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
Remixed from a drawing in 'Chambéry à la fin du XIVe siècle', Timoleon Chapperon, 1863.
Source Firkin
Dark, crisp and subtle. Tiny black lines on top of some noise.
Source Wilmotte Bastien
Abstract Geometric Monochrome Pattern Prismatic No Background
Source GDJ
A tile-able background for websites with paper-like texture and a grid pattern layered on top of it.
Source V. Hartikainen
One more from Badhon, sharp horizontal lines making an embossed paper feeling.
Source Badhon Ebrahim
One week and it's Easter already. Thought I would revisit the decorated egg contest at inkscape community: http://forum.inkscapecommunity.com/index.php?topic=118.0
Source Lazur URH
Small gradient crosses inside 45-degree boxes, or bigger crosses if you will.
Source Wassim
A seamless pattern created from a square tile. To get the tile, select the pattern in Inkscape and use shift+alt+i.
Source Firkin
A seamless pattern with green and yellow diagonal lines on top of a white dotted background.
Source V. Hartikainen
The image depicts a seamless pattern made using a bird's face.
Source Yamachem
From a drawing in 'Sun Pictures of the Norfolk Broads', Ernest Suffling, 1892.
Source Firkin
Vertical lines with a bumpy, yet crisp, feel to it.
Source Raasa
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
The base gradient edited so now more details are rendered.
Source Lazur URH
From a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
Sweet and subtle white plaster with hints of noise and grunge.
Source Phil Maurer
Zero CC tileable moss or lichen covered stone texture, edited from pixabay. CC0
Source Sojan Janso
The name tells you it has curves. Oh yes, it does!
Source Peter Chon
A large pattern with funky shapes and form. An original. Sort of origami-ish.
Source Luuk van Baars
Here's an yet another background for websites, with a seamless texture of wood planks this time.
Source V. Hartikainen
From a drawing in 'Artists and Arabs', Henry Blackburn, 1868.
Source Firkin
Formed by heavily distorting part of a an image of a fish uploaded to Pixabay by GLady
Source Firkin
ZeroCC tileable wood boards texture, photographed and made by me. CC0
Source Sojan Janso
To get the tile this is based on select the rectangle in Inkscape and use shift+alt+i.
Source Firkin