Movement and Physics
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Climbing without Climbing

By: Nitley#3485 Addded: 04/05/2021
Finding: After familiarizing myself with the technique of b-hopping in the first week of Genshin's official release for the purpose of re-roll AR7 speedruns, this would quickly become my exclusive means of travel. This led me to discover an alternative faster method of scaling near-vertical walls (without climbing or consuming stamina at all).
Evidence:
Significance: Can make virtually any travel quicker, whether you're mob farming around your world, crystal farming, or getting character ascension mats etc etc..

Movement Techniques and Player Model Comparisons

By: Nitley#3485 and Kourinn#6001 Added: 04/10/2021
Theory: What is the fastest movement technique for both short distances and long distances? Do movement speed buffs produce non-linear scaling for different character model sizes?
    Short Distance = The distance you're able to sprint with 1 full bar of stamina (assuming 240 max).
    Long Distance = The distance traveled by sprinting with a full bar of stamina and continued travel until complete stamina regen.
Evidence: TIme stamps available in spreadsheet + video descriptions
Significance:
The fastest movement technique for a short distance is to chain dashes together with equal spacing between them with an adult male as they have the biggest strides. This will ensure your dash has more uptime than simply dash spamming. For long-distance you will do the same, dash chaining with maximum dash uptime on an adult male then switching to a teen male for the last dash of your stamina charge and chaining b-hops from thereon.
Demonstration: Youtube
A 10% movement speed buff does not cause b-hopping with other model types to be faster than a teen male with the same buff. However, I am still yet to test 20%/20% effects although not expected to change either.
The Math: Comes to the same conclusions as the empirical tests above.
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Stamina Cost Reduction
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Anemo Resonance : 15%
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Kaeya Passive : 20%
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Food : 25%
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=
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Total : 50%
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===
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Base dash stamina cost : 15
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Effective stamina cost : 7.5 (after Stamina Cost Reduction)
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Stamina capacity : 240
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Effective stamina capacity : 225 (cannot dash at/below 15 stamina regardless of stamina cost reductions)
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Stamina regen delay : 1 sec
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Stamina regen rate : 30/sec
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Full stamina dash count: 225/7.5 = 30
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Full stamina regen duration: 1s + (225/30)s = 8.5s
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not-sprinting test = sprinting * 1.3 = 15:45 (needs more testing to verify)
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===
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velocity = distance / time
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v(b-hop) = 1000 d / 9:47 f = 1.7035775127768313 d/f
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v(dash-chain) = 1000 d / 9:12 f = 1.8115942028985508 d/f
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v(not-sprint) = 1000 d / 15:45 f = 1.0582010582010581 d/f
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===
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distance = velocity * time
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30s * v(dash-chain) + 8.5s * v(not-sprint) = 63.34253508166552 d
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38.5s * v(b-hop) = 65.58773424190801 d
Copied!
B-Hopping should be 3.5% faster than dash-chaining, waiting for full stamina, and repeating.

Push Pull effects

By: Saltyfart#8946 Added: 5/23/2021 Discussion
Finding: push/pull effects are dynamic across team members
Evidence:
Across these 3 videos, there is a consistent interaction of a push effect being generated on Venti, which is then completely nullified when Venti is switched off-field. The timing of the character switch is varied between the clips, but the result is the same.
Practicality of this? Ehhhhhh, there are only two enemies I can think of that generate a force while not knocking the player to the floor- which are the anemo samachurls and Boreas during his 2nd phase cutscene.
In this clip, character swap ended up making the pull effect reapply for each character swapped in rather then nullifying it. Character swapping inside the little whirlwind made the pull stronger rather than weaker lmao.
We can also see here that the boreas wolf push also applies multiple instances of pushes rather than a single big push, making the character swap ineffective here too. At this point, I realized that the devs probably knew players would probably find a method to negate push effects, so push effects were coded in a way to prevent negating them.
Significance: Maybe when Mihoyo adds an enemy that does a single instance of a push vs the player (which would probably never happen)- this information could be helpful. But outside of that, the only significant thing here to learn is don’t switch characters while you are in an anemo samachurl pull /or against any other enemy that spams a push effect in the future I guess.

Cliff Dash Displacement

By: Mcpie#8672 Added 6/3/2021 Discussion
Methodology/Evidence:
Test consists of 9 different positions next to a "launchable" cliff, each of them separate by two single 'taps' forward using Diona (except for the last #9 which is a single tap due to not enough space). After marking both the starting and landing position of each character, it is clear that dash-off velocity is not linear and could reflect your character's velocity at the moment it loses it's ground.
Comparison from top (screenshots) for each position - https://imgur.com/a/Sr311lx Comparison by position - https://imgur.com/a/9kHirR3 Comparison by character - https://imgur.com/a/XZu1Qni Raw video (timestamps in description) - https://www.youtube.com/watch?v=D2km0PDWnVA
Results depending on position:
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1: Diluc -> Bennett -> Ningguang -> Qiqi -> Sucrose
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2: Diluc -> Bennett -> Ningguang -> Sucrose -> Qiqi
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3: Diluc -> Bennett -> Ningguang -> Sucrose -> Qiqi
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4: Diluc -> Bennett -> Qiqi -> Ningguang -> Sucrose
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5: Diluc -> Bennett -> Qiqi -> Ningguang -> Sucrose
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6: Diluc -> Bennett -> Qiqi -> Ningguang -> Sucrose
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7: Diluc -> Bennett -> Ningguang | Qiqi -> Sucrose
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8: Diluc -> Qiqi -> Ningguang -> Bennett -> Sucrose
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9: Diluc -> Ningguang -> Sucrose -> Bennett -> Qiqi
Copied!
Significance: Might help when deciding in overworld traveling which character would be best to dash off a cliff with depending on your position from the cliff. This explains why, despite visually having similar character heights, teen female models can't initiate dash-jump-plunge on flat surface against vast majority of enemies while teen male models can.

Waypoint Teleport Variance

By: Mcpie#8672 Added 6/3/2021 Discussion
Finding: Two possible findings:
    Teleporting to a waypoint does not always teleport you to the same coordinates
    Dashing off a cliff horizontal velocity might be dependant on current character action, like idle animation, idle jump or a character switch.
Evidence: Two videos of Zhongli (a lot of takes) dashing from the top of Qingyun Peak (waypoint) without prior movement resulted with landing in locations separated by < 1m.
Image 1: Consistent landing location (>20 attempts, almost always in this spot)
Image 2: Location that is a bit further than the landing spot from image 1
Additional video showing 4 adult male models, landing location very rarely differs: https://youtu.be/QPR38O5yM7M
Significance: Might skew the results from Cliff Dash Displacement.

Movement Speed affects Dashing Horizontal Velocity

By: Mcpie#8672 Added: 6/8/2021 Discussion
Finding: Movement speed affects dashing-off a cliff horizontal velocity
Evidence: 5 tests, each following these steps:
    1.
    Teleport to Qingyun peak with Kaeya
    2.
    Once there, teleport to the waypoint again
    3.
    Click "dash" and wait for Kaeya to land
Tested movements speeds: 1. 0% 2. 10% - Anemo Resonance 3. 10% - Rosaria passive 4. 10% + 10% = 20% - Anemo Resonance + Rosaria passive 5. 10% + 10% + 24% = 44% - Anemo Resonance + Rosaria passive + R5 Skyrider Sword
Raw video evidence (no timestamps): https://www.youtube.com/watch?v=C69T4AwkJGE

Character Hitboxes

By: HK#0001 Added: 6/8/2021 Discussion
Finding: Character hitboxes extend beyond their model until the weapon floating behind their back. Their front hitbox is of roughly equal size to their back hitbox, the exact bounds are just a bit larger at a similar dimension to Zhongli's Shield radius.
Evidence: Shots from ranged enemies seem to register beyond the character model until the floating weapon behind the unit’s back. For example, when the Pyroslinger shoots at the gap between Ganyu’s back and her floating bow, it apparently hits. Secondary test with a ranged hilichurl.
Significance: By knowing this, hopefully we can have a better understanding about how far the hitbox of our character model reaches. While this is certainly niche, this can possibly give some people that wants to do a meme run with their character such as a no damage run, an advantage with this findings.

Swimming Methods

By: Fuzzy#5432 Added: 6/24/2021 Discussion
Finding: Tapping shift while swimming has a stamina cost that is only a little higher than not holding shift, but the swimming speed is almost as fast as holding shift. (Project inspired by u/lightmgl on Reddit)
Evidence: Video
Significance: Get around Teyvat faster! Though not holding shift while swimming is the most stamina efficient and holding shift while swimming is the fastest, tapping shift at even intervals will offer the best of both methods: a relatively fast, stamina-efficient way of swimming

Move Speed Increases Jump Height and Double Anemo Allows for Plunge Attacks

By: Risuke#6743 Added: 12/14/2020
Evidence: Video 1 Video 2
Significance: Having increased movespeed is now potentially practical. It allows an additional action to be performed alongside NA and CA. This may allow characters with weaker NAs to perform better.

Infinite Dashing and Catapulting off cliffs(Translation)

By: KluEvo#8507 Added: 08/20/2020
Finding: Double dashing with pauses can allow for infinite running. Dashing off of clifs can allow for faster fall.
Evidence: Google Doc
Significance: Faster Travel.

Extra velocity gained when hit

By: Hatsuharufag#4291 Added: 01/18/2021
Finding: You gain extra velocity from enemy hits when you jump. This velocity can be used to initiate jump attacks even when normally they should be impossible.
Evidence: Video 1 I'm using the worst character model for plunge attacks, female(teen). Female(adult) and both male models get more air time and so have easier time executing plunge attacks. Video 2
Significance: Yet another way to initiate plunge attacks on even ground.

Max enemy mvsp decrease

By: Recovent#9620 Added: 08/31/2021 Discussion
Finding: There is a limit to how much movement speed decreases one can do onto a mob. The limit seems to be an approximate of 80~85% decrease.
    Adding up the different movement speeds, you would get a decrease of 150% speed with the usage of the Charity tower, Glacial bloom, and Banishment tower. However, this is not the case here. It seems that after a certain point the mob will not have their speed decreased. (This note was assuming additive decrease)
    Although the enemy's movement animations are slowed, and can be seen as though they are going through a slowed time; their knock back effects and being attacked animation's speeds are not changed (can be seen in the first two video links)
    Descriptions of speed decrease don't always match what they actually do
    Different sources of movement speed can conflict with each other differently than a similar type
    The slowness follows a log curve when following the highest movement speed stacking as a base, however, follows (loosely) an exponential decrease when simply following descriptive movement speed decrease.
    The maximum seems to cave towards 80~85% (82% being closer towards the max.) So unless there is a much much higher movement speed decrease skill, getting anywhere close to 80% movement speed decrease is nigh impossible without at least another movement speed decrease debuff.
    Speed increasing skills stack alongside these, although this is outside of the scope of this TC, it can be seen with the samuchurl in the first stage being sped up while being in a slow down tower.
    Frame = .033ms for my video editor, thus the frames counted may be within +-.17ms off (unless otherwise stated)
Evidence: The first 5 are mainly visuals with numbers made through previous attempts to make a formula: Youtube - (Two Tower; “90%” reduction) Youtube - (Three Tower: “150%” reduction) Youtube - (Combinations tested) Youtube - (Comparison of 70% and 90%) Youtube - (Most likely multiplicative when multiple mov. decrease are stacked with each other) Youtube - (Frame counted and placed as SPM (Steps Per Minute.) The sheets below shows the overall data.)
Spreadsheet - Sheets with contradictions for any specific formula for movement speed decrease on mobs and slightly conflicting information for certain movement speed decrease towers. Also contains graphs of best fit.
Significance: If there were ever characters that were able to decrease mob speed (and almost likewise, character speed from mobs) then without a bind, a freeze status, or similar, mobs will only be slowed and never not be able to ‘stay put’ or be unable to physically move.
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