Introduction: DIN A: Dipyramid-to-Parallelepiped (and Beyond)!
Using our standard fold pattern, one knife cut, and two pieces of tape, we can bring a single sheet of DIN A paper to life!
Supplies
One sheet of DIN A paper, a straightedge and cutter, and two pieces of tape, are all that's needed. For a sturdier, more durable model, a heavy weight paper like the A5 used here which weighs in at 160 GSM, is recommended.
Step 1: Fold
The fold pattern requires a total of 12 creases. I like to start with three folds which divide the sheet in 4 equal parts along the long length of the sheet. Then I make the three folds that do the same along the short length. Next, I make the two diagonal folds, corner to corner. And last, I do the four diagonals, from center of side to center of adjacent side. See photos.
Step 2: Cut and Tape
To allow for our desired freedom of movement, a cut to the sheet must be made, and then tape is applied in such a way as to allow for the same degree of movement. See photos.
Step 3: Make It Move
Figures to be found include:
The Dipyramid, the Parallelepiped, as well as several transitional forms, let's call them hybrids of these two. See video.
Step 4: Bonus Video
Same concept applied to A4 sized sheets of refrigerator magnets.

Participated in the
Make it Move Challenge
4 Comments
Question 1 year ago on Introduction
What is A DIN paper? What does A5 paper measure? I've never used it. Thank You very interesting.
Answer 1 year ago
Thanks very much for your interest. This link will provide an extensive overview of DIN A paper sizes and much more. A5 itself measures 148 mm x 210 mm, and like all A and B series papers, it approximates the 1:√2 proportions required for these models.
Also, my previous Instructables, in particular https://www.instructables.com/Dipyramids-UnMasked/ talks at length about the 1:√2 geometry.
Reply 1 year ago
Wow: I've checked them out and it's quite mind boggling for me. I never heard of it and I don't know anybody else who's heard of it either. Will be quite useful. Thank You.
Answer 1 year ago
I guess the link attachment was not allowed. See more of my early work here for additional information on DIN A paper.