As far as fabric patterns goes, this is quite crisp.
Source Heliodor Jalba
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
Prismatic Groovy Concentric Background 2 No Black
Source GDJ
Inspired by a drawing in 'Poems', James Smith, 1881.
Source Firkin
To get the tile this is based on select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Tile-able Dark Brown Wood Background. Feel free to use it as a background image in your designs or somewhere on the web. By the way, the color seems to be close to Coffee Brown.
Source V. Hartikainen
Prismatic Abstract Geometric Background 4 No Black
Source GDJ
Light gray grunge wall with a nice texture overlay.
Source Adam Anlauf
Nice little grid. Would work great as a base on top of some other patterns.
Source Arno Gregorian
From a drawing in 'Heroes of North African Discovery', Nancy Meugens, 1894.
Source Firkin
Zero CC tileable wood texture, made by me procedurally in Neo Texture Edit.
Source Sojan Janso
Number 2 in a series of 5 beautiful patterns. Can be found in colors on the submitter’s website.
Source Janos Koos
The unit cell for this seamless pattern can be had in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
Continuing the geometric trend, here is one more.
Source Mike Warner
Not the most creative name, but it’s a good all-purpose light background.
Source Dmitry
Prismatic Rounded Squares Grid 3 No Background
Source GDJ
The act or state of corrugating or of being corrugated, a wrinkle; fold; furrow; ridge.
Source Anna Litvinuk
Looks like a technical drawing board: small squares forming a nice grid.
Source We Are Pixel8
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
Prismatic Abstract Background Design
Source GDJ
Remixed from a drawing in 'Maidenhood; or, the Verge of the Stream', Laura Jewry, 1876.
Source Firkin
Remixed from a drawing in 'Hungary. A guide book. By several authors', 1890.
Source Firkin
Produced using the clouds, flames and glass blocks plug-ins in Paint.net and the resulting .PNG vectorised with Vector Magic.
Source Firkin
Prismatic Basic Pattern 2 No Background
Source GDJ