ARTMATRIX Naming
Robert P. Munafo, 2023 Apr 20.
ARTMATRIX produced many materials (such as slides and postcards) featuring fractal images, and assigned concise names to most of the images, many of which were key illustrations in printed materials about the Mandelbrot set and Julia sets, etc.
One such publication produced in 1989 was Complex Dynamics — Volume I — An Introduction to Mandelbrot and Julia Sets. It consisted of 80 color slides, a Slide Description Booklet, two posters, and a Workbook in Complex Dynamics. The following names were used to refer to each of the items indicated:
Main series of mu-atoms and mu-units
M1 : The entire Mandelbrot set (R2).
M2 : "The 2-ball with its antennae" (R2.1/2).
M3 : "The 3-ball with its antennae" (R2.1/3).
M4 : "The 4-ball with its antennae" (R2.1/4).
M5 : "The first 5-ball (on the right of the cardioid) with its antennae" (R2.1/5).
M(2)5 : "The second 5-ball (on the left of the cardioid) with its antennae" (R2.2/5).
MC : "The cusp of the cardioid (R2.C(0)).
ME : "A typical elephant" (specifically R2.1/12).
Islands
MB3 : R2F(1/2B1)S and most of its decorations
MB3A : A closer view of R2F(1/2B1)S
MB4 : R2F(1/3B1)S
Other
M3YA : R2F(1/3B*) (size of view is 0.035)
M3YAA : R2F(1/3B*) magnified more (size of view is about 0.001)
M3I : R2F(1/3B2) (centered on the point 0+i)
revisions: 20230417 first version; 20230420 add Islands section
From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2024.
Mu-ency main page — index — recent changes — DEMZ
This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2023 Apr 20.
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