CN2070487U - Magic projection - Google Patents
Magic projection Download PDFInfo
- Publication number
- CN2070487U CN2070487U CN 90202850 CN90202850U CN2070487U CN 2070487 U CN2070487 U CN 2070487U CN 90202850 CN90202850 CN 90202850 CN 90202850 U CN90202850 U CN 90202850U CN 2070487 U CN2070487 U CN 2070487U
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- projection
- magic
- triangular prism
- straight triangular
- curved surface
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Abstract
The utility model relates to a magic projection which is a set of moulds which are composed of simple geometric bodies and various bodies and which can be combined freely to be used for projection practice for construction and machine drawing. In a set of magic projection, so long as a few moulds are needed to be combined, multi-aspect and a plurality of projection exercises can be carried out. For example, a set of magic projection of 16 components are combined, and more than 2, 000 even multimillion orthographic views whose V surface projection and H surface projection are same and W surface projection is different can be drawn according to the moulds. The perceptual knowledge of the comparison of the draws and objects in drawing teaching can be strengthened by the magic projection which is favorable to culture the space imaginary ability, and the utility model can be used as new building blocks to carry out projected illuminative education to children.
Description
Magic projection is meant that one group is made of simple geometry body and variant thereof, can combination in any, and as the model of building, machine drawing projection exercise.
Perceptual knowledge for figure thing contrast in the teaching of strengthening the cartography three-view diagram helps the cultivation of space imagination, has proposed the utility model.Magic projection also can be used as toy in addition, puts by figure for children, with the formative education that improves intelligence and carry out projection.
Three-view diagram projection exercise is carried out in cartography teaching at present, takes the method told about with 2 d plane picture more, and some model is also dull, and the three-view diagram quantity that can draw according to model seldom.The design of Magic projection only needs quantity model seldom, just can carry out the projection exercise of many-sided and One's name is legion by combination, and research is imparted knowledge to students and learnt by oneself drawing and can play a multiplier role, and has strengthened the interest in the teaching simultaneously.
As toy, children face legend and the simple geometry body and the variant thereof of being given, and can teach it to put by figure, make it to obtain certain projection knowledge, compare with general building blocks, and its intellectual has had large increase.
The body of forming Magic projection, can be simple geometry body and variant thereof such as prism, pyramid, Cylinder, cone, prismatic body, garden spheroid, garden ring body, so-called variant is meant with plane or curved surface cuts the simple geometry body, thereby obtains the variant of simple geometry body.For example: obtain the garden platform with the plane cutting cone, obtain truncated rectangular pyramids with the plane cutting rectangular pyramid; This moment, the garden platform was exactly the variant of garden awl, and truncated rectangular pyramids is exactly the variant of rectangular pyramid.A kind of simple geometry body can produce diversified variant.
Magic projection can adopt different simple geometry bodies and variant thereof to constitute one group respectively to picture according to teaching.Generally simple geometry body and the variant thereof with more than one constitutes one group of Magic projection, constitute the simple geometry body and the variant thereof of one group of Magic projection, the quantity of every kind of body, can make even numbers or odd number, so-called even numbers refers to two or four, so-called odd number refers to one or three, and the volume of above-mentioned body can be made in proportion and differ in size, so that be used in combination.
Simple geometry body in one group of Magic projection and variant thereof can combination in any, are the combination more than two at least, can be two, can be more.
Contained simple geometry body and variant thereof in the Magic projection, in order to narrate conveniently, we are called projecting block, and the projecting block that shape is identical when making two kinds of sizes in proportion, is called big projecting block and little projecting block respectively.
It is as follows to enumerate Magic projection embodiment:
The straight triangular prism that with the bottom surface is right-angle triangle is the simple geometry body, as only drawing the bottom surface projection of straight triangular prism among the 1-1(figure among Fig. 1, represents that it is that the bottom surface is the straight triangular prism of right-angle triangle).Cut straight triangular prism by curved surface and obtain its three kinds of variant, be i.e. the straight triangular prism of curved surface, the straight triangular prism in angle, garden, the straight triangular prism in angle, curved surface garden.The straight triangular prism of so-called curved surface promptly is to cut the inclined-plane of straight triangular prism and the variant that obtains with curved surface, as only drawing the bottom surface projection of straight triangular prism variant among the 1-2(figure among Fig. 1, down with).The straight triangular prism in so-called angle, garden promptly is the place, right angle of cutting straight triangular prism with curved surface, makes it to become the garden and slips over the variant of crossing curved surface and obtaining, as the 1-3 among Fig. 1.The straight triangular prism in so-called angle, curved surface garden promptly is the inclined-plane that cuts straight triangular prism with curved surface, cuts the place, right angle of straight triangular prism simultaneously with curved surface, makes it to become the garden and slips over the variant of crossing curved surface and obtaining, as the 1-4 among Fig. 1.It is high equal that this group Magic projection is made post, and the bottom surface is above-mentioned four kinds of shapes (being straight triangular prism, the straight triangular prism of curved surface, the straight triangular prism in angle, garden, the straight triangular prism in angle, curved surface garden), and each shape is made each two of sizes by a certain percentage, thereby obtains 16 projecting blocks.
At first straight two big projecting blocks of triangular prism and its two little projecting blocks shown in the 1-1 among Fig. 1 are combined into rectangular parallelepiped respectively.Again at grade with two rectangular parallelepiped combinations, can draw the three-view diagram of forming by V face, H face and W face, as Fig. 2, the effect of Fig. 2 is in order to represent: A * B range of size is that big projecting block is put scope, a * b range of size is that little projecting block is put scope, and given V face, H face projection of shape.On this basis little projecting block is put scope successively by the 3-1 among Fig. 3,3-2,3-3 ... 3-47 changes, the big projecting block scope of putting is carried out above-mentioned replacing successively too, the result of Geng Huaning so respectively, on the W face, can obtain 47 * 47=2209 difform projection, and its V face projection and the projection of H face are constant.Fig. 3 is four kinds of projecting block combinations and puts the shape synoptic diagram.
If still utilize this 16 projecting blocks, change and put method, make that the H face projection among Fig. 2 is changed, can obtain the projection of millions of V faces, the projection of H face is identical, and the different three-view diagram of W face projection.
When using Magic projection, can organize Magic projection with reference to this and give typical legend, make full use of projecting block and make up, strive for drawing three-view diagram as much as possible; The meaning of also can oneself no longer holding the post combination is drawn numerous different three-view diagrams, in the hope of reaching the teaching result.
Description of drawings
Fig. 1: the projecting block of illustrated embodiment.
The straight triangular prism of 1-1.Only draw the bottom surface projection (down together) of straight triangular prism among the figure, represent that it is that the bottom surface is the triangular prism of right-angle triangle, be referred to as straight triangular prism.
The straight triangular prism of 1-2 curved surface.It is to cut the inclined-plane of straight triangular prism and the variant that obtains with curved surface, is referred to as the straight triangular prism of curved surface.
The straight triangular prism in angle, 1-3 garden.It is the place, right angle of cutting straight triangular prism with curved surface, makes it to become the garden and slips over the variant of crossing curved surface and obtaining, and is referred to as the straight triangular prism in angle, garden.
The straight triangular prism in angle, 1-4 curved surface garden.It is the inclined-plane that cuts straight triangular prism with curved surface, cuts the place, right angle of straight triangular prism simultaneously with curved surface, makes it to become the garden and slips over the variant of crossing curved surface and obtaining, and is referred to as the straight triangular prism in angle, curved surface garden.
Fig. 2: the projection of illustrated embodiment three-view diagram for example.
A * B range of size is that big projecting block is put scope.
A * b range of size is that little projecting block is put scope.
Fig. 3: projecting block makes up and puts the shape synoptic diagram.
3-1: the combination of two straight triangular prisms
3-2: the combination of straight triangular prism and the straight triangular prism of curved surface.
3-3,3-4,3-5: be the location change of 3-2.
3-6: the combination of straight triangular prism and the straight triangular prism in angle, garden.
3-7,3-8,3-9: be the location change of 3-6.
3-10: the combination of straight triangular prism and the straight triangular prism in angle, curved surface garden.
3-11,3-12,3-13: be the location change of 3-10.
3-14: the combination of two straight triangular prisms of curved surface
3-15: be the location change of 3-14.
3-16: the combination of the straight triangular prism of straight triangular prism of curved surface and angle, garden.
3-17,3-18,3-19: be the location change of 3-16.
3-20: the combination of the straight triangular prism of straight triangular prism of curved surface and angle, curved surface garden.
3-21,3-22,3-23: be the location change of 3-20.
3-24: the combination of the straight triangular prism in angle, two gardens.
3-25: be the location change of 3-24.
3-26: the combination of the straight triangular prism of straight triangular prism in angle, garden and angle, curved surface garden.
3-27,3-28,3-29: be the location change of 3-26.
3-30: the combination of two straight triangular prisms in angle, curved surface garden.
3-31: be the location change of 3-30.
3-32: straight triangular prism.
3-33,3-34,3-35: be the location change of 3-32.
3-36: the straight triangular prism of curved surface.
3-37,3-38,3-39: be the location change of 3-36.
3-40: the straight triangular prism in angle, garden.
3-41,3-42,3-43: be the location change of 3-40.
3-44: the straight triangular prism in angle, curved surface garden.
3-45,3-46,3-47: be the location change of 3-44.
Claims (4)
1, a kind of throwing shape evil spirit as the model of building, machine drawing projection exercise, is characterized in that comprising that one group is made of simple geometry body and deformable body thereof, model that can combination in any.
2, Magic projection according to claim 1 is characterized in that a described group model comprises more than one model, and the quantity of each model can be even numbers or odd number, and the volume of each model can make in proportion and differ in size.
3, Magic projection according to claim 1 is characterized in that described simple geometry body, can be prism, pyramid, Cylinder, cone, prismatic body, garden spheroid, garden ring body.
4, Magic projection according to claim 1 is characterized in that the deformable body of described simple geometry body refers to the body that is produced with plane or curved surface cutting simple geometry body.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 90202850 CN2070487U (en) | 1990-03-19 | 1990-03-19 | Magic projection |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 90202850 CN2070487U (en) | 1990-03-19 | 1990-03-19 | Magic projection |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN2070487U true CN2070487U (en) | 1991-01-30 |
Family
ID=4884170
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 90202850 Withdrawn CN2070487U (en) | 1990-03-19 | 1990-03-19 | Magic projection |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN2070487U (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110047354A (en) * | 2019-03-22 | 2019-07-23 | 湖州师范学院 | A kind of linear projection's demenstration method |
-
1990
- 1990-03-19 CN CN 90202850 patent/CN2070487U/en not_active Withdrawn
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110047354A (en) * | 2019-03-22 | 2019-07-23 | 湖州师范学院 | A kind of linear projection's demenstration method |
| CN110047354B (en) * | 2019-03-22 | 2021-01-01 | 湖州师范学院 | Linear projection demonstration method |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| C19 | Lapse of patent right due to non-payment of the annual fee | ||
| CF01 | Termination of patent right due to non-payment of annual fee |