It turns out there are many ways for a series of arrows to follow a loop… in Sunday sketch #80, the loop was kinda circular, and in #81, it was kinda square. Here’s another square-shaped block based on the same concept.
Instead of a closed octagon as the centre shape, it’s an open (that is, not fully enclosed) square. Putting the blocks together without sashing would give you offset squares at the corners, and some almost-kite shapes (paired to look like little bow-ties) along the edges.
This design could be made using half-square triangles and a few squares and rectangles.