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 midget. 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 midget.

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) 1987-2017.     Mu-ency index


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This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2017 Feb 02. s.11