JPS6134358B2 - - Google Patents

Description

[Detailed description of the invention]

The present invention is a three-dimensional puzzle in which pieces with protrusions and holes provided on the sides of a plate-shaped rectangular parallelepiped are arranged in parallel, the remaining pieces face each other, and the protrusions are inserted into each other's holes to connect all the pieces to form a cube. It is related to. Next, embodiments of the present invention will be described with reference to the drawings. As shown in Figure 1, a rectangle 1a (1x5) on the side of a rectangular parallelepiped 1 (1x2.5x5) is divided into unit squares. Next, as shown in Figure 2, when providing one protrusion 2 and one hole 3 of the same size as the protrusion 2 perpendicularly to the rectangle 1a at the center of the unit square, the arrangement of the protrusion 2 and hole 3 is reversed. If we find pieces in different arrangements, including the case where the pieces are arranged differently, we obtain ten types of pieces A to J, as shown in Figure 3. Here, A and J, B and I, C and G, and E and H are mirror images of each other, but D and F become mirror images because the positions of the protrusion 2 and hole 3 are symmetrical.
Therefore, as shown in Figure 4, two pieces form a rectangular parallelepiped (1 x 5
You can make up to four pieces of ×5), but because there are pieces D and F, you cannot make a cube using all the pieces by combining the rows of pieces. As shown in Figure 5, a row formed by a row of five pieces is opposed by a row of other five pieces, forming a cube. The complete solution to this puzzle is shown below. Let the protrusion 2 be p and the hole 3 be h.

[Table] And for each n, n′,′ here are changed to vertical symmetry, n′ is changed to horizontal symmetry, and h and p are shown.
Shows what was replaced. for example

[Table] However, when n=11 and 12, n' and 'n match, so a total of 44 solutions can be obtained. It is difficult to form a cube by arranging the pieces so that one protrusion 2 and one hole 3 are in each row and column, and aligning the rows and columns of the remaining half of the pieces in mirror images, and the rectangle 1a on the side is made into a unit square 4. Even if the numbers of protrusions 2 and holes 3 are changed, there is no combination that can be made into a cube by the above method using all the pieces determined by one rule. This is due to a rare combination. As described above, the present invention can provide a puzzle that is difficult to complete, has a large number of completion patterns, but becomes a simple and clear cube when completed, giving joy to the players, and can be played by both adults and children.

[Brief explanation of the drawing]

FIG. 1 is a perspective view of the rectangular parallelepiped 1. Figure 2 is a rectangular parallelepiped 1
FIG. FIG. 3 is a perspective view of all the pieces of the present invention. Figure 4 is a perspective view showing that even if mirror-image pieces face each other, they cannot be assembled into a cube. FIG. 5 is a perspective view of the completed puzzle of the present invention.

Claims (1)

[Claims] 1 Side rectangle 1 of cuboid 1 (1 x 2.5 x 5)
Divide a (1 x 5) into unit squares, arrange one protrusion 2 and one hole 3 in each rectangle 1a, and find the limits of 10 types of pieces A to J, which are the limits obtained by finding pieces with different arrangements. A three-dimensional puzzle that is assembled into a cube (5 x 5 x 5) using pieces.