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The SQLite documentation has a wonderfully titled section "Outlandish Recursive Query Examples" [1], which includes computation of a Mandelbrot Set.

And the code from the OP picture is on the PostgreSQL Wiki since 2009:

"This SQL query (requires PostgreSQL 8.4) produces an ASCII-art image of the Mandelbrot set. It is written entirely in SQL:2008-conformant SQL."

I like the one solving a sudoku puzzle, too. Impressive!