Motif

Hexagram, square and triangle pattern — free hatch (.pat), texture & 3D tiles

Hexagram, square and triangle is a ceramic layout built from 6 tiles per repeat (sizes 120 × 103.9, 82 × 82, 94.6 × 60 mm (+1)), repeating on the lattice a = (142, 82) mm, b = (0, 163.9) mm, a cell of 23271 mm². The seamless texture repeat is 283.9 × 163.9 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.

Hexagram, square and triangle tile pattern: tiles drawn with their joints

Hexagram, square and triangle in numbers

CategoryCeramic, mosaic and geometric tiles
Tiles in one repeat6
Lattice vector a(142, 82) mm
Lattice vector b(0, 163.9) mm
Repeat cell area23271 mm²
Tile sizes120 × 103.9, 82 × 82, 94.6 × 60, 60 × 52 mm
Seamless texture repeat283.9 × 163.9 mm
Default edge60 (range 10–500)
Default star depth (valley / apothem)0.666667 (range 0.2–0.95)

Free downloads for Hexagram, square and triangle

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.

Hexagram, square and triangle 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
2975
Cut tiles
199
Whole tiles used
3174
Area (net)
12 m²
Tile area bought
12.41 m²
Waste from cuts
3.4 %
Tiles to order
3492
Tiles by size
SizeFull tilesCut tiles
120 × 103.9 mm47378
82 × 82 mm100828
94.6 × 60 mm48665
60 × 52 mm100828

Open it in the editor or in SketchUp

Open Hexagram, square and triangle in the editor

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

Questions about Hexagram, square and triangle

How many Hexagram, square and triangle 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 2975 full tiles and 199 cut tiles (3174 whole tiles counting each cut tile as one). The net area is 12 m² and the tiles bought cover 12.41 m², so cutting alone wastes 3.4 %. Enter your own room and tile size in the calculator on this page.

Is the Hexagram, square and triangle 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 hexagram-square-triangle.

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 Hexagram, square and triangle?

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.

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