JP2000107436A - Toy for intelligence training - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a toy that a wide range of people from little children to adults can enjoy by constituting it of pieces that six unit cubes having each side length A are combined in a plane to form mutually different shapes except a linearly connected piece and pieces that three unit cubes, four unit cubes, and five unit cubes are linearly connected respectively. SOLUTION: When six unit cubes having one side length A are combined in a plane to form mutually different shapes, 35 pieces including a piece that six unit cubes are linearly connected can be formed, in which is included one obtained by connecting linearly six unit cubes, so 34 pieces of cubes can be obtained, when this linearly connected piece is removed, these pieces comprise 204 unit cubes. If a cube having each side length of 6A is formed, although 216 unit cubes are necessary, 12 unit cubes are deficient. Hence, these deficient 12 unit cubes are supplemented with pieces 35, 36, 37 that 3, 4, 5 unit cubes are linearly connected respectively so as to form these pieces having each side length of 5A, 4A, and 3A. In this way, a cube having each side length of 6A can be constituted by using all pieces 1-37.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

BACKGROUND OF THE INVENTION The present invention combines 37 basically differently shaped pieces into a cube having a side of 6A to form a cube having a side of 5A, 4A, 3A.
Alternatively, the present invention relates to an educational toy that can be rearranged and that can combine all pieces in a rectangular shape in a plane when stored.

[0002]

2. Description of the Related Art There have conventionally been various educational toys for producing three-dimensional objects using pieces of various shapes obtained by connecting a plurality of unit cubes each having an A side.
No. 5528 ", (3 ^ 3) + (4 ^ 3) + (5 ^ 3)
Focusing on the fact that (square) = (6 to the power of 3), use all the pieces that make up a cube with one side of 6A without any excess or shortage and divide it into cubes with one side of 3A, 4A, 5A and rearrange it. There were no educational toys that could be used.

[0003]

It is clear from Fermat's theorem that there are no natural solutions of a, b and c that satisfy (a cubed) + (b cubed) = (c cubed). is there. However, (a cubed) + (b cubed) + (c
The natural number solutions of a, b, c, and d satisfying (the third power of) = (the third power of d) exist in a single-digit natural number and continuously.

[0004] The problem to be solved by the present invention is to incorporate such mystery into a puzzle so that even a college student can make it a difficult puzzle, and at the same time, even a young child can work on this puzzle with a sense of playing with a knitting tree. This makes it possible to touch the charm of mathematics without knowing it, from infants to elementary and junior high school students, it is possible to grow up as a math lover while playing, and from high school students to college students or adults, you can enjoy the difficulties To develop a wide educational toy.

[0005]

Means for Solving the Problems The educational toys of claim 1 of the present invention are described as follows: "All of the toys other than those formed by combining six unit cubes each having a side of A in a plane and connecting them in a straight line" 34 pieces (1) to (34) with different shapes of
One piece (35) consisting of three unit cubes connected in a straight line
And two pieces (36) connecting four unit cubes,
It is composed of one unit in which five unit cubes are connected in a straight line. "

[0006] According to this, in claim 1, a total of 37
Using the pieces (1) to (37), it is possible to form a cube with a side of 6A, and use all of these pieces without excess or shortage to form 5A, 4A, 3A cubes one by one. Is possible, and vice versa, so (3 to the power of 3)
+ (4th power) + (5th power) = (6th power) can be proved in a knitting manner.

In other words, (a cubed) + (b cubed)
A, b, c, d satisfying + (cube of c) = (cube of d)
Is a very difficult puzzle by incorporating the mysteries that exist in a single-digit natural number and continuously in a natural number into a wooden puzzle and basically changing the shapes of the pieces. Things were done.

[0008] And since this difficult puzzle is constructed in the form of a knitted wood, it can be enjoyed as if it is a knitted wood for young children to elementary and junior high school students, and it is true for high school students, college students or adults. You can enjoy the difficulty.

[0009]

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS The present invention will be described below in detail with reference to the illustrated embodiments. The intellectual toy of the present invention disassembles pieces forming a cube having a side of 6A, and makes a cube having a side of 5A, 1
The object of the present invention is to make it possible to create a cube having a side of 4A and a cube having a side of 3A one by one or vice versa. (See FIGS. 1, 2, and 3) First, the basic concept of the educational toy of the present invention will be described.

In order to form a cube having a side of 6A and a unit cube having a side of A, 6 × 6 × 6 = 216 unit cubes are required.

On the other hand, when six pieces of unit cubes each having an A side are combined in a plane to form pieces having different shapes, 35 pieces are formed. Among them are 6
A unit in which a plurality of unit cubes are connected in a straight line is also included, but this is excluded for reasons described later, and there are (35-1) = 34 types. These are shown as (1) to (34) in FIG. If these are converted into unit cubes, 34 × 6 = 204, which is less than the required 216 unit cubes. Therefore, this shortage of 12 pieces, one side is 5
A piece (35) in which three unit cubes are linearly connected, a piece (36) in which four unit cubes are linearly connected, and 5 so that A, 4A, and 3A cubes can be made. The unit cube was filled with a piece (37) connected in a straight line. Thus, 204 + 3 + 4 + 5 = 216, and the required number is satisfied. Here, combining in a plane means that six unit cubes are in the same plane.

Next, the excluded "piece in which six pieces are connected in a straight line" (see FIG. 2) is one of "pieces having different shapes formed by combining six unit cubes each having an A side in a plane". Explain the reason why it cannot be used as one. In the educational toy according to the present invention, "The pieces forming a cube having one side of 6A are separated, and a cube having one side of 5A, a cube having a side of 4A, and a cube having a side of 3A are made one by one. The purpose of this is to say, "a piece in which six pieces are connected in a straight line" can form a part of a cube with a side of 6A, but a cube with a side of 5A, a cube with a side of 4A, It cannot be used for a cube whose one side is 3A.

Therefore, a cube having a side of 5A and a side of 4A
In order to be able to use a cube of 3A on one side, a combination of the above-mentioned 12 unit cubes that are insufficient, including "a piece in which 6 unit cubes are connected in a straight line" It is composed of one piece (35) connecting four unit cubes in a straight line, one piece (36) connecting four unit cubes in a straight line, and five unit cubes (37). It was to be. This makes the total number of pieces 37.

The material of each of the pieces (1) to (37) according to the present invention may be any material, but is generally a cube made of wood or plastics, and may be hollow for weight reduction. Good, but of course, it may be a solid body to give a sense of volume.

Although the unit cube is shown in one color in this embodiment, the unit cube may be divided into a plurality of colors, or may be divided by unit surface (= the surface constituting the unit cube). Good.

FIG. 1 shows pieces (1) to (37) according to the present invention.
FIG. 2 shows a unit cube 6 not used in the present invention.
It is a top view of a continuum. Also, Fig. 3 and below are pieces
In the procedure for assembling a cube using (1) to (37), the numbers of the respective pieces are attached to the drawings to make the assembling procedure clear.

FIG. 3 to FIG.
It is drawing which shows the procedure at the time of assembling the cube of A using the pieces (1)-(37).

FIGS. 11 to 13 show a cube having a side of 3A.
The procedure when assembling using a part of the pieces (1) to (37) is shown.

FIGS. 14 to 17 show a procedure for assembling a cube having a side of 4 A using a part of the pieces (1) to (37). The piece used here is 3
A piece assembled from the cube of A is not used, and a piece selected from the remaining pieces is used.

FIGS. 18 to 22 show the pieces (1) to (37).
The procedure for assembling a cube having a side of 5A is shown using a part of them. The piece used here is 3
The pieces assembled with the cube of A and the cube of 4A are not used, and all the remaining pieces are used.

FIG. 23 is a plan view showing a case where the pieces (1) to (37) are stored in a plane without any excess or shortage.

Thus, a 6A cube can be formed by using all of the pieces (1) to (37), and when the 6A cube is disassembled, the constituent pieces can be used without excess or shortage. Each cube having sides of 3A, 4A, and 5A can be configured one by one. This gives 3 3 +4 3
It is proved that the cube of power + 5 cubed = 6 cubed, and it can be seen that the educational toy according to the present invention is configured based on the above formula. The assembling method shown in the drawings is merely an example of the assembling method, and other assembling methods are naturally included.

[0023]

The educational toy according to the present invention comprises: (a-3)
The natural number solutions of a, b, c, and d satisfying (the power of 3) + (the cube of b) + (the cube of c) = (the cube of d) exist continuously in one-digit natural numbers. Since the 34 basic pieces consisting of 6 units have different shapes from each other, it is possible to make the puzzle extremely difficult as a puzzle. You can work on the fun of mathematics while playing with your senses, and you can grow up as a math lover. In addition, high school students, college students, and adults could truly enjoy the difficulty of puzzles, making it an educational toy that could be enjoyed in a wide range from infants to adults.

[Brief description of the drawings]

FIG. 1 is a front view of pieces 1 to 37 according to the present invention.

FIG. 2 is a front view of a piece in which six unit cubes not used in the present invention are arranged in a straight line.

FIG. 3 is a perspective view of a first stage in which a cube having a side of 6A is assembled by combining pieces in the present invention.

FIG. 4 is a perspective view of a second stage of assembling a cube having a side of 6 A by combining pieces in the present invention.

FIG. 5 is a perspective view of a third stage in which a cube having a side of 6A is assembled by combining pieces in the present invention.

FIG. 6 is a perspective view of a fourth stage in which a cube having a side of 6A is assembled by combining pieces in the present invention.

FIG. 7 is a perspective view of a fifth stage in which a cube having a side of 6A is assembled by combining pieces in the present invention.

FIG. 8 is a perspective view of a sixth stage of assembling a cube having a side of 6 A by combining pieces in the present invention.

FIG. 9 is a perspective view of a seventh stage in which a cube having a side of 6 A is assembled by combining pieces in the present invention.

FIG. 10 is a perspective view showing a completed state of a cube having a side of 6 A and combining pieces in the present invention.

FIG. 11 is a perspective view of a first stage of assembling a cube having a side of 3A by combining pieces in the present invention.

FIG. 12 is a perspective view of a second stage of assembling a cube having a side of 3A by combining pieces in the present invention.

FIG. 13 is a perspective view showing a completed state of a cube having a combination of pieces and having a side of 3A in the present invention.

FIG. 14 is a perspective view of a first stage of assembling a cube having a side of 4 A by combining pieces in the present invention.

FIG. 15 is a perspective view of a second stage of assembling a cube having a side of 4 A by combining pieces in the present invention.

FIG. 16 is a perspective view of a third stage in which a cube having a side of 4A is assembled by combining pieces in the present invention.

FIG. 17 is a perspective view showing a completed state of a cube having a side of 4A and combining pieces in the present invention.

FIG. 18 is a perspective view of a first stage in which a cube having a side of 5A is assembled by combining pieces in the present invention.

FIG. 19 is a perspective view of a second stage of assembling a cube having a side of 5 A by combining pieces in the present invention.

FIG. 20 is a perspective view of a third stage in which a cube having a side of 5A is assembled by combining pieces in the present invention.

FIG. 21 is a perspective view of a fourth stage in which a piece having a side of 5A is assembled by combining pieces in the present invention;

FIG. 22 is a perspective view of a completed state of a cube having a side of 5A, which is a combination of pieces, according to the present invention.

FIG. 23 is a plan view showing a completed storage state when the pieces are combined and stored in a plane according to the present invention.

[Explanation of symbols]

 (1)-(37)… Peace

[Procedure amendment]

[Submission date] December 15, 1998 (1998.12.
15)

[Procedure amendment 1]

[Document name to be amended] Drawing

[Correction target item name] Fig. 1

[Correction method] Change

[Correction contents]

FIG. ────────────────────────────────────────────────── ───

[Procedure amendment]

[Submission date] January 6, 1999 (1999.1.6)

[Procedure amendment 1]

[Document name to be amended] Drawing

[Correction target item name] FIG.

[Correction method] Change

[Correction contents]

FIG.

[Procedure amendment]

[Submission date] October 1, 1999 (1999.10.
1)

[Procedure amendment 1]

[Document name to be amended] Statement

[Correction target item name] Claim 1

[Correction method] Change

[Correction contents]

[Procedure amendment 2]

[Document name to be amended] Statement

[Correction target item name] 0005

[Correction method] Change

[Correction contents]

[0005]

According to the present invention, there is provided an educational toy according to the first aspect of the present invention, which is a device other than a unit formed by combining six unit cubes each having a side of A in a plane and connecting them in a straight line, 34 pieces, all of which are different from each other, 3
One piece of unit cubes connected in a straight line, 4
One piece of unit cubes connected in a straight line, 5
It constructed a number of unit cube and one piece connected linearly, standing one side using all these 37 pieces 6A
Construct a solid body and use these pieces without excess or shortage
And one cube of 3A, 4A, 5A on each side
It consists of pieces that can be formed one by one . "

[Procedure amendment 3]

[Document name to be amended] Statement

[Correction target item name] 0006

[Correction method] Change

[Correction contents]

According to this , (3.sup.3) + (4.sup.3)
It can be proved in a braided manner that (power) + (5 to the power of 3) = (6 to the power of 3).

Claims (1)

[Claims] 1. A unit cube other than one formed by combining six unit cubes each having a side of A in a plane and connecting them in a straight line, all of which have 34 pieces different in shape from each other, and three unit cubes Is composed of one piece connected linearly, one piece connected linearly with four unit cubes, and one piece connected linearly with five unit cubes. Characterized educational toys.