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Geometric exercises in paper folding (1917)
- wiz21c 4y agoPuzzle: !!!IIRC!!! it is possible to fold a rectangular sheet of paper into three equal rectangles.
- parentheses 4y agoIIUC this is easy.
- Arrath 4y agoAm I crazy or is this the typical 'stuff it into an envelope' fold?
- JKCalhoun 4y agoIterate? That is, make 1st fold so the edge looks like it is covering 50% of the remaining part of the rectangle. Then try to fold the remaining part in half and see if you were correct. Not correct? Adjust one way or the other the original fold until you get thirds. (EDIT: Seems it can be done with some precision if you start with a square — easy enough to get a square from a rectangle. I did the trig though and the technique I saw was within a half-percent of thirds but not exact.)
- Ambroisie 4y agoYou could just create an angle in the middle of the edge of the rectangle, so that each line of the angle goes to a corner on the opposite side. Then use the trisection folds to divide that opposite side in three equally sized parts, and fold it up.
- IHLayman 4y agoIt is also possible to trisect an angle using paper folding too: https://plus.maths.org/content/trisecting-angle-origami https://plus.maths.org/content/trisecting-angle-origami Paper folding is incredibly powerful.
- sergius 4y agoThis book looks interesting: https://en.wikipedia.org/wiki/Origamics https://en.wikipedia.org/wiki/Origamics