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Math formula that reproduces itself on a graph
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Jan 19, 2007, 04:25 PM
 
Tupper's Self-Referential Formula -- from Wolfram MathWorld

I'm not very good at advanced math, I'll admit, but if this isn't a farce, then it's pretty cool.
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Jan 19, 2007, 04:35 PM
 
That's a big value for n.
     
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Jan 19, 2007, 04:37 PM
 
I have no idea what that means. Does the formula make the graphing program draw that graph or what ? weird

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Jan 19, 2007, 04:55 PM
 
From the sounds of it, the formula, when graphed, looks like it does on paper.
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Jan 19, 2007, 05:01 PM
 
Wow. I have absolutely no idea whatsoever how the hell a formula can graph something like that, much less how someone actually came up with that five hundred thousand digit number to insert for n, in order for the formula to graph that; but wow nonetheless. Very strange.

Of course, it could very easily be fake, for all I know. I wouldn’t have any possible means of checking.
     
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Jan 19, 2007, 05:42 PM
 
Didn't OS X come with a graphing calculator at some stage? Or was that just in a beta version? Note that I'm not talking about the OS 9 graphing calculator.

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Jan 19, 2007, 05:51 PM
 
     
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Jan 19, 2007, 05:52 PM
 
Originally Posted by - - e r i k - - View Post
Didn't OS X come with a graphing calculator at some stage? Or was that just in a beta version? Note that I'm not talking about the OS 9 graphing calculator.
Check your Apps/Utilities directory.
     
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Jan 19, 2007, 05:54 PM
 
Originally Posted by - - e r i k - - View Post
Didn't OS X come with a graphing calculator at some stage? Or was that just in a beta version? Note that I'm not talking about the OS 9 graphing calculator.

yeah, it's called "Grapher"

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Jan 19, 2007, 06:36 PM
 
Originally Posted by brassplayersrock View Post
yeah, it's called "Grapher"

Alex
Hmmm. Must have removed it for some reason. It's not on any of my Macs.

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Jan 19, 2007, 06:41 PM
 
     
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Jan 19, 2007, 08:17 PM
 
Originally Posted by Ghoser777 View Post
I read those comments too. Was that English?
     
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Jan 19, 2007, 08:40 PM
 
It's not that bad - raldi's post really exposes how easy this is.
     
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Jan 19, 2007, 08:56 PM
 
First, this is impressive. Second, this guy needs to find something else to fill his free time.
     
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Jan 19, 2007, 09:53 PM
 
Anyone want to pen that in so we can copy and paste it into Grapher? Or how about a saved file.
     
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Jan 19, 2007, 10:20 PM
 
Originally Posted by Buckaroo View Post
Anyone want to pen that in so we can copy and paste it into Grapher? Or how about a saved file.
I tried it, but it doesn't work. I suck at math

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Jan 19, 2007, 11:07 PM
 
I entered the formula in Grapher, but I don't know what I'm doing and it return a bunch of errors.

What I know for sure is that the formula reads "pow pow" when viewed upside down.
     
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Jan 19, 2007, 11:40 PM
 
Originally Posted by - - e r i k - - View Post
Hmmm. Must have removed it for some reason. It's not on any of my Macs.
Same here, only the preference file shows up when I do a search.

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Jan 20, 2007, 12:06 AM
 
Originally Posted by Ghoser777 View Post
Haha, LOL, you are right.

This is just short of a scam.

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Jan 20, 2007, 08:49 PM
 
Given the length of 'n', it is possible that Tupper architected a number-to-bitmap function (Tupper's formula), and calculated the number 'n' so that it would plot the formula.

'n' is about 455 digits long, meaning that it can be represented with about 1500 bits. Was it a coincidence that Tupper's plot is about 1500 pixels total? My opinion is that the whole trick was designed, not discovered.
     
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Jan 20, 2007, 09:39 PM
 
Originally Posted by - - e r i k - - View Post
Hmmm. Must have removed it for some reason. It's not on any of my Macs.
*sniff* mmmmm, I love the smell of non-fresh installs of OSs in the morning.


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Jan 20, 2007, 10:08 PM
 
Originally Posted by The Godfather View Post
Given the length of 'n', it is possible that Tupper architected a number-to-bitmap function (Tupper's formula), and calculated the number 'n' so that it would plot the formula.

'n' is about 455 digits long, meaning that it can be represented with about 1500 bits. Was it a coincidence that Tupper's plot is about 1500 pixels total? My opinion is that the whole trick was designed, not discovered.
LOL, you are on to something. Read this link:

Originally Posted by Ghoser777 View Post
-t
     
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Jan 21, 2007, 04:22 AM
 
'n' is about 455 digits long, meaning that it can be represented with about 1500 bits. Was it a coincidence that Tupper's plot is about 1500 pixels total? My opinion is that the whole trick was designed, not discovered.
Well, of course it was designed for that specific purpose; the thing I found amazing was how (or why) the hell anyone would/could manage to calculate that 455-digit value. How the hell does one do that?
     
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Jan 21, 2007, 08:49 AM
 
Originally Posted by Oisín View Post
Well, of course it was designed for that specific purpose; the thing I found amazing was how (or why) the hell anyone would/could manage to calculate that 455-digit value. How the hell does one do that?
Read the link above. It's actually just some simple lines of code.

People can code anything into that n value. It's really nothing more than a small b/w TIFF.

-t
     
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Jan 21, 2007, 09:02 AM
 
Read the link above. It's actually just some simple lines of code.
Okay, read it a second time, and I think I’m sort of a little closer to maybe having a small inkling to how it might possible be working...

Yeah, I’m a math idiot.
     
   
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