One more updated pattern. Not really carbon fiber, but it’s the most popular pattern, so I’ll give you an extra choice.
Source Atle Mo
To get the tile this is made up from select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
I guess this one is inspired by an office. A dark office.
Source Andrés Rigo.
To get the tile this is based on, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
I know there is one here already, but this is sexy!
Source Gjermund Gustavsen
Prismatic Geometric Pattern Background 2 No Black
Source GDJ
From a drawing in 'Sun Pictures of the Norfolk Broads', Ernest Suffling, 1892.
Source Firkin
Abstract Ellipses Background Grayscale
Source GDJ
Adapted from a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
Design drawn in Paint.net, vectorised using Vector Magic and finished in Inkscape.
Source Firkin
A bit like some carbon, or knitted netting if you will.
Source Anna Litvinuk
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Prepared mostly as a raster in Paint.net and vectorised.
Source Firkin
This was formed by distorting an image of a background on Pixabay.
Source Firkin
I know there is one here already, but this is sexy!
Source Gjermund Gustavsen
Floral patterns might not be the hottest thing right now, but you never know when you need it!
Source Lauren
Love me some light mesh on a Monday. Sharp.
Source Wilmotte Bastien
A seamless pattern the starting point for which was a 'rainbow twist' texture in Paint.net.
Source Firkin