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The Strangest Fraction in Mathematics.

138K views · Mar 29, 2026 · Music

Comments · 395

  • @ScienceSpider-sigma · 5 months ago

    I'm still waiting for a fraction that gives us all the prime numbers

    205

  • @aeschynanthus_sp · 5 months ago

    Spiral galaxies do not really form golden spirals (the one connected with the Fibonacci sequence). They do commonly form logarithmic spirals, of which the golden spiral is just one type. Tony Padilla spoke about this in a Numberphile video called "The Silver Ratio", from 2018.

    18

  • @derfunkhaus · 5 months ago

    It would have been a better video if you explained how the column addition worked once we got to Fibonacci numbers with 2 or more digits.

    9

  • @topquark22 · 5 months ago

    The amazing thing about this is, it appears to work in base 10. But unlike a lot of silly recreational mathematics, it actually depends on the number 1/10. The fact that it works nicely in base 10 is kind of just a nice coincidence.

    15

  • @xbia1 · 5 months ago

    1/889 generates the sequence where each term after the third is the sum of the previous three terms. Summing the terms shifted by one digit gives 1/889, but 889 doesn&apos;t occur in this sequence.<br>The same for 1/8889 (add previous 4 terms), so it&apos;s just a coincidence that 89 occurs in the Fibonacci sequence.<br>1/88 generates the sequence where each term is the sum of the previous term and twice the term before it.<br>1/87 generates the sequence where each term is the sum of the previous term and thrice the term before it, etc.

    23

  • @realkraid · 4 months ago

    &quot;Everything is connected&quot; because everything is just using different mathematical lenses to describe the same mathematical object, as it were

    2

  • @jellydonut505 · 5 months ago (edited)

    Reminds me of how the coefficients of Pascal&apos;s triangle match with powers of 11, up until the 5th row or so

    2

  • @bitti1975 · 5 months ago

    89 takes 24 iterations of reversals and addition to reach a palindrome, the largest of any number under 10,000 (if the conjectured Lychrel numbers below 10,000 are indeed Lychrel numbers).

    1

  • @patreco2273 · 5 months ago

    All that matters is that the sum converges. Then it converges to some number.

    4

  • @Chalisque · 5 months ago

    For the curious, there is the freely downloadable book by herbert wilf, generatingfunctionology

    3

  • @yaakouboubouzid9448 · 5 months ago

    89 better than 67

    163

  • @yokoyapen · 5 months ago

    <a href="https://www.youtube.com/watch?v=fVVspcjQr5M&amp;t=276">4:36</a> this part conofusing

    11

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