Free fractal SVG

H tree fractal, order 7 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.

H tree fractal, order 7, drawn as a line
H tree fractal, order 7. The preview is the SVG file itself.

A bar with a shorter bar across each end, the letter H, and then the same at every free end, each bar 0.707 times the last. It spreads evenly over a rectangle and is how chips share out a clock signal.

What is in the file

Size100 × 71 mm (3.94 × 2.8 in), scales to any size
PiecesOne piece: it holds together when cut
Outlines to cut1 outline
Cut length3,808 mm at this size
Narrowest part1.6 mm at this size
Nodes1,062 curve and line segments
Symmetry2-fold rotation and mirror

Measured from the file. PNG: 2,000 × 1,446 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 × heightNarrowest partCut lengthFit on a 12 in sheetRule of thumb
1 × 0.71 in (25 × 18 mm)0.41 mm967 mm130Too fine for most machines
2 × 1.42 in (51 × 36 mm)0.81 mm1,934 mm35Fine detail: vinyl and paper only, weed with care
3 × 2.14 in (76 × 54 mm)1.2 mm2,902 mm15Vinyl, card and thin sheet
4 × 2.85 in (102 × 72 mm)1.6 mm3,869 mm8Vinyl, card and thin sheet
6 × 4.27 in (152 × 109 mm)2.4 mm5,803 mm2Vinyl, card and thin sheet
8 × 5.7 in (203 × 145 mm)3.3 mm7,738 mm2Any material, including 3 mm wood and acrylic
12 × 8.54 in (305 × 217 mm)4.9 mm11,607 mm1Any 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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