In the fractal deep,
Cantor's whispers softly seep,
Patterns infinite
- UpliftZen / GPT4.

I asked GPT4 for a fun emoji set for cantor set fractals, i got something WAY cooler.

Creating a visual representation of the Cantor set using emojis can be quite fun and engaging! Here's an example using two different emojis: 🔵 to represent the set and ⬜ to represent the spaces:

1: 🔵🔵🔵🔵🔵🔵🔵🔵🔵
2: 🔵🔵🔵⬜⬜⬜🔵🔵🔵
3: 🔵🔵⬜⬜⬜⬜⬜🔵🔵🔵⬜⬜⬜⬜⬜🔵🔵🔵
4: 🔵⬜⬜⬜⬜⬜🔵⬜⬜⬜⬜⬜🔵⬜⬜⬜⬜⬜🔵⬜⬜⬜⬜⬜🔵⬜⬜⬜⬜⬜🔵⬜⬜⬜⬜⬜🔵⬜⬜⬜⬜⬜🔵 ...

The Cantor set is a fractal created by repeatedly removing the middle third of a line segment. This emoji representation visually depicts the concept: the 🔵 emoji represents the parts of the set that are present, and the ⬜ emoji represents the parts that are removed at each step. Each line represents an iteration of the process, starting with a full set and then removing segments in each subsequent line.
Remember, the Cantor set is an infinite process and in its final form it will contain an uncountable number of points, but no interval of non-zero length.