RodionGork's blog

Pi approximation day
By RodionGork, 10 years ago, In English

I was somewhat surprised to learn that besides Pi Day celebrated on the 14-th of March we have Pi Approximation Day celebrated today, on the 22-th of July.

Don't be surprised, both link lead to the same page.

I'm curious, whether it is possible to invent the day for another well-known approximation 355 / 113? Well... It could be the 113-th minute of the 355-th day of the year — something closer to astronomic time notation...

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10 years ago, # |
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I sho?

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    10 years ago, # ^ |
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    Special challenge for Bredor:

    Regard the endless decimal representation of Pi:

    3.141592653589793238462643383279502884197169399375105820974...

    Surely, somewhere the pattern 228 may be encountered among these digits. How much digits will it take to encounter this pattern for 228 times?

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      10 years ago, # ^ |
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      what's so special about the number 228? or did u choose it randomly?

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        10 years ago, # ^ |
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        Have you examined Bredor's avatar closely?

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        10 years ago, # ^ |
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        This number has some deep connections with old Russian traditions

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          10 years ago, # ^ |
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          Please elaborate.

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            10 years ago, # ^ |
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            I'm afraid it was just a joke. Well, it is also the number of the first round in which Bredor participated here.

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      10 years ago, # ^ |
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      I think 227295.

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        10 years ago, # ^ |
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        Check again, probably it should be something like 228228.

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        10 years ago, # ^ |
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        Well, I already forgot the answer myself but it looks close. Though close answer, probably, could be found simply by probability counting ;-)

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          10 years ago, # ^ |
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          As far as all prefixes and all suffixes of 228 are distinct, it is quite obvious that expected value is 228*(10^3)=228000.

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