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艹 is the indexing grass radical in its 3-stroke compressed form (Kangxi #140).
著 originally named a milfoil plant whose stalks were used in divination. From 'a clearly displayed plant set out for divining' came 'visible, prominent, notable' (
显著), and from there 'to compose' (
著作). Same radical:
草,
花,
茶,
葬.