About 1.6 (short).
I am insane. It is important that at this juncture you understand that while I can rationalize my insanity and understand its existence, I do not believe myself to be insane (or any less sane than you the reader). I am told this is nothing more than a symptom of my insanity, as one can not both be insane and believe that they are. But I digress.
In Aronofsky's 1998 cult classic PI, the protagonist Maximillian Cohen (played by Sean Gullette) suffers from a psychological disorder resulting from a childhood trauma. His disorder manifests itself in two particular ways. First, he has chronic uncontrollable headaches, and second, his obsession with the number 216. Actually he believes he is searching for a two hundred sixteen digit number, but as such a number is beyond actual observation or repetition here, we can substitute the number 216 for it. The movie explore a number of possible explanations for this number, the true name of god, the consciousness of a main frame computer, the controlling intelligence of the stock market, all leading Max to believe that this number is naturally occurring and thus its consistently repetition is itself explained. What's more, rational thought cannot easily dismiss his obsession as the insanity we later realize it is.
But he isn't the first man to be obsessed a number. For years mathematicians have been obsessed with the number pi (3.14159...). A number which represents the ratio between a straight line and the circle that encompasses it. Its infinitely long non-repeating decimal progression defies reason. There must be a pattern there somewhere right? But Pi isn't the only number to exhibit this behavior, it has a sister number labeled e (probably after the economists that desire it so, 2.71828). The mathematical progression of compounding interest over time. Normally because compounding exhibits linear interpolation you have to compute each time step before the next. Often it is done in years, but sometimes quarterly, or even days, and possibly seconds. However these graphs converge asomtotically to a number: e. E there for is the value for compounding continuously.
My own personal obsession revolves around a different number, sometimes called the golden ratio. Often times personified as a spiral or an exceptionally pleasing rectangle, phi is the limit of the ratio of two consecutive terms of a Fibonacci series; best though of in bunnies. Suppose we have two baby bunnies (a guy and a girl) and lets assume they never die (which while impractical, death will only matter so late in the series that it does not bear discussion), and finally assume it takes them a month to grow up. At the end of the first month there is only one pair. At the end of the second month, two. By the third month the new pair from the second month hasn't grown up yet, so only the first pair reproduces, giving us 3. By the fifth month the second pair has grown up enough to reproduce so we have 5. The sixth month brings us 8. The seventh, 13. Then 21, 34, 55, etc. After ten years we're looking at 5358359254990966640871840 rabbits. Which tells you why rabbit populations can be such a bother. For reference 5358359254990966640871840/ its proceding number (3311648143516982017180081) ~= phi. But Fibonacci doesn't happen to just bunnies, it happens to plants, and cells. Its easy to see why this number starts to appear everywhere.
The bigger wings on a butter fly compared to the smaller ones. The bones in your fingers. The facade on most buildings. The seeds in a sun flower. The branches on a tree.
It is very clear I remind you that I don't think I'm insane, that my obsession is based purely on the frequency of the number. I can see it everywhere, in everyone, because it is there. When I'm sitting alone, when I close my eye, in my dreams, on the ceiling and the walls, its wrapping itself around me it is trying to devour me.
cue the techno music
one point six
eighteen nine zerothreethreenine3988749894848204586834365638117720309179805762862135 448622705260462818902449707207204189391137484754088075386891752126633862223536931793 180060766726354433389086595939582905638322661319928290267880675208766892501711696207 032221043216269548626296313614438149758701220340805887954454749246185695364864449241 044320771344947049565846788509874339442212544877066478091588460749988712400765217057 517978834166256249407589069704000281210427621771117778053153171410117046665991466979 873176135600670874807101317952368942752194843530567830022878569978297783478458782289 110976250030269615617002504643382437764861028383126833037242926752631165339247316711 121158818638513316203840052221657912866752946549068113171599343235973494985090409476 213222981017261070596116456299098162905552085247903524060201727997471753427775927786 256194320827505131218156285512224809394712341451702237358057727861600868838295230459 264787801788992199027077690389532196819861514378031499741106926088674296226757560523 172777520353613936210767389376455606060592165894667595519004005559089502295309423124 823552122124154440064703405657347976639723949499465845788730396230903750339938562102 423690251386804145779956981224457471780341731264532204163972321340444494873023154176 768937521030687378803441700939544096279558986787232095124268935573097045095956844017 555198819218020640529055189349475926007348522821010881946445442223188913192946896220 023014437702699230078030852611807545192887705021096842493627135925187607778846658361 502389134933331223105339232136243192637289106705033992822652635562090297986424727597 725655086154875435748264718141451270006023890162077732244994353088999095016803281121 943204819643876758633147985719113978153978074761507722117508269458639320456520989698 555678141069683728840587461033781054443909436835835813811311689938555769754841491445 341509129540700501947754861630754226417293946803673198058618339183285991303960720144 559504497792120761247856459161608370594987860069701894098864007644361709334172709191 433650137157660114803814306262380514321173481510055901345610118007905063814215270930 858809287570345050780814545881990633612982798141174533927312080928972792221329806429 468782427487401745055406778757083237310975915117762978443284747908176518097787268416 117632503861211291436834376702350371116330725869883258710336322238109809012110198991 7684149175
taken from: About One Point Six by Jim Tzenes
I am insane. It is important that at this juncture you understand that while I can rationalize my insanity and understand its existence, I do not believe myself to be insane (or any less sane than you the reader). I am told this is nothing more than a symptom of my insanity, as one can not both be insane and believe that they are. But I digress.
In Aronofsky's 1998 cult classic PI, the protagonist Maximillian Cohen (played by Sean Gullette) suffers from a psychological disorder resulting from a childhood trauma. His disorder manifests itself in two particular ways. First, he has chronic uncontrollable headaches, and second, his obsession with the number 216. Actually he believes he is searching for a two hundred sixteen digit number, but as such a number is beyond actual observation or repetition here, we can substitute the number 216 for it. The movie explore a number of possible explanations for this number, the true name of god, the consciousness of a main frame computer, the controlling intelligence of the stock market, all leading Max to believe that this number is naturally occurring and thus its consistently repetition is itself explained. What's more, rational thought cannot easily dismiss his obsession as the insanity we later realize it is.
But he isn't the first man to be obsessed a number. For years mathematicians have been obsessed with the number pi (3.14159...). A number which represents the ratio between a straight line and the circle that encompasses it. Its infinitely long non-repeating decimal progression defies reason. There must be a pattern there somewhere right? But Pi isn't the only number to exhibit this behavior, it has a sister number labeled e (probably after the economists that desire it so, 2.71828). The mathematical progression of compounding interest over time. Normally because compounding exhibits linear interpolation you have to compute each time step before the next. Often it is done in years, but sometimes quarterly, or even days, and possibly seconds. However these graphs converge asomtotically to a number: e. E there for is the value for compounding continuously.
My own personal obsession revolves around a different number, sometimes called the golden ratio. Often times personified as a spiral or an exceptionally pleasing rectangle, phi is the limit of the ratio of two consecutive terms of a Fibonacci series; best though of in bunnies. Suppose we have two baby bunnies (a guy and a girl) and lets assume they never die (which while impractical, death will only matter so late in the series that it does not bear discussion), and finally assume it takes them a month to grow up. At the end of the first month there is only one pair. At the end of the second month, two. By the third month the new pair from the second month hasn't grown up yet, so only the first pair reproduces, giving us 3. By the fifth month the second pair has grown up enough to reproduce so we have 5. The sixth month brings us 8. The seventh, 13. Then 21, 34, 55, etc. After ten years we're looking at 5358359254990966640871840 rabbits. Which tells you why rabbit populations can be such a bother. For reference 5358359254990966640871840/ its proceding number (3311648143516982017180081) ~= phi. But Fibonacci doesn't happen to just bunnies, it happens to plants, and cells. Its easy to see why this number starts to appear everywhere.
The bigger wings on a butter fly compared to the smaller ones. The bones in your fingers. The facade on most buildings. The seeds in a sun flower. The branches on a tree.
It is very clear I remind you that I don't think I'm insane, that my obsession is based purely on the frequency of the number. I can see it everywhere, in everyone, because it is there. When I'm sitting alone, when I close my eye, in my dreams, on the ceiling and the walls, its wrapping itself around me it is trying to devour me.
cue the techno music
one point six
eighteen nine zerothreethreenine3988749894848204586834365638117720309179805762862135 448622705260462818902449707207204189391137484754088075386891752126633862223536931793 180060766726354433389086595939582905638322661319928290267880675208766892501711696207 032221043216269548626296313614438149758701220340805887954454749246185695364864449241 044320771344947049565846788509874339442212544877066478091588460749988712400765217057 517978834166256249407589069704000281210427621771117778053153171410117046665991466979 873176135600670874807101317952368942752194843530567830022878569978297783478458782289 110976250030269615617002504643382437764861028383126833037242926752631165339247316711 121158818638513316203840052221657912866752946549068113171599343235973494985090409476 213222981017261070596116456299098162905552085247903524060201727997471753427775927786 256194320827505131218156285512224809394712341451702237358057727861600868838295230459 264787801788992199027077690389532196819861514378031499741106926088674296226757560523 172777520353613936210767389376455606060592165894667595519004005559089502295309423124 823552122124154440064703405657347976639723949499465845788730396230903750339938562102 423690251386804145779956981224457471780341731264532204163972321340444494873023154176 768937521030687378803441700939544096279558986787232095124268935573097045095956844017 555198819218020640529055189349475926007348522821010881946445442223188913192946896220 023014437702699230078030852611807545192887705021096842493627135925187607778846658361 502389134933331223105339232136243192637289106705033992822652635562090297986424727597 725655086154875435748264718141451270006023890162077732244994353088999095016803281121 943204819643876758633147985719113978153978074761507722117508269458639320456520989698 555678141069683728840587461033781054443909436835835813811311689938555769754841491445 341509129540700501947754861630754226417293946803673198058618339183285991303960720144 559504497792120761247856459161608370594987860069701894098864007644361709334172709191 433650137157660114803814306262380514321173481510055901345610118007905063814215270930 858809287570345050780814545881990633612982798141174533927312080928972792221329806429 468782427487401745055406778757083237310975915117762978443284747908176518097787268416 117632503861211291436834376702350371116330725869883258710336322238109809012110198991 7684149175
taken from: About One Point Six by Jim Tzenes
2 Comments:
If you would like to look for a patern in the golden number, I suggest you look at the binary. R. Knott gives the first 2000 bits: http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibrabBITS.html
This post was crazy.
Oh wait, that was the point.
Interesting information, it made me change my stance and view on insanity.
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