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Pinary Rules: 1. If a digit matches the first digit of Pi, it is a "1". 2. Following a "1" (the first "1" is the tenth digit), go to the second digit of Pi. 3. If this digit matches the second digit, then it is a "1". If not matching, it is a zero. 4. Repeat this with all "3" digits in Pi. 5. A series of "1"s is a series of digits that match the opening digits of Pi.
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I asked myself: What is the frequency that any selection of the digits of Pi match the opening digits. I call the result Li, which is an indefinite constant.
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quote:Originally posted by Reticulum: Pinary Rules: 1. If a digit matches the first digit of Pi, it is a "1". 2. Following a "1" (the first "1" is the tenth digit), go to the second digit of Pi. 3. If this digit matches the second digit, then it is a "1". If not matching, it is a zero. 4. Repeat this with all "3" digits in Pi. 5. A series of "1"s is a series of digits that match the opening digits of Pi.
An interpretation:
1. Any digit that is '3' is '1'
2. After a '1' (after being undefined as well as if the '1' is before or after translation) - wait, a '1' is always the tenth digit? Like a digit in the "tens" column, or like "after" 9 digits you get to the digit in question? I'm going with the latter, since it's the more literal interpretation, so we now know that the 10th digit is always a '1'. But wait, does that mean if there's a '1' we're already at the tenth digit? So 9 digits must either already exist or appear prior to the '1'? And what if there are more than 9 digits? I see what you mean about how crazy things are. But let's just ignore all this and note that we are "at" the second digit of Pi.
3. Now if a digit matches the second digit of Pi it's a '1'. So now if the digit is either '3', '1' or the tenth digit it's a '1'.
4. I'm not sure what we're repeating here, but I guess all '3's are again '1's. Which we already knew, but maybe we're just padding the rule book.
5. This is more a declaration than a process but OK. I guess Pi is now just a series of '1's, since we know that if we wrote out a series of '1's it would match the opening of Pi. But with no upper bounds on the length of the series I guess all of Pi is now '1's. Presumably with the decimal in the same spot.
So Pi is now 10/9. Which for, say, cosmology, isn't a bad estimate of Pi. So there you go.
1) Consider the digits of Pi. 2) Start with the first digit. 3) Call this starting position "A." The value of "A" at position "A" is "3". 4) Iterate through the remaining digits of Pi (i.e. those after position "A") until you reach the first digit that matches the value of "A" (i.e. the second "3"). Note the number of digits you had to skip to reach this second instance of "3" (in this case, nine). Call this position "B". 5) Now that you have found the second instance of the first digit, continue from position "B" until you find the next instance -- not technically the second, but the next from this point -- of the second digit of pi, namely "2." Write down the number of digits it took you to do this (i.e. "5"). 6) Continue for all the digits of pi. In some cases, you will have to pass more than 9 numbers to reach the next value; according to the process shown, write down the resulting number as if it were a single digit, even though it's not (at least in base 10).
If you feel like it, you can mark each iterative instance of a digit of Pi with a "1," basically as a meaningless placeholder. Any time you have repeating "1"s in your data, one or more digit of pi is being repeated sequentially -- which should happen reasonably often, since there are only ten digits and pi is infinitely long.
Anyway, the result is a number. Fourteen is also a number.
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The best assumption I can make is that someone has misunderstood Sagan's rather weak attempt at a proof of God at the end of Contact, and is satirizing their misunderstanding of it.
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In honesty though, I'm not seeing what the significance is? I don't just mean the rules, but why is that number somehow related to having faith in God? Is it a special number somehow?
[EDIT: i.e. If the number that resulted was "1234567..." or "31415926535..." or something then I'd at least see why they thought the result was interesting. But I don't think the result they got looked like anything other than random digits.]
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I have faith in God; I need no convincing. Science is the allusion of Math, Math is the allusion of God.
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I want to know what this number means to you. You've discovered a formula or process that generates a random number. Random number generators are certainly a useful thing and there's some work put into a good one. But they have to show good distribution and be computationally efficient. I don't know how your formula fares on the first but it's pretty bad on the second. But I'm pretty sure you feel these numbers are more important than examples of random number generator results.
quote:You've discovered a formula or process that generates a random number.
He's actually "discovered" the opposite: it's a process that derives a constant from another constant.
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Hold on, I'll make a blog showing the newest number I created. I derived the constant Ha (Harrison's Number from e. I'll have it up by the end of the day.
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With Pinary, all integers are 1, and 0 is also 1. Next question: Can Pinary be applied to imaginary numbers? Imaginary Pinary?
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quote:You've discovered a formula or process that generates a random number.
He's actually "discovered" the opposite: it's a process that derives a constant from another constant.
Well it needs a seed number, but that's not atypical for random number generators. Then he can presumably use the result to feed back into the process and create a loop. Sounds like pretty standard random number generating to me.
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I'm writing a book called Persephone. The main character is named Scott, after F. Scott Fitzgerald and Orson Scott Card. Here's something cool;
"Canvased against the gloaming, the horizon was eclipsed by the slow climbing angle of a prairie mountain. Emanating from just out of sight were indefatigable eruptions of light and ground shaking sound. As one of the Robot warships began to pass over the top and into view, a Persephonian satellite sent forth the roar of a miles-long plasma beam. The beam, upon contact with the ship, instantaneously bathed all that could be seen in a pure white light; immediately afterwards, the landscape flashed back into observation, and a titanic sound wave reverberated outwards. The bow of the warship was decayed into the quantum vacuum and out of existence, whereas the silver remains of the metal monster began to collapse out of the sky. Its contiguous beams of colored light briefly flickered until ceasing completely, while the neutralized Robot vessel exploded into the dirt of a garden of chaos."
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Persephone: Goddess of the harvest and wife of Hades, lord of the underworld. Persephone is a farm world the size of Neptune. Robots are from Hephaestus (greek god of metalworking), 1/20th the size of Persephone. Set in 10,010.
"Beneath a sky of pitch black smog, eroded and corroded towers stood abandoned amid the planetary desert called Hephaestus. It's resources mined and devoted to total invasion."
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"Beneath a sky of pitch black smog, eroded and corroded towers of nanotubes stood abandoned amid the planetary desert called Hephaestus. It's resources mined and devoted to total invasion."
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"From the sililoquistic ramblings of the utterly bereft and transient wildlings the sound of ancient wonder could be heard atop the quintessential eco-friendly citadel of bewilderment."
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quote:Originally posted by kmbboots: I am pretty sure he is kidding.
Do you mean to say "It is in my most expert opinion that this most grandiloquent individual is attempting to bestow on our humble community a jest of literary proportions."
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"The hours grew temporarily brighter in the valley as the light of Zablaxus reflected over the afternoon. A golden halo encapsulated the passing moon."
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quote:Originally posted by kmbboots: I am pretty sure he is kidding.
Do you mean to say "It is in my most expert opinion that this most grandiloquent individual is attempting to bestow on our humble community a jest of literary proportions."
I would dare to add my most meek level of agreement to your eloquently stated opinion on the matter of our fellow acquaintance.
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"Scott gazed into her slightly vacillating pupils; they were surrounded by an underlying light green overlaid with light patches of starry yellow."
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"The orchard's trees were evenly spaced and equally beautiful. Scott did not see the forest or the trees; instead he observed the wind hum through their leaves."
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"As Scott gazed at the humming wind his non-observance led him to overlook the oncoming hoard of undead villagers."
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