Mobius band demonstration teaching aid easy to store

Abstract

The invention discloses an easy-to-store Mobius band demonstration teaching aid in the technical field of Mobius bands, which comprises a band and a sticker, the band of the easy-to-store Mobius band demonstration teaching aid forms a reel shape to be stored after being produced, the easy-to-store Mobius band demonstration teaching aid is convenient to take and carry, the deformation operation of a Mobius band can be performed by unfolding a section of the band during use, and the use is convenient. The device is simple in structure, convenient to use, convenient to deform, diverse in change and high in use convenience, a plurality of strips can be pasted into a whole in a stacked mode to display changes, the strips can be torn left and right to be changed and used side by side, and the device is simple in structure, convenient to use and high in practicability. And meanwhile, the colors of the strips of the device are obviously distinguished, so that the colors of the changed strips can be conveniently displayed, the end-to-end connection change of the Mobius ring and the connection difference of left and right mirror images can be known, and the teaching is simpler and easier to understand.

Description

Technical Field

[0001] This invention relates to the field of Möbius strip technology, and in particular to an easily retractable Möbius strip demonstration teaching aid. Background Technology

[0002] A Möbius strip is a topological structure with only one facet and one boundary. It was independently discovered in 1858 by the German mathematician and astronomer Franz Fröbius and Johann Listing. This structure can be easily created by rotating a strip of paper half a turn and then gluing the ends together. In fact, there are two distinct mirror images of a Möbius strip, which are symmetrical to each other. Rotating the strip clockwise and then gluing it together creates a right-handed Möbius strip, and vice versa.

[0003] The Möbius strip has many variations. Some can be viewed by placing them side by side to observe their bending and deformation. Others require multiple Möbius strips to be interlocked to observe their changes. Still others allow you to observe the twisting and turning of the connected Möbius strips on both sides.

[0004] The Möbius strip has a wide variety of structural variations. Currently, topology teaching mainly uses pictures or animations for explanation, which is difficult to explain and only shows the result without the dynamic process of change. There are now some devices to demonstrate the changes of the Möbius strip, but their structures are complex and inconvenient to carry. In particular, some are made on the spot using straight sheets or strips of paper, which are not only easy to break, but also the curvature of the bending deformation is not smooth, resulting in wrinkles or creases in the twisted Möbius strip shape. All of these will lead to abnormal structural display. Furthermore, the paper strip form of the Möbius strip is easy to break when folded, and it is impossible to show the connection between the curved surfaces of the front and back, making it difficult to distinguish and display.

[0005] Based on this, the present invention designs an easy-to-store Möbius strip demonstration teaching aid to solve the above problems. Summary of the Invention

[0006] The purpose of this invention is to provide an easy-to-store Möbius strip demonstration teaching aid. The strips of this device are manufactured in a roll for easy storage, making them convenient to use and carry. When in use, simply unfold one section of the strip to perform the Möbius strip transformation. Adhesive is also included, allowing individual sections of the strip to be glued end-to-end into a complete ring. This makes it convenient to use and transform. Furthermore, this device is versatile and highly convenient to use. Multiple strips can be stacked and glued together to demonstrate the transformations, or the strips can be torn apart side-by-side for parallel transformations. The strips are clearly distinguishable by color, making it easy to display the color changes after the strips are transformed, and to understand the transformations of the Möbius strip's ends and the differences between left and right mirrored connections, making teaching simpler and easier to understand.

[0007] This invention is achieved as follows: an easily foldable Möbius strip demonstration teaching aid, comprising: Strips and adhesive tapes; The strip is a flexible, sheet-like long strip structure, and longitudinal tear lines are provided on the strip, with the longitudinal tear lines penetrating both ends of the strip; Multiple strips are wound together end to end to form a complete roll, and transverse tear lines are provided between the strips that are connected end to end; each transverse tear line runs through the left and right sides of the strip. Furthermore, each of the aforementioned transverse tear lines is parallel to each other and has the same spacing length; There are multiple longitudinal tear lines, each of which is parallel to the long side of the strip, and the spacing d between each longitudinal tear line is the same. The strip is also provided with an adhesive sticker at its tail end. The adhesive sticker is arranged horizontally and completely covers the width of the strip in the left-right direction. Each of the adhesive patches was covered with release paper; The horizontally arranged stripes separated by the vertical tear lines are all different colors; The vertical stripes, separated by the horizontal tear lines and connected end to end, are of the same color.

[0008] Furthermore, the strip is a PVC sheet with a thickness of no more than 1 mm.

[0009] Furthermore, the strip has 2-4 longitudinal tear lines, and each longitudinal tear line vertically runs through both ends of the strip; Both the longitudinal and transverse tear lines are easy-tear lines.

[0010] Furthermore, the height of the adhesive tape is 1cm-2cm, and the adhesive tape is a pressure-sensitive film; The adhesive and strip are bonded together as an integral structure; Each strip has adhesive tape at both ends, and each adhesive tape is covered with release paper.

[0011] Furthermore, the colors of the front and back sides of the strip are either mirror images of each other or the same.

[0012] The beneficial effects of the present invention are: 1. The present invention divides a large number of strips by longitudinal tear lines and transverse tear lines, so that multiple strips are arranged in a horizontal parallel manner and connected end to end in a strip roll, making the strips more convenient to carry. When taking them out, you only need to unfold the required length, and it is also very convenient to use. 2. The advantage of this device is that the strip can be easily torn apart by the horizontal tear line, so that one or more sections can be used for subsequent Möbius transformations. Unused sections can still be rolled up and stored, making it convenient to use and store. 3. This device can also tear the strip through the longitudinal tear line and divide it into multiple strips of the same length but different colors. It can display the changes of the untorn parallel strips to make it easy to compare the color changes of the front and back sides of the Möbius strip in the twisted state. It can also tear the strip into multiple strips to meet the quantity requirements when multiple Möbius strips are nested together. The different colors can also make it easy to distinguish the nesting forms of different Möbius strips, making it very convenient to use. Attached Figure Description

[0013] The present invention will be further described below with reference to the accompanying drawings and embodiments.

[0014] Figure 1 This is a schematic diagram of the front structure of a strip of the present invention; Figure 2 This is a schematic diagram of the bent state structure of a strip of the present invention; Figure 3 This is a schematic diagram of the release paper tearing state of a section of the strip according to the present invention; Figure 4 This is a schematic diagram of the structure of the present invention, showing multiple strips rolled into a roll. Figure 5 This is a schematic diagram of the Möbius strip structure formed by twisting a section of the strip according to the present invention; Figure 6 This is a schematic diagram of the loop structure formed by one strip and another strip that is horizontally spliced ​​together in parallel according to the present invention. Figure 7 This is a schematic diagram of the Möbius strip structure formed by connecting three strips end to end to form a multi-segment twisted state according to the present invention. Figure 8 This is a schematic diagram of the two-layered, stacked, and connected strip structure of the present invention; Figure 9 This is a schematic diagram of the color-changing structure of the three horizontally parallel strips of the present invention.

[0015] The attached diagram lists the components represented by each number as follows: 1-Strip, 11-Longitudinal tear line, 12-Transverse tear line, 2-Adhesive, 21-Release paper. Detailed Implementation

[0016] Please see Figures 1 to 9 As shown, the present invention provides an easy-to-store Möbius strip demonstration teaching aid. In order to better understand the above technical solution, the above technical solution will be described in detail below with reference to the accompanying drawings and specific embodiments.

[0017] In a specific embodiment of the technical solution of the present invention: Includes strip 1 and adhesive tape 2; Strip 1 is a flexible, sheet-like long strip structure. Strip 1 is a PVC sheet with a thickness of no more than 1mm, which gives strip 1 excellent flexibility and elasticity. It can stretch and open in a twisted state, so that the spliced ​​Möbius strip arc surface can be stretched out and displayed in an excellent state.

[0018] A longitudinal tear line 11 is provided on the strip 1, and the longitudinal tear line 11 penetrates both ends of the strip 1; Multiple strips 1 are connected end to end and wound into a complete roll. The strips 1 in the roll state are also positioned by adhesive 2 to effectively prevent the roll from unraveling.

[0019] A transverse tear line 12 is provided between the two connected strips 1, and the two connected strips 1 are divided by a longitudinal tear line 11; each transverse tear line 12 runs through the left and right sides of the strip 1. Furthermore, each horizontal tear line 12 is parallel to each other and has the same spacing. There are multiple longitudinal tear lines 11, each longitudinal tear line 11 is parallel to the long side of the strip 1, and the spacing width d between each longitudinal tear line 11 is the same; There are 2-4 longitudinal tear lines 11 on the strip 1, and each longitudinal tear line 11 runs vertically through both ends of the strip 1; Both the longitudinal tear lines 11 and the transverse tear lines 12 are easy-to-tear lines. Some strips 1 have only three longitudinal tear lines 11, while others have four. As long as it is easy to tear and manufacture, there can be multiple longitudinal tear lines 11 on the same strip 1 in this device, as long as each longitudinal tear line 11 is parallel to the others. Strips 1 with multiple longitudinal tear lines 11 can be torn to form strips 1 with fewer longitudinal tear lines 11. Therefore, strips 1 with multiple longitudinal tear lines 11 can be narrowed by hand tearing, making them more convenient to use.

[0020] The end of the strip 1 is also provided with an adhesive sticker 2, which is set horizontally and completely covers the width of the strip 1 in the left and right directions. Each adhesive sticker 2 is covered with release paper 21, which is a long strip of thin sheet; the height of the adhesive sticker 2 is 1cm-2cm, and the adhesive sticker 2 is a pressure-sensitive film; The adhesive 2 and the strip 1 are bonded together as a whole, which makes it easy to bond the strip 1 through the adhesive 2.

[0021] Alternatively, adhesive strips 2 can be set at both ends of each strip 1, and release paper 21 can be covered on the adhesive strips 2 at both ends. The setting method is simple, making it easier to stick the adhesive strips 2. Furthermore, the connection between the ends makes it easy to stick and position the adhesive strips 2 of the outermost strip 1 to the outer side of the inner strip 1, so that the strip 1 can be easily rolled into a roll for storage. The operation is convenient and it is also very convenient to unfold.

[0022] The horizontally parallel stripes 1, separated by vertical tear lines 11, are all different colors; The vertical stripes 1, which are separated by horizontal tear lines 11 and connected end to end, are of the same color.

[0023] The colors of the two sides of strip 1 are either mirror images of each other or the same.

[0024] It should be noted that: The Möbius strip exhibits a wide variety of variations, with its twisting state also displaying numerous changes. This makes it difficult to discern the twisted shapes on both sides of a connected Möbius strip, and to immediately identify whether the edges have swapped at different twisting angles. This device uses strips of different or the same color 1 to conveniently distinguish the color changes of the connected Möbius strips.

[0025] like Figure 3 The colors a, b, and c on the front and back of strip 1 are mirror images of each other. That is, the colors on the front and back of the same strip 1 are different. The back color of strip 1 with color a on the front is c. The front and back colors of strip 1 are the same. The back color of strip 1 with color c on the front is a. With this color, when the three unsplit strips 1 are connected end to end, they can be joined to form a matching color instead of a matching color.

[0026] And such Figure 8 As shown, when strips of the same color on both sides are twisted and joined end to end, at the two adhesive points of the seam, the strip of color A will be joined to the strip of color C, and the strip of color B will still be joined to the strip of color B. The joint of the strips can be clearly seen.

[0027] The advantage of different colors for strip 1 is also that... Figure 7 As shown, when the three strips 1 are connected end to end, it is easy to see the splicing status of different colors.

[0028] Of course, when you need to connect longer Möbius strips of the same color, you can use three strips of color 'a' to connect them.

[0029] The advantages of different colors also include, for example Figure 6 As shown, the color composition of the different strips 1 and the connection status of the rings can be clearly distinguished.

[0030] When using this invention, the number of strips 1 is selected according to the size of the Möbius strip. After taking a strip of appropriate length 1, the corresponding horizontal tear line 12 is torn open for use, making the operation convenient.

[0031] It begins to change and twist to form a Möbius strip.

[0032] With strip 1 already connected end-to-end to form a Möbius strip, tearing one of the longitudinal tear lines 11 separates one of the Möbius strips, forming... Figure 6 The state shown.

[0033] Different colors are displayed more clearly. In this state, it is necessary to use strip 1, which is the same color on both sides, to facilitate color differentiation.

[0034] When stripes 1, whose front and back sides are mirror images of each other, are spliced ​​together, they will form something like... Figure 9 As shown, after the twisting and splicing, the color 'a' is still connected to the 'a' color strip 1, and the color 'c' is also spliced ​​to the 'c' color strip.

[0035] like Figure 8 As shown, multiple strips 1 are stacked in opposite directions to form double or multiple layers of stacked strips 1. These stacked strips 1 can be glued together with adhesive 2 to form an overall structure with the ends attached. Then, they can be twisted and deformed into a Möbius strip. At this point, the stacked strips 1 can be separated, thus forming different variations. This device can be operated in a variety of ways, making the changes more flexible and the storage and retrieval more convenient.

[0036] The term "end" and "end" in this device refers to the direction in which the strips 1 are spliced ​​together, that is, the places where the strips 1 are connected to each other when they are rolled into a roll. "Left" and "right" refer to the horizontally parallel strips 1. The orientation or positional relationship indicated is based on the orientation or positional relationship shown in the accompanying drawings. It is only for the purpose of describing the present invention and simplifying the description, and is not intended to indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation. Therefore, it should not be construed as a limitation of the present invention.

[0037] While specific embodiments of the present invention have been described above, those skilled in the art should understand that the specific embodiments described are merely illustrative and not intended to limit the scope of the present invention. Equivalent modifications and variations made by those skilled in the art in accordance with the spirit of the present invention should be covered within the scope of protection of the claims of the present invention.

Claims

1. A Möbius strip demonstration teaching aid that is easy to store, characterized in that, include: Strip (1) and adhesive tape (2); The strip (1) is a flexible sheet-like long strip structure, and longitudinal tear lines (11) are provided on the strip (1), and the longitudinal tear lines (11) penetrate the beginning and end of the strip (1); Multiple strips (1) are connected end to end and wound into a complete roll, and a horizontal tear line (12) is provided between the connected strips (1); each horizontal tear line (12) runs through the left and right sides of the strip (1); Furthermore, each of the aforementioned transverse tear lines (12) is parallel to each other and has the same spacing length; There are multiple longitudinal tear lines (11), each of which is parallel to the long side of the strip (1), and the spacing d between each longitudinal tear line (11) is the same. The strip (1) is also provided with an adhesive sticker (2) at its tail end. The adhesive sticker (2) is arranged horizontally and completely covers the width of the strip (1) in the left-right direction. Each of the adhesive stickers (2) is covered with release paper (21); The horizontally parallel stripes (1) separated by the vertical tear lines (11) are all different colors; The vertical stripes (1) that are connected end to end by the transverse tear lines (11) are of the same color.

2. The easily foldable Möbius strip demonstration teaching aid according to claim 1, characterized in that: The strip (1) is a PVC sheet with a thickness not exceeding 1 mm.

3. The easily foldable Möbius strip demonstration teaching aid according to claim 1, characterized in that: There are 2-4 longitudinal tear lines (11) on the strip (1), and each longitudinal tear line (11) vertically runs through both ends of the strip (1); Both the longitudinal tear line (11) and the transverse tear line (12) are easy-tear lines.

4. The easily foldable Möbius strip demonstration teaching aid according to claim 1, characterized in that: The height of the adhesive tape (2) is 1cm-2cm, and the adhesive tape (2) is a pressure-sensitive film; The adhesive (2) and the strip (1) are bonded together as an integral structure; Each strip (1) has adhesive tape (2) at both ends, and release paper (21) is covered on the adhesive tape (2) at both ends.

5. The easily foldable Möbius strip demonstration teaching aid according to claim 1, characterized in that: The strips (1) that are horizontally spliced ​​together have mirror or identical colors on both sides.

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