1WITH RECURSIVE
2  xaxis(x) AS (VALUES(-2.0) UNION ALL SELECT x+0.05 FROM xaxis WHERE x<1.2),
3  yaxis(y) AS (VALUES(-1.0) UNION ALL SELECT y+0.1 FROM yaxis WHERE y<1.0),
4  m(iter, cx, cy, x, y) AS (
5    SELECT 0, x, y, 0.0, 0.0 FROM xaxis, yaxis
6    UNION ALL
7    SELECT iter+1, cx, cy, x*x-y*y + cx, 2.0*x*y + cy FROM m
8     WHERE (x*x + y*y) < 4.0 AND iter<28
9  ),
10  m2(iter, cx, cy) AS (
11    SELECT max(iter), cx, cy FROM m GROUP BY cx, cy
12  ),
13  a(t) AS (
14    SELECT group_concat( substr(' .+*#', 1+min(iter/7,4), 1), '')
15    FROM m2 GROUP BY cy
16  )
17SELECT group_concat(rtrim(t),x'0a') as Mandelbrot FROM a;
18