+0  
 
0
685
8
avatar

Phi to the power of 4?

 Dec 30, 2014

Best Answer 

 #3
avatar+94558 
+10

Sorry, rosala...I should have explained more....Phi is the irrational number (1 + √5) / 2   ≈ 1.61803398874989485

If you have regular pentagon of side length = 1, then the length of one of its diagonals turns out to be "Phi"

Also....if you're familiar with the Fibonacci Series.......as the series grows larger, the ratio between a successive term and its preceding term tends towards Phi....!!

Athough you probably have enough studying to do in school....here's a whole website devoted to Phi....http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/phi.html

(You may find it interesting to just look at a little of it at a time...!!!)

 

 Dec 30, 2014
 #1
avatar+94558 
+5

1.61803398874989485^4 = 6.85410196624968457504

We could have also found this by summing ..... 1.61803398874989485^2 +1.61803398874989485^3........since Phi has the interesting property that Phi^n + Phi^(n + 1)  = Phi^(n + 2)......!!!!

 

 Dec 30, 2014
 #2
avatar+11854 
+5

CPhill!whats "Phi"?

 Dec 30, 2014
 #3
avatar+94558 
+10
Best Answer

Sorry, rosala...I should have explained more....Phi is the irrational number (1 + √5) / 2   ≈ 1.61803398874989485

If you have regular pentagon of side length = 1, then the length of one of its diagonals turns out to be "Phi"

Also....if you're familiar with the Fibonacci Series.......as the series grows larger, the ratio between a successive term and its preceding term tends towards Phi....!!

Athough you probably have enough studying to do in school....here's a whole website devoted to Phi....http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/phi.html

(You may find it interesting to just look at a little of it at a time...!!!)

 

CPhill Dec 30, 2014
 #4
avatar+11854 
+5

Thats really interesting CPhill!

 

Thank you!

 

 Dec 30, 2014
 #5
avatar+360 
0

1.618*4=6.472

 Dec 30, 2014
 #6
avatar+360 
0

I think thats right...

 Dec 30, 2014
 #7
avatar+360 
0

Of course Chpill took the more detailed version but both statements are correct.

 Dec 30, 2014
 #8
avatar+95360 
+5

I am sorry NotTheBestMathMaster but your answer is not correct.

phi to the power of 4  is  phi^4

this is different from phi multiplied by 4 which is  phi*4

-------

I shall show you on some more every day numbers.

3^4 = 3*3*3*3 = 81

where as 

3*4 = 3+3+3+3 = 12

-----------

I am glad that you have joined our forum.  You can have some fun and learn a lot here.  :)

 Dec 31, 2014

32 Online Users

avatar
avatar
avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.