Sorry! Yes, that was a typo. Thanks for catching it!

[Deadstar]

Write down an IFS converging to the subset S of the unit square illustrated below.

[PLAIN]http://img707.imageshack.us/img707/2876/unledwcq.png

I have two ways I see this though.

First way is as a collection of crossed diagonal lines where at each iteration 5 new crosses are made.

2nd way is as a knots and crosses grid where at each iteration 5 new knots and crosses grids are created in the corners and centre of the old one (with the old one being deleted, although I think that's standard in IFS depending on the fractal...)

Which one, if any is correct?(also, I have this IFS software which I have just this minute figured out how it works so I'm testing a few things...)

 

[Deadstar]

Ok after a bit of playing around I get...

z/3,
z/3 + 2/3,
z/3 + 1/3 + i/3,
z/3 + 2i/3,
z/3 + 2i/3 + 2i/3

I think I've finally got the hang of this... It's more a shrinking of boxes than a drawing of lines...

 

[micromass]

Ok after a bit of playing around I get...

z/3,
z/3 + 2/3,
z/3 + 1/3 + i/3,
z/3 + 2i/3,
z/3 + 2i/3 + 2i/3

Sounds good, but you probably made a typo in the last equation, it should be z/3+2/3+2i/3