Tom Lindquist
I have been interested in both math and origami from a young age, and
recently I have been interested in the world of origami tessellations.
These tessellations are mathematically interesting, allowing for many
different types of tiling and symmetry, as well as technically
interesting to design and fold, and the final product is visually
pleasing. I have been especially fond of tessellations with a
three-dimensional aspect to them, although I also enjoy a technique
known as "flagstone tessellation" which creates a flat tiling of
polygons, generally hexagons, triangles, rhombi and trapezoids.
I chose this set of three tessellations because I think it does a
good job of showcasing the wide range of possibilities for origami
tessellations. Although they are unified by the triangular grid
from which they are all folded, they all have different symmetry
groups, from the simple rectangular p1 wallpaper group (blue), to
the more complex p6 (brown) and p6m (white) symmetries. Also on
display are multiple levels of three-dimensionality, with one
being a flat tiling of the plane (white) and the others having
ribbons of paper that do not lie flat. Lastly, on a purely
aesthetic level, they are distinguished by the different colors,
textures, and thicknesses of the papers used.