I’m rather pleased with this, as it’s the first pattern I’ve worked out from a real example, a screen in the Aga Khan Museum:
Here’s the pattern as a full page PDF from Inkscape: akm-screen-tiled-strapwork.pdf. The pattern’s not much more than an 8-pointed star with a smaller 8-pointed star inside it, rotated 22½°. But it’s still kinda neat.
These SVG templates are modelled after Eric Broug‘s drawing templates for Islamic Geometric Design pattern elements. Although written for Inkscape, they should be usable with almost any graphics program.
By enabling snapping to nodes and object centres, your drawing program can act like an accurate straight edge and compass for constructing geometric figures.
The files are name N-LL-S.svg, where:
N — is the root symmetry: 4-fold, 5-fold, 6-fold, etc.
LL — the total number of lines arranged evenly around the circle. This will always be a multiple of N.
S — If the total number of lines has another symmetry that is a factor, this is S. If S = 0, then only the root symmetry is marked.
4-12-6.svg — base symmetry 4-fold (square/diamond), with 12 lines or 30° spacing. Hexagonal (6-fold) guidelines are highlighted in a different colour.
5-10-0.svg — base symmetry 5-fold (pentagonal), with 10 lines or 36° spacing. No other guidelines are highlighted.
In Inkscape 0.91:
units set to mm
snapping set to cusp nodes, intersections, and object rotation centres
construction lines on a separate layer (‘construction’) from the active layer (‘drawing’)
The original has her contact details, which I’ve left out here. I’d never used Inkscape before; the tricky part was working out the layer alignment while allowing for the bleed. I exported it as a 600 dpi PNG, then sent it to Staples Copy & Print. Turned out pretty well, I thought.