Talk:Sierpiński triangle
About the Pascal's triangle you are not wrong, but the complete "triange" looks like:
. . . . . . . . . . . .
. . . . . . . . . . . .
. . . . . . . . . . . .
0 0 0 0 0 0 1
. . 0 0 0 0 0 0 1 -5 15 -35
0 0 0 0 0 1 -4 10 -20 35 -56 84
. . 0 0 0 0 0 1 -3 6 -10 15 -21 28 -36 45 -55 . . .
0 0 0 0 1 -2 3 -4 5 -6 7 -8 9 -10
. . 0 0 0 0 1 -1 1 -1 1 -1 1 -1 1 -1 1 . . .
0 0 0 1 0 0 0 0 0 0 0 0 0 0
. . 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 . . .
0 0 1 2 1 0 0 0 0 0 0 0 0 0
. . 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 . . .
0 1 4 6 4 1 0 0 0 0 0 0 0 0
. . 0 1 5 10 10 5 1 0 0 0 0 0 0 0 0 . . .
1 6 15 20 15 6 1 0 0 0 0 0 0 0
. . 1 7 21 35 35 21 7 1 0 0 0 0 0 0 0 . . .
usw.
So you don't get:
#
# #
# #
# # # #
# #
# # # #
# # # #
# # # # # # # #
# #
# # # #
.
.
.
More you get like this:
.
.
.
# # # # # # # #
# # # #
# # # # # # # #
# # # # # # # #
# # # # # # # # # # # # # # # #. . . . .
1
1 1
1 2 1
1 3 3 1
# #
# # # #
# # # #
# # # # # # # #
. .
. .
. .
--217.233.252.114 10:58, 19 Mar 2004 (UTC)
3D Sierpinskis
Take a look at Sv:Sierpinskitriangel. There you can find my 3D versions of the triangle. I have created the tool used to render the images. It is based on a three dimensional iterated function system. My technology to get the shadows there is probably new to the fractal scene. Please feel free to copy the images to here if you like. // Solkoll 01:29, 31 Jan 2005 (UTC)
Programcode to draw Sierpinski Triangles
Would it not be appropriate to include some (recursive) programcode (e.g. a Java Applet) to draw Sierpinski Triangles? I have done so in the corresponding articles in the german and french language wikipedia. — Nol Aders 13:28, 24 November 2005 (UTC)