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  • ? shitacemayo 433

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  • ? touhou 947k

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  • ? kamishirasawa keine 16k

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Information

  • ID: 4643172
  • Uploader: Below273 »
  • Date: about 4 years ago
  • Size: 333 KB .jpg (1668x2224) »
  • Source: twitter.com/shitace1/status/1416043036644036611 »
  • Rating: General
  • Score: 24
  • Favorites: 32
  • Status: Active

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Resized to 50% of original (view original)
kamishirasawa keine (touhou) drawn by shitacemayo

Artist's commentary

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  • シンプルに慧音先生

    Simply Keine-sensei

    • ‹ prev Search: math next ›
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    NNescio
    about 4 years ago
    [hidden]

    The reason why they picked 3.05 and not 3 is to stymie people trying to go for the easy solution involving an inscribed hexagon.

    The textbook answer is to use an inscribed dodecagon (12-gon).

    The elegant answer (using pure geometry) is to use an inscribed decagon (10-gon), since it's the smallest n-gon you'll need and also has beautiful golden ratios.

    The most 'elegant' answer is to use the 1968 Putnam integral. Though this might be a bit overkill and relies on more recent mathematical developments (i.e. calculus, not just geometry). But it is very, very beautiful and succinct.

    They are also lot of other possible proofs, some more elegant than the others, and some downright cheeky. Though knowing the Baka Group they'll probably go for something like 𝜋 = 3.142... > 3.05, which doesn't count as a proof because it's tautological. And by "they" I mean Dai-chan. The rest will probably just go "wuhhh" or "Is pie tasty?"

    Updated by NNescio about 4 years ago

    21 Reply
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    Zaku Zelo
    about 4 years ago
    [hidden]

    NNescio said:

    The reason why they picked 3.05 and not 3 is to stymie people trying to go for the easy solution involving an inscribed hexagon.

    The textbook answer is to use an inscribed dodecahedron (12-gon).

    The elegant answer (using pure geometry) is to use an inscribed decahedron (10-gon), since it's the smallest n-gon you'll need and also has beautiful golden ratios.

    The most 'elegant' answer is to use the 1968 Putnam integral. Though this might be a bit overkill and relies on more recent mathematical developments (i.e. calculus, not just geometry). But it is very, very beautiful and succinct.

    They are also lot of other possible proofs, some more elegant than the others, and some downright cheeky. Though knowing the Baka Group they'll probably go for something like 𝜋 = 3.142... > 3.05, which doesn't count as a proof because it's tautological. And by "they" I mean Dai-chan. The rest will probably just go "wuhhh" or "Is pie tasty?"

    So basically what you're saying is I can't get in to Tokyo University.

    16 Reply
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    FWP
    about 4 years ago
    [hidden]

    School had accepted our (technical education) class answer of grabbing a measuring tape and measuring both the circumference and the diameter of the teacher's cup.

    Apparently not the first time our side of the education system used that bypass.

    8 Reply
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    ygm 1
    about 4 years ago
    [hidden]

    ...𝜋 = 3.142... > 3.05...

    Proof by Just Trust Me Bro

    9 Reply
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    NNescio
    about 4 years ago
    [hidden]

    ygm_1 said:

    Proof by Just Trust Me Bro

    Assume 𝜋 = 3.142
    ∴ 𝜋 > 3.05
    Q.E.D!

    5 Reply
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    Xinser
    about 4 years ago
    [hidden]

    You can say I'm Cirno in this comment section

    7 Reply
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    someguyted
    almost 3 years ago
    [hidden]

    NNescio said:

    The reason why they picked 3.05 and not 3 is to stymie people trying to go for the easy solution involving an inscribed hexagon.

    The textbook answer is to use an inscribed dodecagon (12-gon).

    The elegant answer (using pure geometry) is to use an inscribed decagon (10-gon), since it's the smallest n-gon you'll need and also has beautiful golden ratios.

    The most 'elegant' answer is to use the 1968 Putnam integral. Though this might be a bit overkill and relies on more recent mathematical developments (i.e. calculus, not just geometry). But it is very, very beautiful and succinct.

    They are also lot of other possible proofs, some more elegant than the others, and some downright cheeky. Though knowing the Baka Group they'll probably go for something like 𝜋 = 3.142... > 3.05, which doesn't count as a proof because it's tautological. And by "they" I mean Dai-chan. The rest will probably just go "wuhhh" or "Is pie tasty?"

    I’m no math whiz, but I’m curious what would make a mathematical proof “cheeky”

    1 Reply
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    Kanzaku
    over 2 years ago
    [hidden]

    Xinser said:

    You can say I'm Cirno in this comment section

    Same

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    Problem
    Prove that 𝜋 is greater than 3.05.
    A common University of Tokyo entrance exam problem during the early 2000s.
    July 16
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    Rumia Cirno
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