Fractal Imaginary Cubes

Each of these three solids displays the same overall structure at every scale. Shapes with this self‑similar property are called fractals.
(A more detailed explanation of fractals appears in the section on the Sierpinski Tetrahedron.)
Because these objects are also Imaginary Cubes, there are viewing directions from which they appear as perfect squares. Of course, their silhouettes from other angles are beautiful as well.

The solid on the left is the Sierpinski Tetrahedron, derived from a regular tetrahedron. The other two are fractal versions of the puzzle pieces H and T. Let’s take a closer look at each of these fractals.