Menorahs with cage-like legs:
12th century France:
Squared-off legs in microwriting (f104r at the bottom):
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Bible of Cervera, c. 1300:
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From the Nahum Bible, c. 1300:
14th century French and somewhat organic in shape:
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Codex Levy 19 at the Hamburg Library has some stunning imagery and a cage-bottom menorah (this is a PDF link):
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Late-13th century Germany (Harley MS 5710), with a squared base: