I have recently returned to designing and folding origami
I am particularly interested in sequences of tessellation folds.
The starting point might be a variation on the tradtional square twist tato purse type fold, or the traditional origami pinwheel, which were developed by
into tessellations. Then I like to find a way to build up to an
infinite sequence of folds.
Origami wrapping paper bow sequence (February 2019)
Origami square on cross sequence (March 2019)
folded from 15cm square origami tant paper. This sequence can
be continued, as explained in the description of the crease pattern.
click on image for crease pattern/description
Origami Herring bone developments (April 2019)
This was inspired by attending the BOS convention, April 2019.
This is not so much a sequence, more origami's on a related theme. The first was something I brought to show, and the rest constructed afterwards.
This is a very elementary tessellation, but for completeness I felt I had to make a though investigation of variations on this simple theme. Some folded examples are here,
and the paper you can download by clicking on the last image in the row has diagrams of up to 100 cases. Actually there are some repeats, so not quite 100, but quite a lot!
More Brick wall variations (June 2019)
Another variation of the brick wall. This time, I don't change the direction of creases, (except in one, which I couldn't resist; necessary for flat folding), but rather changed size of the rectangular bricks.
Click last image for a description
Pinwheel variations (June 2019)
Cube variations (following after Ilan Garibi and others) (July 2019)
Polyhedra unit (August 2019)
This is not a tessellation, and it was designed quite a long time ago. But it's useful for displaying
flat tessellations which reduce area to 1/4 - there are quite a lot of these, especially those based on square twist or
pinwheel. They slip into the square faces, which are like frames.
Also, I wrote these up recently for the MOVES conference at MOMATH in New York in August.