Mandelbrot - Quarry

SQL

WITH RECURSIVE   xaxis(x) AS (VALUES(cast(-2.0 as double)) UNION ALL SELECT x+0.05 FROM xaxis WHERE x<1.2),   yaxis(y) AS (VALUES(cast(-1.0 as double)) UNION ALL SELECT y+0.1 FROM yaxis WHERE y<1.0),   m(iter, cx, cy, x, y) AS (     SELECT 0, x, y, cast(0.0 as double), cast(0.0 as double)
FROM xaxis, yaxis     UNION ALL     SELECT iter+1, cx, cy, x*x-y*y + cx, 2.0*x*y + cy FROM m       WHERE (x*x + y*y) < 4.0 AND iter<38   ),   m2(iter, cx, cy) AS (     SELECT max(iter), cx, cy FROM m GROUP BY cx, cy   ),   a(t) AS (     SELECT group_concat( substr(' ░▒▓█', 1+least(floor(iter/7.0),4), 1) ORDER BY cx SEPARATOR '')      FROM m2 GROUP BY cy   ) SELECT replace( t, ' ', x'e28087e28087' ) 'Mandelbrot' FROM a;
SQL

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