Miter Angle For a 11 Sided Box

A regular 11-sided box needs a 16.36° miter at each end — like the 7-sided case, 180 divided by 11 never terminates (16.363636... repeating), but unlike seven, eleven sides essentially never shows up in real furniture or joinery work at all.

Why this one specifically

Eleven-sided regular polygons are a genuine curiosity rather than a practical shape: nothing in standard furniture, planter or turning design calls for it, and most woodworkers who look this angle up are checking a novelty piece, a math-class project, or reverse-engineering something unusual rather than building to a plan that specified it. That rarity is itself the notable fact here, more than the repeating decimal — plenty of odd angles repeat, but few side counts are this absent from actual project use.

What moves the number

Purely geometric, with no material dependency. Because this shape is so rarely built, there's no accumulated shop wisdom about how tightly a saw needs to hold this specific angle across eleven corners the way there is for the well-worn 6, 8 and 12-sided cases — treat the rounding the same as any other polygon and check the final joint carefully, since nobody's tested this one's tolerances for you.