Cantor
The Cantor set is a subset of the real line obtained by starting with a line segment, and iteratively removing the middle section of the segment and of all the segments subsequently produced, resulting in a fractal structure. Topologically, it is a closed set with no isolated point, which is yet nowhere dense.
The following picture depicts the first few construction stages (top third). Below, similar constructions removing two and three segments at each stages instead of one.
A similar picture widening the lines so that they touch, resulting in fractal bridges...
Similar pictures where the line width is rescaled at each iteration.
Dall-e
Dall-e's interpretation of a Cantor set.
