File:Academ How to scale a given regular dodecagon by using only a straightedge.svg

Original file(SVG file, nominally 750 × 750 pixels, file size: 2 KB)

Captions

Captions

Add a one-line explanation of what this file represents

Summary edit

Description
English: Given a convex regular dodecagon, we can extend its sides to construct another regular dodecagon.  For example, imagine there is only one polygon in the figure:  the convex dodecagon with a blue surface.  From this given dodecagon, we can construct the blue segments, by extending all the sides of the initial dodecagon.  These blue segments are the sides of a stellated regular dodecagon, called a stellation of the initial dodecagon.  This star shares its vertices with a new convex dodecagon, the surface of which is white.  By iterating the construction, we can produce an infinite number of regular dodecagons, which are alternatively convex and stellated.
Date
Source Own work
Author Baelde
Other versions Academ Iterated stellation of convex regular dodecagon.svg
SVG development
InfoField
 
The SVG code is valid.
 
This /Baelde was created with a text editor.

Licensing edit

I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported 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.
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
You may select the license of your choice.

File history

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

Date/TimeThumbnailDimensionsUserComment
current11:06, 13 July 2012Thumbnail for version as of 11:06, 13 July 2012750 × 750 (2 KB)Baelde (talk | contribs) adding a few convex regular polygons 
17:20, 29 June 2012Thumbnail for version as of 17:20, 29 June 2012625 × 625 (1 KB)Baelde (talk | contribs){{Information |Description ={{en|1=Given a convex regular dodecagon, we can extend its sides to construct another regular dodecagon.  For example, imagine there is only one polygon in the figure:  the convex dodecagon with a blue surfa...

There are no pages that use this file.