## 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.

organicorigami.com

TEDxPhoenix 2010 Goran Konjevod – Organic Origami

There are two video tutorials available made by Robin Scholz.

a basic pleat tessellation

a basic pleat tessellation shape

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.

The pyramid shape is made with pleats folded in mirrored directions.

The technic seems deliciously simple at first, but needs to be well planned if you want to make a bigger more complicated shape.

## Square pleated tessellations

Let’s make an example object. I Want to make a pleated tessellation with four squares.

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.

2-4-8-16-32-46-92 or

3-6-12-24-48-96

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.