Carbon fiber is never out of fashion, so here is one more style for you.
Source Alfred Lee
A bit like some carbon, or knitted netting if you will.
Source Anna Litvinuk
A very dark spotted twinkle pattern for your twinkle needs.
Source Badhon Ebrahim
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
Orange-red pattern for tiled backgrounds.
Source V. Hartikainen
A seamless pattern the starting point for which was a 'light rays' rendering in Paint.net.
Source Firkin
A grayscale fabric pattern with vertical lines of stitch holes.
Source V. Hartikainen
Dark Tile-able Grunge Texture. I think this texture can be classified as grunge. It's free and seamless, as always.
Source V. Hartikainen
The Grid. A digital frontier. I tried to picture clusters of information as they traveled through the computer.
Source Haris Šumić
A seamless background of warped stripes on paper.
Source V. Hartikainen
Seamless pattern formed from a tile that can be had by selecting the rectangle in Inkscape and using shift-alt-i.
Source Firkin
Abstract Tiled Background Extended 12
Source GDJ
Pattern that came out of playing with the 'slinky' plug-in for Paint.net
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
Bigger is better, right? So here you have some large carbon fiber.
Source Factorio.us Collective
Original seamless pattern with an Inkscape filter.
Source Firkin
Seamless pattern formed from a tile that can be extracted by selecting the rectangle in Inkscape and using shift-alt-i.
Source Firkin
A bit of scratched up grayness. Always good.
Source Dmitry
I love these crisp, tiny, super subtle patterns.
Source Badhon Ebrahim
Prismatic 3D Isometric Tessellation Pattern 6
Source GDJ
Remixed from an image that was uploaded to Pixabay by Pixeline
Source Firkin
Just what the name says, paper fibers. Always good to have.
Source Heliodor jalba
Could remind you a bit of those squares in Super Mario Bros, yeh?
Source Jeff Wall