CN2262443Y - Plane magic square - Google Patents

Abstract

The utility model relates to a plane magic square toy, which is composed of a digital piece and a lattice plate. The utility model is characterized in that at least nine digit piece are arranged, and can form a third-order magic square, or the digit piece is increased, 36 digit pieces are arranged, wherein, the utility model is provided with eight digit pieces 1, eight digit pieces 2, four digit pieces 3, four digit pieces 4, a digit piece 5 and a digit piece 16. Vertical and horizontal lattice bars arranged on the lattice plate to divide the lattice plate into drop pits whose amount is equal to or greater than that of the digital piece; the size of the drop pit is anastomosis with the digital piece; the lattice plate presents a box shape, and the upper surface of the lattice plate is provided with a cover in which an elastic layer is lined; the cover is connected with the lattice plate by a hinge; a lock catch and a set bar are fixed. The magic square has the advantages of simple structure, easy control, and can be used for reading numbers, arranging numbers and being placed, and the magic square can be transformed; the difficulty is from shallow to deep, which is abstruse. The utility model is suitable for the young and the old.

Description

Plane magic square

The utility model relates to a kind of toy, is all mathematics magic square toys of benefit of a kind of old children.

At present, people's toy kind is few, and toy for children mostly is static or electronic Ornamental toy, the student adult mostly is chess or board type toy, these toys strengthen people's intelligence to enlivening people's life, and certain promotion is arranged, but chess, board type toy all are artificial some playing methods or the rules stipulated, this is to being familiar with objective rule, and the development and use objective law has little significance, and mathematics is the basis of science, Mathematics toy is very few slightly, can not satisfy people's free life needs.

The purpose of this utility model provides a kind of Plane magic square Mathematics toy, and people had both enlivened free life by playing magic square, can temper eyesight and mentality again, improved thinking ability, were familiar with some mathematical laws, promoted scientific and technological career development.

The purpose of this utility model is achieved in that this magic square is made up of number and lattice dish two parts, number has at least 9 pieces, be that 1-9 can form three rank magic squares for each one piece, if 1-16 can form the quadravalence magic square for each one piece, number is many more, and it is many more to form the magic square exponent number, for expanded scope, from the superficial to the deep, also can increase monkshood, as 36 pieces, wherein eight piece 1, eight piece 2, four piece 3, four piece 4,5-16 piece each one piece, have vertical on the lattice dish, lined, the lattice dish is divided at least 9 pits or square, and the pit number will be equal to or greater than the sub-number of number, for easy to carry, the lattice dish is box-like, lid is arranged above, lid liner elasticity layer, lid dative dish hinge connects, by snap close, locking bolt is fixed, and lattice dish one middle side part has handle.

Playing method:

1, to the child: can be used to know number, row's number;

2, to children: can be according to the theoretical exercise row of permutation and combination number, cloth magic square with 36 pieces of numbers.As 1,2,2,1,1,3,3,1,2,3,3,2 ... understanding permutation and combination rule; Also but to become longitudinal and transverse, the digital sum of diagonal all be 6 magic square to cloth, but becoming longitudinal and transverse, the digital sum of diagonal with three 1,2,3 number cloth all is 6 magic square, all is 10 magic square but become longitudinal and transverse, the digital sum of diagonal with four 1,2,3,4 several son cloth; But becoming longitudinal and transverse, the digital sum of diagonal with each one piece of number cloth of 1-9 all is 15 three rank magic squares; But becoming longitudinal and transverse diagonal numeral sum with each one piece of cloth of 1-16 all is 34 quadravalence magic square, does not exemplify one by one.

3, magic square conversion:

(1) one end row number: → 123

→4 5 6

If → 789 the sub-rotation displacement of center 5 motionless other eight numbers, and 2 and 8,4 and 6 diagonal angles replace and promptly get 61 87 5 32 94 longitudinal and transverse, the digital sum of diagonal and be 15 magic square then.In like manner 1234

5 6 7 8

9 10 11 12

Subinverse row on two files, eight number in the middle of 13 14 15 16 magic squares contraryly about two lines, eight number in the middle of then arranges 1 14 15 48 11 10 512 76 913 23 16 longitudinal and transversely, the digital sum of diagonal is 34 magic square.

(2) row's of crawling number: 123

6 5 4

5 motionless other the eight numbers rotations of 789 centers, 2 and 8 transpositions promptly then: 618

7 5 3

294 longitudinal and transverse, the digital sum of diagonal is 15 magic square.In like manner 1234

8 7 6 5

9 10 11 12

Subinverse row on two files, eight number in the middle of the 16 15 14 13 quadravalence magic squares, eight digital respective quadrature change places of middle two lines get then

1 15 14 4

6 12 9 7

11 5 8 10

16 23 13 magic squares, it is longitudinal and transverse, the digital sum of diagonal is equal to 34.

According to above example, two files, line in the middle of the conversion in like manner, diagonal angle exchange, the outside two files, line, center four numbers and the rotation of peripheral number, place-exchange, all can obtain the magic square longitudinal and transverse, that the digital sum of diagonal all equates (any one quadravalence magic square all meet four jiao of four number and 34, four hearts four are counted and 34, up and down four count and 34, about four count and 34 rule).

This utility model compared with prior art has the following advantages: (1) is simple in structure, grasps easily; (2) play fado, can practise knowing number, row's number, also can practise putting magic square, conversion magic square, the convertible kind more than 5120 of quadravalence Plane magic square, from the superficial to the deep, profundity is not surveyed; (3) wide adaptability, the child can play, and children can play, and the adult also can play; (4) regular, interesting strong, by play can improve into the mental arithmetic thinking ability.

Be described further below in conjunction with accompanying drawing:

Fig. 1 Plane magic square structural representation (36 pieces of numbers)

Among the figure: lattice dish (1) is box-like, there are in length and breadth at least four of glazing bars that the lattice dish is divided at least 9 pits or grid on the lattice dish, the pit size matches with number (2), be provided with digital box (7) in lattice dish one side, lattice dish (1) is provided with lid (3), flexibly connect by hinge (6), by snap close (8), locking bolt (5) is fixing, be lined with elastic layer (4) in lid (3) inboard, it adopts sponge, foam or rubber are made, and for easy to carry, lattice dish one side is provided with number box (7), be provided with handle (9) in lattice dish open side, number (2) is the drum cavity shape or the square bodily form, adopts plastics or timber to make, and all indicates same numeral on every piece of each plane of number.Number (2) has at least 9 pieces, and promptly 1--9 is each one piece, can form three rank magic squares; If there are 16 pieces to be 1--16 piece each one piece, can form the quadravalence magic square, number is many more, the exponent number of forming magic square is many more, and abstruse more survey is in order to enlarge the scope of application, from the superficial to the deep also can increase additional son, as 36 pieces of numbers, respectively one piece of wherein eight pieces 1, eight piece 2, four piece 4,5--16.

Claims (2)

1, a kind of Plane magic square toy, form by number (2) and lattice dish (1) two parts, it is characterized in that: number (2) has at least 9 pieces, be that 1--9 can form three rank magic squares for each one piece, 1--16 can form the quadravalence magic square for each one piece, number is many more, it is many more to form the magic square exponent number, and the lattice dish has glazing bar in length and breadth on (1), and the lattice dish is divided at least 9 pits or square, the pit number is equal to or greater than number (2) number, lattice dish one side has number box (7), and lid (3) is arranged above, lid liner elasticity layer (4), lid dative dish closing page or leaf (6) connects, snap close (8) locking bolt (5) is fixing, and lattice dish one middle side part has handle (9).

2, Plane magic square according to claim 1 is characterized in that: number (2) is square or drum cavity shape.