A continuum of frac-3-tiles. Each third of this one is the overall figure reduced by sqrt 3 and flipped vertically.

(c21)
block([plot_style:dragstyle],flap3(8,.0005))$

picture

Each third of this one is the overall figure reduced by sqrt3 and flipped horizontally. These similarities are preserved under continuous vertical or horizontal stretching.

picture

(c20)
flap3(4,.001)$

picture