Guilloché Patterns
Published on 10 October 2008
If you wanted to design your own bank notes or passport you might consider using a Guilloché pattern as one of your anti-counterfeiting measures.
I first heard about Guilloché patterns in a recent post over at the Ministry of Type blog run by Aegir Hallmundur. Guilloché machines (also known as geometric lathes) have been used since the 17th century by watchmakers and goldsmiths, such as Fabergè, for for ornamentation.
Using the set of Hypotrochoid equations Aegir describes I've built a little Flash app to experiment with the various parameters. Click the picture below to play.
Download the AS3 source code and play with the Guilloché explorer.
Last updated: 20 October 2008
8 Comments
Links & further reading
- Guilloché Explorer
- Guilloché Gallery
- Download AS3 source code
- Original inspiration
- Guilloché on Wikipedia
- Guilloché on Mathworld
- Excentro
Commercial software for those who want to get serious about their Guillochés.
Related posts
- Aliasing patterns
- An experiment in generating aliasing patterns
- Butterfly curves
- Continuing the theme of circular patterns this experiment explores a formula that can create butterfly like curves.
- Escher's Droste Effect
- A Pixel Bender script to generate the recursive spiralling image created by Escher in his Print Gallery image.
- Gumowski-Mira Patterns
- An interactive investigation of the marine looking patterns created by the Gumowski-Mira transformation.
- More blog posts




I will now try to generate some banknotes :)
This is real cool.
And... nice one, Tomek :)
Please please please add a save to file function!!
Daniel - if you press 's' you can save the image out as a JPEG.
Remarkable control board!
Very stylish, but on this MacBook, dark grey on darkish grey is close to unreadable.
Which control is which?
Thanks Tim. If you select white from the bottom colour picker then the text/background colour combination will reverse to make it more readable.
Is there (or will there be) an animatable version for After Effects?
John, at the moment there isn't a version for After Effects I'm afraid.