KR200485973Y1 - A top-type number-decision tool utilizing 2 exponents - Google Patents

Abstract

According to the present invention, (n + 1) number blocks in which the exponents 2 ⁿ of successive 2 (n is 0 or a natural number) (e.g., 1, 2, 4, 8 and 16) The number between 0 and (2 ^{n + 1} -1) in a single operation can be easily determined with the same probability using a top-like numerical determination tool including a center rod that penetrates and connects.

Description

A top-type number-decision tool utilizing 2 exponents using an exponent of 2

The present invention relates to a top-type number determination tool utilizing an index of two, and more specifically, to a top-type number determination tool utilizing a binary method so that a certain range of numbers can be selected with the same probability.

Dice, drawing, roulette, and the like have been used since ancient times as a tool for selecting one of the numbers within a certain range by one operation with the same probability.

If you use a hex dice, you can choose any one of the numbers from 1 to 6 with the same probability in one operation. If you use a regular icosahedron and regular icosahedron, you can select a maximum of 20 numbers with the same probability in a single operation. The use of two or more dice has the problem of allowing more numbers or a wider range of numbers to be selected in a single operation, but the possibility of selecting these numbers at the same probability is reduced.

Also, drawing can be done by putting a certain range of numbers in the form of paper, rods, balls, etc., and putting it in the selection box, and selecting one of them by selecting the number. It is troublesome to check whether all the numbers are present in the selection box .

Roulettes can be so interesting as to be used in casinos, and the same probability is guaranteed for each number, but it is difficult to make the apparatus complicated and to make the shape and size (area) of the numerical compartment the same. In addition, the fact that it is used in casinos may be a problem for young children as a learning parish.

It is known that the summation of consecutive numbers of two consecutive numbers can be combined without fail. For example, in the range ^{of, 2 0, 2 1, 2} 2, 2 3, ..., 2 n when combined to select one or more (n is 0 or a natural ^{number), 1 ~ (2 n +} 1 -1) All numbers can be combined. In particular, n = 3 when il 2 ^0, 2 ^1, 2 ^2, 2 ^3, that is, when summing to select from one to four of the number 1, 2, 4 and 8 1 - (2 ^{3 + 1} - 1) It is possible to combine the ranges, that is, numbers from 1 to 15, with only one combination to make each number.

A numerical or numeric learning paradigm, which can combine and combine consecutive numbers within a certain range by selecting and summing one or more consecutive 2 exponents as described above, can be advantageously used for teaching students.

A number determination or a numerical selection which can easily and intentionally determine a numerical value within a certain range with the same probability by taking advantage of the fact that one or more successive exponents of two can be selected and summed to combine successive numbers within a certain range To develop a teaching paradigm.

The present inventor has index 2 ⁿ of a series of 2 (n is 0 or a natural number) (for example 1, 2, 4, 8 and 16) are each substrate and its facing the number 0 for a plurality (n + 1) numbers described When the chips are thrown on the floor and the numbers on the top surface are added together, the number between 0 and (2 ^{n + 1} -1) can be easily selected with the same probability. When these chips are connected to form a top, It was found that the manipulation can be performed easily and interestingly, and the present invention was completed.

Since the top type determination tool according to the present invention includes a plurality of numeric chips each having the exponents of 2 consecutive numbers, numbers within a certain range can be combined with equal probability at all.

1A and 1B show components constituting a numeric top according to the present invention and their constitutional relations. FIG. 1A shows a state in which components are assembled, FIG. 1B shows a state before assembling the components Lt; / RTI >
2 is a perspective view of a numeric top according to the present invention.
Fig. 3 is a view showing a horizontal section and a perspective view of a numeric block, and a horizontal section shows a rectangle (a), a parallelogram (b), an ellipse (c) and a square (d), respectively.
Fig. 4 is a view showing a non-selected side face in a numerical block having a horizontal section of a rectangle a, in a slope type b, a pointed shape c, or a curved shape d.

It is an object of the present invention to provide a top numerical determination tool comprising five numerical blocks in which the exponents 1, 2, 4, 8 and 16 of successive 2 are respectively described, and a center bar penetrating and connecting these numerical blocks will be.

According to the invention, using a topological number determination tool comprising five numeric chips each of which is represented by exponents 1, 2, 4, 8 and 16 of successive 2, any number between 0 and 31 The same probability can easily be determined.

The numerical block used in the present invention has one through-hole, one underside and an even-numbered side, and the upper and lower surfaces thereof have through-holes for inserting the center bar, and one of the indices of the above- . At this time, the numeral 0 can be written on the symmetry plane of the side where exponents of 2 (eg 1, 2, 4, 8, 16 ...) are written.

According to a preferred embodiment of the present invention, a numeric block in which numerals 1 and 0 are respectively described on the sides, numeric blocks 2 and 0 numeric blocks respectively described on the sides, numeric 4 and 0 numeric blocks respectively described on the sides, numerals 8 and 0 There is provided a top-like numerical determination tool comprising a numeric block written on each side of a numerical block and a numeric block having numerals 16 and 0 on each side thereof, and a central rod connecting and connecting these numeric blocks.

The top number determination tool according to the present invention allows to combine numbers between 0 and (2 ^{n + 1} -1) (n is 0 or a natural number) by summing the numbers of each number block determined by one operation. For example, a top-level number determination tool that includes five numeric blocks with the numbers 1, 2, 4, 8, and 16 listed as the exponents of 2, respectively, allows you to determine numbers from 0 to 31 in a single operation A topological number determination tool that includes six numeric blocks with numbers 1, 2, 4, 8, 16, and 32 listed as indices of 2, respectively, allows the number of digits 0 to 63 to be determined in a single operation.

Thus, a topological number determination tool having five numeric blocks with exponents of two (1, 2, 4, 8, and 16) in 2 can additionally include numeric blocks 32 and 0, respectively, Likewise, the top-like number determination tool described above may additionally include numeric blocks 32 and 0, numeric blocks respectively described on the sides, and numeric blocks 64 and 0 numeric blocks respectively described on the sides.

In the numerical block used in the present invention, the side on which the exponent of 2 (2 ⁿ : n is 0 or a natural number) and the side on which the numeral 0 is described are substantially the same in area and shape, The probability of being selected and the probability that the number 0 is selected are given substantially equal.

According to one embodiment of the present invention, the horizontal section of the above-mentioned numeric block is generally the same as the top or bottom surface of a numeric block, and may typically represent a rectangle, an equilateral quadrilateral, a square, a rhombus or an oval . In addition, the vertical cross-section of the numeric block is substantially the same as the lateral shape of the numeric block and generally represents a quadrilateral, but other polygons (e.g., triangular, pentagonal or hexagonal) or curved (e.g., circular or elliptical) Lt; RTI ID = 0.0 > a < / RTI > The above-mentioned horizontal and vertical cross-sections are based on the case where the numerical block is set up with the through-hole vertically, and are not limited to the above-mentioned form, and may have a special form if necessary.

Accordingly, the above-mentioned numerical block may have a block shape such as a cylinder, a prism, a sphere, an ellipse, or a sphere, but may have a thin plate shape or a disk shape.

In the numerical block of the present invention, the exponent of 2 (e.g., 1, 2, 4, 8, 16 ...) and the numeral 0 are preferably described in terms of a relatively large area. For example, in the case where the cross section is a rectangle, the exponent of 2 is written on the side with a relatively large area, and the number 0 is described on its opposite side (that is, opposite side). In the case where the cross section is a square, since the areas of the four side faces are the same, it is preferable that the exponent of 2 and the number 0 (or blank) alternate alternately on four sides.

According to one variant of the invention, if the number 2 ⁿ (n is an integer of 0 or a natural number, for example 2, 4, 8, 16, etc.) and the number 0 can be selected with equal probability, The shape and area of the surface on which these numbers are described are not particularly limited, and the shape and area of the surface on which the numbers are described may be selected to be different from each other. For example, the horizontal plane of a number block may have a semicircular or semi-elliptical or similar shape. In this case, the number block has a hemispherical or semicircular shape.

In the specification of the present invention, "the same probability" means representing the same mathematical probability but may indicate the same or similar frequency of occurrence at the play level of the infant or child level, for example, as a semi-pillar type .

In the numerical block of the numerical top according to the present invention, numerals (exponents and numerals of 2) are preferably written on the side with a relatively large area and not on the side with a relatively small area. At this time, the horizontal cross section of the numeric block (i.e., the shape of the top surface / bottom surface of the numeric block) can be deformed so that the side on which the number is not described is not selected. For example, when the cross section is a rectangle, the side where the number is not described (i.e., the side having a small area) and / or its face can be convexly curved, sharpened, or obliquely inclined . By this non-selection process, when the numeric block is touched to the ground, a surface having a small area is substantially not selected.

Hereinafter, preferred embodiments of the present invention will be described in detail with reference to the accompanying drawings. In the drawings, the same reference numerals are used to designate the same or similar components throughout the drawings. In the following description of the present invention, detailed description of known components and functions will be omitted when it is determined that the gist of the present invention may be blurred.

It is to be understood that the size, shape, and color described in the accompanying drawings are given by way of example and that the present invention is not limited by such size, shape, and color.

1A and 1B show components constituting the numeric top 100 according to the present invention and their constitutional relations, wherein FIG. 1A shows the assembled components, FIG. 1B shows a state in which the components Are assembled or disassembled. The numerical top 100 according to the present invention generally includes five numeric blocks 120, a center bar 110 for penetrating and connecting numeric blocks, and fixing mechanisms 131 and 132 as components.

The numerical blocks depicted in FIGS. 1A and 1B are horizontal sections, that is, the upper surface 124 and the lower surface 125 represent a rectangle or a parallelogram, and the vertical section represents a rectangle. In the numerical block, a wide area side is described with consecutive 2 exponents 1, 2, 4, 8 and 16, respectively, in order or in any order, and the number 0 Can be. The above-mentioned number blocks are preferably fixed by any fixing mechanisms 131 and 132 after being inserted into the center bar, and the fixing mechanism may be fixed or prefabricated. The beads between the fixing mechanisms 131 and 132 and the numeric block can be excluded to facilitate rotation of the numeric block.

Fig. 2 is a view showing a whole perspective view of a numeric top 100 according to the present invention, the components thereof and a method of assembling them have been described above with reference to Figs. 1A and 1B.

3 is a horizontal cross-sectional view and a perspective view of a numeric block, and the horizontal cross-section shows a rectangle (a), a parallelogram (b), an ellipse (c), and a square (d), respectively. Each numeric block 120 has a through hole 121 which is opened from the upper surface 124 to the lower surface 125 (non-metal). When the horizontal cross section represents a rectangle (a), a parallelogram (b), or an ellipse (c), the exponent of 2 and the number 0 are described on the side 122 and the opposite side 123, respectively, If the horizontal section represents a square (d), the exponent of 2 and the number 0 are alternately written on the four sides alternately. Since all four sides have the same area, the probability of the exponent of 2 and the number 0 being determined Substantially the same.

On the other hand, it is preferable that the through hole 121 is located at the center of gravity of the numeric block, but the position thereof is not particularly limited.

Further, even if the upper or lower surface of the number block 120 represents a polygonal shape such as a rectangle or a square, a part of the side surface may have a convex curved surface shape. When the entire side surface or a part of the side surface has a curved shape, the portion where the number is described can be finished in a plane. As a result, the side or horizontal cross-section of the numeric block can be modified in many ways independent of the top surface 124 or the bottom surface 125 of the numeric block.

FIG. 4 is a diagram showing an example of a horizontal section in which the numerals are not described in the numerical block 120, with unselected sides. FIG. When the horizontal section is a rectangle (a), it is impossible to exclude the possibility that a rectangular block of numerals will stand vertically, although with a very small probability, when the numeral top collapses. At this time, in the rectangular horizontal cross section, the side face 126 and the face 127 of which the number is not described are small and the face 127 is formed into a slope face shape b, a sharp shape bc or a curved face shape d, It is possible to further exclude the possibility that the sides in which numbers are not described are selected. On the other hand, the non-selective treatment of the horizontal section with the oblique slope (b) has substantially the same shape and the same effect as the case where the horizontal section has the parallelogram.

A method of operating the numeric top according to the present invention will be described in detail with reference to the above-mentioned drawings (FIGS. 1A, 1B, 2, 3 and 4)

(See FIG. 1) having five numerical blocks with the exponents 1, 2, 4, 8, and 16 of 2 respectively written vertically and turned like a top. The numeral (100) spins on the floor for a while, and the five number blocks that rotate together fall on the floor. The five numeric blocks that fall on the floor each fall independently so that either of the two sides 122, 123 with the exponent of 2 or the number 0 is seen on the top, resulting in an index of 2 Or the number 0 is selected independently. The sum of all the five indices independently selected and the two exponents of the number zero yields a number determined by the number top.

For example, if a numeric overlay falls and the exponent of 2 (1, 2, 4, 8, 16) is visible on the top of every numeric block, then five numbers 1, 2, 4, 8, , The number determined by the number top is 31 (i.e., 1 + 2 + 4 + 8 + 16 = 31) of these five numbers (see FIG. For example, if all the numeric blocks are tilted to show the number 0, the final determined number is 0, and if the five numeric blocks are tilted to show the numbers 0, 2, 4, 0 and 16 respectively, 2 + 4 + 0 + 16 = 22.

On the other hand, for the convenience of use, the numeric topology comprising five numerical blocks in accordance with the present invention may be manufactured in the following sizes and forms:

Specifically, the numerical block or number chip may have a size of 20 to 40 mm x 10 to 30 mm and a thickness of 5 to 10 mm, whereby the center bar may have a length of 70 to 200 mm and a diameter of 2 to 5 mm. The through hole 121 formed in the numeric block 120 is formed to have a diameter allowing the numerical block to freely rotate around the center bar but the diameter of the through hole 121 and the center bar 110 is within 10% %, More preferably within 3% of the diameter difference or the clearance rate.

In the numeric top according to the present invention, the material of the center bar 110 and the numeral block 120 is not particularly limited, and may be made of metal such as iron or copper, wood or plastic. The size of the numeric block, the length and thickness of the center bar, and the diameter of the through hole are not particularly limited and may be appropriately selected according to the height, thickness, and number of the numerical block.

100: Numerical top
110:
120: Numerical block
121: Through hole
122, 123: a wide side of a numeric block and its symmetry plane
124, 125: Top and bottom of a number block
126, 127: Small side of a block of numerals and its symmetry plane
131, 132: Fixture

Claims (5)

5. A top numerical determination tool comprising five numerical blocks each having exponents 1, 2, 4, 8 and 16 of successive 2, and a center bar penetrating and connecting these numeric blocks,
The above numeric blocks have one top surface, one bottom surface and an even number of side surfaces, and the upper surface and the lower surface are formed with through holes into which the central rods are inserted, and the horizontal cross-sections thereof are square, rectangular, rhombus, parallelogram, And may be selected from the group consisting of semicircles,
In the aforementioned even-numbered sides, one of the exponents of 2 and the number 0 described above are described alternately or on opposite sides, respectively,
A plate-shaped number block in which numerals 1 and 0 are respectively recorded on both sides, a plate-like number block in which numerals 2 and 0 are recorded on both sides, a plate number block in which numerals 4 and 0 are described in side, numerals 8 and 0, Block and a number of hexagonal number blocks comprising numeric blocks respectively numbered 16 and 0 on each side, and a center bar connecting and connecting these numeric blocks. 2. The top figure determination tool according to claim 1, wherein the horizontal section of the numerical block is a rectangle or a parallelogram. 2. The top figure determination tool according to claim 1, wherein, in each of the above-mentioned numeric blocks, the side having the exponent of 2 and the number 0 is the same in area or shape. delete 2. The top numerical determination tool according to claim 1, wherein the numerals 32 and 0 further include numeric blocks written on both sides, respectively.

Images