Seamless pattern the tile for which can be had by using shift-alt-I on the selected rectangle in Inkscape.
Source Firkin
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
If you want png files of this u can download them here : viscious-speed.deviantart.com/gallery/27635117
Source Viscious-Speed
Small gradient crosses inside 45-degree boxes, or bigger crosses if you will.
Source Wassim
There are quite a few grid patterns, but this one is a super tiny grid with some dust for good measure.
Source Dominik Kiss
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Based on several public domain drawings on Wikimedia Commons. This was formed from a rectangular tile. The tile can be accessed in Inkscape by selecting the rectangle and using shift-alt-i
Source Firkin
Not even 1kb, but very stylish. Gray thin lines.
Source Struck Axiom
Drawn in Paint.net using the kaleidoscope plug-in and vectorised.
Source Firkin
Made by distorting a simple pattern using the 'sin waves' plugin for Paint.net and vectorising in Vector Magic
Source Firkin
Fake or not, it’s quite luxurious.
Source Factorio.us Collective
From a design found in 'History of the Virginia Company of London; with letters to and from the first Colony, never before printed', Edward Neill, 1869.
Source Firkin
Fix side and a seamless pattern formed from circles.
Source SliverKnight
Prismatic Hypnotic Pattern 2 No Background
Source GDJ
Inspired by a pattern found in 'A General History of Hampshire, or the County of Southampton, including the Isle of Wight', Bernard Woodwood, 1861
Source Firkin
A seamless pattern based on a square tile that can be retrieved in Inkscape by selecting the rectangle and using shift-alt-i.
Source Firkin
A version without colours blended together to give a different look.
Source Firkin
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
A set of paper filters. The base texture is generated the same way, only the compositing mode is varied.
Source Lazur URH
Number five from the same submitter, makes my job easy.
Source Dima Shiper
Classy golf-pants pattern, or crossed stripes if you will.
Source Will Monson
Your eyes can trip a bit from looking at this – use it wisely.
Source Michal Chovanec
Bigger is better, right? So here you have some large carbon fiber.
Source Factorio.us Collective