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
There are many carbon patterns, but this one is tiny.
Source Designova
To get the tile this is based on select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Here's a tile-able wood background image for use in web design.
Source V. Hartikainen
From a drawing in 'The Quiver of Love', Walter Crane, 1876
Source Firkin
A seamless paper background texture colored in pale yellow. This seamless texture is ideal for those who need a yellow background image for their website. The texture resembles paper.
Source V. Hartikainen
Abstract Geometric Monochrome Pattern Prismatic No Background
Source GDJ
You just can’t get enough of the fabric patterns, so here is one more for your collection.
Source Krisp Designs
And some more testing, this time with Seamless Studio. It’s Robots FFS!
Source Seamless Studio
Embossed lines and squares with subtle highlights.
Source Alex Parker
A blue gray fabric-like texture for websites. An yet another fabric-like texture. It has subtle vertical and diagonal stripes to it.
Source V. Hartikainen
Prismatic Abstract Background Design
Source GDJ
The basic shapes never get old. Simple triangle pattern.
Source Atle Mo
We have some linen patterns here, but none that are stressed. Until now.
Source Jordan Pittman
Carbon fiber is never out of fashion, so here is one more style for you.
Source Alfred Lee
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
Remixed from a design on Pixabay. To get the tile this is based on select the rectangle in Inkscape and use shift-alt-i
Source Firkin
This one is amazing, truly original. Go use it!
Source Viahorizon
Fix side and a seamless pattern formed from circles.
Source SliverKnight
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Remixed from a drawing in 'Paul's Sister', Frances Peard, 1889.
Source Firkin
Classic 45-degree pattern, light version.
Source Luke McDonald
Design drawn in Paint.net, vectorised using Vector Magic and finished in Inkscape.
Source Firkin