Kite (deltoidal trihexagonal) pattern — free hatch (.pat), texture & 3D tiles

With the default tile size and a 3 mm joint, a 4 × 3 m floor needs 3024 full tiles and 168 cut tiles (3192 whole tiles counting each cut tile as one). The net area is 12 m² and the tiles bought cover 12.38 m², so cutting alone wastes 3.2 %. Enter your own room and tile size in the calculator on this page.

Yes. The .pat file draws the tile edges exactly: every edge direction of this pattern is parallel to a lattice vector, so a PAT line family reproduces it without approximation. Units are millimetres and the pattern name inside the file is deltoidal-trihexagonal.

Copy the .pat file into a folder that is in AutoCAD's Support File Search Path (Options > Files), keep the file name (the pattern name inside the file matches it), then pick the pattern in the HATCH command. If Windows blocks the download, right-click the file, open Properties and tick Unblock.

In Revit open Manage > Additional Settings > Fill Patterns, click New, choose Custom and browse to the .pat file. Use the model variant when the pattern must keep its real size on the building.

One repeat of the lattice covers 23271 mm² with 6 tiles. The smallest rectangle that repeats seamlessly in both directions, which is what a texture image needs, is 283.9 × 163.9 mm at the default sizes.