Constructing tiling with polygons 3, 6, 3, 6 starting with the monohedral tiling by equilateral triangles. Shaded regions are where the hexagons come from.
More from Chalkdust

Issue 22
DNA origami, tracks and an interview with El Nombre feature in our AW25 issue! Plus all your favourite puzzles & columns.
Prize crossnumber, Issue 21
Can you solve it?
The Newton–Raphson fractal
James Christian and George Jensen zoom in, out, in, out, and tell us what it's really all about
Complex numbers and algebra
Exploring the beauty of complex numbers, their origins and why they are important
Constructing a sphere with 455 cups
Paper cups do not follow a hexagonal pattern and the cones do not meet at a single point, but they do make a gigantic sphere
Spherical Dendrite by Mark J Stock
The story behind Issue 3's cover artwork
