220.127.116.11 is one of my favorite patterns as it’s quite unusual. It cannot fit on a classic triangle grid due to the squares; therefore this is a “distorted” approximation as the hexagons and the triangles have different side lengths, so there are rectangular twist-folds instead of square ones.
Paper: Use a regular hexagon, at least 20cm side to side, with a grid in 32nds. You can obtain nice results with semi-transparent papers such as tracing paper or glassine.
Editor's Note: Alessandro Beber is self-publishing Paperceptions: Explore visual perceptions with paperfolding! through a Kickstarter campaign that ends 17 May 2017.