The best way to attach mesh fencing to wood posts and rails is with galvanized U-staples. I suggest using staples no smaller than 3/4 inch for this purpose.
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How to Build a Mesh Fence/detailed tutorial
Cheap Fence Ideas | Security Fencing, School Fencing & Pipe and Mesh Fencing
Perfect example of what I want for my chicken wire/wire mesh fencing. A more long term "temporary fix" for my escape artist dogs.
Reasonably Priced Dog Proof Fencing
Modern trellis with creeper to act as garden room divider
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wire mesh fence designs - Google Search
Living Iron: Hog Wire Fencing with Patina, landscape design, fencing. Will it keep out deer?
Separating horses and cows - The Horse Forum
Galvanized steel mesh fence with cedar frame - Loyal Heights, Ecoyards.