TinyBox

>>It has a toggle parameter (second)
No. The toggle parameter is the 5th parameter. So intead of:

TINY.box.show('advanced.html',1,300,150,1,3);

you should be using:
TINY.box.show('advanced.html',1,300,150,0);

The 5th parameter controls the auto-hide.
I do set it to 0.
I am talking about the small rectangle with the animation at the beginning of the show.

The documentation on that page states:

The TINY.box.show function takes 6 parameters:

1. the HTML content for the box or the relative path to the AJAX source,

2. a toggle (true/false or 1/0) if the content is via AJAX,

3. the width of the window (use 0 for auto),

4.  the height of the window (use 0 for auto),

5. a toggle (true/false or 1/0) to animate the window,

6. and the time in seconds to wait before auto hiding the popup (optional).

The auto-hide is the the Last parameter (the 6th parameter). So the 5th parameter is what you want.

The funny thing is that if I set the 5th (second from last) parameter to zero,
It reates only the animation (small rectangle with 3 seconds animation) and does not open the HTML page.

Have you consider using an alternate plugin?
http://swip.codylindley.com/DOMWindowDemo.html

That particular plugin is limited to the 6 options stated above and if those don't meet your needs, then perhaps you need something more flexible.

I need something that can open an HTML page (like the TinyBox),  but can also display parameters that I send to it. I asked this question in a seperate post on TinyBox.
And that I can call other functions in the main page with the parameters that the user enters.
Can example 3 do that?

>>Can example 3 do that?
First of all, example 3 uses an iframe to import a remote url.  Tinybox cannot do this. Tinybox relies on files from the SAME domain. So on the example page, Example 2 basically does what Tinybox does.

>> but can also display parameters that I send to it
How are you doing this with Tinybox? The DOMwindow plugin creates an element with id=DOMWindow. So if you obtain a reference to that element, you can "insert/pass" content into that window.

What I see is that Demo2 also has an animation and also takes about 3 seconds.
So I don't gain anything from using it.
Only the "inline" demos open fast.

BTW: if you REALLY want the animation to not show up at all using Tinybox, then you can:
a. replace your preloader.gif image with a transparent image
OR
b. in your css change:
background:#fff url(preload.gif)

to:
background:#fff url()

and the animation will disappear.
TINY.box.show('advanced.html',1,300,150,1)

Thanks. Now I understand that I cannot make it work fast. I use it to show help content and because there is a lot of Help pages I cannot make it "online".