Diagonal tile layout calculator

The same pure function powers the free browser tool and the paid API, so a showroom quote matches a later scripted estimate.

How diagonal versus straight tile waste is estimated

The straight layout uses the familiar whole-tile grid: count ceil of L divided by tl along the length and ceil of W divided by tw along the width, multiply those integers for tiles_straight_geo, then inflate by the optional breakage factor one plus breakage_percent over one hundred and ceil again so purchase counts stay whole. That straight purchase already includes the geometric waste of partial edge rows when the room is not an exact multiple of the tile. This calculator models that boundary loss as a waste band of width tile_diag divided by four along the full perimeter, plus a corner scrap term of tile_diag squared over four, where tile_diag is the Euclidean diagonal of one tile. Adding that cut waste area to the room area, dividing by tile area, applying the same breakage factor, and ceiling produces tiles_diagonal.

What you send and what you get back

Wire the free browser form for DIY and showroom planning, then call the identical contract from scripts when you need room-by-room schedules. Send four required finite numbers—room_length, room_width, tile_length, and tile_width—plus optional breakage_percent when you want the same handling allowance on both layouts. All dimensions must be strictly positive; breakage_percent must be non-negative when present and defaults to zero when omitted. Missing fields, empty strings, NaN, and Infinity fail with invalid_input and are not charged. On success the response echoes cleaned room and tile geometry, room_area, perimeter, tile_diag, breakage_percent, the straight grid counts tiles_along_length and tiles_along_width, tiles_straight_geo and tiles_straight, area and waste for the straight layout, the diagonal intermediates waste_band_width, cut_waste_area, area_with_diag_cuts, and tiles_diag_exact, then tiles_diagonal with its area and waste, and the comparison fields extra_tiles, extra_waste_area, extra_waste_percent, and extra_vs_straight_percent. Classic checks include a five by four metre room with zero-point-six by zero-point-six metre tiles and five percent breakage: the straight ceil grid and the diagonal cut-band model both inflate, and extra_tiles is non-negative. Pricing for successful API calls is the published base of $0.002 per item; validation failures do not consume prepaid balance.

Where diagonal layout waste estimates show up in real work

Homeowners comparing a herringbone-adjacent or classic diamond look against a simple straight stack need a trustworthy delta before they approve a larger order of large-format porcelain. If you need total boxes from a single waste percent without a diagonal comparison, wall tile with openings, or grout joint volumes, use the dedicated floor tile, wall tile, or grout calculators—those search intents stay on their own landings rather than overloading this diagonal waste comparison page. Flooring contractors price change orders when a client upgrades from straight to diagonal: reporting extra_tiles and extra_waste_percent keeps the conversation numeric instead of vague. Interior designers holding room size fixed while swapping tile SKUs can re-run only tile_length and tile_width to see how larger tiles raise the relative cut band and therefore the diagonal premium. Property managers renovating corridors and lobbies feed batches of room dimensions through the API and attach extra waste lines to purchase orders so overstock is intentional. Because this capability is a pure parse engine, API pricing is the published base of $0.002 per successful item and failed validation does not consume balance.