NOTE: I did get the basic monk gist early on, but it was by Cheapy's Dragon Alchemonk that made me decide this wouldn't be half-bad as an Alchemonk either.
I wanted to discover a way to deal as much damage as possible. Usually, when you think of this, you go all heroic and think of number of attacks, and individual damage. However one must remember that you are more often than not with a group, and honing their ability to attack, as well as yours, would be key for optimizing damage. Thus I write you this build.
Now when thinking of honing the party's damage as a whole, the first thing that comes to mind is attacks of opportunity. The usual trigger to an AoO is either movement or spells. However this build relies on another trigger: Standing Up from Prone.
To get someone prone, the instinctive thing to do whether in game or in real life is to trip them. In order to get as much AoOs as possible is to trip as much people as possible within a given round. Trips replace melee attacks. And what character has more melee attacks than the monk?
Ok. What you want to be is an Ancestral Arms Half-Elf. You need the bonus feat for Exotic Weapon Proficiency (9-section whip). This weapon is usually a one-handed weapon at 1d8 with blocking, distracting, monk, and trip weapon descriptor. If you make it large however, it becomes a two-handed weapon with 2d6 damage This is higher than your Unarmed Strike damage until level 12, wherein it will equal the said damage until level 15. Your starting stats must be in this order: Str>Dex>Wis>Int>Con>Cha.
Level 1. You take this to Flowing Qinggong Monk. Take Improved Trip for your bonus feat. Other than that, you should also have Improved Unarmed Strike and Exotic Weapon Proficiency. For your level 1 feat, I'd suggest Fury's Fall (add Dex to Trip CMB). Note that other than the usual Trip, you also have Redirection, which is basically Trip as a melee counter-attack.
Level 2. Vivisectionist Ragechemist Alchemist. Congratulations. Sneak Attack. Also spells. Preferably for Enlarge Person. That's more damage and reach. One more thing. Mutagens. Strength, Strength, Strength. This is your friend.
Level 3. Back to the Monk. Nothing really special. Just chaining to Monk 3. Also take Weapon Focus. More accuracy!
Level 4. Monk again. This time, you get a higher CMB. That's great! Depending on whatever stats you generated, place your new stat point wisely.
Level 5. Monk. Now your Qinggong side shows. You've got Ki Pool, which allows you one more attack with flurry of blows, and Slow Fall, which you should replace with either Barkskin or Scorching Ray. Feat should be Power Attack.
Level 6. Back to the Alchemist. Rage Mutagen. Your Strength Mutagen is now stronger for the price of possible Will and Intelligence damage. Remember to prize your AC. It is now more important than ever. This is the real reason why Wisdom and Dexterity are high in the charts. Supposing you had 10 Intelligence. 5 rounds of damage and you're comatose. It's also important to note that your job is to surround yourself with as much enemies as you can trip within one Flurry of Blows and trip them all. For a discovery, I guess you could get Vestigial Arm (Could come in… handy. *wink*) or Tumor. There's no available discovery that could help our build at the moment.
By now, you should get the point of this build. Trip things when you can. Attack things when you can't. Remember that this build seems to neglect defense. It'd be wise to pick things up like Iron Will, Dodge, and Toughness. Magic items could also help here, as well as those Formulae or defense-based Qinggong abilities.
If neither class seems to get you going, grab some Fighter Levels. I'd go Barbarian if we could, but non-Martial Artist Monks can be Barbarians. Grab a level of Master Chymist too. The more Mutagen, the better.
Some more good feats would be Greater Trip, Quick Draw, Furious Focus, and Ki Throw.
That's about it. I'll try to get to a 20 level rundown as soon as I can. :)