Guest room208 Posted April 11, 2004 Share Posted April 11, 2004 It would suprise me to no degree if this topic has already been discussed, but I would like to know if there are any proven correlations between pi, phi, and eulers constant? If anyone could help me with this I would be much obliged. Link to comment Share on other sites More sharing options...

lqg Posted April 11, 2004 Share Posted April 11, 2004 there is approximatiom of pi with phi: 1/√(φ)= 3.144605511~π as you can see it's only 2 decimals accurate. Link to comment Share on other sites More sharing options...

Dave Posted April 11, 2004 Share Posted April 11, 2004 There's quite a nice formula for calculating pi using the Fibonacci numbers; pi/4 = sum(k=1 to infinity)(arctan(1/F_{2k+1})) (I'd use mimeTeX but for some reason, it hates \arctan). Link to comment Share on other sites More sharing options...

Dave Posted April 11, 2004 Share Posted April 11, 2004 You can find this, and a few others, at http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibpi.html Link to comment Share on other sites More sharing options...

Kedas Posted April 11, 2004 Share Posted April 11, 2004 Just wanted to say that the subject line is funny: "Needing irrational help" I just did my part Link to comment Share on other sites More sharing options...

wolfson Posted April 11, 2004 Share Posted April 11, 2004 e^i*pi = -(phi)^0 Link to comment Share on other sites More sharing options...

Dave Posted April 11, 2004 Share Posted April 11, 2004 e^i*pi = -(phi)^0 Nice one As of yet, I haven't been able to find any equations linking euler's constant to pi and phi directly, I'm not sure whether there is a connection or not. Link to comment Share on other sites More sharing options...

bloodhound Posted April 13, 2004 Share Posted April 13, 2004 this is a famous limit F(n)/F(n-1) tends to phi as n tends to infinity where F(n) is the nth fibonacci number also find loads . i mean tons and tons of exciting equations and recurrence relations for fibonacci at http://mathworld.wolfram.com/FibonacciNumber.html Link to comment Share on other sites More sharing options...

Dave Posted April 13, 2004 Share Posted April 13, 2004 Yeah, mathworld in general has a hell of a lot of articles about most of the major functions in mathematics. Link to comment Share on other sites More sharing options...

bloodhound Posted April 13, 2004 Share Posted April 13, 2004 i think i have read everything in there!!! they start simple and go into the most hard stuff Link to comment Share on other sites More sharing options...

John Cuthber Posted November 15, 2017 Share Posted November 15, 2017 9 minutes ago, Liddz said: Golden Pi = 3.144605511029693 is the correct value of Pi and this fact can be proven by almost anybody that has sufficient knowledge of the principles of the Kepler right triangle including the creation of a circle with a circumference equal in measure to the perimeter of a square. The correct value of the Golden ratio will determine the correct value of both the square root of the Golden ratio and Pi. Traditional Pi 3.141592653589793 is also false because it is based upon a false value for the Golden ratio for example traditional Pi 3.141592653589793 can also be gained from 4 divided by the square root of 1.621138938277405 = 1.273239544735163. The ratio 1.621138938277405 can be gained in Trigonometry through the formula Cosine (35.84839254086685) multiplied by 2. The ratio 1.621138938277405 is a very poor approximation of the real Golden ratio of 1.618. The correct value for the Golden ratio is Cosine (36) multiplied by 2 = 1.618033988749895 and the correct value for the square root of the Golden ratio is 1.27201964951406. 16 divided by traditional Pi 3.141592653589793 squared = 9.869604401089357 results in the False value of the Golden ratio 1.621138938277405, while 16 divided by Golden Pi 3.144605511029693 squared = 9.888543819998317 = 1.618033988749895. Remember that 1.618033988749895 is the real Golden ratio and NOT 1.621138938277405. We do not even need to use any of the Pi values to determine the diameter of a circle or the circumference of a circle instead we can use the Square root of the Golden ratio = 1.27201964951406. If we multiply 1 quarter of the circle's circumference by 1.27201964951406 then the result is the correct measure for the circle's diameter. If we already know the length of the circle's diameter but we do not yet know the measure for the circle's circumference then all we have to do is divide the measure of the circle's diameter by 1.27201964951406 and the result will be 1 quarter of the circle's circumference. Multiply 1 quarter of the circle's circumference by 4 and obviously we have the value for the circumference of the circle. If we use 1.27201964951406 to get the length of the circle's diameter or the measure for the circle's circumference and then we divide the measure for the circle's circumference by the measure for the circle's diameter I guarantee you the result is 3.144605511029693. The Kepler right triangle has so much wisdom encoded in it. The Kepler right triangle is proof that 3.144605511029693 is the correct value for Pi. 3.141592653589793 as Pi has already been proven to be false by the aid of computer software that demonstrate that the curve of a circle can never be filled completely by polygons so the assumption that the gaps in the circle’s curve will disappear is false and thus proves that the multiple Polygon method for deriving a value of Pi is flawed because the multiple polygon method can only give us approximations for Pi while the Kepler right triangle gives us the exact value of Pi and that is 3.144605511029693. For example if the second longest edge length of a Kepler right triangle is the same length as the diameter of a circle then shortest edge length of the Kepler right triangle is equal to 1 quarter of the circle’s circumference. So if the shortest edge length of the Kepler right triangle is multiplied by 4 and the result divided by the second longest edge length while we use 1.27201964951406 then we can get the correct value of Pi and again that is 3.144605511029693. The Kepler right triangle is also the key to squaring the circle with equal perimeters and also equal areas. So almost anybody can get the right value of Pi by just constructing a Kepler right triangle and also a pocket calculator. Remember that the hypotenuse of a Kepler right triangle divided by the shortest edge length produces the Golden ratio of Cosine (36) multiplied by 2 = 1.618033988749895, while the second longest edge length of a Kepler right triangle divided by the shortest edge length produces the square root of the Golden ratio 1.27201964951406. Pi can be also be calculated from a Kepler right triangle if the measure for the perimeter of the square that is located on the shortest edge length of the Kepler right triangle is divided by the measure for the second longest edge length of the Kepler right triangle. Pi can also be gained if the measure of the perimeter of the square that is located on the second longest edge length of a Kepler right triangle is divided by the hypotenuse of the Kepler right triangle . Traditional Pi = 3.141 can also be gained from a Kepler right triangle that has a hypotenuse with a measure of 34 while the shortest edge length of this Kepler right triangle is 21 and the second longest edge length of the Kepler right triangle has a measure that is equal to the square root of 715. 34 and 21 are both numbers that can be found among the Fibonacci sequence that progresses towards the Golden ratio Phi of Cosine (36) multiplied by 2 = 1.618033988749895 when any of the numbers that are next to each other in the Fibonacci sequence are divided by each other resulting in an approximation for the Golden ratio-Phi of Cosine (36) multiplied by 2 = 1.618033988749895. 34 divided by 21 = 1.619047619047619. 1.619047619047619 is an approximation for the Golden ratio –Phi of Cosine (36) multiplied by 2 = 1.618033988749895. 21 multiplied by 4 = 84. 84 divided by the square root of 715 = 3.141421886428416. 3.141421886428416 multiplied by the square root of 715 = 84. The real value of Pi = 3.144605511029… and can be gained from a Kepler right triangle that has a hypotenuse that has a measurement of 9227465, while the shortest edge length of this Kepler right triangle is 5702887 and the measurement for the second longest edge length of this Kepler right triangle is 7254184.3229584. 9227465 and 5702887 are numbers that are both featured among the Fibonacci sequence that moves towards the Golden ratio-Phi of Cosine (36) multiplied by 2 = 1.618033988749895 when any of the numbers that are next to each other in the Fibonacci sequence are divided by each other resulting in an approximation for the Golden ratio-Phi of Cosine (36) multiplied by 2 = 1.618033988749895. 9227465 divided by 5702887 = the Golden ratio-Phi of Cosine (36) multiplied by 2 = 1.618033988749895. 5702887 multiplied by 4 = 22811548. 22811548 divided by 7254184.3229584 = 3.144605511029667. 3.144605511029667 multiplied by 7254184.3229584 = 22811548. 3.144605511029…….. is the true real value of Pi. https://houseoftruth.education/en/teaching/mona-lisa/theorem-5-kepler-triangle-in-the-great-pyramid https://www.goldennumber.net/triangles/ https://en.wikipedia.org/wiki/File:Kepler_Triangle_Construction.svg https://m.facebook.com/TheRealNumberPi/ www.measuringpisquaringphi.com Download for free and keep and read The book of Phi volume 8: The true value of Pi = 3.144, by Mathematician and author Jain 108: https://lists.gnu.org/archive/html/help-octave/2016-07/pdf1s8_jmqrL6.pdf So that's what happens when a numerologist gets a scientific calculator? I had wondered. Link to comment Share on other sites More sharing options...

studiot Posted November 15, 2017 Share Posted November 15, 2017 16 minutes ago, Liddz said: Golden Pi = 3.144605511029693 Oh no, not again an after the OP has already pre-noted 13 years ago that this subject has already been discussed On 11/04/2004 at 2:40 AM, Guest room208 said: It would suprise me to no degree if this topic has already been discussed, Seal this knot now please. Link to comment Share on other sites More sharing options...

Endy0816 Posted November 15, 2017 Share Posted November 15, 2017 (edited) They talk about the coincidence and the fact that the value is not equal to Pi, on the Kepler Triangle page. https://en.m.wikipedia.org/wiki/Kepler_triangle Edited November 15, 2017 by Endy0816 Link to comment Share on other sites More sharing options...

Bignose Posted November 16, 2017 Share Posted November 16, 2017 On 11/15/2017 at 1:14 PM, Liddz said: Golden Pi = 3.144605511029693 is the correct value of Pi ... Do you have any concept of how many times in any given day, the value of pi is used? This 0.1% difference would result in so many things going wrong. We're talking about: satellites falling out of orbit, GPS not working correctly, every single Fast Fourier Transform algorithm returning wrong results, every single calculation of the trig functions returning wrong results. How can all these be wrong and yet seem to be working so well? 1 Link to comment Share on other sites More sharing options...

Country Boy Posted December 20, 2017 Share Posted December 20, 2017 On 4/11/2004 at 7:35 AM, Kedas said: Just wanted to say that the subject line is funny: "Needing irrational help" I just did my part This is certainly the place to come for irrational help! Link to comment Share on other sites More sharing options...

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