Building a construction kit held together with only friction and topology is an excellent introductory activity for a novice mechanical designer.
I love Escher's drawings. I thought it would be fun to make a construction kit whose pieces are obviously architectural elements, but which has totally strange possibilities for angles, sides and "which way's up."
My chosen architectural elements: the bridge...
...and the cupola.
The cupolas come in two flavors: square and pentagonal. Both have "bridge ports" in each wall, where the tabs on the bridges fit and lock. The roof was going to be pointed, but then I thought it would be more fun to add one more bridge port to the roof for even wonkier arrangement possibilities.
My design was in SOLIDWORKS, with parametrically designed slots, so that the tightness of the pressfit could be dialed in on a few pieces but cause global reconfiguration.
Here's the process for turning SOLIDWORKS parts into laser cut pieces in the West Section, 2014:
Now is the time when you test the fit out on a few pieces, change your global variables accordingly, and try again until you like the way it feels.
I got tired of making these perfectly constrained tabs after a while, and I got lazy when it came to the roof joints--of course, they became the primary failure mode in larger structures made from these pieces.
Lots of fun with cardboard! An amazing and impressively strong material.