Created
December 31, 2014 13:48
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Sierpinski's Gasket
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module Sierpinski where | |
import Data.List | |
sierpinski :: Integral a => a -> String | |
sierpinski = intercalate "\n" . listSierpinski | |
listSierpinski :: Integral a => a -> [String] | |
listSierpinski 0 = ["L"] | |
listSierpinski n = listSierpinski (n-1) ++ duplicate (listSierpinski (n-1)) | |
duplicate :: [String] -> [String] | |
duplicate [s] = [s ++ " " ++ s] | |
duplicate ss@(s:ss') = [pad l s ++ " " ++ s] ++ duplicate ss' | |
where l = maximum . map length $ ss | |
pad :: Int -> String -> String | |
pad n s | length s < n = s ++ replicate (n - length s) ' ' | |
| otherwise = s | |
-- putStrLn $ sierpinski 5 | |
-- L | |
-- L L | |
-- L L | |
-- L L L L | |
-- L L | |
-- L L L L | |
-- L L L L | |
-- L L L L L L L L | |
-- L L | |
-- L L L L | |
-- L L L L | |
-- L L L L L L L L | |
-- L L L L | |
-- L L L L L L L L | |
-- L L L L L L L L | |
-- L L L L L L L L L L L L L L L L | |
-- L L | |
-- L L L L | |
-- L L L L | |
-- L L L L L L L L | |
-- L L L L | |
-- L L L L L L L L | |
-- L L L L L L L L | |
-- L L L L L L L L L L L L L L L L | |
-- L L L L | |
-- L L L L L L L L | |
-- L L L L L L L L | |
-- L L L L L L L L L L L L L L L L | |
-- L L L L L L L L | |
-- L L L L L L L L L L L L L L L L | |
-- L L L L L L L L L L L L L L L L | |
-- L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L |
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