Instructables gives step-by-step instructions on how to make a laser cut model from a 3D model using Autodesk 123D Make. Autodesk has discontinued 123D Make and transitioned the laser cut model making (2D parts for 3D objects) to Autodesk ReCap.
There are several options in ReCap for construction techniques:
You can scale the size of the model and location of the slices with the tools in ReCap. With the same size piece of cardboard, you can make a much bigger model using interlocked slices compared to stacked slices.
Also check out Hackaday Laser Cut Puzzle Box
Also check out Mr. Moss Pinterest Folder - Scroll Saw Laser Patterns for ideas
Design Challenge:
Web Post - Design your own post to journalize, present, and reflect on your design using this technique for 3D models from 2D parts. This technique - called Laser Object Modeling (LOM) - is a rapid prototyping technique that can produce a large shoebox-sized 3D model in less than one hour!