File:Peano-curve animated (140x120).gif
Peano-curve_animated_(140x120).gif (140 × 120 pixels, file size: 35 KB, MIME type: image/gif, looped, 1,002 frames, 1 min 42 s)
Captions
Captions
DescriptionPeano-curve animated (140x120).gif |
English: A peano curve. It continuously maps the interval [0,1] onto the square [0,1]×[0,1] as the parameter rises from 0 to 1. |
|||
Date | ||||
Source | own program, description below | |||
Author | self | |||
Permission (Reusing this file) |
|
Construction
[edit]The square on the right consists of two triangles, one at the lower left and one at the upper right. The description is for the lower left triangle
For a point in the image of
, i.e. in the lower left triangle, we construct its preimage
using the notation
Starting with
we set
We then get . Given
in [0,½], all pixels with
are colored in scarlet and all pixels with
are colored in white.
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 12:33, 20 October 2013 | ![]() | 140 × 120 (35 KB) | McZusatz (talk | contribs) | Gimp: open, save. (uploaded using chunked upload script) |
08:20, 23 March 2008 | ![]() | 140 × 120 (45 KB) | Georg-Johann (talk | contribs) | {{Information |Description=A peano curve that maps [0,1] to the square [0,1]×[0,1] as the parameter rises from 0 to 1. |Source=own program |Date=2008-03-23 |Author=self |Permission={{PD-self}} |other_versions= }} |
You cannot overwrite this file.
File usage on Commons
The following page uses this file:
File usage on other wikis
The following other wikis use this file:
- Usage on de.wikipedia.org
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
GIF file comment | Created with GIMP |
---|