There's Garden Fennel (Foeniculum vulgare) and there's Florence Fennel (Foeniculum dulce)
BBC - Gardening - Plants - Plant Finder - Foeniculum vulgare 'Purpureum'

It hates being transplanted, else I would send you some - my bronze fennel has self-seeded all over the allotment. It's a b*gger to dig out... big long taproot.

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