Autodesk 123D Make: http://www.123dapp.com/make
Autodesk 3ds Max (alternately you can use a free software like meshmixer)
p.s. I built it at TechShop!
Step 1: Secure a 3D model
You can also 3D scan a souvenir statue.
Step 2: Prepare Model in 3DS Max
Use the slice tool to remove the bottom of the statue. You can angle the slice plane to get the leaning effect as seen in the movie.
Use the boolean tool to add tubes throughout the model. These tubes will serve as channels to add PVC support rods. They will also add additional alignment points during assembly.
Export the model as a .stl file.
Step 3: Process with 123D Make
Choose the "stack method".
Change the manufacture settings to match the size of your laser bed and the thickness of your material.
Adjust the scale of your model to the desired size. (*note* the size of your support holes will also scale, so be sure to adjust them accordingly in the original model)
Rotate the slice plane a little bit. This will help bring out more of the fine details.
Step 4: Cut the Material
Import the plans into your laser cutter interface (like adobe illustrator or corelDRAW).
Step 5: Assemble
Start assembling using the provided alignment marks, as well as the support rod holes you created.
It's best to assemble in a few large sections, then assemble those sections at the end.