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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