A cute x, if you need that sort of thing.
Source Juan Scrocchi
This was formed by distorting an image of a background on Pixabay.
Source Firkin
Light square grid pattern, great for a “DIY projects” sort of website, maybe?
Source Rafael Almeida
It’s big, it’s gradient—and it’s square.
Source Brankic1979
Prismatic Hexagonalism Pattern No Background
Source GDJ
A seamless background pattern with impressed gray dots.
Source V. Hartikainen
Prismatic Isometric Cube Extra Pattern No Background
Source GDJ
Looks like an old rug or a computer chip.
Source Patutin Sergey
Used correctly, this could be nice. Used in a bad way, all hell will break loose.
Source Atle Mo
Light and tiny, just the way you like it.
Source Rohit Arun Rao
Did some testing with Repper Pro tonight, and this gray mid-tone pattern came out.
Source Atle Mo
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
From a drawing in 'An Old Maid's Love. A Dutch tale told in English', Maarten Maartens, 1891.
Source Firkin
A seamless web texture with illustration of pale color stains on canvas.
Source V. Hartikainen
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
With a name this awesome, how can I go wrong?
Source Nikolay Boltachev
Same as Silver Scales, but in black. Turn your site into a dragon with this great scale pattern.
Source Alex Parker
Prismatic Isometric Cube Wireframe Pattern No Background
Source GDJ
One can never have too few rice paper patterns, so here is one more.
Source Atle Mo
Little x’es, noise and all the stuff you like. Dark like a Monday, with a hint of blue.
Source Tom McArdle
Just to prove my point, here is a slightly modified dark version.
Source Atle Mo
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso