Im so confused!

[teh_n00b_root]

Ive been obsessed with this all day. I think i may have discovered a new mathmatical theory. I havent found traces of this anywhere on the internet. It is already probably a theory but id like to make sure
The theory goes:

Take 2 consecutive triangle numbers

3,6 (or any it works with all of them)

3*3 (3 squared) =9
6*6 =36

the difference between theese is 27

27 = 3*3*3 (3 cubed)

So take two consecutive triangle numbers square them and find the difference and you are left with and you will have a cube number.

The strange part for me is what then is a cubed triangle? A tetrohedron? A freaky 4d shape? But Ill stop rambling.

So does anyone know if this is already a theory? Or is this still unclaimed territory?

 

[Julianking93]

You just blew my fucking mind, man.

OT, you may be on to something, but I'm not a mathematician, so I can't really help you.

 

[delet]

Uhm, I don't think you mean 'triangle', but it's any number divisible by 3, so it'd go 3,6,9,12,15,18, etc, correct?

In that case, the answer is always divisible by 3... I'm not really sure that constitutes a mathematical principle though...

 

[ribonuge]

What are you doing telling us you madman? Get out there and get credit for this. Or ask a trustworthy maths professor of some kind to see if it viable. You could get a Nobel prize or even better, a slice of cake. But no ordinary cake, it has the power to make you shoot sparks from your ears. I am going to stop now.

 

[teisjm]

6*6 = 36
9*9 = 81
81-36 = 45

6*6*6 = 216

Eitehr you're wrong and haven't tested this with mroe than one number, or i don't understand what you're saying.

 

[teh_n00b_root]

Uhm, I don't think you mean 'triangle', but it's any number divisible by 3, so it'd go 3,6,9,12,15,18, etc, correct?

In that case, the answer is always divisible by 3... I'm not really sure that constitutes a mathematical principle though...

No i mean a triangle number (1,3,6,10,15,21 ect)

6*6 = 36
9*9 = 81
81-36 = 45

6*6*6 = 216

Eitehr you're wrong and haven't tested this with mroe than one number, or i don't understand what you're saying.

You realise 9 isnt a triangle number? Its 2 consecutive triangle numbers (e.g. 15,21) squared then you find the difference of the squared triangles and its is always a cube number.

 

[Zacharine]

Snip

You mean triangular number, T= n(n+1)/2

EDIT EDIT^2: Thank you teisjm for reminding me: GIS, or Google It Stupid.

Triangular number, wikipedia. All already there.

By Einstein do I feel stupid for trying to do that manually instead of just googling it up...

 

[teisjm]

Uhm, I don't think you mean 'triangle', but it's any number divisible by 3, so it'd go 3,6,9,12,15,18, etc, correct?

In that case, the answer is always divisible by 3... I'm not really sure that constitutes a mathematical principle though...

No i mean a triangle number (1,3,6,10,15,21 ect)

6*6 = 36
9*9 = 81
81-36 = 45

6*6*6 = 216

Eitehr you're wrong and haven't tested this with mroe than one number, or i don't understand what you're saying.

You realise 9 isnt a triangle number? Its 2 consecutive triangle numbers (e.g. 15,21) squared then you find the difference of the squared triangles and its is always a cube number.

Ok i guess i mistook what triangle numbers are, i thought you ment numbers divideble by 3, my bad.
BTW, after looking triangle numebrs up, to see what they actually was, i found wiki.
before you all blow your mind trying to figure a formula, you might wanna see, if it's alrady here
http://en.wikipedia.org/wiki/Triangular_number

 

[silver wolf009]

I dont know but it sound like you might have something here. Math has no 'founder' you might just have the next pathogreom therum.