A turtle that can hide its head and neck by folding them sideways into its shell, rather than pulling them straight back.
From 'crypto-' (hidden) + Greek 'diros' (neck). This is the contrasting suborder to Cryptodira, established in the same taxonomic framework during mid-20th century herpetology.
Cryptodires include sea turtles and soft-shells—they can't pull their heads straight back, but they can tuck them sideways with incredible flexibility, which actually works better in water where straight-back turtles would get stuck!
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