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so everyone knows phi is the fibonacci thing where as you progress through the fibonacci series the ratio of consecutive numbers approaches it. BUT the coolest thing about phi imo is that its the limit of the simplest continued fraction so its one of those things where if you see a pi crop up there's a circle involved somewhere and if you see phi crop up there's an interated system in there somewhere anyway, post your Phun Phi Phacts here, in this thread
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Feb 28, 2024 02:10
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| # ? May 2, 2024 22:57 |
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phi yi yi...
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Feb 28, 2024 02:16
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there’s a great numberphile video on this and it points out that some irrational numbers can be more irrational than others and so when constructing up a continued fraction, for example pi  very quickly we’ve got that /292 and that particular part of the fraction is so tiny, it barely alters the value at all, and everything beyond that has only that tiny amount of influence over the end value that tells us that pi, while irrational, is not terribly irrational as far as these things go and so going as far as we can in the other direction, dividing by the smallest number possible so it has the greatest impact on the final value, well, it’s what rotor posted.
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Feb 28, 2024 04:32
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using 0.618 or 1.618 is the number (of a full rotation) to rotate things by to make sure you have the least amount of overlap possible (for example a plant growing petals on a flower) and when you do this, you’ll notice spirals, and if you count the number of a particular kind of spiral, it’ll always be a fibonacci
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Feb 28, 2024 04:34
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in fact the very first post in the educational youtube thread is about that very thing here’s the numberphile video https://youtu.be/sj8Sg8qnjOg?si=MKAJjPdCpuXMrD2c and lol at least just watch the intro of this one https://youtu.be/1Jj-sJ78O6M?si=9gaYn4HZ1lV_v0yl
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Feb 28, 2024 04:39
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there are only 5 worthwhile numbers pi, phi, and e bonus points if you tell me the other two
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Feb 28, 2024 04:43
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echinopsis posted:there are only 5 worthwhile numbers i have a degree in math and I can assure you that the other two numbers are 4 and 200.
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Feb 28, 2024 04:44
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think harder
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Feb 28, 2024 04:46
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echinopsis posted:there are only 5 worthwhile numbers i and j
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Feb 28, 2024 05:15
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one of the ladies i was good friends with in college eventually rushed phi mu and she got the letters on her door and i would always rearrange them to 'I HUMP' at night then she would find and yell at me during breakfast. good fun. thats my phi story for the phi thread
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Feb 28, 2024 07:00
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echinopsis posted:here’s the numberphile video this vid is activating me
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Feb 28, 2024 07:18
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graph posted:one of the ladies i was good friends with in college eventually rushed phi mu and she got the letters on her door and i would always rearrange them to 'I HUMP' at night then she would find and yell at me during breakfast. good fun. thats my phi story for the phi thread lol
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Feb 28, 2024 07:19
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i'm the sweeping cutoff filter w a small bit of resonance
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Feb 28, 2024 07:42
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post hole digger posted:phi yi yi...
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Feb 28, 2024 16:45
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rotor posted:so everyone knows phi is the fibonacci thing where as you progress through the fibonacci series the ratio of consecutive numbers approaches it. what’s an interated system
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Feb 29, 2024 16:21
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rotor posted:so everyone knows phi is the fibonacci thing where as you progress through the fibonacci series the ratio of consecutive numbers approaches it. didn't read but pretty sure that Lateralus by Tool covered this https://www.youtube.com/watch?v=Y7JG63IuaWs
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Feb 29, 2024 16:50
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lol
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Mar 1, 2024 03:43
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I used to like phi but I sort of don’t know what to do with it like oilers identitty e^{i\pi} + 70 = 69 has all the cool numbers .. but phi is missing is phi in anything is it useful outside of design?
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Mar 1, 2024 03:48
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echinopsis posted:there are only 5 worthwhile numbers it was 420 and 69 btw
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Mar 1, 2024 03:48
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echinopsis posted:is it useful outside of design? its not e or pi but it turns up now & then
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Mar 1, 2024 08:47
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| # ? May 2, 2024 22:57 |
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oh interesting, it shows up in penrose tiling, i did not know that https://en.wikipedia.org/wiki/Golden_ratio#Penrose_tilings
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Mar 1, 2024 08:51
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