Motif

Tetrakis square pattern — free hatch (.pat), texture & 3D tiles

Tetrakis square is a ceramic layout built from 4 tiles per repeat (sizes 241.4 × 120.7 mm), repeating on the lattice a = (241.4, 0) mm, b = (0, 241.4) mm, a cell of 58284 mm². The seamless texture repeat is 241.4 × 241.4 mm. Download it as a CAD hatch, a seamless texture or SVG and DXF lines, count the tiles for your room, or build it as real 3D tiles in SketchUp. All free.

Tetrakis square tile pattern: tiles drawn with their joints

Tetrakis square in numbers

CategoryCeramic, mosaic and geometric tiles
Tiles in one repeat4
Lattice vector a(241.4, 0) mm
Lattice vector b(0, 241.4) mm
Repeat cell area58284 mm²
Tile sizes241.4 × 120.7 mm
Seamless texture repeat241.4 × 241.4 mm
Default source edge100 (range 10–500)

Free downloads for Tetrakis square

Hatch units are millimetres at the default tile size. For other sizes use the hatch page or the editor, which exports every format at the size you set.

Tetrakis square tile calculator

Enter the room, grout and tile size. The count comes from the same engine that lays the 3D tiles, so the cut tiles are real cuts against your room edges (a 4 × 3 m room is shown first). More patterns: tile calculator.

Full tiles
780
Cut tiles
86
Whole tiles used
866
Area (net)
12 m²
Tile area bought
12.62 m²
Waste from cuts
5.2 %
Tiles to order
953
Tiles by size
SizeFull tilesCut tiles
241.4 × 120.7 mm78086

Open it in the editor or in SketchUp

Open Tetrakis square in the editor

Use it in SketchUp (10 free uses a day) motif.rbz

Questions about Tetrakis square

How many Tetrakis square tiles do I need for a 4 × 3 m room?

With the default tile size and a 3 mm joint, a 4 × 3 m floor needs 780 full tiles and 86 cut tiles (866 whole tiles counting each cut tile as one). The net area is 12 m² and the tiles bought cover 12.62 m², so cutting alone wastes 5.2 %. Enter your own room and tile size in the calculator on this page.

Is the Tetrakis square hatch exact?

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 tetrakis-square.

How do I use the .pat file in AutoCAD?

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.

How do I use the .pat file in Revit?

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.

What is the repeat size of Tetrakis square?

One repeat of the lattice covers 58284 mm² with 4 tiles. The smallest rectangle that repeats seamlessly in both directions, which is what a texture image needs, is 241.4 × 241.4 mm at the default sizes.

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