What are pleated tessellations
Pleated tessellations are made with pleats that are overlapping. They have a two to one dimension difference. The horizontal and vertical creases will be folded flat in alternating order.
This technic was developed by Goran Konjevod.
There are two video tutorials available made by Robin Scholz.
a basic pleat tessellation
It is possible to distinguish three different type of shapes that can be made with pleated tessellations, a curved triangle, a rotated square and a pyramid with a flat top.
Square pleated tessellations
The back side of this these shapes have more equal edges and are therefore going to be used as the front of the final object.
If I lay two test objects next to each other, I get: an edge – 7 pleats – a middle pleat – 7 pleats – an edge. These are 16 creases all together. Now how do I start, with the paper divided into two or tree.
You can see that starting with a division of two will give me 16 pleats. The paper is a 35 cm square. Is this big enough? The initial crease distance will be 35 divided by 16 this is 2.1875 cm. The smallest pleat will be a third part of this, 0.73 cm. Yes, I do think it is possible to fold this.
The location must be determined for the first folded pleats. You do this by dividing two edges in 4-8-4 pleat and then find their intersection.
After folding the shape is turned around and the edges are folded backwards, I glued them to get a good finish.