Spirograph 繁花曲线规

简介 万花尺 也叫繁花曲线规，是一种绘图玩具，由外图板及内圆图板两部分组成。内圆图板像一个齿轮，沿圆心不同半径的位置带有许多笔洞，外图板为一类似为内齿轮的大型圆孔，内圆板放在外图板的圆洞中，循着圆周转动，以铅笔或圆珠笔从笔洞可以画出像花朵一样规则图案。有些万花尺会配有几个不同半径的内圆图板。 万花尺所画出的图案，与外图板圆圈半径、内圆图板半径及笔洞位置有相关性。图案令人联想到万花筒，故名万花尺。 从数学（尤其是解析几何）观点观察，内圆板放在外图板的圆洞中，循着圆周转动所画出的图案是内旋轮线；两个内圆板互贴，固定其中一个内圆板，让另一个可活动内圆板沿着固定内圆板转动所画出的图案是外旋轮线；外图板为长方形之内挖出大圆孔，如果外图板的长方形外框上具有齿轮（一般没有，只有刻度供儿童当直尺使用）的话，内圆板沿着长方形外框转动所画出的图案是短摆线。   短摆线，内圆板沿着长方形外框转动所画出的图案 内旋轮线，万花尺最常见的用法 外旋轮线，可活动内圆板沿着固定内圆板转动所画出的图案   brief introduction   The Wanhua ruler, also known as the Fanhua curve gauge, is a type of drawing toy consisting of an outer drawing board and an inner circular drawing board. The inner drawing board is like a gear, with many pen holes at different radii along the center of the circle. The outer drawing board is a large circular hole similar to the inner gear, and the inner drawing board is placed in the circular hole of the outer drawing board. It rotates along the circumference and can be drawn with a pencil or ballpoint pen from the pen hole to draw a regular pattern like a flower. Some calipers are equipped with several inner circle drawing boards of different radii. The pattern drawn by the ruler is related to the radius of the outer circle, the radius of the inner circle, and the position of the pen hole. The pattern is reminiscent of a kaleidoscope, hence the name Wanhuachi. From a mathematical (especially analytical geometry) perspective, the pattern drawn by placing the inner circular plate in the circular hole of the outer drawing plate and rotating it along the circumference is an inner spiral line; Two inner circular plates are attached to each other, one of which is fixed, and the other movable inner circular plate rotates along the fixed inner circular plate. The pattern drawn is an outer spiral wheel line; The outer drawing board is a rectangle with a large circular hole dug out inside. If there are gears on the rectangular outer frame of the outer drawing board (usually not available, only scales are used by childre