an article by Mandelbrot and Frame SelfContacting Fractal Trees by Don West, Department of Mathematics, SUNY Plattsburgh
When I asked by email where one could see the details of the investigation, Frame responded "...there isn't, nor is there likely to be, a version of the paper with all details spelled out. It would be a bit long and I think fairly boring." He suggested that a web page might be the appropriate medium for such material. I hope that this page will begin to serve the purpose. As charming as it is, The Mathematical Intelligencer is not a large circulation journal, so to help readers who do not have the original article available, I shall repeat some of its statements, sometimes with my own comments. HTML is not designed to reproduce mathematical notation. Indeed, the Math Forum page suggests simply using .gif images to present equations. We used this solution here, with apologies to users of textonly browsers. We also removed several text symbols, such as the angle and triangle symbols, not known to earlier browsers. If you cannot read these pages, but would like to do so, let me know and we will work something out.
MORE STUFF 
As alternatives to Mandelbrot and Frame's equation (2):
we offer the cosine equation:
and the closed form:
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