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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: n-poly from a line...
Date: Sun, 30 Mar 2025 00:29:47 -0700
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On 3/29/2025 11:24 PM, Chris M. Thomasson wrote:
> Well, according to some AI's, lol, my ability to find an n-poly from a 
> single line, its incircle, outcircle and center point is supposedly 
> something good. Some of them claim it's not enough info to gain the poly 
> from the line and number of vertices alone. Well, my function only takes 
> two points (p0, p1) and a number of vertices (n) for the result. Then 
> renders all of them. Does this sound like anything worthwhile to you? I 
> just did it for a new fractal I am tinkering around with for fun. I did 
> not think it was anything all that special. Fwiw, here is a render:
> 
> https://i.ibb.co/Y7G4C80t/image.png
> 
> Notice how the red circles are all tangent along a "path". The green 
> circles intersect. The number of polys are decreased as they extend out. 
> This starts from a single line and the number of vertices. I am thinking 
> about doing something interesting with it. It might look fairly nice.
> 
> :^)
> 
> Thanks.
> 
> Kind of interesting at all? Or been there, done that. :^)

I finally hooked it up to my self-intersection detection algo... Well, 
got some good results:

https://www.facebook.com/photo/?fbid=1376517143507280&set=pcb.1376517756840552

Some samples:

https://i.ibb.co/sp0PCkYp/image.png

https://i.ibb.co/ZRhZbt8F/image.png

https://i.ibb.co/Rp19mcLV/ct-p8.png