@supersanttu7951 Yannick said the slopes were 2 sideways and 1 down, which you can drawn as a right angle triangle with two sides adjacent to the 90° angle being 1 and 2 long. In a right angle triangle, the tan of the angle is equal to the opposite side divided by the adjacent side, so: tan(...) = 1/2 where ... is the angle And you can rewrite that as ... = arctan(1/2)
I mulled over how I wanted to put the number in the map for quite some time, just put the long decimal cause A: that's how yannic sent it to me and B: long number funni. Did mull over arctan(1/2) for some time tho
It's known as a "50% grade", which is steep enough to tear your shoes off if they're unlaced (btdt). There are warning signs on highways that are steeper than like 8%, because you might get a runaway semi truck.
I do road construction, and we put slopes in roads as a natural course of building them. We do fractions or % of 90 degrees-based system though. So, this track was made with 2/1 slopes or 25% slopes.
either something isn't clicking in my brain or something is a skewed. not sure how a 2/1 slope is being the same as a 25% slope, as a what my head is gathering a 25% slope would be 22.5° while a 2/1 has a slope of ~26.6°. or is the % just a labeled approximation?
@@cranberrysauce61 you might be right in a sense. Mostly we use the percent and try to get the roads to be about 2% slope to the edges and curbs. We tend to try not to do more than 5%, beyond that, cars will start to slide sideways when the roads are icy. and now that you made me think about it I believe I did my math wrong. 100% would be equal to a 1/1 slope.
Fun math thing to explain pi A circle will always fill the same % of a perfectly fitting square, no matter the size. That being 78.54% So, using the radius to solve for the area of 1/4 of the square, and multipling by pi (78.54%x4=3.1415) gives you the area of the circle. There are two reasons why we don't use 78.54%, 1) multiplying is easier when it's larger than 1, and 2) it works for more equations than the percentage. This helped me understand math a lot more when I knew what it meant rather than it just being an arbitrary number.
Fun fact. If 45 degrees is a nice even number, and it's radian counterpart is a nice number tau/8, and if halving it's gradient makes it not a nice number 22.bla bla bla degrees, then the radian version of that will also not be nice. It's atan(1/2). That's just going to be ugly no matter what you do unless you build a number system around atan(1/2).
5:48 the slope when it goes 0.5 meters up for every 1 meter is arctan(0.5)=26.5650511... degrees When the slope is 45/2 degrees, it goes up tan(45/2)*1=0.41421356... for every one meter. It's basic trigonometry. If it was 22.5 degrees (45/2) for going up 0.5 meters every meter, it wouldn't make sense if you think about it.
Should be half of √5, so about 1.118 (on a normal piece to match a banking piece) or 0.894 (on a banking piece to match a normal piece)? (To find the diagonal, when we've gone two across and one up, we can just use a² + b² = c². That's 2² + 1² = 5 = (√5)². So our normal track is 2 wide and our banking track is √5 wide, and we just need the ratios between them-that's (√5)/2 and 2/(√5).)
@TwoFace- Where in tarnation do you enter this rotation number into the game editor? It's not one of the preset rotation values, so I assume you had to add it to a config file.. but I can't figure out where.
Actually.. nevermind, I think I found it. If you have "Blueprints X" installed, go to Settings > Mods. Then scroll through the mods until you find the Blueprints X section. Inside that, the 12th sub-section is "Gizmo". In this sub-section, there's "Custom R Values" entry, and you can plug the number in there, right between 10 and 30. Don't forget to separate the entries with a ";". and enable the "Use Custom Values" checkbox.
@@animalmango6499 hard to remember them all when there is only 2 that I use consistently, I believe the one I use for the end of the vid is topsy at the top by martin landström... Other than that I'd have to crack open my editor and see the names of the others in there
Why does Kan always try to sound smart when he’s just stating things from the first couple pages of a text book he bought? You are not the smartest guy in the room Kan get over it.
for those wondering, the number is exactly arctan(1/2)
Now I wanna know how you figured that out
@supersanttu7951 Yannick said the slopes were 2 sideways and 1 down, which you can drawn as a right angle triangle with two sides adjacent to the 90° angle being 1 and 2 long.
In a right angle triangle, the tan of the angle is equal to the opposite side divided by the adjacent side, so:
tan(...) = 1/2 where ... is the angle
And you can rewrite that as
... = arctan(1/2)
In degrees, of course.
I mulled over how I wanted to put the number in the map for quite some time, just put the long decimal cause A: that's how yannic sent it to me and B: long number funni. Did mull over arctan(1/2) for some time tho
@@andersberk632 now I feel ashamed for not remembering (relatively) basic trigonometry.
It's known as a "50% grade", which is steep enough to tear your shoes off if they're unlaced (btdt). There are warning signs on highways that are steeper than like 8%, because you might get a runaway semi truck.
7:17 "I want people to zone out" mission accomplished! the changing roads were so relaxing. I was just loving watching the cars glide and rotate
Well, I was gonna zone out, but now I wanna know the fundamentals of quantum mechanics.
Quantum mechanics are fundamentally weird
Yesterday I found out, that a roulette table has the numbers 0-36; and if you add them all up the number is 666.
And in a few years im gunna put it all on black and double my moneys
I do road construction, and we put slopes in roads as a natural course of building them. We do fractions or % of 90 degrees-based system though. So, this track was made with 2/1 slopes or 25% slopes.
either something isn't clicking in my brain or something is a skewed. not sure how a 2/1 slope is being the same as a 25% slope, as a what my head is gathering a 25% slope would be 22.5° while a 2/1 has a slope of ~26.6°. or is the % just a labeled approximation?
@@cranberrysauce61 you might be right in a sense. Mostly we use the percent and try to get the roads to be about 2% slope to the edges and curbs. We tend to try not to do more than 5%, beyond that, cars will start to slide sideways when the roads are icy. and now that you made me think about it I believe I did my math wrong. 100% would be equal to a 1/1 slope.
Fun math thing to explain pi
A circle will always fill the same % of a perfectly fitting square, no matter the size.
That being 78.54%
So, using the radius to solve for the area of 1/4 of the square, and multipling by pi (78.54%x4=3.1415) gives you the area of the circle.
There are two reasons why we don't use 78.54%, 1) multiplying is easier when it's larger than 1, and 2) it works for more equations than the percentage.
This helped me understand math a lot more when I knew what it meant rather than it just being an arbitrary number.
It would be really cool to see you remake an adventure mode track but flatten it out.
For the record TwoFace, we did zone out a lot at that point.
came for the track stayed for the chatting, great podcast!
thats the vibe i aim for :) let the game be the game... great game though it may be
Fun fact. If 45 degrees is a nice even number, and it's radian counterpart is a nice number tau/8, and if halving it's gradient makes it not a nice number 22.bla bla bla degrees, then the radian version of that will also not be nice.
It's atan(1/2). That's just going to be ugly no matter what you do unless you build a number system around atan(1/2).
I was raging over the fact that no one corrected kan
You could express it as an arcsine, if you happened to like arcsines more than arctangents? But that's really just the same thing.
Can't see those colors without thinking of Day of the Tentacle.
Nice map!
Funny haha or funny as in this milk smells funny? JK nice track, messes with the mind.
maybe a little of both?
The funny part is that I actually zoned out this whole video and had to rewatch it.
5:48 the slope when it goes 0.5 meters up for every 1 meter is arctan(0.5)=26.5650511... degrees
When the slope is 45/2 degrees, it goes up tan(45/2)*1=0.41421356... for every one meter. It's basic trigonometry.
If it was 22.5 degrees (45/2) for going up 0.5 meters every meter, it wouldn't make sense if you think about it.
7:13 Starring me binging this week's Zeepkist and then I hit this track that has me turning my phone in a trance😅
Cool to know the angle, but what's the scaling factor to make normal pieces and banking pieces match up?
couldnt tell you off hand, but there is a mod that makes doing that pretty easy
Should be half of √5, so about 1.118 (on a normal piece to match a banking piece) or 0.894 (on a banking piece to match a normal piece)?
(To find the diagonal, when we've gone two across and one up, we can just use a² + b² = c². That's 2² + 1² = 5 = (√5)². So our normal track is 2 wide and our banking track is √5 wide, and we just need the ratios between them-that's (√5)/2 and 2/(√5).)
I actually zoned out to this video real hard.
@TwoFace- Where in tarnation do you enter this rotation number into the game editor? It's not one of the preset rotation values, so I assume you had to add it to a config file.. but I can't figure out where.
Actually.. nevermind, I think I found it.
If you have "Blueprints X" installed, go to Settings > Mods. Then scroll through the mods until you find the Blueprints X section. Inside that, the 12th sub-section is "Gizmo". In this sub-section, there's "Custom R Values" entry, and you can plug the number in there, right between 10 and 30. Don't forget to separate the entries with a ";". and enable the "Use Custom Values" checkbox.
You got it :)
thanks for the vid
thanks for the comment :D
Scammers think it's all fun and games until a beekeeper gets involved... {:-)
I really like the music you used for this! What are the songs called?
Intro song is 12th floor party by Jules Gaia. A lot of the songs on there are his actually. Rest of the names I can't remember right now
@TwoFace- thank you!
@@animalmango6499 hard to remember them all when there is only 2 that I use consistently, I believe the one I use for the end of the vid is topsy at the top by martin landström... Other than that I'd have to crack open my editor and see the names of the others in there
the best number :)
So TwoFace is a scambaiter? Collab with Scammer Payback when?
X03 vibes
I thought kan was gonna make a muscle man quote for a sec😂
Whoa*
:O
Zoning out eh? I'm listening while working on a scrap mechanic map...
Lol, same thing, I just want it to be chill content ya know?
tau > pi and I will hear no disagreement
why is this track so serious
My chat settings were messed up, but I can say even though I had a 1 minute time I beat Kozmo! If that means anything... Love you Kozmo! lol
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Math is both beauty and scam. We talking catfish of the universe.
Jonkler
…you know what’s greater than 24? 26.56505117707799 XD
Don't get scammed kids...
Hello, this is the Google Assistant. The individual you are calling is not currently available. May I ask why you're calling?
I somehow didn't like and comment here sooooo here I am 😅
Messing with scammers is funny, but not as funny as 26.56505117707799 amirite?
OMG THATS HILARIOUS!
Why does Kan always try to sound smart when he’s just stating things from the first couple pages of a text book he bought? You are not the smartest guy in the room Kan get over it.
Sounds like you have a problem just to have a problem there bud. Hope you can get over your insecurities soon!
I told my friend 26.56505117707799 is the funniest number.
They said, “That’s a bit obtuse.” I said, “Nope, it’s very specific!”
Someone should have said he doesn’t even see the code he just sees a spoon 🥄