Pythagoras tree fractal, order 8 SVG
Which one? SVG for Cricut and lasers, DXF for the free Silhouette Studio, PNG to print.
Free for personal and commercial use, no sign-up. What you can do with it.
A square carries a right-angled triangle on its top, and a smaller square stands on each of the other two sides, eight times over: 511 squares. The two squares that stand on a triangle always add up, in area, to the square below it.
What is in the file
| Size | 100 × 68 mm (3.94 × 2.67 in), scales to any size |
|---|---|
| Pieces | One piece: it holds together when cut |
| Outlines to cut | 33: 1 outer edge and 32 cut-outs |
| Cut length | 1,496 mm at this size |
| Narrowest part | 1.3 mm at this size |
| Nodes | 820 curve and line segments |
| Symmetry | Mirror |
Measured from the file. PNG: 2,000 × 1,381 pixels, transparent. About the three file types.
How fine is it at your size?
Scaling a design scales its finest detail too. Here is this one at seven sizes, from 1 to 12 inches on its longer side, with how many copies fit a 12 × 12 inch sheet or mat.
| Size, width × height | Narrowest part | Cut length | Fit on a 12 in sheet | Rule of thumb |
|---|---|---|---|---|
| 1 × 0.68 in (25 × 17 mm) | 0.33 mm | 380 mm | 130 | Too fine for most machines |
| 2 × 1.36 in (51 × 34 mm) | 0.66 mm | 760 mm | 35 | Fine detail: vinyl and paper only, weed with care |
| 3 × 2.03 in (76 × 52 mm) | 0.99 mm | 1,140 mm | 15 | Fine detail: vinyl and paper only, weed with care |
| 4 × 2.71 in (102 × 69 mm) | 1.3 mm | 1,520 mm | 8 | Vinyl, card and thin sheet |
| 6 × 4.07 in (152 × 103 mm) | 2 mm | 2,280 mm | 2 | Vinyl, card and thin sheet |
| 8 × 5.42 in (203 × 138 mm) | 2.6 mm | 3,040 mm | 2 | Vinyl, card and thin sheet |
| 12 × 8.14 in (305 × 207 mm) | 4 mm | 4,560 mm | 1 | Any material, including 3 mm wood and acrylic |
The narrowest part is the finest detail in the pattern. Below about half a millimetre it is too small to cut and may fill in when printed. How to open the file in Cricut, Silhouette and laser software.
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