Kite and dart from a square - revisited
Here's the link to the first part... https://hedraweb.wordpress.com/2018/02/06/not-so-square/ I have found more (subtle) combinations of how a kite and dart from a square can be assembled. Tilings will usually include a mix of square blocks, rows/columns of squares and ever expanding 60° areas, emanating from a single point which I describe as 'V' type tilings. So, with that in mind here's some bare bones examples, A line of darts touching darts head to toe produce zig-zags, creating offsets (rivers). Same with kites. Left, an interesting arrangement where 'V' type tilings don't quite touch each other at the centre. Right, an attractive 4-fold symmetry. Two kites can be put together with another type of dart that produces equilateral triangles and in turn, regular hexagons. Not surprisingly, combining both types of darts and kites make up a regular dodecagon.