JP2003071149A - Icosahedron puzzle using sheared regular tetrahedrons - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a puzzle of assembling single solid blocks to form a shape of a soccer ball (sheared regular icosahedron) (FIG. 3) and the like such that patterns and magnetic poles match with each other at junctions, respectively. SOLUTION: Sheared regular tetrahedron building blocks (1) each having two pairs of magnetic poles (a solid composed of four regular hexagons and four regular triangles) are used to constitute an icosahedron (soccer ball shape) and the like. The regular hexagons (2) of the building blocks (1)are provided with patterns at the surfaces thereof to forming the puzzle.

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a building block (1) of a shear regular tetrahedron having two pairs of magnetic poles, and a puzzle using this building block (1).

[0002]

2. Description of the Related Art Puzzles dealing with icosahedron are "sphere puzzle (Japanese Patent Application No. 5-167495)" (a), "regular polyhedron three-dimensional puzzle (Japanese Patent Application 6-59772)" (b), "puzzle"
(Practical application 4-91747) "(C)," Assembled ball
(Actual application No. 7-4383) "(d) and the like are proposed.
(A) is difficult to realize because the shape of the parts is complicated and the wedge-shaped concave part is fitted into the convex part of the same type. (B) (c)
In (d), plate-shaped parts were assembled directly or on a sphere. Although it constitutes an icosahedron, it is planar.

A "toys for infants (Japanese Patent Application No. 7-344564)" has been proposed as a building block using magnets, but there are many types of parts.

[0004]

DISCLOSURE OF THE INVENTION The present invention provides a puzzle in which a variety of shapes, patterns, and magnetic poles are combined by using one type of unit block building block of a shear regular tetrahedron.

[0005]

A building block (1) according to claim 1 (Fig. 1) is one in which each vertex is dropped so as to divide a ridge of a regular tetrahedron into three equal parts, and sides of the same length. Of four regular hexagons (2) and four regular triangles (3), and each pair of the regular hexagons has two pairs of N2 and S2 magnetic poles. There is only one combination of N2S2 in a regular tetrahedron. Therefore, it is realized with a single building block. When different magnetic poles are brought close to each other, they are attracted and repelled at the same pole. Since it is only adsorbed, the direction can be freely changed without being fixed, and thus the joining can be performed as shown in FIGS.

Since each building block (1) is lightly fixed by the attractive force of the magnet (4), 20 building blocks (1) can be assembled into an icosahedron (60) on the palm.

By combining 20 building blocks (1) as shown in FIG. 3, a solid (60) having a soccer ball-like appearance in which a regular pentagonal portion is depressed is formed. At this time, one regular hexagonal surface (2) of each building block (1) appears one by one on the surface of the icosahedron (60). The method of joining at this time is all shown in FIG.

When forming a tetrahedron (FIG. 4) and a plate shape (FIG. 5), the joining method is as shown in FIG. 2 (b). The building blocks (1) can be combined in any way as long as they are attracted by magnetic force and do not collapse due to their own weight. It is also possible to configure an icosahedron with 20 tetrahedrons (100 blocks of building blocks (1)) composed of 5 blocks of building blocks (1) in FIG. 4B. If the magnetic force is sufficient, an icosahedron can be formed by 20 tetrahedral bodies of 14 building block (1) of FIG. 4C (280 building blocks (1)).

As described above, the building block (1) according to claim 1 has a very high degree of freedom in combination because it has a simple shape, and since it is not a rectangular coordinate system, an interesting inquiry that cannot be made by combining cubes is provided. Present.

The puzzle of claim 2 is a puzzle made by using 20 faces of a regular hexagon (2) appearing on the surface of an icosahedron (60). However, the construction of the building block (1) of the icosahedron (60) (including the combination of magnetic poles) and the other hidden faces of the regular hexagon (2) of the building block (1) are independent. Even in the icosahedron (60) having the same design, the arrangement of the designs of the individual building blocks (1) may be different. Therefore, it does not matter which pattern is placed on which surface of each building block (1). In addition, how to put the pattern of the puzzle is the building block (1)
It does not matter whether it is a sticker or a panel directly.

The puzzle of claim 2 can be roughly divided into four as shown in FIG. The type of design is the block 6 (6)
The type of contact points indicates the pattern on the sides of the adjacent regular hexagon (2), indicating how many patterns are applied to the polygon (2).

Since a single color or a single pattern has one kind of design and one kind of contact point, one arbitrary building block (1) of the icosahedron (60) is replaced with nine other building blocks ( It can be exchanged with 1). The other 10 blocks have different magnetic poles and cannot be replaced.

[0013] One straight road is a tree diagram of an unfolded icosahedron, and the one without branching is highly puzzleable.
The straight road is divided into those with direction and those with no direction.
Furthermore, the one in which the start point and the end point are adjacent to each other is the same as "around the world of Hamilton" in which all the vertices are rotated once around the vertices of a regular dodecahedron. This is positive 2
This is because connecting the midpoints of the regular triangles of the octahedron results in a regular dodecahedron. Around the world, the icosahedron (60) can be painted in two colors with the road as the boundary.

The triad is similar to the case where each surface of the regular dodecahedron is colored differently on the adjacent surfaces. This is positive 2
This is because each vertex of the octahedron is inscribed at the midpoint of each surface of the regular dodecahedron. Different colors such as 4 colors, 6 colors and 12 colors can be applied. Colors are arranged on the sides surrounding a pentagon in which five regular triangles (3) of an icosahedron (60) are gathered. There are only two combinations of four colors, the original combination and its symmetry. In the combination of 6 colors, there are 5 different colors around one certain color, and therefore, there are 24 combinations (circular permutation of 5).

The 30 contact points are such that the arrangement of adjacent hexagons is uniquely determined by the design or the like as if a globe was drawn on the entire icosahedron (60).

The building block (1) has a regular hexagon (2)
There are four, and any puzzle of claim 2 can be combined. The colors may be general ones such as red, blue, ki, and green, and textures such as marble and wood grain, symbols and characters.

[0017]

DESCRIPTION OF THE PREFERRED EMBODIMENTS A building block (1) according to claim 1.
Any material can be used. The inside may be hollow or filled. If the building block (1) is not an exact tetrahedron, a gap will be created when an icosahedron is formed, and the magnetic force will be weakened, so care must be taken. When it is hollow, the surface of the regular triangle (3) may be an opening.

The magnet (4) has four regular hexagons (2) with N
Two pairs of magnetic poles, S2 and S2, need only come out, and therefore, two bar magnets may be used instead of four, or a composite magnet having the same shape as the building block (1) may be used. It is also possible to incorporate a yoke in order to strengthen the magnetic force.

In the puzzle of the second aspect, since the magnetic force becomes weaker as the joint surface becomes thicker, the sticking method is convenient.
The sticker makes it easier to exchange puzzles. The sticker itself can be a puzzle. The difficulty level of the puzzle according to claim 2 also changes depending on which pattern of which building block (1) is placed on which surface.

The player has 20 building blocks (1)
For any one puzzle, select four sets of 20 puzzle stickers, and attach a seal to the regular hexagon (2) for all puzzles so that the icosahedron (60) can be completed. If it cannot be arranged well, the design of the icosahedron (60) will not be completed. Attaching the sticker to the building block in (1) can itself be a puzzle. At this time, the difficulty level of the puzzle to be completed changes depending on which pattern is placed on which surface. Therefore, it is possible for another player to try the puzzle created by himself.

It is of course possible to provide the player with a building block (1) to which a difficult puzzle combination is attached in advance.

If a player gets tired of one puzzle,
By selecting another puzzle and changing the sticker, you can enjoy playing forever.

[0023]

EXAMPLE A soccer ball-like icosahedron (60) can be constructed as shown in FIG. 3 by using 20 building blocks (1) of claim 1. Further, as shown in FIG. 4, four tetrahedrons of one, five, and fourteen or four blocks of the building block (1) of FIG. .

The puzzle of claim 2 has one set for each regular hexagon (2) on the surface of the icosahedron (60), and a set of 20 sets, and the building block (1) has four faces, so any puzzle 4
Combinations can be combined. Each of the four puzzles is independent, but it is like a globe (the contact types are 3
For 0), the combination of building blocks (1) is uniquely determined by one set, but 20
Arranging four sets of globe patterns on the face piece (60) would be very difficult.

The puzzle of claim 2 is a building block (1)
It is possible to combine 20 puzzles into one set, but it is also possible to combine 8 puzzles into 2 puzzles and 40 puzzles.

When four sets of different single colors are selected, 2
It is easy to make the same color appear on the 0-hedron (60), but it is possible to prevent the same color from adjoining each other (four-color problem), or to combine them as shown in FIGS. 4 (a) (b) (c). Alternatively, it is possible to perform color matching with four groups shown in FIG.

FIG. 6 is a development view of an example of a single road having a set of a start point and an end point. FIG. 12D is a perspective view of the completed puzzle.
FIG. 7 is a development view of an example of a round the world. FIG. 12B is a perspective view of the completed puzzle in which the road is used as a boundary and the two colors are separately painted. FIG. 8 is a development view of what is divided into four "?" Marks around the world. FIG. 12E is a perspective view of the completed puzzle.
FIG. 9 is a development view of an example of 30 contacts. In this example, there are few types of contacts because the patterns at the contacts are symmetrical. Figure 1
2 (c) is a perspective view of the completed puzzle. FIG. 10 shows an example of providing a puzzle around the world with directions. FIG. 12F is a perspective view of the completed puzzle. FIG. 11 shows an example of providing a puzzle of three colors and four colors. FIG. 12A is a perspective view of the completed puzzle.

The regular tetrahedron has the property of space filling,
By using a regular tetrahedron in which the corners have been dropped, the number of joining methods has increased, and a variety of ways of assembly have been realized, as shown in Figs. The icosahedron (60) in FIG. 3 has a corner, so that it looks like a soccer ball, and has a regular icosahedron cavity for about one building block (1) in the center. .

If the magnetic force is sufficient, 20 tetrahedrons composed of 5 or 14 building blocks (1) can be used to further form an icosahedron. It is a set of 20 pieces, but it is not limited to that and you can combine any number of pieces. Moreover, even one piece can be used like a magnetic marker.

Unlike the cube, the building block (1) having a sheared tetrahedron has a non-orthogonal coordinate system, so that it can develop a sense of space that is difficult to experience on a daily basis.

The puzzle of claim 2 can be freely attached to the building block (1) by using a seal, and the difficulty level of the puzzle can be changed depending on the attachment method.

The puzzle of claim 2 is still a puzzle if the panel is made independently from the building block (1) of claim 1 and the connection of the contacts is devised, but the building block (1)
Combined with, it became more than 4 times more interesting.

Although it is a soccer ball-like icosahedron (60) puzzle, I notice that I am thinking of a regular dodecahedron. This is especially true around the world and on the three sides. This is because there is a close relationship between the regular icosahedron and the regular dodecahedron.

The combination of the magnetic poles of the building block (1) forming the icosahedron (60) is the same as that of a unidirectional road with directionality, and a branch road of any direction is provided. Two outgoing arrows One incoming arrow Design 1
If 10 patterns of 0 sheets and 1 arrow of the exit direction and 2 arrows of the entering direction are attached so as to be equal to the magnetic poles, it is possible to see how to combine the invisible magnetic poles of the icosahedron (60).

It is possible to play a checker-like game by using a combination of plates as shown in FIG. 5 as a game board and using the building block (1) as a piece. Thus, the set of building blocks (1) provides a game platform.

[Brief description of drawings]

FIG. 1 Perspective view of building block (1)

[Fig. 2] How to join building blocks (1)

Fig. 3 Combination of icosahedron with 20 building blocks (1)

FIG. 4 Combination of regular tetrahedrons

[Figure 5] Plate-shaped combination

[Fig. 6] Development view of a straight road

[Fig. 7] A development view around the world

[Figure 8] Four "?" Mark development diagrams

FIG. 9 Exploded view of 30 contacts

[Fig. 10] Example of one straight road (footsteps around the world)

FIG. 11: Example of three-sided (four colors)

[Figure 12] Puzzle pattern perspective view

[Figure 13] Types of puzzle symbols

[Explanation of symbols]

1 building blocks 2 regular hexagon 3 regular triangle 4 magnets 5 to 48 Development view Joining side 60 icosahedron composed of 20 building blocks

Claims (2)

[Claims] 1. A building block (1) having two pairs of N2 and S2 magnetic poles in four regular hexagonal portions (2) of a sheared tetrahedron. 2. A puzzle using 20 regular hexagons on the surface of a solid body (60) formed by forming an icosahedron using 20 building block (1) of claim 1.