Mosely snowflake
The Mosely snowflake is a Sierpiński–Menger type of fractal obtained in two variants either by the operation opposite to creating the Sierpiński-Menger snowflake or Cantor dust i.e. not by leaving but by removing eight of the smaller 1/3-scaled corner cubes and the central one from each cube left from the previous recursion or by removing only corner cubes.
In one dimension this operation is trivial and converges only to single point.
It resembles the original water snowflake of snow. By the construction the Hausdorff dimension of the lighter snowflake is
and the heavier
