![]() ![]() Note that the twist direction had to be changed on the second molecule, to allow continuity. Again, if we can tape two, why can't we start with two connected squares, in other words a rectangle of 1×2 proportions? Do all folds on both squares, and collapse. Now collapse both of them to get your first 1×2 molecules tessellation. The pattern on all four sides is the same hence you can put two molecules one by the other, unfold the common edges and tape them together. If you can spread the folded molecules to their original flat state, align them and put a cellotape to hold them together, and then collapse the combined units, why cut the paper in the first place? Now start with a 1×2 rectangle of a paper, crease all needed creases on both squares, and collapse without the need for a cellotape.įor a better example, take the basic twist fold (the base of Kawasaki Rose). A trick for checking whether they can be tessellated is to glue-tape the edges together. Moving to real molecules, let's start with only two square molecules. ![]() We can spread this molecule to all 4 directions, endlessly. All the original edges of the paper are on the edge of this molecule, and all four sides are identical. To understand this concept let's take a look at the simplest fold - an unfolded square paper. If this happens, you can tessellate this fold. Can I make sure all the original edges of the paper will stay on the edges of the folded molecule?.Can I make a fold that has all of its sides (or, at least, every two opposite sides) to be totally the same?.I try to find an interesting molecule that follows two very simple rules: A molecule is one unit of the tessellation: the repetitive part. When I try to create a new classic tessellation, I follow the Way of the Molecule. Each step has some basic know-how and many tips, but before elaborating on that, we have to discuss the single molecule - the core of the model. Tessellations are usually folded in three steps only: Grid, Precrease (all other folds than the grid) and collapse. This video shows further classic tessellations: Creating a Tessellation High density tiling of the "Hydrangea" by Shuzo Fujimoto, folded by Sara Adams, Rainbow Kraft paper More examples "Windows" Tessellation designed and folded by Ilan Garibi, Elephant Hide For example, you may want to use a classic tessellation to form a border for a recursive central piece (left), or use a recursive tessellation as a molecule for a classic tessellation (right). Of course, you can combine several types of tessellations in one project. Last in my list is the group of folds that are simply done this way: one row folded back and two rows are folded forth. "Wave" Tessellation designed and folded by Ilan Garibi, Elephant Hide A classic recursive model is the Hydrangea by Fujimoto. The concept here is to make the same fold in a smaller scale on one square in a repetitive manner. "Hydrangea" designed by Shuzo Fujimoto, folded by Sara Adams, Dreamy paper ![]() There is no point in using backlighting on this type. The entire original surface of the paper is visible to the eye, and the pattern is usually in the form of waves. This type of tessellation has no triple or more layers. "Diamond Corrugation" Tessellation designed and folded by Ilan Garibi, 40gsm Kraft paperīorrowed from the English dictionary, a corrugation is: a wrinkle fold furrow ridge. ![]() For that reason one tessellation can give you four models: first side, the other side, and both sides backlit. One layer is a bit transparent while three layers and more are dark. This change of number of layers gives the most amazing effect when you backlight your model. This is because whenever the paper is first folded this way, it must be folded the other way, too, to allow continuity. By nature, the surface of the final model will have an odd number of layers (one, three, five, or even more) throughout. It is made of Molecules that can be spread in all four (or six) directions, covering a continuous surface. It's based on two major grid types - the Hexagon and the Square. Since Fujimoto, a Japanese origami master who published books that included origami tessellations in the 1960s till nowadays, this is the most common type. "Red Flower" Tessellation designed and folded by Ilan Garibi, Tant I like to divide the tessellation world into 4 categories: I am not familiar with any formal definition, even Wikipedia leaves this term unexplored. Here is my humble addition to this field.įirst, let's define the types of tessellations. There are Corrugations, Molecules, Curved Tessellations, and so many other subcategories. Definitions, which, by definition, try to draw definite border lines, can only do injustice to this field. Tessellations are the new trend in the origami world. ![]()
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