Is there a definite place where TikZ manual can be found online?
I am only finding version 2.00, while I keep loosing the link to 2.10.
Does the official site host the manual somewhere, or is it only available in the zip? Any help appreciated.
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The latest officialy released manual would be at the PGF site of the Comprehensive TEX Archive Network (CTAN) or directly at https://pgf-tikz.github.io/pgf/pgfmanual.pdf
If you need the absolute most recent version or previous versions of the manual (even unstable builds of PGF/TikZ), then you can look at the list of releases in the GitHub source repository (the PDFs are under the ▶ Assets collapsible item).
The place to look for the PGF offical released manual would be the CTAN directory: ctan.org/pkg/pgf.
into your browser's address field and you'll automatically be taken to the right place. So in your case, go to http://texdoc.net/pkg/tikz or http://texdoc.net/pkg/pgf, they both lead to the manual, version 2.10.
Joseph Wright wrote about this service on our blog: TeX documentation online: texdoc.net
If you want a CVS version of pgf tikz, I put on my site altermundus the complete archive with the documentation and the changelog (it's the version of 24/01:2012) I will put the last one in a few days.
The source for this package is on Github (Aug 16, 2019). The manual is created as part of the continuous integration process and uploaded to: https://pgf-tikz.github.io/pgf/pgfmanual.pdf
As of 2019, the documentation (manual) version 3.1.1 can be found in pdf form at: CTAN-math-washington-edu: TikZ & PGF. It's north of 1200 pages, so I suppose this is the complete manual.