CN88101434A - Intelligent puzzle toy and manufacture method - Google Patents
Intelligent puzzle toy and manufacture method Download PDFInfo
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- CN88101434A CN88101434A CN 88101434 CN88101434A CN88101434A CN 88101434 A CN88101434 A CN 88101434A CN 88101434 CN88101434 CN 88101434 CN 88101434 A CN88101434 A CN 88101434A CN 88101434 A CN88101434 A CN 88101434A
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- isosceles
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Abstract
A kind of puzzle toy that is of value to exploitation people intelligence, this toy be from a big square through the cutting of specific isosceles right triangle, combine, or through etc. after fixed non-right-isosceles triangle and isosceles right triangle cut, combine.Because design is ingenious, this skilful plate can be pieced together various patterns, literal, also can be used to some simple geometry theorems are verified.Its pattern kind of risking is extremely many, pattern is still as, and rich unique artistic feeling.
Description
A kind of picture mosaic, word, tap intellectual resources of being used for, the intelligent puzzle toy made from paper, coating materials or sheet material.In all age, popular seven-piece puzzle, widely people like.Known seven-piece puzzle is E=4, and the seven-piece puzzle of K=7 has three kinds:
First kind is:
1, the length of side is two of the isosceles right triangles of 2b;
2, the length of side is one on the isosceles right angle trigonometry type of 2a;
3, the length of side is two of the isosceles right triangles of b;
4, the length of side is one on the square of b;
5, the length of side is respectively one of the parallelogram of 2a and b.(four isosceles right triangle compositions that the length of side is a).
Second kind is:
1, the length of side is one of the isosceles right triangle of 2b;
2, the length of side is two of the isosceles right triangles of 2b;
3, two bottom side lengths are one of the right-angled trapezium of b and 2a, (being made up of the isosceles right triangle that six length of sides are a);
4, the length of side is one on the square of b;
5, the length of side is one of the isosceles right triangle of b.
6, the length of side is respectively one of the parallelogram of 2a and b, (being made up of the isosceles right triangle that four length of sides are a);
The third is:
1, the length of side is two of the isosceles right triangles of 2a;
2, two ends, be respectively one of the right-angled trapezium of 2b and 3b, (being made up of the isosceles right triangle that eight length of sides are a);
3, two ends were one of the right-angled trapezium of b and 2b, (being made up of the isosceles right triangle that six length of sides are a);
4, two ends were two of the right-angled trapezium (being made up of for the isosceles right triangle of (a)/2 two length of sides) of (a)/2 and a;
5, the length of side is respectively 2a, a, b, b and a, and two-phase Lin Jiao is one on the pentagon (being made up of the isosceles right triangle that six length of sides are a) at right angle.
(connotation of E, K, a, b sees below)
But skilful plate is as a kind of technology, the research that it is conscientious that a kind of knowledge is also had no talent, the present invention is on the basis of fully research, propose puzzle toy and his manufacture method, make skilful plate more interesting on picture mosaic, word, tap intellectual resources, actual use value is more arranged, the pattern kind that skilful plate is risked is extremely many, scheme more similar with thing, and rich unique artistic charm, he promptly is that toy is again the good nation hand of tap intellectual resources, Handicraft decorative.Because unique design makes it verify the teaching aid that can do the visualization teaching to some geological theorems.It can be used for piecing together humanoid dynamic, mountain scene flowers and trees, birds and beasts, and the Shui nationality mix worm, building utensils, flexible apparatus, geometry, letter, numeral, Chinese character.General spelling characters is with monochromatic, and the picture mosaic case is with colored.With regard to this 16 skilful plates, can risk the colored shape more than 100, the bird shape more than 10000, humanoid more than 1,000,000, the imperial shape more than 1,600 ten thousand; Can risk nearly 2000 Chinese characters.With the Tang poetry that he risks, the such poems of the Song Dynasty have a distinctive flavour as the art work.
Form puzzle toy of the present invention, form, can form by isosceles right triangle separately as toy by right angled triangle; Also can form by isosceles right triangle and non-right-isosceles triangle.The manufacture method of toy is carried out according to the following steps:
(1), makes a big square on coating materials or the sheet material at a paper;
(2) five equilibrium of will this foursquare length and width respectively making identical multiple E, E<9;
(3) length with a=(the square length of side)/(E) is limit unit; With
Length make rectangular triangle for long unit, its practice is:
(1) makes isosceles right triangle.Two kinds of practices are arranged:
One, the length of side of its right-angle side is that nb(n is positive integer or the n=N=1/2,1/4,1/8 less than E.
Two, the length of side of its right-angle side is that ma(m is positive integer or the m=M=1/2,1/4,1/8 less than E.
(2) make non-right-isosceles triangle, two right angle length of side is respectively: (n+N) a and (m+M) a length; Perhaps be respectively: (n+N) b and (m+M) b length;
(4) intercepting is formed K piece puzzle toy by the combined shaped of above isosceles triangle in big square.Perhaps the shape formed of shape of being made up of isosceles right triangle and non-right-isosceles triangle is formed K piece puzzle toy.The summation of its K piece area equals big foursquare area.K<20。
Accompanying drawing of the present invention is as follows:
Fig. 1 is: the manufacture method schematic diagram of skilful plate.
Fig. 2 is: the skilful plate figure of 3-15 that risks with 16 skilful plates.
Fig. 2-1 is: three skilful plates
Fig. 2-2 is: four skilful plates
Fig. 2-3 is: five skilful plates
Fig. 2-4 is: six skilful plates
Fig. 2-5 is: seven-piece puzzle
Fig. 2-6 is: eight skilful plates
Fig. 2-7 is: Nine-piece puzzle
Fig. 2-8 is: ten skilful plates
Fig. 2-9 is: 11 skilful plates
Fig. 2-10 is: 12 skilful plates
Fig. 2-11 is: Thirteen-piece jig-saw puzzle
Fig. 2-12 is: 14 skilful plates
Fig. 2-13 is: fifteen artful plate
Fig. 3 is: the various pattern schematic diagrames of risking with 16 skilful plates.
Fig. 3-1 is: the humanoid figure
Fig. 3-2 is: bird shape figure
Fig. 3-3 is: zoomorphic figure
Fig. 3-4 is: word graph
Fig. 4 is: with the checking demonstration graph of 16 skilful plates to how much " collude three, strands four, string five " theorems.
Fig. 5 is: the manufacture method schematic diagram of ten puzzle toys.
Fig. 6 is: the various pattern schematic diagrames of risking with ten skilful plates.
The first embodiment of the present invention is as follows:
Work as E=5, during K=16, the preparation method of skilful plate is:
1, on paper, coating materials or a sheet material, make a big square, this moment a=(the square length of side)/5, b=
(the square length of side)/5
2, in square, make the skilful plate of following figure: see Fig. 1
(1) skilful plate 1, its length of side are two of the isosceles right triangles of 2b.
(2) skilful plate 2, its length of side are two of the isosceles right triangles of 2a.
(3) skilful plate 3, its length of side are four of the isosceles right triangles of b.
(4) skilful plate 4, its length of side are one of the isosceles right triangle of a.
(5) skilful plate 5, its length of side are two of the isosceles right triangles of (b)/2.
(6) skilful plate 6, its length of side is two of the parallelogram (being made up of the isosceles right triangle that 4 length of sides are a) of b and 2a.
(7) skilful plate 7, its length of side respectively are one on the square of b, (being made up of the isosceles right triangle that 4 length of sides are a).
(8) skilful plate 8, its length of side respectively are that two of the rectangles of (b)/2, b (are made up of for the isosceles right triangle of (b)/2 4 length of sides.
More than 16 blocks of skilful plates, form intelligent puzzle toy.
The second embodiment of the present invention is as follows:
Work as E=2, during K=10, the manufacture method of skilful plate is:
1,, makes big square, a=(the square length of side)/2 b=at this moment on coating materials or the sheet material at a paper
(the square length of side)/2
2, in square, intercept the skilful plate of following shape
(1) skilful plate 9, its length of side are two of the isosceles right triangles of 2a.
(2) skilful plate 10, its length of side are four of the isosceles right triangles of b.
(3) skilful plate 11, its length of side are respectively four of the right angled triangles of b and 2b.More than ten blocks of skilful plates, form puzzle.
Claims (8)
1, a kind of puzzle toy that is used for picture mosaic, word, tap intellectual resources is characterized in that the steps include: his manufacture method
One, on paper, coating materials or a sheet material, makes a big square;
Two, the five equilibrium of will this foursquare length and width respectively making identical multiple E, E<9;
Three, the length with a=(the square length of side)/(E) is limit unit, with b=
The length of (the square length of side)/(E) is made right angled triangle for long unit; Its practice is:
(1) make isosceles right triangle, two kinds of practices arranged:
(1) length of side of its right-angle side is nb (n is positive integer or n=N=0,1/2,1/4,1/8 less than E);
(2) length of side of its right-angle side is ma (m is positive integer or m=M=0,1/2,1/4,1/8 less than E).
(2) make non-right-isosceles triangle, two right angle length of side is respectively (n+N) a and (m+M) a is long; Or (n+N) b and (m+M) b length;
Four, in big square, the assembled state of isosceles right triangle with intercepting, form K piece puzzle toy, or the shape that the state of being made up of isosceles right triangle and non-right-isosceles triangle are formed is formed K piece puzzle toy, the sum total of its K piece area equals big foursquare area, and K<20.
2, manufacture method according to claim 1 is characterized in that working as E=5, and during K=16, the preparation method of skilful plate is:
(1) at a paper, make a big square on coating materials or the sheet material, at this moment, a=(the square length of side)/5, b=
(the square length of side)/5
(2) the skilful plate of the following figure of work in square:
(1) skilful plate 1, its length of side are two of the isosceles right triangles of 2b.
(2) skilful plate 2, its length of side are two of the isosceles right triangles of 2a.
(3) skilful plate 3, its length of side are four of the isosceles right triangles of b.
(4) skilful plate 4, its length of side are one of the isosceles right triangle of a.
(5) skilful plate 5, its length of side are two of the isosceles right triangles of (b)/2.
(6) skilful plate 6, its length of side are two of the parallelogram of b and 2a, (being made up of the isosceles right triangle that 4 limits are a).
(7) skilful plate 7, its length of side respectively are one on the square of b.
(8) skilful plate 8, its length of side respectively are two of the rectangles (being made up of for the isosceles right triangle of (b)/2 4 length of sides) of b, (b)/2.
More than 16 blocks of skilful plates, form intelligent puzzle toy.
3, manufacture method according to claim 1 is characterized in that: work as E=2, during K=10, the manufacture method of skilful plate is:
(1) on paper, coating materials or a sheet material, make a big square, this moment a=(the square length of side)/2, b=
(the square length of side)/2.
(2) the skilful plate plate of the following figure of work in square:
(1) skilful plate 9, its length of side are two of the isosceles right triangles of 2a.
(2) skilful plate 10, its length of side are four of the isosceles right triangles of b.
(3) skilful plate 11, its length of side are respectively four of the right angled triangles of b and 2b.
The intelligent puzzle toy of more than forming K=10.
4, a kind of intelligent puzzle toy that is used for picture mosaic, word, tap intellectual resources is characterized in that what skilful plate was made up of specific right angled triangle.
5, toy according to claim 4 is characterized in that skilful plate makes with paper, coating materials or sheet material.
6, according to claim 4 or 5 described toys, the piece number that it is characterized in that toy is K, K<20, and the K piece can always be combined into a square.
7, toy according to claim 6 is characterized in that toy block is made up of isosceles right triangle; Or the shape that the shape of being made up of isosceles triangle and non-right-isosceles triangle are formed forms, and the length of side of its isosceles right triangle can be: nb or ma
A=(the square length of side that always is combined into)/(E), b=
A, the positive integer of 2<E<9; N, m are the positive integers less than E, or n=N=0,1/2,1/4,1/8.
m=M=0、 1/2 、 1/4 、 1/8 。
The length of side of its non-right-isosceles triangle is respectively:
(n+N) a and (m+M) a or (n+N) b and (m+M) b
8, toy according to claim 6 is characterized in that working as E=4, during K=7, below three kinds of skilful plates not within this claim:
First kind is:
(1) length of side is two of the isosceles right triangles of 2b;
(2) length of side is one of the isosceles right triangle of 2a;
(3) length of side is two of the isosceles right triangles of b;
(4) length of side is one of the isosceles shape of b;
(5) length of side is respectively one of the parallelogram of 2a and b, (being made up of the isosceles right triangle that four length of sides are a).
Second kind is:
(1) length of side is one of the isosceles right triangle of 2b;
(2) length of side is two of the isosceles right triangles of 2a;
(3) two bottom side lengths are one of the right-angled trapezium of b and 2b, (being made up of the isosceles right triangle that six length of sides are a);
(4) length of side is one on the square of b;
(5) length of side is one of the isosceles right triangle of b;
(6) length of side is respectively one of the parallelogram of 2a and b, (being made up of the isosceles right triangle that four length of sides are a).
The third is:
(1) length of side is two of the isosceles right triangles of 2a;
(2) two ends were one of the right-angled trapezium of 2b and 3b; (forming) by the isosceles right triangle that eight length of sides are a;
(3) two ends were one of the right-angled trapezium of b and 2b, (being made up of the isosceles right triangle that six length of sides are a);
(4) two ends were two of the right-angled trapezium of (a)/2 and a, (being made up of for the isosceles right triangle of (a)/2 three length of sides);
(5) base is 2a, and two base angles are the right angle, and the length of side is respectively one on the pentagon (being made up of the isosceles right triangle that six length of sides are a) of 2a, a, b, b and a.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN 88101434 CN88101434A (en) | 1988-03-23 | 1988-03-23 | Intelligent puzzle toy and manufacture method |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN 88101434 CN88101434A (en) | 1988-03-23 | 1988-03-23 | Intelligent puzzle toy and manufacture method |
Publications (1)
Publication Number | Publication Date |
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CN88101434A true CN88101434A (en) | 1988-11-02 |
Family
ID=4831746
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN 88101434 Pending CN88101434A (en) | 1988-03-23 | 1988-03-23 | Intelligent puzzle toy and manufacture method |
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CN (1) | CN88101434A (en) |
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN105521599A (en) * | 2016-01-28 | 2016-04-27 | 华东师范大学 | Jigsaw puzzle |
WO2020136300A1 (en) * | 2018-12-28 | 2020-07-02 | Bloques Montserrat, S.L. | Set of pieces for constructing mosaics |
-
1988
- 1988-03-23 CN CN 88101434 patent/CN88101434A/en active Pending
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN105521599A (en) * | 2016-01-28 | 2016-04-27 | 华东师范大学 | Jigsaw puzzle |
CN105521599B (en) * | 2016-01-28 | 2020-05-22 | 华东师范大学 | Jigsaw puzzle |
WO2020136300A1 (en) * | 2018-12-28 | 2020-07-02 | Bloques Montserrat, S.L. | Set of pieces for constructing mosaics |
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