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chrisbouchard — TI-83+ Graph: Monkey
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Published: 2006-03-25 00:40:28 +0000 UTC; Views: 26600; Favourites: 13; Downloads: 1497
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Description
I've been having fun with my TI-83+ graphing calculator lately, and I thought I'd put up some of the art graphs I've done. This one was originally designed by my friend Luke on a TI-89, but I adapted it to fit on an 83.This is a polar graph. So for those of you who have the calc and would like to give it a try, the equations are as follows:
r1 = {120, 7}cos({24θ, cos(3θ / 2 + π / 4)})
r2 = {5, 12}
r3 = {3, 2}√(cos(2θ))
r4 = 1 / (1 + sin(θ))
r5 = -sin(θ)
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Comments: 32
OK, those equations gave me the monkey, but how did you get the spiral pattern?
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I'm not entirely sure I transcribed r1 correctly, but my calculator batteries are dead at the moment so I can't check. When I graph the first equation from that set (r = 120cos(24θ)) in Grapher on my Mac, it produces the spiral, but much too small.
How does it look if the first equation set is changed to something like:
r1 = {2500000, 7}cos({24θ, cos(3θ / 2 + π / 4)})
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Nope, I found the problem! Where you had "24theta", I put "248". XD Now it works! ^^
Man, I should post some interesting graphs I found ...
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I am trying to graph this but I do not understand the comma parts such as (120,7) and so on.
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On TI-83+, when you have a list of numbers in curly braces ( {...} ), it will be treated as that many different equations, one for each number. I used this trick to save space, otherwise there wouldn't be enough equation slots. So, r1 = {120, 7}cos({24θ, cos(3θ / 2 + π / 4)}) will result in two graphs, r = 120cos({24θ, cos(3θ / 2 + π / 4)}) and r = 7cos({24θ, cos(3θ / 2 + π / 4)}).
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The only thing I can think of is that you need to rezoom (Standard Zoom, then Square Zoom). Switching from Degrees to Radians doesn't fix your θmax or θstep. Other than that, it works for me.
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i always do starnard then square but when i press graph it stays blank and im like wtf becuase i copy excatly what you right
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what do you mean by this θmax=6.283185... <-- 2π the 2pi what do you mean
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For the θmax, you can literally enter 2π, and it will automatically be changed to 6.283185 when you move your cursor off that value. Or you can just enter the number directly. They're equal.
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it dont work for me all i get is circle inside of circles
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I think your calculator is in degree mode. You need to be in radians to graph this. That's an option under [MODE].
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Sweet. That's awesome. I need to find more of these...
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You should use the Reply button to reply to a comment. I get a message because this is my deviation, but otherwise I wouldn't have known you said anything.
The command you're looking for is String>Equ(EquStr, Yvar). EquStr is the body of a function as a string. Yvar is a variable gotten via [VARS] -> Y-VARS. So the first function above would be:
String>Equ("{120,7}cos({24θ,cos(3θ/2+π/4)})", r1)
There's a matching Equ>String command if you want to save the current values. Keep in mind that you should call Polar at the top of your program if you'll be graphing in Polar mode -- most people will probably be in function mode.
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Im srry but im getting confused on the fact that i must put in one line the string>equ(equstr, yvar)
and how do i get to equstr without it having to have something inside of it.
Also Thank you very much for the help and srry for the frustration i may of caused you.
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I'm not exactly sure what you're having trouble with. Perhaps it would be helpful if you showed me some code. The names EquStr and Yvar are just place-holders I used to explain the function call. You don't actually need to use variables with those names. I'm not sure if you knew that or not.
As far as EquStr goes, you can use either a string variable (Str1, Str2, etc) gotten by [VARS] -> 7:String... (The 7 is based on the menu in my TI-83, yours may be different). Or, you can do exactly as I did in my example in my previous reply and use a string literal enclosed in double quotes ("..."). A string literal is a new, write-only string value created just for that one function call and can be used in places where a string variable would be used.
Of course, the only way to set a string variable is to use a string literal ("I am a string!"->Str1). So passing a string variable to String>Equ would require two statements: one to set the string variable's value, and another to call String>Equ. That's why I prefer to just put the literal directly in the call to String>Equ.
I hope this helps. Please feel free to ask more questions if you still are having trouble. I'm here to help.
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Thank you so much it worked.
I miss understood what u were trying to do but now i do. I cant thank you enough neko.
I really appreciate the help you gave.
TY TY TY TY TY TY TY TY TY TY TY TY TY
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You're welcome. Tech support always comes free with my deviations.
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Thank you for the scale.
Do you Know if its possible to put this into a program and if so could you show me how?
thanks for your time
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Wow. I haven't programmed on my TI for a couple years now, but I'm happy to be back. I'll see if I can find something and let your know.
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=neko-mangaka
Hi i wanted to ty u for the equations.
I was wondering is there any specific settings i have need to do it in because for some reason mine doesnt show the whole face.
Can u help?
Ty for ur time.
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You should check your window settings. All my graphs are done in standard square zoom. To do this, first press [ZOOM] and choose 6:ZStandard. Then press [ZOOM] again, this time choosing 5:ZSquare. The menu numbers are based on my TI-83+ Silver; they might be different if you have a different calculator. The net effect is to set the window to:
θmin=0
θmax=6.283185... <-- 2π
θstep=.1308996...
Xmin=-15.161290...
Xmax=15.161290...
Xscl=1
Ymin=-10
Ymax=10
Yscl=1
Again, these numbers are based on my calculator. The key to getting the whole graph is that θ go from 0 to 2π. Happy graphing, and let me know if you have any more trouble.
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This is the first time I've seen TI-83 art on da. Cool.
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The TI-83's art-making abilities have been overlooked for too long!
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That's really cool. Especially seeing as how you did it with a calc. I should try that.
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Not intentionally... Why, did you notice a resemblance?
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no it just seemed like somthing you would do to annoy me, that's all.
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