Compound miter chart for boxes and hoppers
Miter and bevel for a sloped-sided box of any number of sides — a planter, a hopper, a berry box — by how many sides it has and how far the walls lean from horizontal.
| Sides | 15° slope | 30° slope | 45° slope | 60° slope | 75° slope |
|---|---|---|---|---|---|
| 3 | 59.1° / 13.0° | 56.3° / 25.7° | 50.8° / 37.8° | 40.9° / 48.6° | 24.1° / 56.8° |
| 4 | 44.0° / 10.5° | 40.9° / 20.7° | 35.3° / 30.0° | 26.6° / 37.8° | 14.5° / 43.1° |
| 5 | 35.1° / 8.8° | 32.2° / 17.1° | 27.2° / 24.6° | 20.0° / 30.6° | 10.6° / 34.6° |
| 6 | 29.1° / 7.4° | 26.6° / 14.5° | 22.2° / 20.7° | 16.1° / 25.7° | 8.5° / 28.9° |
| 8 | 21.8° / 5.7° | 19.7° / 11.0° | 16.3° / 15.7° | 11.7° / 19.4° | 6.1° / 21.7° |
| 10 | 17.4° / 4.6° | 15.7° / 8.9° | 12.9° / 12.6° | 9.2° / 15.5° | 4.8° / 17.4° |
| 12 | 14.5° / 3.8° | 13.1° / 7.4° | 10.7° / 10.5° | 7.6° / 13.0° | 4.0° / 14.5° |
Reading it
- Slope is measured from horizontal: 0° is a flat ring or frame (pure miter, no bevel) and 90° is a straight-sided box (pure bevel, no miter). Most hoppers and planters fall between 30° and 60°.
- A four-sided box sloped 45° — the classic hopper — is 35.3° miter and 30° bevel, and it is the case every compound miter table opens with.
- This is the same geometry a turned segmented ring uses with a small number of sides. Cut a test corner from scrap before the good stock: the miter and bevel interact, so an error in one is easy to misread as the other being wrong.
For the case this table does not cover
- Segmented rings and columns
Miter and bevel for any number of sides, flat or flared, and how long each segment has to be.
- Crown molding angles
The miter and bevel for any corner and any spring angle, plus the single setting for cutting it nested.
- Miter angle calculator
The miter for baseboard, casing or chair rail at any corner angle — flat trim, so there's no bevel to set.