Why rotated tile layouts need a boundary takeoff.
Can area divided by tile area predict the number of source tiles for diagonal edges?
Use the matching calculator
Use this decision sequence
- Use the rotation and origin offsets from the chosen layout.
- Clip each grid tile to the measured floor boundary.
- Count only positions with positive tile area inside the floor.
- Treat every cut position as a source tile unless a separate offcut plan proves reuse.
Keep the quantities distinct
| Quantity or assumption | How to use it |
|---|---|
| Floor area ratio | Does not describe individual edge cuts. |
| Intersecting tile positions | The conservative no-reuse source count. |
| Joint area | Not tile material, and excluded from clipped tile area. |
Worked comparison
For an illustrative 2 m square, 1 m square tiles at 45°, zero joints and a grid vertex at floor centre intersect twelve tile positions. A simple area ratio gives four tile-equivalents, but those are area, not twelve independently cut source tiles. At four tiles per pack, the stated no-reuse takeoff needs three packs. Other grid origins can change edge cuts.
Check before using the estimate
The result is not an optimal offcut allocation, and the supplied rotation is not a layout recommendation.
All dimensions, product properties, prices and specifications in this example are illustrative arithmetic inputs. Use the values from your measured plan, selected product data sheet and supplier quote. This guide does not choose construction specifications or certify safety.
Calculation and scope checked 2026-10-04. Methods and scope.