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| 04 Apr 2015 01:29 PM |
Why not use revolutions?
2*pi = 360 degrees = 1 revolution.
It just seems far more elegant to use revolutions. |
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| 04 Apr 2015 01:37 PM |
Because it's way easier to think of degrees..
print(math.rad(90)) -- turns it 90 degrees
~Commands? Commands. www.roblox.com/Admin-item?id=232183441 |
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| 04 Apr 2015 01:39 PM |
local rev = (function(n) return n*2*math.pi end)
One line. Will automatically convert revolutions into radians for use with Lua, much like math.rad does for degrees.
Punch in rev(1), and you'll get one revolution around the unit circle. rev(.25) is a 90 degree angle. |
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| 04 Apr 2015 01:43 PM |
Still easier to use degrees
~Commands? Commands. www.roblox.com/Admin-item?id=232183441 |
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Wittiest
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| Joined: 02 Mar 2009 |
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| 04 Apr 2015 01:44 PM |
| Anyone who takes trigonometry will know 180 degrees = 1 radian. It is as simple as revolutions to you after that. |
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| 04 Apr 2015 01:47 PM |
a radian is the radius to the circumference 180 ~= 1 raidian I think
~Commands? Commands. www.roblox.com/Admin-item?id=232183441 |
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| 04 Apr 2015 01:49 PM |
@Wit I don't know what you've been smoking, but I want some of that.
1 radian = 57.2957795 degrees 1pi radians, however, is 180 degrees. |
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| 04 Apr 2015 01:49 PM |
there are 2 pi radians in a circle
so
180 degrees = pi radians |
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| 04 Apr 2015 02:03 PM |
Radians become a lot easier when you see this:
http://upload.wikimedia.org/wikipedia/commons/4/4e/Circle_radians.gif |
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| 04 Apr 2015 02:08 PM |
| Ugh. Why use radians OR degrees? Just use gradians. (Jk, I like degrees for easy usage) |
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b6e
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| Joined: 14 Nov 2014 |
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| 04 Apr 2015 02:51 PM |
revolutions > all
wait for AxisAngle to explain... |
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| 04 Apr 2015 02:55 PM |
| AxisAngle doesn't read this place, does he? |
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| 04 Apr 2015 03:14 PM |
I'm not sure if AxisAngle reads these, but I agree with the statement that revolutions > all.
It's very simple. You can think of it as percentage of rotation - 100% being 1, being a single revolution around the object, 25% being .25, being a 90 degree angle, et cetera.
Put simply, it's more elegant than either degrees or radians. Degrees seem broken up into arbitrary integers of units per revolution, while radians are a complete mess to work with in general since they don't round out to any nice clean numbers which are more easily digestible. |
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| 04 Apr 2015 03:47 PM |
| You're just a tao type of person |
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anaIyze
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| 04 Apr 2015 04:01 PM |
| because radians are easier to understand than revolutions |
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morash
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| 04 Apr 2015 07:28 PM |
"a radian is the radius to the circumference"
First time I've ever seen somebody confuse radians and pi. |
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amanda
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| Joined: 21 Nov 2006 |
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| 04 Apr 2015 07:29 PM |
| Behold, AxisAngle shall post. |
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AxisAngle
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| Joined: 16 Jun 2008 |
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| 04 Apr 2015 07:29 PM |
| Revolutions are better than all when thinking about angles. In order to describe degrees, you need to work either in terms of revolutions and define degrees as "There are 360 degrees in a circle" Or you have to define degrees in terms of radians "It takes 180/pi degrees to travel a distance of 1 around the outside of a unit circle (radius = 1)", so degrees are a secondary way of describing an angle. |
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mycheeze
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| 04 Apr 2015 07:32 PM |
Axis the math god has come to confirm revolutions is key
I t0tes h8 numbers so I wouldn't care <3 |
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AxisAngle
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| 04 Apr 2015 07:34 PM |
| Radians are > than all for actually working out math. They're also the natural way for describing an angle. If you have a circle and you know its radius, and you have an angular velocity of 1 radian/second, then it will roll across the ground at a speed of 1 radius/second. Yeah. Pretty cool, huh? That's not a coincidence, either. |
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mycheeze
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| Joined: 27 Jun 2011 |
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| 04 Apr 2015 07:36 PM |
Axis bb, y must u blow 0wr minds wiff ur math 2 make us feel inadequate
do u enjoy torching me bb? |
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AxisAngle
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| 04 Apr 2015 07:36 PM |
Tau is the best unit for describing angles. It's 1 rotation, calculated with C/d. When working in revolutions, if you want 1/3rd of a circle, just say Angle=1/3*tau. You never need to use functions like rad(revolution) or deg(radian) or rad(degree) again.
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AxisAngle
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| Joined: 16 Jun 2008 |
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| 04 Apr 2015 07:37 PM |
Okay. Time to rip degrees.
Degrees, on the other hand, are defined in a completely arbitrary way. 360's only special property is that lots of numbers divide into it relative to its size (24 divisors)
1/15th of all numbers less than or equal to 360 divide evenly into 360.
But relative to its size, there are other numbers which are better than 360, like 12. 1/2 of all numbers less than or equal to 12 divide into 12. But the best number is 1. ALL numbers less than or equal to 1 divide into 1. So 1 beats 360 at its own game.
And if you want even more divisors, we can make a much better number than 360 for having tons of divisors.
2^4 * 3^3 * 5^2 * 7^1 = 75600, which has 120 divisors. |
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mycheeze
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| Joined: 27 Jun 2011 |
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| 04 Apr 2015 07:39 PM |
| This math wizz is freaking me out, pls sed8 me b4 I go bonkers |
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