'bi-hued' is formed from the prefix 'bi-' (from Latin 'bis', meaning 'twice' or 'two') combined with 'hued', the adjectival form of 'hue' meaning 'color'.

'hue' comes from Old English 'hiw' meaning 'color, appearance', passed into Middle English as 'hue' and then into modern English as 'hue'; the prefix 'bi-' comes from Latin 'bis'. The compound 'bi-hued' is a modern English formation combining these elements.

The components originally meant 'two' and 'color/appearance'; combined they have retained the straightforward meaning 'having two colors' in modern usage.