File:Sierpinski triangle.svg

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Original file (SVG file, nominally 1,024 × 887 pixels, file size: 3 KB)

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Summary

The SVG code is valid.

This plot was created with Matplotlib.

Source code

Python code

from __future__ import division
import matplotlib.pyplot as plt
plt.figure()
plt.subplot(1,1,1)
plt.axis('off')

def drawBlue(p1,p2,p3):
  plt.fill([p1[0],p2[0],p3[0]],[p1[1],p2[1],p3[1]],facecolor='b',edgecolor='none')

def drawWhite(p1,p2,p3):
   plt.fill([p1[0],p2[0],p3[0]],[p1[1],p2[1],p3[1]],facecolor='w',edgecolor='none')

def midpoint(p1,p2):
  return ((p1[0]+p2[0])/2,(p1[1]+p2[1])/2)
def sierpinski(p1,p2,p3,repeat):
  drawWhite(midpoint(p1,p2),midpoint(p2,p3),midpoint(p3,p1))
  if (repeat <= 8):
    sierpinski(p1,midpoint(p1,p2),midpoint(p1,p3),repeat+1)
    sierpinski(p2,midpoint(p1,p2),midpoint(p2,p3),repeat+1)
    sierpinski(p3,midpoint(p1,p3),midpoint(p2,p3),repeat+1)

drawBlue((0,0),(7,0),(3.5,6.0621778265))

sierpinski((0,0),(7,0),(3.5,6.0621778265),0)

plt.show()

Licensing

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.

Original upload log

The original description page was here. All following user names refer to en.wikipedia.

Transferred to Commons.

Upload date	User	Bytes	Dimensions	Comment
2007-10-21 06:40:53	Marco Polo	2976	1774×1536	typo
2007-10-21 06:39:47	Marco Polo	2976	1774×1536	Recursive algorithm for generation

File history

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

	Date/Time	Dimensions	User	Comment
current	01:12, 4 March 2013	1,024 × 887 (3 KB)	Perhelion	rev: unnecessary excessive code, used original code
	10:23, 2 August 2012	720 × 540 (3.61 MB)	Renamed user 5zaev7b64wx8mg6ty	remove axes
	15:51, 1 August 2012	720 × 540 (4.35 MB)	Renamed user 5zaev7b64wx8mg6ty	Fully remade image
	07:12, 8 June 2012	1,774 × 1,536 (3 KB)	OgreBot	(BOT): Reverting to most recent version before archival
	07:12, 8 June 2012	1,774 × 1,536 (3 KB)	OgreBot	(BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2007-10-21 06:40:53 by Marco Polo
	07:12, 8 June 2012	1,774 × 1,536 (3 KB)	OgreBot	(BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2007-10-21 06:39:47 by Marco Polo
	08:35, 30 December 2009	1,774 × 1,536 (3 KB)	Tgr	{{BotMoveToCommons\|en.wikipedia\|year={{subst:CURRENTYEAR}}\|month={{subst:CURRENTMONTHNAME}}\|day={{subst:CURRENTDAY}}}} == Summary == Recursive algorithm for generation == Licensing == {{PD-self\|date = October 2007}} == Original upload history == This fi