great indepth guide!

• Runes: I feel like armor penetration from runes is a subpar choice. I would suggest using flat attack damage. Flat AP quints are viable but again, I feel like flat attack damage would be a better choice.
• You should clarify the item build in your cheat sheet a bit. Straight up rushing a bilgewater probably isn't the best idea. I know you mention you're not a fan of Doran's Blade but getting 1 or 2 will make you notably stronger in the early laning phase, as well as give you some survivability and life steal.
• Masteries: since you're going for more of an AD build, you'll benefit a lot more from Alacrity and Weapon Expertise . I would also suggest grabbing Brute Force over Mental Force as 3 AP really is pretty useless.
• I'd grab Enlightenment over Honor Guard . 1.5% damage reduction is very insignificant while cooldown reduction is actually good on Jax.
• Other than that I think there's a couple more good items worth mentioning such as Wit's End, Guardian Angel, Wriggle's Lantern, Randuin's Omen, Maw of Malmortius
• Consider adding a section about teamfighting and/or go a little more in depth on how to actually play Jax outside of the laning phase.

Overall it's a pretty decent guide that will give the readers a good idea of how to actually build Jax. It could use a couple of gameplay tips though.

^ that

All right, Matt,

"let's do this"
- Jax, The Grandmaster at Arms ;)

I like the guide overall.

Your pregame setup seems quite solid to me. All runes/masteries are completely fine for the most part. However, what I would like to point out:

• Since you're running Ignite, it is MUCH BETTER to swap one point from Mental Force into Summoner's Wrath . If you think about it, you're exchanging 1 AP for 5 AP and 5 AD as long as your Ignite is down.
  As a one-point investment, Summoner's Wrath is one of the best masteries, in my opinion.

Your items are just fine, although I believe there are much more items to be listed (almost everything works well on Jax =P).
But as far as I am aware, after you get Trinity Force and Hextech Gunblade, you won the game...
Personally, I would recommend starting Boots+3pots or Cloth Armor+5pots (as you already suggest) for solo top. I don't think that Doran's item start is currently viable.

I saw some really good playstyle tips, especially the one about pre-activating Counter Strike and then jump-stunning the enemy (a technique that many Jax players lack skill in :).
HOWEVER, I recommend that you make a distinct section for it. Having it go right after skill sequence and then jumping right into Summoner Spells choices is kind of random and hard for an eye to catch.

Overall, what I would recommend you to do:

• Talk a little about Jax's abilities. (Make a separate section for it+ability sequence)
• Elaborate on countering mechanics for each specific champ. Stating that Jax counters/not counters someone is quite vague.
• I would suggest substituting your pictures with coding. It's very simple!
  Just use
  Code:

  [icon=(insert item name) size=60]
  
  So
  Code:

  [icon=hextech gunblade size=60]
  will result in
• Update your guide as you learn more yourself! It's the most important concept of making a good guide. The more you learn, the more you can teach others :)

What do you get from me:

An UPVOTE for your guide ;) I like it and I believe it's exactly how Jax is played.
+rep, cuz I can =P

I stopped playing Jax when they removed dodge, I didn think he was still playable. The only thing I can poInt out is you need to update the counters list and you should add a jungle Jax section, that's where he's best IMO. Also change the title, it isn't just Twisted Treeline.

When reading this guide, I was confused as to whether you were building Jax as AD, AP, or a hybrid. Maybe you could specify which you were building. In addition, maybe you could explain the pros and cons of building AD, AP, or hybrid as another section.

And why is it called "Twisted Treeline Jax"? Is there something different about Twisted Treeline that makes it more viable than Summoners Rift for this build? If not, you could add something about viability in Summoner's Rift.

However, I think this guide is good all-around, but the points mentioned are what stops me from upvoting.

i think that you should have flat ad/ap or dodge for quints. you gte hp from flat ap or ad

swap those fortitude out for some more dodge, or maybe flat ap.

update this

update the masteries please

I do not agree with banshees vail, and this build looks unfinished to me with old masteries.