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Fibonacci spiral track demonstration instrument

A spiral and Fibonacci technology, applied in the field of mathematical models, can solve the problems of no Fibonacci spiral drawing tools, time-consuming and laborious, and achieve the effect of precise structure and accurate drawing.

Active Publication Date: 2017-07-28
ZHENGZHOU UNIVERSITY OF AERONAUTICS
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

In the current mathematics teaching, there is no drawing tool specifically for the Fibonacci spiral, which makes it necessary to use the traditional square auxiliary composition method when drawing the Fibonacci spiral, which is time-consuming and laborious and requires a lot of auxiliary tools

Method used

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  • Fibonacci spiral track demonstration instrument
  • Fibonacci spiral track demonstration instrument
  • Fibonacci spiral track demonstration instrument

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Experimental program
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Embodiment Construction

[0020] The specific implementation manners of the present invention will be described in further detail below in conjunction with the accompanying drawings.

[0021] Depend on Figure 1 to Figure 9 Given, the present invention includes a box body 1, the box body 1 is provided with a left and right penetrating cavity, the left end of the box body 1 is installed with a connecting body 2 placed below the box body 1, and a horizontally arranged Rotating shaft 3, friction wheel 4 is installed on the left end of rotating shaft 3, constitutes the structure that friction wheel 4 rotates on connecting body 2 along with rotating shaft 3; 5. The pitch of the helical groove 5 is 4 times the maximum radius of the friction wheel 4; the rotating shaft 4 is fitted with a moving block 6 placed under the box body 1, and the moving block 6 has a guide column 7 placed in the helical groove 5 , forming a structure in which the guide column 7 slides in the spiral groove 5 when the rotating shaft 3...

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Abstract

The invention relates to a Fibonacci spiral track demonstration instrument comprising a box body, the left end of the box body is provided with a connecting body, the connecting body has a horizontal rotating shaft, and a friction wheel is arranged on the left end of the rotating shaft. The rotating shaft is provided with a spiral groove, a movable block having a guide post disposed in the groove is arranged on the rotating shaft, the upper part of the movable block is provided with a first rack and a second rack, the front side of the first rack is provided with a third rack, the rear side of the second rack is provided with a fourth rack, and a sections of the first rack, the second rack, the third rack and the fourth rack are clamped in the cavity of the box body; the cavity of the box body has a gear shaft, the gear shaft is provided with a first gear and a second gear, the first gear is meshed with the first rack and the third rack, the second gear is meshed with the second rack and the fourth rack, and the third rack and the fourth rack are respectively provided with a first positioning pin and a second positioning pin. The Fibonacci spiral track demonstration instrument has the advantages of precise structure and accurate drawing, and only needs to change the positions of the positioning pins every 90 DEG to realize the demonstration of the Fibonacci spiral.

Description

technical field [0001] The invention relates to a mathematical model, in particular to a Fibonacci spiral trajectory display instrument. Background technique [0002] As a classic mathematical curve, the Fibonacci spiral widely exists in our daily life and nature. The spiral arrangement of sunflower fruits and the spiral patterns on the shells of some shell creatures are typical Fibonacci Spiral, however, many students often find it difficult to understand where this spiral comes from and what is the corresponding relationship with the Fibonacci sequence. Therefore, there is a need for a drawing tool that can quickly display the generation trajectory of the Fibonacci spiral and intuitively understand the relationship between it and the Fibonacci sequence, to help students recognize and understand the relationship between the Fibonacci sequence and Fibonacci spiral. In the current mathematics teaching, there is no drawing tool specifically for the Fibonacci spiral, which ma...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G09B23/02
CPCG09B23/02
Inventor 程春蕊朱军辉毛北行娄光谱
Owner ZHENGZHOU UNIVERSITY OF AERONAUTICS
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