Base9se I'm calling you out!

[Doomed2Walk]

I've been staring at your signature and trying to figure out how that works. Do you know? Where can I get that? That's crazy.

[KDashy]

64 = 65

[Doomed2Walk]

Bah, mindgames! I need to know how the 64 turns into 65 or I'll go crazy.

[Cyberkreig]

try and cut it out of paper. its faked, you get the extra one along the long diagnal centerline. If you spend the time to do the math you will find the angles are not complimentary.

[ILikeMy240sx]

I thought that happened because even with the same amount of lengh used, Area of square and a rectangle is always different.

Say you have 20 ft of wire. if you make a 5x5 square, you get a total area of 25 but if you make 4*6 rectangle you get an area of 24. In both cases same amount of 20ft wire was used.

I dont know if that logic is correct but... im sure the animation is playing some sort of tricks

EDIT: If my logic above was the case then according to that logic, the animation should have ended up with the same amount of length but it doesnt. So it's doing something weird. It starts with 8*8 so the total amount of "wire" used is 32 but somehow it transforms into 5*13 rectange which uses total of 36 unit wire. You cannot somehow end up with more material. In both cases the amount of material used has to equal but in animation it does not so its playing tricks...

[Cyberkreig]

you are talking about maximizing area of a rectangle ( squares are rectangles) given a certain perimiter. There are forumals for this, but i'll be damned if i can remember them.

That is very different from claiming that 64 sq.in. = 65 sq.in.

[ILikeMy240sx]

yea i dont know if i remember this but you have to take the equantion A*B and find the derivative of this to see at which point its maximized. So both A and B has to be interms of same variable...

A,B is the length of rectangle

[SeVa-S13]

I think it's about the rearranging of the cut squares when the lines are drawn.

[nismofly]

i love it how base9se still hasnt come yet but were sitting here discussing it, its a very interesting idea, but the animation goes to quick to really sit down and write it all, youd have to watch it over and over

[madbouncy]

You can really just look at it and you'll notice the 5x13 one doesn't look right. They use the outline to through off your eyes so it looks like it's lined up. But you can tell that like where the blue and the green lines hit, the blue is a tiny bit lower than the green horizontal lines. Like he said, the angles aren't the same so they don't match. Plus the red and green have a gap on them, even though when it originaly cuts them, they're flush. It's kind of like the thing where it has the checker board like thing and it asks if the lines are strait, but your eyes **** up and it looks like they bend, it's the same thing, your eyes try to make them match.

That's about all I can gather from it. Though I also spent an hour making a torque curve I drew into an equation, the making that equation into the horsepower equation and then doing the integral of it to find out which area would be best to shift for. This way it would use the gear ratios to see how wide of a segment it would have and then look at which would make the most power. yeah, I was really bored in calc. Didn't finish though, because the one I drew was meant to shift at redline, so I'm just going to do it again with a dyno from online for a stock 240sx with a ka24de

[base9se]

i love it how base9se still hasnt come yet but were sitting here discussing it, its a very interesting idea, but the animation goes to quick to really sit down and write it all, youd have to watch it over and over

hey, hey hey! I just got back from work. Anyways it does not work out. It's just a mirage. Let me prove it to you. This is 64 square units

Now, below is 65 square units. See the gap, therefore 64 does not equal 65!

[nismofly]

haha there he is

actually the first thing that caught me was the lettering, then i stuck around to watch it and i was like...what? lmao

[Doomed2Walk]

Ahhh, you can see it in you sig if you look close enough. All the numbers and everything was adding up, but if you cut it out there is a gap. Pretty cool, if you don't mind telling me, where did you find that thing?

[base9se]

Here you go.. http://www.manzonderkop.be/Post/?P_ID=2980 I saw it somewhere else though, I can't remember where. But this one is close enough.

[InsanityInc]

the way you maximize the area for a fixed perimiter is:P = fixed perimiter

Asq = L * WP = L + L + W + W2W = 2L - PW = (2L - P)/2Asq = L * ((2L - P)/2)Asq(L) = (2L^2 - LP) / 2Asq'(L) = 1/2 * (4L - P)Asq'(L) = (4L - P) / 2(4L - P) / 2 = 0L = P/4Asq'(L) = 0 @ L = P/4Asq''(L) = 2, so L = P/4 is a max value

Meaning that for a given perimiter, the maximum area occurs when you make a square. Somebody asked up in the start of the thread, so I figured I'd answer it.

[Doomed2Walk]

Eh, didn't understand any of that. :X

[base9se]

Eh, didn't understand any of that. :X

Derivatives my friend...A' or A prime = maximum critical point (in this case)Why? because when A''< 0 then L0 is at a relative maximum, which in this case A'' = -2

[nismofly]

haha i hate derivatives so much, im doing them right now in calc, and its the entire course

[base9se]

you must only be in calculus 1. Next you'll be integrating. Fun, fun, fun. You master those...then here comes differential equations. Make sure you know all you derivative & intergration formulas. Hope your not one of those who rely on their calculators to do derivatives & integration.

[nismofly]

nope were not allowed to use calculators for anything, no matter what

however, this is the only math i have to take in college, unless i decide to minor in engineering or something, and its looking like a 99% chance im going us history for my minor

[base9se]

that's good. at least you're not depending so much on a calculator.

[madbouncy]

I can't believe we're actually having this thread, I refuse to acknowledge the use of calculus in the real world to defend my lack of paying attention in class. The sad part is how much of it I understand, damn you teachers.

[base9se]

[usdm_180sx]

I can't believe we're actually having this thread, I refuse to acknowledge the use of calculus in the real world to defend my lack of paying attention in class. The sad part is how much of it I understand, damn you teachers.

Well, the damped sine function is what is responsible for being able to drift using coilovers. Anyone know the integral of e^x^2?

[hannibal]

(e^x^2)/2x

[madbouncy]

The derivative for e^x^2/2x is like e^x^2(2x^2-1)/2x^2. Only way e^x^2/2x would solve into that is if you ignore the chain rule. Not sure if that's exactly right but I know that wouldn't work. It's oneo f those equations that you're better off looking up into a table. YOu need to do the joyful double integration. And since you're in a car forum, you're probably not going to find that many people that are willing to go through that just for fun. Now, if that was p0rn, I'd be all over it.

[hannibal]

Crap, youre right.That would involve integration by parts. Thats way more than I remember...

[base9se]

(e^x^2)/2x

That's wrong...partially correct though for the most part, but the true answer is (e^(x^2))/(2x) + C

[hannibal]

My Calc 1 professor would have only given me half credit for that answer. He only gave full credit, half credit, or no credit. Still haunts me to this day...

[base9se]

that C will haunt you.... Had a 99 on a test because I forgot to put that constant...he did it just to irritate me. Cool professor though.