I decided to make a generic press-fit kit that could be used to make a variety of items, and not to try to build a kit for a specific item in particular. The major components of my kit included a 2"X2" square base piece, a 2" on each side equilateral triangle piece, circular connector pieces, small 1" long rectangular connectors, and corner connectors.

Some of the items which I could make with this kit includes boxes (which can be used as dice) and a circular globe.

Press-fit components
A mini chair!