surface corresponds to a point of mirror symmetry of its own position.

The arrangement of magnetic poles on each surface that satisfies the above three requirements will be explained with reference to the drawings.

Figures 2(a) and 2(b) show the arrangement of magnetic poles in a regular triangle constituting a regular polyhedron.

FIG. 2(a) shows an embodiment in which three pairs of magnetic poles are arranged, and FIG. 2(b) shows an embodiment in which six pairs of magnetic poles are arranged.

Similarly, FIGS. 3(a) and 3(b) show embodiments in which four and eight magnetic poles are arranged in a square, respectively.

FIG. 4 shows an example of the arrangement of magnetic poles in a regular pentagon (note that an example in which the number of magnetic pole pairs is further increased in FIG. 4 is also conceivable, but this is ), it would be possible to naturally assume according to Figure 3(b)).

Figures 5(a) and 5(b) show 2 in each rectangle.
An example in which four magnetic poles are arranged is shown.

The fourth characteristic of the structure is that the magnetic poles on each surface are arranged in the same direction.

As shown in Figures 6(a) and (b), when the magnetic poles are arranged in the same direction, the vertices of the faces of the same shape constituting a regular polyhedron or rectangular parallelepiped match each other. ,
If the arrays are in the same direction, the opposite magnetic poles will always touch each other, and the two surfaces will be joined, but if the arrays are in the opposite direction, the vertices of the same-shaped surfaces will be matched. It is also clear from the fact that even if the magnetic poles on each surface are the same, they will come into contact with each other, and they will repel each other, making it impossible to join the surfaces.

As in the above configuration, a plurality of pairs of magnetic poles are formed into a regular polyhedron l.
is provided on the surface of each surface constituting a rectangular parallelepiped, so that when objects of the same shape are joined, different magnetic poles always exist at corresponding positions and attract each other. It becomes possible to achieve the purpose.

In the above explanation, only pairs of magnetic poles are shown on each surface in FIGS. 2 to 8, but as shown in these drawings,
It is also possible to embed each magnet directly in the surface and expose only the magnetic poles on the surface, or as shown in Figure 7, it is also possible to arrange bar magnets parallel to the surface to obtain a pair of magnetic poles. (In the case of FIG. 7, only the case of a square surface is particularly shown, but the same applies to the case of other surfaces.)

Although the configuration in which magnetic poles are used as local polarized junctions of the surfaces has been described above, the object of the present invention can also be achieved by providing protrusions and recesses for attachment and detachment on each surface instead of this. It is possible. The thermal convex portion and the concave portion are required to have a size and shape that allow mutual insertion and removal. The configuration regarding the arrangement of the pair of convex portions and concave portions is exactly the same as the configuration described above regarding the magnetic poles.

Figures 8 (a), (b), (c), and (d) show multiple pairs of convex portions and concave portions in regular triangles, squares, regular pentagons, and rectangles constituting a regular polyhedron or rectangular parallelepiped. An example of the arrangement is shown below.

(Effects) According to the present invention configured as described above, regular polyhedrons or rectangular parallelepipeds of the same shape can be freely joined via the same shape surfaces,
And it becomes possible to remove it.

As a result, even if a large number of these regular polyhedra or rectangular parallelepipeds are combined to form various shapes, each polyhedron will be strongly bonded to each other, so the configured shape will not collapse, and it can be removed freely. It is also possible to remove and separate each element.

[Brief explanation of the drawings] Figure 1 - A plan view explaining that the position where one surface joins the other surface corresponds to the mirror symmetry point of its own position on one surface. Figures 2 to 5: Examples showing the arrangement of magnetic poles on each surface constituting the regular polyhedron or rectangular parallelepiped element of the present invention Figures 6 (a) and (b): The arrangement of the magnetic poles is the same Fig. 7 is a sketch showing whether or not bonding is possible in the case of the direction and in the case of the opposite direction; a), (b),' (c), (d)Fig.
2. A plan view showing an embodiment in which a plurality of pairs of convex portions and concave portions are arranged on a surface constituting a regular polyhedron or rectangular parallelepiped element of the present invention.Applicant's attorney/patent attorney Nao Akao Personnel 2 (α) )
Figure 2(b) Figure 3(α) $ 3 (b) Figure 4 Figure 6(0) Figure 6(b) Layer 7 (2I

Claims (2)

[Claims] (1) On each face constituting a polyhedron, the number of pairs of magnetic poles equal to or a multiple of 360 degrees divided by the rotationally symmetrical angle of the face is provided on the surface of the face, and each pair of magnetic poles is mutually The polyhedron has the same rotational symmetry as the surface, and the magnetic poles are arranged symmetrically with respect to the line of reflection symmetry of the surface, and the column direction of the magnetic poles on each surface of the polyhedron is in the same direction. A regular polyhedron or a rectangular parallelepiped, characterized in that it can be freely attached and detached between other identically shaped bodies through mutually identically shaped surfaces. (2) The surfaces of the polyhedron are provided with pairs of protrusions and recesses for attaching and detaching, the number of which is 360 degrees divided by an angle that is rotationally symmetrical to the polyhedron, or a multiple thereof. The pairs of convex portions and concave portions of the polyhedron have the same rotational symmetry with each other, and with respect to the line of reflection symmetry of the surface, the convex portions and the concave portions are arranged so that they are located symmetrically, and the polyhedron is A regular polyhedron or a rectangular parallelepiped, characterized in that the convex portions and concave portions of each surface are arranged in the same direction, and the surfaces of the same shape can be attached and detached from each other through the same shape surfaces.