Here's the thing I came-up with to experiment with different shapes:

I first became aware of this technique from Dan Shiffman's Coding Train Coding Challenge:

And that led me on to find an excellent article and Github project by Jason Webb

My first attempt using Jason's code:

I was so beguiled by the technique that I spent quite a while digging into the code and setting up a version to experiment with:

You know it's all over when the victorian lady jumps the stool.

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