An above-average selection this week IMO.

Lyne,
There is a lot of stuff about Apo scripts at the following website
http://apophysis.wikispaces.com/Apo+Script+Reference+Manual

Once you have found a script you want, highlight the whole script and copy it using Ctrl+C
In Apophysis click on the menu Script, then click on the Edit option.  Then click on the New Script icon and in the window that appears right-click your mouse to paste the script into the editor.   Click on the Save icon to save your script in the Scripts folder - the file will have a .asc extension.   You can now Run the script by pressing the F9 key or by clicking on the Run icon

Sorry, can't help with a program but you might be interested in the following Wikipedia link giving info on the Klein bottle.

http://en.wikipedia.org/wiki/Klein_bottle

David

Same here.   No ebot notification for three comments on my last gallery posting.   Only found out that I had comments by checking manually

I also visited Lisa Hunt's 2D gallery.  The images there are all of excellent quality.  Re comments, I agree with Dina's analysis.

David

I am getting the security certificate message too     It happens when i try to log in using IE6 browser

David

an above-average selection this time I think 

How are we supposed to know what it is you regard as being 'unappealing', if you don't tell us explicitly? David

Yes, I agree fractals should be graphics :-) I write formula to output as text just to get a very rough idea of the general shape of the fractal.

David

Don't quite understand how your tangent example fits in with the z_n+1 = f(n, z_n) idea HG?

Here's a subprogram I wrote in BASIC to generate the classic Mandelbrot set z->z^2 + C

Private Sub Command1_Click()
Dim counter As Integer
Dim a As Double, b As Double, c As Double, d As Double
Rem z = a + ib
Dim creal As Double, cimag As Double
Rem c is the complex add-on point
a = 0: b = 0: c = 0: d = 0
Open "testmand.txt" For Output As #1
For cimag = -2 To 2 Step 0.005
DoEvents
For creal = -2 To 2 Step 0.005
a = 0: b = 0: c = 0: d = 0
counter = 0
While (Abs(a + b) < 4 And counter < 200)
c = a ^ 2 - b ^ 2 + creal
d = a * b * 2 + cimag
a = c: b = d
counter = counter + 1
Wend
If (Abs(a + b) < 4) Then
Print #1, "*";
Else
Print #1, " ";
End If
Next
Print #1, " "
Next
Close #1
End
End Sub

David

May I just add my halfpence worth of comment !? ;-) To me an artistic image is simply that, whether it be computer generated or hand-painted on canvas. As for fractals, I am a relative newcomer to the world. I started out about a year ago using a program called Tierazon later moving on to use the program Fractal Explorer, which I still use today.

When I first started I had absolutely no idea as to what would make a 'good' fractal image so I suppose all of my 'good' ones were arrived at by accident rather than by design. And that accidental aspect is still true today to some extent. However I am less likely today to create an image just for the sake of it. I now try to introduce themes and styles for my fractal works, and I like to think that I have some idea as to what I want to achieve before I start. In particular I try to create fractals with a 3D effect and ones which use geometry and areas of contrasting colour to form 'pictures' My recent and ongoing 'Chambers' series (Rosity Fractal Alternative gallery) is an example of the former.

David