Rep-3-tiles: self-similarly trisectible figures. Here is a family of four based on balanced ternary complex radix number systems. Balanced ternary means the only digits are -1, 0, and 1. The radix is the complex number sqrt(b^2-3)-b,

where |b| = 0, 1/2, 1, and 3/2.

(c19)
block([plot_style:dragstyle],baltri(sqrt((0/2)^2-3)+0/2,2))$

(c2)
block([plot_style:dragstyle],baltri(sqrt((1/2)^2-3)+1/2,8))$

(c3)
block([plot_style:dragstyle],baltri(sqrt((2/2)^2-3)-2/2,8))$

(c14)
block([plot_style:dragstyle],baltri(sqrt((3/2)^2-3)+3/2,4))$

(c7)
block([plot_style:dragstyle],baltri(sqrt((3/2)^2-3)+3/2,8))$