How to make guilloche borders?

Henry432 · Postby **Henry432** » Sun Jun 15, 2014 8:40 am

Does anyone know how to make guilloche borders in inkscape?

Like these:

[url]http://www.shutterstock.com/pic-89471242/stock-vector-vector-illustration-of-detailed-gold-certificate.html?src=eh9lmuWb2yVacbqRWiWZUQ-1-10
[/url]

http://www.shutterstock.com/pic-81636574/stock-vector-vector-premium-certificate-template-and-ornaments-easy-to-edit-perfect-for-gift-certificates-and.html?src=eh9lmuWb2yVacbqRWiWZUQ-1-29

http://www.shutterstock.com/pic-59322601/stock-vector-vector-certificate-easy-to-edit-and-change-colors.html?src=eh9lmuWb2yVacbqRWiWZUQ-1-62

http://www.123rf.com/photo_2231326_old-certificate-border.html

Thank you in advance for your time and help.

Espermaschine · Postby **Espermaschine** » Sun Jun 15, 2014 9:17 am

i made mine from this thread:
viewtopic.php?f=8&t=17491

with tiled clones (rotated circles and polygon shapes), but the examples you posted are a lot more complex

you could also try the spirograph extension

Henry432 · Postby **Henry432** » Mon Jun 16, 2014 2:38 pm

Thanks friend, but does anyone have any other way to make guilloce borders in inkscape?

Lazur · Postby **Lazur** » Mon Jun 16, 2014 8:32 pm

These images are very detailed, mostly to avoid copying and making fake documents, similar to decorations used as security printing on currency.

wikipedia wrote:Geometric lathe work
A guilloché is an ornamental pattern formed of two or more curved bands that interlace to repeat a circular design. They are made with a geometric lathe.

http://en.wikipedia.org/wiki/Security_printing

A geometric lathe was used for making ornamental patterns on the plates used in printing bank notes and postage stamps. It is sometimes called a guilloché lathe. It was developed early in the nineteenth century when efforts were introduced to combat forgery, and is an adaptation of an ornamental turning lathe. The lathe was able to generate intersecting and interlacing patterns of fine lines in various shapes, which were almost impossible to forge by hand-engraving. They were used by many national mints.

http://en.wikipedia.org/wiki/Geometric_lathe

I can only think of the parametric curve extension to start off as these patterns seem to be the combination of some sin and cos functions,
but making such results by only using it is a bit beyond me.

For example:

ragstian · Postby **ragstian** » Tue Jun 17, 2014 12:31 am

Hi.

Looking at the numerous guilloche borders designs for sale (Vectorstock etc) you should think it is relatively easy to make.

Looking for the maths to create these borders I found most was made by a derivative of the spirograph function.
Creating a new extension based on the existing spirograph extension should be possible.

Use of the function plotter is another possibility, by adapting the code and formula found here;
http://www.techques.com/question/31-46507/Recreating-a-guilloche-with-TikZ
for use in the inkscape extension 'Render - Function plotter' I created
this;

My converted 'formula';
(4+sin(5*(x)))+((7+sin(7*(x)))-(4+sin(5*(x))))*(1+sin(5*(x)+0*20))/2

I made 20 different curves and changed the term 0*20 in the formula to 1*20, 2*20 and so on for each curve.

(Click image to enlarge.)
If you make a rounded corner box, converted to path and had every curve as a path along path you might get a decent border?

Good Luck.
RGDS
Ragnar

ragstian · Postby **ragstian** » Tue Jun 17, 2014 3:54 am

Hi.

Just tested the path along path idea, with some 'refinement' to get the border start&stop to meet it would work.
(Edit; To 'refine' just use 'repeated and stretched'!! I used 'repeated' only in the example - doh!)

(Click Image to enlarge.)

By combining several border plot it might be possible to make a decent border?

RGDS
Ragnar

Lazur · Postby **Lazur** » Tue Jun 17, 2014 4:17 am

Well then the hatching lpe can generate some basic solution too.

ragstian · Postby **ragstian** » Tue Jun 17, 2014 6:06 am

Hi.

Lazur, I am not having the required knowledge on the Hatching - Live Path Effect to enable me to make a guilloche border.
Can you enlighten me please?

RGDS
Ragnar

Lazur · Postby **Lazur** » Tue Jun 17, 2014 6:20 am

It's more of a try and error to me yet, will post work in progress image.

ragstian · Postby **ragstian** » Tue Jun 17, 2014 6:34 am

Hi.

Knowing you I am sure you will come up with something smart!

RGDS
Ragnar

Lazur · Postby **Lazur** » Tue Jun 17, 2014 8:32 am

Hi.

Thank's, but I can't get it smarter than that function plot you posted above.

And couldn't get my idea work all the way through the hatching lpe, though edited it so now it may be suitable for monopoly money.

Used the xml editor to add precise directions to the path effects as the handles are a bit buggy.
Had to add the lpe to each duplicant one by one, because by duplicating the objects the lpe doesn't get duplicated.
(Which behaviour is very handy in any other case.)

Edit:
just found this.

ragstian · Postby **ragstian** » Tue Jun 17, 2014 9:57 am

Hi

Clever!
This reminds me of hatching for plotting on eggs using the EGGBOT.
In the eggbot extensions for Inkscape there are a 'preset hatches' function which is quite useful.
Example of use;

Guillochet_Plot_New.svg: (202.85 KiB) Downloaded 611 times

Have fun.
RGDS
Ragnar

Henry432 · Postby **Henry432** » Wed Jun 18, 2014 7:47 am

Thanks for the help guys. Anyone else have any idea how these guilloche borders are made?

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