the.com/miter

The 45-degree lie two boards tell so the joint looks seamless.

means A beveled joint cut (classically at 45 degrees) where two pieces meet to form a corner, or the tall pointed ceremonial hat worn by bishops and other high clergy.

from From Greek 'mitra,' meaning headband, turban, or belt — originally just something wound or wrapped around the head. It passed through Latin 'mitra' into Old French 'mitre' and then into English, first naming the bishop's peaked headgear. The carpentry sense — a corner joint cut at an angle — arrived later, likely because the two sloped faces of the cut, meeting at a peak, visually echoed the pointed shape of the bishop's hat.

origin
from bishop's pointed hat shape
the catch
wood moves, glue doesn't, gaps happen
pro trick
compound miters cut two angles at once
fail mode
off by one degree, gap by a mile
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