I've found a pretty easy to use method to create videos with graphical output from a webpage. Therefore, I have experimented with creating spirals.

At first: At the moment (as far I know) only the browser Chrome can be used, to record animations. It works on Windows, Android and iOS. The video storage format is WEBM.

Here you can configure and record spirals.

Here are some examples: 1, 2, 3, 4

Also, I've created a video with spirals (voiced by u/Yknikyhslrig)

u/WendysLostBoys uses a spiral in one of her videos: Steps to damnation (She had some troubles, because the webm format was difficult to use with her software.)

You can configure some parameters of the spiral. The recording should stop after one whole cycle of the spiral. So you can repeat the video to create a seemless spiral.

It should be possible to record nearly every graphical animation you can see in a web browser, I guess.

I don't own anything. Feel free to use, copy and put it to your own work.

I don't know, if this is usefull for someone. But if, let me know. It could motivate me to do more stuff like this.