CN2311033Y - Mental magic cube - Google Patents

Abstract

The utility model relates to a magic cube toy, particularly an intelligent magic cube which can generate different effects by altering the number and the relative position thereof. The utility model is composed of a magic tray, a tray cover and a set of magic blocks which are marked with a set of corresponding continuous natural numbers starting from one on the surfaces. The utility model has the characteristics of reasonable structure, simple operation, integration of intelligence development, interest and knowledge, etc.; the knowledge syncretizes mathematical operation, permutation combination, overall planning operation, etc. The utility model is widely suitable for individuals or groups at different age levels and different knowledge structure, and enables people to deeply develop the intelligence potentiality during amusements.

Description

The intelligence magic square

The utility model relates to a kind of Magic cube, and is particularly a kind of when changing its magic square number and relative position, can produce the intelligence magic square of different-effect.

Existing magic square such as whirligig magic square etc. because of its function singleness, can not incorporate the notion of number wherein, lack intellectually, and its intelligence effect is also unsatisfactory.

The purpose of this utility model is to provide a kind of quantification notion of existing mathematics, again can be when changing its magic square number and relative position, produce different-effect, melt that mathematical operation, permutation and combination, pool utilization etc. are intellectual, interest and intelligence development are in the intelligence magic square of one.

The solution that realizes the utility model purpose is: the intelligence magic square that is provided comprises that an evil spirit dish, a strand are connected in disk cover, one group of magic square of evil spirit dish upper edge, its special character is: described one group of magic square at least 9 or more than 9, separately independent, profile is identical, can form 3 * 3,4 * 4,5 * 5 respectively ... etc. the square or the square sheets of a plurality of independent square formations, its surface indicia have one group corresponding with it, since 1 and mutual continuous natural number 1,2,3,4 ...When described magic square is square, can be arranged in order in described evil spirit dish; When described magic square is square sheets, can fold thick being put in the described evil spirit dish successively.

Fig. 1 is a structural drawing of the present utility model.

Fig. 2 is the utility model embodiment one planar structure schematic diagram.

Fig. 3 is the utility model embodiment two planar structure schematic diagrams.

Below in conjunction with accompanying drawing content of the present utility model is described in detail.

As shown in Figure 1: the utility model comprises that 2, strands of an evil spirit dish are connected in evil spirit dish 2 upper edges Disk cover 1, one group of magic square 3, a group echo are at the numerical character 4 on magic square 3 surfaces. Operation the utility model The time, in evil spirit dish 2, take out earlier reference numerals since 1 and one group of continuous magic square 3, it is put into just Battle array is adjusted respectively the relative position of each magic square, until make horizontal magic square surface number sum, vertical All equate magic square to magic square surface number sum and diagonal magic square surface number sum Arrange namely and calculate correctly. The utility model magic square square formation can put into respectively 3 * 3,4 * 4,5 * 5 ... Deng many Individual independent square formation, in the square formation magic square number the more, operational degree is more difficult.

Fig. 2, Fig. 3 are respectively the planar structure schematic diagrams of the utility model embodiment one, example two.

Referring to Fig. 2, when the total number of described one group of magic square 3 is odd number, add up to 9 as magic square, the numeral of its surface indicia should be continuous from 1-9, with its square formation that is arranged in 3 * 3, adjusts its relative position, its lateral surfaces 3 number sums, vertical surperficial 3 number sums and 3 digital sums of diagonal line are all equated, promptly horizontal: 2+9+4=15,7+5+3=15,6+1+8=15; Vertically: 2+7+6=15,9+5+1=15,4+3+8=15; Diagonal line: 2+5+8=15,4+5+6=15.

Referring to Fig. 3, when the total number of described one group of magic square 3 is even number, add up to 36 as magic square, the number of its surface indicia should be continuous from 1-36, it is arranged in 6 * 6 square formation, adjust its relative position, its lateral surfaces 6 number sums, vertical surperficial 6 number sums and 6 digital sums of diagonal line are all equated, promptly horizontal: 36+2+3+34+5+31=111,7+29+10+9+26+30=111,18+22+17+16+14+24=111,19+15+21+20+23+13=111,25+11+27+28+8+12=111,6+32+33+4+35+1=111; Vertically: 36+7+18+19+25+6=111,2+29+22+15+11+32=111,3+10+17+21+27+33=111,34+9+16+20+28+4=111,5+26+14+23+8+35=111,31+30+24+13+12+1=111; Diagonal line: 36+29+17+20+8+1=111,31+26+16+21+11+6=111.

By the description to above-mentioned two embodiment of the utility model, the correct total that the utility model is respectively organized the magic square square formation can pass through following method validation:

When described one group of magic square 3 add up to odd number the time, horizontal several sums on described magic square 3 surfaces, vertically count sums and diagonal line and count sum and be equal to the arithmetic square root value that the middle one digit number of this sequence natural number since 1, after the ascending ordering multiply by last digit.Referring to Fig. 2, its natural number is followed successively by 1,2,3,4,5,6,7,8,9, and mediant is a boldface type 5, and last digit is 9, and then it laterally counts sum, vertically several sums, diagonal line are counted sum and be: $5\×(+\sqrt{9})=15$ 。

When described one group of magic square 3 add up to even number the time, horizontal several sums on described magic square 3 surfaces, vertically count sums and diagonal line and count sum and be equal to the middle double figures sum of this sequence natural number and multiply by 1/2nd of last digit arithmetic square root value since 1, after the ascending ordering.Referring to Fig. 3, its natural number is followed successively by 1,2,3 ... 18,19 ... 36, middle double figures is respectively boldface type 18,19, and last digit is 36, and then it laterally counts sum, vertically several sums, diagonal line are counted sum and be: $(18+19)\×\frac{+\sqrt{36}}{2}=111$ 。

Described in the utility modelly respectively organize the square formation that magic square 3 is formed, no matter its magic square sum is odd number or even number, and its horizontal single-row magic square surface number sum, vertical single-row magic square surface number sum and diagonal line magic square surface number sum are also all available

Solve, in the formula N by described one group of magic square 3 the number of laterally single-row or vertical single-row magic square in the composition square formation.

Referring to Fig. 2, the square formation that described one group of magic square 3 is formed is 3 * 3, and then N is 3, and its horizontal single-row magic square surface number sum, vertical single-row magic square surface number sum and diagonal line magic square surface number sum are: $\frac{3+3^3}{2}=15$

Referring to Fig. 3, the square formation that described one group of magic square 3 is formed is 6 * 6, and then N is 6, and its horizontal single-row magic square surface number sum, vertical single-row magic square surface number sum and diagonal line magic square surface number sum are $\frac{6+6^3}{2}=111$ 。

The utility model provides the evaluation verification method of respectively organizing square formation game result that magic square 3 is formed, and its purpose is that visual oneself the situation of player selects voluntarily.

Comprehensive above-described embodiment can find out that the utility model is compared existing technology and had following advantage:

1. rational in infrastructure, easy and simple to handle;

2. melt intellectual, interest and intelligence development such as mathematical operation, permutation and combination, pool utilization in one;

3. be not subjected to space-time, number and age limit, property of participation is strong.

The utility model can be widely used in the individuality or the colony of all ages and classes level, the different structures of knowledge, makes people's intellectual potential be able to profound exploitation in amusement.

Claims (4)

1, a kind of intelligence magic square, comprise that an evil spirit dish (2), a strand are connected in disk cover (1), one group of magic square (3) of evil spirit dish (2) upper edge, it is characterized in that: described one group of magic square (3) at least 9 or more than 9, separately independent, profile is identical, can form 3 * 3,4 * 4,5 * 5 respectively ... etc. the square or the square sheets of a plurality of independent square formations, its surface indicia have one group corresponding with it, since 1 and mutual continuous natural number 1,2,3 ... (4).

2, intelligence magic square as claimed in claim 1, it is characterized in that the square formation formed with the described one group of magic square (3) that is marked with set of number (4), should make in its square formation laterally magic square surface number sum, vertically magic square surface number sum and diagonal line magic square surface number sum all equate.

3, intelligence magic square as claimed in claim 1, it is characterized in that square formation with described one group of magic square (3) composition, when described one group of magic square (3) add up to odd number the time, laterally magic square surface number sum, vertically magic square surface number sum and diagonal line magic square surface number sum in the square formation all should equal the arithmetic square root value that the middle one digit number of this group natural number (4) since 1, after the ascending ordering multiply by last digit; When described one group of magic square (3) add up to even number the time, in the square formation laterally magic square surface number sum, vertically magic square surface number sum and diagonal line magic square surface number sum all should equal the centre two figure place sums of this group natural number (4) since 1, after the ascending ordering and multiply by 1/2nd of last digit arithmetic square root value.

4, intelligence magic square as claimed in claim 1 or 2, it is characterized in that the square formation formed with described one group of magic square (3), its horizontal single-row magic square surface number sum, vertical single-row magic square surface number sum and diagonal line magic square surface number sum all should equal 1/2nd of the number of laterally single-row in the described square formation (or vertically single-row) magic square and these several 3 power value sums.

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