An ant climbing the shortest path on the surface of a rectangular parallelepiped demonstrator

Abstract

The utility model relates to an ant crawls the shortest path demonstrator of cuboid surface, belongs to the teaching aid technical field, the ant crawls the shortest path demonstrator of cuboid surface, including demonstrator main part, the demonstrator main part is by two cross plates and four vertical boards are composed, still include connecting mechanism, the quantity of connecting mechanism is a group, a group connecting mechanism is arranged respectively in four sides of vertical board and cross plate, wherein, connecting mechanism includes two hinge pieces and two butt joint shafts, two adjacent hinge pieces are staggered and are connected through butt joint shaft, the butt joint shaft is slidably connected to the inside of hinge piece, the demonstration mode of demonstrator main part is diversified, can be converted into plane state from geometric state flexibly, the path of convenient intuitive observation, and the demonstration rope fixed point position can be flexibly adjusted, satisfies the use demand of different teaching, and the suitability is stronger.

Description

Technical Field

[0001] This utility model relates to the field of teaching aids technology, and in particular to a demonstrator of the shortest path for ants to climb the surface of a cuboid. Background Technology

[0002] Currently, in middle school math classes, the topic of ants finding the shortest path on the surface of a cuboid needs to be taught. To enhance the fun and intuitiveness of the teaching, it is necessary to demonstrate the shortest path ants find on the surface of a cuboid in class.

[0003] A search revealed that the Chinese patent "A Demonstration Device for the Shortest Path for Ants Climbing the Surface of a Cuboid" (authorization announcement number CN219553120U) includes a cuboid demonstration body. The right side of the demonstration body has a right movable plate hinged to the front of the cuboid. The upper side of the demonstration body has two upper movable plates: an outer first upper movable plate and an inner second upper movable plate. The first upper movable plate is hinged to the right side of the cuboid, and the second upper movable plate is hinged to the front of the cuboid. Three demonstration ropes of equal length are fixed to one corner of the cuboid. Three demonstration ropes of the same length can represent three different paths, which can intuitively show the length of the three paths, increasing the interest and intuitiveness of teaching and helping students understand and master the material. However, the above method has the following drawbacks in actual use: although demonstration ropes can be used to show the length of different paths, the way the demonstration object is opened and displayed is fixed, and it is not easy to flexibly transform the demonstration object from a geometric state to a planar state, which makes the path observation not intuitive enough. In addition, the points of the demonstration ropes are fixed, making it difficult to use flexibly for different teaching needs, and its applicability is generally limited. Utility Model Content

[0004] Therefore, it is necessary to provide a shortest path demonstrator for ants crawling on the surface of a cuboid, addressing the problems of difficulty in flexibly transforming the demonstrator from a geometric state to a planar state and difficulty in flexibly using it to meet different teaching needs.

[0005] A demonstrator for the shortest path of an ant climbing a cuboid surface includes a demonstrator body composed of two horizontal plates and four vertical plates; it also includes a connecting mechanism, which is a set of connecting mechanisms, each set of connecting mechanisms being disposed on one of the four sides of the vertical and horizontal plates; wherein, the connecting mechanism includes two hinge pieces and two connecting shafts, with adjacent hinge pieces being staggered and connected by connecting shafts, the connecting shafts being slidably connected to the interior of the hinge pieces.

[0006] In one embodiment, two sliders are provided on the outer side of the upright plate, and caps are provided on the outer side of the sliders.

[0007] In one embodiment, a plug is provided on the outside of the slider, and the cap is fitted onto the end of the plug.

[0008] In one embodiment, two grooves are formed on the outer side of the upright plate, and one side of the slider is slidably connected to the inside of the groove.

[0009] In one embodiment, a spring is sleeved on the outside of the mating shaft, with one end of the spring installed on the outside of the mating shaft and the other end of the spring installed on the outside of the hinge piece.

[0010] In one embodiment, a frame-shaped groove is provided on each of the two cross plates on opposite sides, and the width of the frame-shaped groove is the same as the width of the slide groove.

[0011] In one embodiment, one of the uprights includes two docking plates, which are connected by four connecting mechanisms. Beneficial effects

[0012] 1. By flexibly unfolding the various sides of the main body of the demonstrator, the display methods are diversified. Students can intuitively see the unfolded diagram corresponding to the shortest path when the ant needs to flip over the surface. The unfolded diagram includes the starting surface and the target surface, which significantly reduces the difficulty of spatial imagination and makes it easier to observe the path intuitively.

[0013] 2. By setting movable sliders and caps, the fixed points of the demonstration rope can be flexibly changed, thereby marking different starting and ending points to meet different teaching needs and making it highly applicable. Attached Figure Description

[0014] To more clearly illustrate the technical solutions in this utility model or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of this utility model. For those skilled in the art, other drawings can be obtained from these drawings without creative effort.

[0015] Figure 1 This is a schematic diagram of the structure of this utility model;

[0016] Figure 2 for Figure 1 Enlarged view of A in the middle;

[0017] Figure 3 This is an exploded view of the connecting mechanism of this utility model;

[0018] Figure 4 This is a schematic diagram of the main body of the present invention's demonstrator after it has been unfolded.

[0019] Figure 5This is a schematic diagram of the main body of the present invention's demonstrator after it has been unfolded and the demonstrator rope.

[0020] Figure label:

[0021] 100. Demonstration device body; 110. Horizontal plate; 120. Vertical plate; 121. Slider; 122. Cap; 200. Connecting mechanism; 210. Hinge piece; 220. Connecting shaft; 221. Spring. Detailed Implementation

[0022] To make the objectives, technical solutions, and advantages of the embodiments of this utility model clearer, the technical solutions of the embodiments of this utility model will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this utility model, not all embodiments. Based on the embodiments of this utility model, all other embodiments obtained by those skilled in the art without creative effort are within the protection scope of this utility model.

[0023] It should be noted that when a component is referred to as being "fixed to" or "set on" another component, it can be directly on the other component or there may be an intermediate component. When a component is considered to be "connected to" another component, it can be directly connected to the other component or there may be an intermediate component present. The terms "vertical," "horizontal," "upper," "lower," "left," "right," and similar expressions used in this specification are for illustrative purposes only and do not represent the only possible implementation.

[0024] Furthermore, the terms "first" and "second" are used for descriptive purposes only and should not be construed as indicating or implying relative importance or implicitly specifying the number of indicated technical features. Thus, a feature defined as "first" or "second" may explicitly or implicitly include at least one of that feature. In the description of this utility model, "a plurality of" means at least two, such as two, three, etc., unless otherwise explicitly specified.

[0025] In this utility model, unless otherwise explicitly specified and limited, "above" or "below" the second feature can mean that the first feature is in direct contact with the second feature, or that the first feature and the second feature are in indirect contact through an intermediate medium. Furthermore, "above," "on top of," and "over" the second feature can mean that the first feature is directly above or diagonally above the second feature, or simply indicates that the first feature is at a higher horizontal level than the second feature. "Below," "below," and "under" the second feature can mean that the first feature is directly below or diagonally below the second feature, or simply indicates that the first feature is at a lower horizontal level than the second feature.

[0026] Unless otherwise defined, all technical and scientific terms used in this specification have the same meaning as commonly understood by one of ordinary skill in the art to which this specification belongs. The terminology used in this specification is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. The term "and / or" as used in this specification includes any and all combinations of one or more of the associated listed items.

[0027] The following is combined Figures 1-5 This invention describes a demonstrator for the shortest path of an ant climbing a cuboid surface.

[0028] In one embodiment, a demonstrator of the shortest path for an ant to climb a cuboid surface includes a demonstrator body 100, which is composed of two horizontal plates 110 and four vertical plates 120; it also includes a connecting mechanism 200, which is a set of connecting mechanisms 200, which are respectively disposed on the four sides of the vertical plates 120 and the horizontal plates 110; wherein, the connecting mechanism 200 includes two hinge pieces 210 and two docking shafts 220, two adjacent hinge pieces 210 are staggered and connected by docking shafts 220, and the docking shafts 220 are slidably connected to the interior of the hinge pieces 210.

[0029] like Figure 2 As shown, two sliders 121 are provided on the outer side of the upright plate 120, and a cap 122 is provided on the outer side of the sliders 121.

[0030] In this embodiment, when simulating the movement path of a magnetic ant, the user can attach one end of multiple elastic demonstration ropes to the corresponding caps 122 in the starting area, and then the other end of the demonstration ropes will be attached to the outside of the demonstrator body 100 along multiple different preset paths and to the corresponding caps 122 in the ending area. Due to the setting of the slider 121, the user can flexibly adjust the position of the corresponding caps 122 before the path demonstration to achieve teaching of multiple paths. After the demonstration ropes mark the movement path, the user can separate the moving docking shaft 220 from the corresponding hinge piece 210, so that the vertical plate 120 and the horizontal plate 110 change their movement position, so that the demonstrator body 100 unfolds into a planar state, which is convenient for students to observe the transformation from a three-dimensional path to a planar path.

[0031] Since the horizontal panel 110 and the vertical panel 120 are detachable on all four sides, a variety of display methods can be achieved during the display process to meet the needs of flat display along different paths.

[0032] It should be noted that, as Figure 4 and Figure 5As shown, a corresponding magnet is set inside the main body 100 of the demonstrator. A cuboid frame that matches the internal size of the main body 100 of the demonstrator can be inserted. The iron nails on the cuboid frame are connected with the corresponding magnets to support the transformation of different scenarios such as classroom, warehouse, and gift box, meet different teaching needs, facilitate dynamic demonstration, and users can also disassemble any horizontal board 110 and vertical board 120 separately, and then simulate the movement path of the magnetic ant from the inside to the outside of the main body 100 of the demonstrator.

[0033] Furthermore, because the demonstration rope is elastic, the starting or ending point of the rope can be flexibly adjusted during the demonstration to complete the real-time display of path changes.

[0034] like Figure 2 As shown, a plug rod is provided on the outer side of the slider 121, and the cap 122 is fitted onto the end of the plug rod.

[0035] The plug and cap 122 are detachably connected, so that users can mark the starting point and ending point of the movement according to different points and different colors of cap 122.

[0036] like Figure 1 , Figure 2 and Figure 4 As shown, two grooves are provided on the outer side of the upright plate 120, and one side of the slider 121 is slidably connected to the inside of the groove.

[0037] A groove is used to provide space for the movement of slider 121.

[0038] like Figure 2 and Figure 3 As shown, a spring 221 is sleeved on the outer side of the docking shaft 220. One end of the spring 221 is installed on the outer side of the docking shaft 220, and the other end of the spring 221 is installed on the outer side of the hinge piece 210.

[0039] A spring 221 is used to apply pressure to the mating shaft 220, thereby ensuring the connection stability between the mating shaft 220 and the hinge piece 210; and after the mating shaft 220 is pulled, the spring 221 can drive its reset movement, improving ease of use.

[0040] like Figure 1 As shown, frame-shaped grooves are provided on the opposite sides of the two horizontal plates 110, and the width of the frame-shaped grooves is the same as the width of the slide grooves.

[0041] Users can insert the corresponding sliders 121 and caps 122 into the frame slots according to teaching needs to change the starting and ending point marking positions, which is suitable for different motion paths.

[0042] like Figure 2As shown, one of the upright plates 120 includes two docking plates, which are connected by four connecting mechanisms 200. The slider 121 slides against the groove through friction.

[0043] The double-layer structure formed by two docking plates can simulate the path of an ant penetrating from the inside to the outside after folding and flipping.

[0044] This creates resistance between the two, thereby ensuring the stability of slider 121 and reducing the occurrence of accidental slippage;

[0045] It should be noted that the two docking plates can be flipped and folded from any side. When flipping and folding, the corresponding connection mechanism 200 can be combined and separated. The specific flipping and folding operation can be selected according to the actual needs.

[0046] Working principle: One end of multiple demonstration ropes is attached to the corresponding cap 122 in the starting area, and then attached to the outside of the main body 100 of the demonstrator along different demonstration paths. The other end is attached to the corresponding cap 122 in the ending area. Then the main body 100 of the demonstrator is unfolded and laid flat, so that the horizontal plate 110 and the vertical plate 120 are on the same horizontal plane, transforming the three-dimensional path into a two-dimensional path, which is convenient for students to observe intuitively. During the demonstration, the positions of the two ends of the demonstration ropes can be flexibly adjusted to achieve real-time demonstration of path changes and meet different teaching needs.

[0047] Any horizontal plate 110 or vertical plate 120 can be disassembled to simulate the movement path from the inside to the outside of the demonstrator body 100. By connecting the magnetic locator added inside the demonstrator body 100 with the demonstration rope, the path of the demonstration rope can be observed. After the demonstrator body 100 is unfolded, the path length can be observed and calculated.

[0048] The technical features of the above embodiments can be combined in any way. For the sake of brevity, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0049] The above-described embodiments are merely illustrative of several implementations of this utility model, and while the descriptions are relatively specific and detailed, they should not be construed as limiting the scope of this utility model. It should be noted that those skilled in the art can make various modifications and improvements without departing from the concept of this utility model, and these all fall within the protection scope of this utility model. Therefore, the protection scope of this utility model should be determined by the appended claims.

Claims

1. A demonstrator for the shortest path of an ant climbing a cuboid surface, characterized in that, include: The main body of the demonstrator (100) is composed of two horizontal plates (110) and four vertical plates (120); It also includes a connecting mechanism (200), the number of which is a set, and the set of connecting mechanisms (200) is respectively disposed on the four sides of the vertical plate (120) and the horizontal plate (110); The connecting mechanism (200) includes two hinge pieces (210) and two mating shafts (220). Two adjacent hinge pieces (210) are staggered and connected by mating shafts (220). The mating shafts (220) are slidably connected to the interior of the hinge pieces (210).

2. The shortest path demonstrator for ants climbing a cuboid surface according to claim 1, characterized in that, Two sliders (121) are provided on the outer side of the upright plate (120), and caps (122) are provided on the outer side of the sliders (121).

3. The shortest path demonstrator for ants climbing a cuboid surface according to claim 2, characterized in that, A plug rod is provided on the outside of the slider (121), and the cap (122) is fitted onto the end of the plug rod.

4. The shortest path demonstrator for ants climbing a cuboid surface according to claim 2, characterized in that, Two grooves are provided on the outer side of the upright plate (120), and one side of the slider (121) is slidably connected to the inside of the groove.

5. The shortest path demonstrator for ants climbing a cuboid surface according to claim 1, characterized in that, A spring (221) is sleeved on the outside of the docking shaft (220). One end of the spring (221) is installed on the outside of the docking shaft (220), and the other end of the spring (221) is installed on the outside of the hinge piece (210).

6. The shortest path demonstrator for ants climbing a cuboid surface according to claim 4, characterized in that, The two horizontal plates (110) are provided with frame-shaped grooves on opposite sides, and the opening width of the frame-shaped grooves is the same as the opening width of the slide grooves.

7. The shortest path demonstrator for ants climbing a cuboid surface according to claim 4, characterized in that, One of the uprights (120) includes two docking plates, which are connected by four connecting mechanisms (200).

Images