8x8 Flippable Pixel Grid

Event
Convention 2021
This class is available online.
Local time
Saturday, June 26, 2021, 8:00 pm11:00 pm EDT
Room
Room Nine
Level
Supercomplex
Creator(s)
Jason Ku
Teacher(s)
Jason Ku

This is a super-complex color-change model of an 8x8 pixel grid, where each pixel can be flipped independently between two colors via a single diagonal fold. More efficient flippable 8x8 pixel grid models exist, e.g., from a 32x32 grid, but this model from a 34x34 grid benefits from having four-fold rotational symmetry, thus being easier to fold. For the sake of time, we will only be folding one quarter of the model from one quarter of a square during class. You can fold the full model by repeating the sequence four times with the aid of the recordings. This model has a scale factor of 4/17 (~23.5%), meaning that the side length of the 8x8 flippable grid will be 23.5% the side length of the starting square. As we will only be folding 1/4 of the model from 1/4 of the square, the size of the 4x4 grid we will produce will also end up at 23.5% of the starting square.

Supplies

Please use a large sheet of two-color paper. I will be folding the 1/4 model from 35cm (13.75 inches) two-color Kami for teaching, but the 1/4 model can be folded from 15cm (6 inch) Kami without much difficulty if folded precisely. While the images show a model folded from Japanese foil, I do not suggest foil for a first attempt as it is easy to rip the paper with foil.