I doubt you could ever get four triangles from six matchsticks on a flat surface, but the Mess-Around approach might free up the thinking so that the third dimension comes to mind. To tell you the truth, that tingle of excitement when it dawned on me that I could move into space was the real pay-off. After that it’s sort of easy, isn’t it. I think the pleasure of realizing something, anything, is what motivates us all to get up out of bed in the morning. “I wonder what exciting is going to happen today,” as Pooh’s little friend Piglet put it. What do you think about that?
If you can think of any other solutions to this puzzle, I’ll post them for you with pleasure.
If you like messing around with these puzzles, let me know and I’ll add some more.