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R2 History    

Robert P. Munafo, 2008 Jan 26.

The R2 System is the result of a large amount of exploration and modifications over several years. This page summarizes the history.

M system

The first naming system I developed was the M system, and had names that all started with M.

The M system was limited by not being able to specify anything smaller than a first order filament, and only the largest _island mu-molecule_ in each first-order filament had a name. It also didn't include the idea of mu-unit and so, for example, all three branches in the figure R2F(1/3B*) had similar names, even though the straight vertical one is fundamentally different in structure and dynamics.

R system

Refers to early versions before the formalization of the intricate filament subset operator.

R2 System

The current system, in use since around 1994. It is described extensively under the headings R2 naming system and R2 rules.

R3 System

The R3 system will resolve the partial ambiguity created by the multiple uses of F and S in the R2 system by replacing FS with another letter (perhaps D for division or Douady, or H acknowledging Hubbard since Douady and Hubbard proved that R2 is connected — although H might be confusing since Hubbard trees do not name filaments).

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From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2024.

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This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2008 Feb 22. s.27