the.com/mitre

a bishop's hat shaped like a fish's open mouth, by holy design

means A mitre is the tall, pointed ceremonial hat worn by bishops and abbots, cleft at the top into two peaks; the word also names a clean angled joint where two pieces of wood or moulding meet at the corner (as in a mitre joint or mitre saw).

from From Greek 'mitra', a headband or turban — a band wound about the head. It passed through Latin 'mitra' and Old French 'mitre' into English for the bishop's headgear. The carpentry sense came later, by resemblance: the way two angled cuts wrap together to crown a corner echoes the fitted band of the original word.

fishy origin
Symbolizes early Christianity's fish, Christ's mouth speaking
two horns
Front and back peaks evoke Moses' radiant horns
carpentry twin
A mitre joint cuts two pieces at 45 degrees
ancient headgear
Greek word meant a band or turban first
taller is holier
Papal mitres grew over centuries to dominate
for instance

mitre peak — 3,163m mountain in the southern alps, new zealand, named for its shape

mitre corporation — defense and technology company founded in 1958, headquartered in mclean, virginia

mitre soft saw — japanese woodworking tool with fine teeth, used for precise crosscuts since feudal era

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