Origami Dissection Puzzles
By a dissection puzzle, I mean the kind of puzzle where you have several polyhedra, and you have to fit them together to make another. There are lots of simple examples, and then more difficult puzzles. For now I only have simple puzzles; but although they are simple they are still fascinating.
How they fit together
Note, it's not too hard to do a little reversing and rearranging of some of the folds (making no additional creases) so that only one side of each sheet of paper shows, so you can make a model of a single colour even if your paper is white on one side, coloured on the other.
cube with two pyramids sliced off
Note, this ends up looking like a kind of box; there are various methods to make it more "solid"; one possibility is simply to make another of the pyramids, and turn it upside down and place it in the triangular openning of this "box".
Note, this box is influenced by Fuse designs - it's not the same as any of her boxes in the books I have by her; I appologise if it is the same as some other by Fuse. Anyway, I recommend Fuse origami books - she has a lovely collection of modular boxes, much more elegantly constructed than this one.
I am working on making a better octahedron, but one possibility, which fits into the scheme here (sizewise), is to take a piece root two times as large as the other pieces of paper, and use it to make an octahedron via the "tetra-unit". The Tetraunit is much more versitile than the unit used for the tetrahedron above; however, the above unit uses far fewer folds, so is faster to make, and also has larger volume for the same size paper. Anyway, if you want to make an octahedron to fit with four of the tetrahedra on this page, take paper with ratios like this:
This above means the small size is obtained from the large size by removing the corners.
An alternative method is to use squares from A5 paper for the models on this page, and from A4 paper for the tetraunit models:
How the pieces fit together
Take four of the pyramids, and one of the tetrahedra, and put them all into the box. (all the pieces of paper used are the same size, so needs 10 squares of paper, all the same size.)
Take four tetrahedra, and put them into one tetrahedra made from a peice of paper twice the size, together with an octahedron.
Take two pyramids, and the shape I call "cube with pyramids
sliced off", and fit them all into
the cube. (All pieces of paper the same size.)
This page transfered to http://make-origami.com/HelenaVerrill/home.php in May, 2015.