An intriguing fractal shape, build from Lego. This guide is in response to the comments I've received from the original posting on my Lego Menger Sponge page.
Step 1: First Layer
You will need to underpin this layer with flat bricks, to ensure it holds itself together.
Step 2: Second Layer
Note the rotational symmetry of the pieces.
Step 3: Third Layer
Step 4: Fourth Step
This is the easiest bit, since the towers are all identical.
Step 5: The Fifth Layer
The top part of the sponge has an identical pattern to the bottom three layers. However, because it must stretch across the gaps, different pieces are often used. Note the 1x8 pieces.
Step 6: Penultimate Step
Step 7: Final Step
You can the video of how this look in 3D: