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Synonyms for Rigid (same or very similar meaning)

WordNet sense 1 (incapable of compromise or flexibility):
strict

WordNet sense 2 (unwilling to tolerate difference of opinion):
intolerant

WordNet sense 3 (fixed and unmoving):
fixed, set

WordNet sense 4 (not in motion):
nonmoving, unmoving

WordNet sense 5 (incapable of adapting or changing to meet circumstances):
unbending

WordNet sense 6 (not adaptable):
unadaptable

WordNet sense 7 (incapable of or resistant to bending):
stiff

WordNet sense 8 (resistant to being bent):
inflexible


From the ODE community, based on WordNetadd/edit