R2 Name Examples
Robert P. Munafo, 1999 Feb 8.
R2-Name: R2a
Type of feature: mu-atom
Description: This is the large cardioid, the largest mu-atom in the Mandelbrot Set.
Breakdown:
R2 Prefix
a Mu-unit owner operator.
R2-Name: R2F(2/5B1)
Abbreviated: R2F(2/5)
Type of feature: Filament
Description: This is the largest branch attached to the mu-atom R2.2/5a. It is the branch in the upper-left of the picture in the R2.2/5 entry.
Breakdown (using unabbreviated form):
R2 Prefix
F(2/5B1) Primary-Filament Operator. Specifies the first branch off of the .2/5 mu-unit.
R2-Name: R2F(1/3B1)S
Abbreviated: R2F(3)S
Type of feature: island mu-molecule
Description: This is the largest asymmetrical period-4 minibrot. See the picture at R2F(1/3B1)S.
Breakdown (using unabbreviated form):
R2 Prefix
F(1/3B1) Primary-Filament Operator. Specifies the first branch off of the .1/3 mu-unit. This is the upper-left branch in the picture under the R2.1/3 entry.
S Largest-Island Operator. Specifies the island of lowest period.
R2-Name: R2.1/2.C(1/5)-
Abbreviated: R2.2.C(5)-
Type of feature: cusp
Description: This is the cusp along the right half of the bottom edge of the image on the cover of the August 1985 Scientific American.
Breakdown (using unabbreviated form):
R2 Prefix
.1/2 Mu-unit Child Operator. The mu-unit of the atom which is a child of R2a and whose internal angle is 1/2.
.C(1/5)- Cusp Operator. Find the child mu-atom whose internal angle is 1/5, and then find the cusp on the anticlockwise side of it.
R2-Name: R2F(1/2B1)FS[3/7B1]FS[0]{FS[1/2B1]}x5J8
Abbreviated: R2F(2)FS[3/7][0]{[2]}x5J8
Type of feature: 8-fold Embedded Julia Set
Description: This 8-fold Julia Set is located somewhat north of the "Seahorse Valley" of the period-3 minibrot.
Breakdown (using unabbreviated form):
R2 Prefix
F(1/2B1) Primary-Filament Operator. Specifies the first branch off of the .1/2 mu-unit.
FS[3/7B1] Filament-Subset Operator. Locate the lowest-period island, then locate the tip of the .3/7B1 filament from that island. The selected filament is attached at that point.
FS[0] Filament-Subset Operator. Locate the lowest-period island, then locate the seed's cusp. The selected filament is the subset that touches the island at that point.
FS[1/2B1] Filament-Subset Operator. Locate the lowest-period island, then locate the tip of the .1/2B1 filament from that island. The selected filament is attached at that point.
{...}x5 Substring Repetition Convention. The section inside the braces (which is the Filament-Subset Operator FS[1/2B1]) should be applied an additional 4 times (for a total of 5).
J8 Embedded Julia Set operator. Find the lowest-period island, then locate the largest subset of the current filament which includes this island and has (approximately) 8-fold symmetry.
Want to illustrate a name that includes nested parentheses, such as R2F(1/2(1/3B)B)
%%not finished yet
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 2023 Jul 03.
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