hi all!
Been playing Trem for about 2 months now, and I played it somewhat during the "Q3 mod"-phase too. Anyhow, I'm an old Q3 defragger and thought I'd give some "tips" about speeding up the movement, mostly aliens (I play on the alien team about 95% of the time so...).
In the About Trem it says
"Realistic physics and motion - no bunny hopping or quick back peddling.", well it's only true to some degree. Basically I think the it's mostly humans who behave slowly. (...and goons, damn slow goons!

) Here's some tips for speeding up movements:
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Bunnyjumping works fine. This is the basics of speeding up movements and is very useful on "large maps with long corridors" (read: Procyon and Arachnid2). To gain speed while bunnyjumping you must take advantage of the acceleration from the strafe-movement (that's why it's called strafe'ing/strafejump). It's a bit technical but basically you hold forward + strafe left, and turn slightly left with the mouse, then switch to right asf... Now this technique is best used by dretches and maruders, goons can use it in combination with poucing (see below). Tyrants shouldn't bother neither should humies... If you don't know how to strafejump, it's alot easier to watch some demos of it than to read about it. Try to find demos from W3SP, one of the best strafejumpers in Q3.
The mouse-movement is the key...-
Moving against walls. This is a much easier technique to master and can be used for all classes, and humies. The only "weakness" is that it's dependent on walls being straight (flat), but on ex. Arachnid2 all walls are. It utilizes the same "strafe acceleration" that strafejumping but doesn't rely on jumping and timing the switch of strafe direction. Basically you just move alongside the wall. Hold down forward, and
strafe againt the wall (ie. if you have the wall to your right, press forward+right strafe). The thing that makes the acceleration is doing this with the
mouse slightly to your left, about 15-20 degrees away from the wall. In principle, when moving straight forward you move in lets say 320ups, when pressing strafe the model accelerates upwards to 380-400ups in towards the strafe-direction. But since you do this against a wall, you can only go forward...so you just accelerate to 380ups moving straight forward...Again, the mouse-direction is the key, 5 degrees of and you wan't notice much acceleration...
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Tyrant trample and doors. It's a total pain in the *ss to begin trampling towards an exit only to be stopped by the door, then you have to charge the tyrant up again. It's a death trap when you get stuck in the door from the pillar room out to the outside on Karith for example. Now, the Tyrant trample is good in that it isn't affected by changes in direction, as long as you don't use the strafe buttons (
pressing strafe left/right kills the trample right off). So, just before hitting the door, turn abruptly to the right (without pressing strafe, only mouse movement) and just as quickly left again... a simple jerk with the mouse usually does it. This gives you just enought time to let the door open slightly and you can then make use of another feature in the Q3 engine; when hitting things, your speed doesn't go directly to 0. So, because the door is already opening (and most doors open in a wink) the tyrant is only hindered by it for like 0.1s and just shoots trough it thanks to the "stop delay". (under some circumstances this technique acctually accelerates you even more, but it's dependent on strafejumping, so it's not possible while trampling...but all classes that can bunnyjump can utilize it, but it's alot more technical...)
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Dragoon pounce-jumping. Most of you certainly know that you can "recharge" the pounce while in the air...So you pounce directly again when hitting the ground. This is really effective as long as you have alot of room (you must jump long and high to get enough air-time to recharge, and you must time the pounces precisely). A much easier way is to utilize the fact that jumping doesn't decelerate the model (no resistance). So to make a goon faster, start with a pounce, and then start bunnyjumping, probably the fastest acceleration there is! =) When you master this fairly simple technique you can basically pounce directly down and jump right away, so you don't need any more space than what is required for jumping. This basically makes goons the fastest class over bigger areas.
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Maruder double-jumping. This has a bit less "extreme" effect, but it can be utilized. Actually I rarely play maruders so I haven't done much "research" on it by you can gain speed but double-jumping with maruders. Jump alongside a wall and quickly wall-jump off it. If done in sync with strafeing against the wall you accelerate quite fast.
Also, when learning to strafejump maruders are alot easier to use because of their long air-time...Most of you probably already knew these things but some of you can learn something for sure!

I 've learned the movements mostly while playing Defrag and competing on
www.speedcapture.com, getting to 2nd place in the promode list, those thing where a bit more technical (ex. q3tourney6_ctf in 1.8s) but you get the idea =)
go kill!