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Do Over! Strange Ruled surfaces

For this time. We can choose a topic we have done before, and I hope to improve on the original basis. So I chose the one that failed to print the most among all my models. That is, Ruled surfaces. Due to lack of experience, the printing of the model defaulted to be able to show what I really wanted, but it was obvious that the last printed product did not make me happy. After printing many times, I learned that if you want to have a clear line and be successful, the bigger it is, the easier it is to show what I want. So first review the definition of Ruled surfaces: In geometry, if at least one straight line passes at any point on a curved surface, the curved surface is called a ruled surface. Another common saying is that if a curved surface can be formed by a straight line through continuous motion, it can be called a Ruled surfaces.

The last time I chose the combination of closed curve and non-closed curve, then this time I decided to try an even stranger combination: a combination of multiple line segments and curves. So how to realize multiple line segments?

The answer is simple, the tan function. The image of the tan function is divided into segments of curves due to its special properties. This is exactly what I want.
The choice for the interval is from 0° to 360°, which is 0 to 2π. In this case, this curve will have obvious breaks at 90° and 270°, because it approaches positive infinity and negative infinity, respectively. In other words, within the interval, there are three curves (oh yeah). In order to highlight the tan function, I am not adding too many elements, the equation is [tan(x),0,.04*x]. To be honest, I didn’t know what it would look like before it was made.
The second curve is still a straight line temporarily, which allows me to see the first curve clearly. If the second one is just a straight line, I cannot accept it. When I thought that since I used the tan function, the other one would use a spirally ascending curve. That would be great. The equation is [4*sin(x),4*cos(x),.04*x].
From the upper angle, you can see the spiraling and rising curve, which looks good, just like DNA spiraling and rising, there is nothing strange.

But if we look at it from another angle, it looks... easy to break
Because the first curve is divided into three parts, the whole is connected by the second curve, which makes it look a little strange. The three line segments are connected to the second curve respectively. Both the upper and lower parts form a quarter circle, and the longer line segment in the middle and the second curve form a half circle (viewed from above). I like this. Personally, this one is stranger than the last one, and it looks cooler.
Because it seemed untenable, I added a base to it. The size of its final model should be: x: 58.02 y: 50 z: 78.19

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