@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.
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.
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 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).
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).)
@@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.
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
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.
Well, I was gonna zone out, but now I wanna know the fundamentals of quantum mechanics.
Quantum mechanics are fundamentally weird
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.
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.
The funny part is that I actually zoned out this whole video and had to rewatch it.
Funny haha or funny as in this milk smells funny? JK nice track, messes with the mind.
maybe a little of both?
Can't see those colors without thinking of Day of the Tentacle.
Nice map!
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).)
Scammers think it's all fun and games until a beekeeper gets involved... {:-)
So TwoFace is a scambaiter? Collab with Scammer Payback when?
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?
I thought kan was gonna make a muscle man quote for a sec😂
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
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
tau > pi and I will hear no disagreement
thanks for the vid
thanks for the comment :D
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Math is both beauty and scam. We talking catfish of the universe.
the best number :)
why is this track so serious
…you know what’s greater than 24? 26.56505117707799 XD
X03 vibes
I somehow didn't like and comment here sooooo here I am 😅
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?
Jonkler
Whoa*
:O
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!”