This is a file from the Wikimedia Commons

File:Parabolic chessboard for internal angle 1 over 3 with target set.png

From Wikibooks, open books for an open world
Jump to navigation Jump to search

Original file(1,001 × 1,001 pixels, file size: 19 KB, MIME type: image/png)

Summary

Description
English: Julia set for internal angle 1 over 3 with marked components and target set for numerical approximation of the parabolic chessboard (BDM). How imprecise it is one can see lookeing at critical orbit inside a trap: it should be precisely on the straight line from critiical point to period parabolic 1 point. It is in the white triangle, not on the border. Why 4 triangles not 2 ? the result looks better, Julia set is invariant under point reflection through its center, it is said to possess central symmetry or to be centrally symmetric.
Date
Source Own work
Author Soul windsurfer
Other versions

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Captions

Parabolic chessboard for internal angle 1 over 3 with target set

Items portrayed in this file

depicts

19 March 2023

image/png

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current10:11, 19 March 2023Thumbnail for version as of 10:11, 19 March 20231,001 × 1,001 (19 KB)Soul windsurferUploaded own work with UploadWizard

Metadata