From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
The unit cell for this seamless pattern can be had in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
Alternative colour scheme. Not a pattern for fabrics, but one produced from a jpg of a stack of fabric items that was posted on Pixabay. The tile that this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
A background pattern inspired by designs seen in 'Burghley. The Life of William Cecil', William Charlton, 1857.
Source Firkin
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
There are many carbon patterns, but this one is tiny.
Source Designova
Here's an yet another background for websites, with a seamless texture of wood planks this time.
Source V. Hartikainen
A repeating background with dark brown stone-like texture and abstract pattern that looks like tree trunks.
Source V. Hartikainen
This one is rather fun and playful. The 2X could be used at 1X too!
Source Welsley
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
Prismatic Abstract Background Design
Source GDJ
From a drawing in 'Navigations de Alouys de Cademoste.-La Navigation du Capitaine Pierre Sintre', Alvise da ca da Mosto, 1895.
Source Firkin
A pattern derived from repeating unit cells each derived from part of a fractal rendering in paint.net.
Source Firkin
Light gray grunge wall with a nice texture overlay.
Source Adam Anlauf
Bright gray tones with a hint of some metal surface.
Source Hendrik Lammers
Zero CC tileable cork floor, photographed and made by me. CC0
Source Sojan Janso
Semi-light fabric pattern made out of random pixels in shades of gray.
Source Atle Mo
As simple and subtle as it gets. But sometimes that’s just what you want.
Source Designova
You can never get enough of these tiny pixel patterns with sharp lines.
Source Designova
Pattern #100! A black classic knit-looking pattern.
Source Factorio.us Collective
Seamless Olive Green Web Background Image
Source V. Hartikainen
From a drawing in 'Les Chroniqueurs de l'Histoire de France depuis les origines jusqu'au XVIe siècle', Henriette Witt, 1884.
Source Firkin
CC0 and a seamless pattern from a tile drawn in Paint.net .
Source SliverKnight
With a name like this, it has to be hot. Diagonal lines in light shades.
Source Isaac