Inverted Sierpinski Carpet in Sketchup

The interesting thing about Sierpinski Carpet is that its area technically equals 0...
Does it mean, that cumulative area of its holes equals the area of whole carpet within its boundaries or what?...
And it is actually not the only mystical mind-bending property of this purely theoretical shape. The other thing (I bet you will enjoy it too) is that, as crazy as it sounds, the Sierpinski Carpet is supposed to have a fractional dimension of 1.89. Yes it doesn't occupy two dimensions. Or one... It manages to exist in fractional dimensions.
Anyway here is a little tutorial, which shows how to draw 3, 4, 5 iterations of 'inverted' Sierpinski Carpet in Sketchup. The term 'inverted' means that its holes are processed instead of its 'non-hole' part.
Enjoy...

First Version of 'Make Recursive...' Tool Complete!

I'm proud to announce, that this 'brain damaging' (for implementation) tool is ready. So now it's time to get back to adaptation of old tools ('Blend', 'Points to Mesh', 'Control Points', 'Geometrically Smoothed Curve', 'Stick Groups to Mesh').
The above video shows how to use 'Make Recursive...' tool and gives some theoretical explanations about how it works.
Here is a link to download this stage of 'LSS Toolbar': lss_toolbar_2_0_pre_alpha_1.zip
This is 'pre-alpha' version (use it on your own risk).