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Mandelbrot
WITH RECURSIVE q(r, i, rx, ix, g) AS ( SELECT r::DOUBLE PRECISION * 0.02, i::DOUBLE PRECISION * 0.02, .0::DOUBLE PRECISION , .0::DOUBLE PRECISION, 0 FROM generate_series(-60, 20) r, generate_series(-50, 50) i UNION ALL SELECT r, i, CASE WHEN abs(rx * rx + ix * ix) <= 2 THEN rx * rx - ix * ix END + r, CASE WHEN abs(rx * rx + ix * ix) <= 2 THEN 2 * rx * ix END + i, g + 1 FROM q WHERE rx IS NOT NULL AND g < 99 ) SELECT array_to_string(array_agg(s ORDER BY r), '') FROM ( SELECT i, r, substring(' .:-=+*#%@', max(g) / 10 + 1, 1) s FROM q GROUP BY i, r ) q GROUP BY i ORDER BY i
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