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

Hexagram and rhombus is a ceramic layout built from 4 tiles per repeat (sizes 200 × 173.2, 86.6 × 50, 100 × 57.7 mm), repeating on the lattice a = (150, 86.6) mm, b = (0, 173.2) mm, a cell of 25981 mm². The seamless texture repeat is 300 × 173.2 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 and rhombus tile pattern: tiles drawn with their joints

Hexagram and rhombus in numbers

CategoryCeramic, mosaic and geometric tiles
Tiles in one repeat4
Lattice vector a(150, 86.6) mm
Lattice vector b(0, 173.2) mm
Repeat cell area25981 mm²
Tile sizes200 × 173.2, 86.6 × 50, 100 × 57.7 mm
Seamless texture repeat300 × 173.2 mm
Default edge100 (range 10–500)
Default star depth (valley / apothem)0.666667 (range 0.2–0.95)

Free downloads for Hexagram and rhombus

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 and rhombus 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
1789
Cut tiles
131
Whole tiles used
1920
Area (net)
12 m²
Tile area bought
12.8 m²
Waste from cuts
6.7 %
Tiles to order
2112
Tiles by size
SizeFull tilesCut tiles
200 × 173.2 mm42974
86.6 × 50 mm91827
100 × 57.7 mm44230

Open it in the editor or in SketchUp

Open Hexagram and rhombus in the editor

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

Questions about Hexagram and rhombus

How many Hexagram and rhombus 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 1789 full tiles and 131 cut tiles (1920 whole tiles counting each cut tile as one). The net area is 12 m² and the tiles bought cover 12.8 m², so cutting alone wastes 6.7 %. Enter your own room and tile size in the calculator on this page.

Is the Hexagram and rhombus 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-rhombus.

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 and rhombus?

One repeat of the lattice covers 25981 mm² with 4 tiles. The smallest rectangle that repeats seamlessly in both directions, which is what a texture image needs, is 300 × 173.2 mm at the default sizes.

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