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Around the 10th century, Muslims in Persia were the first to cultivate the tulip. Prior to that, there had been wild tulips but no mention of tulips in gardens.
Muslims were not the first to cultivate carnations.
Wikipedia says carnations were mentioned by the 4th century BC Greek botanist Theophrastus, and the flowers were used in Greek ceremonial crowns
Muslims did not invent flower gardens. Actually, flower gardens existed in 7th century BC Assyria, in 6th century BC Persia, and perhaps in 2200 BC in Egypt.
Image by John O’Neill, via Wikimedia Commons.
Image credit https://commons.wikimedia.org/wiki/File:Tulip_-_floriade_canberra.jpg#mw-jump-to-license