A trippy mathematical journey through a crazy class of functions

in #mathematics • 6 years ago

This is high quality version of the gif from this post, https://steemit.com/mathematics/@mathowl/math-art-7-trippin-with-maths , it has about 100 times as many frames. So it looks a bit like a slowed down version of the gif. Also did some minor video editing and slapped an ambient soundtrack under it.

Music: Haere Mai! - Ambient Mix - by Parvus Decree CC0

▶️ DTube
▶️ IPFS
#maths #steemstem #trippy #dtube
6 years ago in #mathematics by
$1.25
  • Past Payouts $1.25, 0.00 TRX
  • - Author $0.90, 0.00 TRX
  • - Curators $0.35, 0.00 TRX
26 votes
Reply 2
Sort:  
  • Trending
    • [-]
     6 years ago 

    I have this feeling/view/imagination (don't know the the word) that it builds some times a sphere in the middle.

    $0.05
    • Past Payouts $0.05, 0.00 TRX
    • - Author $0.04, 0.00 TRX
    • - Curators $0.01, 0.00 TRX
    2 votes
    Reply
    [-]
     6 years ago 

    Nice observation. There is a type of attraction occuring to the circle in the middle. This is related to the property that sin(x) behaves like x for small x. The middle of the image corresponds to the origin. So if you look at the underlying equation for values close to the origin (so small x and y) it behaves like (x2+y2)2 = (n x)2 + (n y)2 which, after some re-writing, corresponds to an equation for a circle.

    Coin Marketplace

    STEEM 0.30
    TRX 0.12
    JST 0.034
    BTC 63900.40
    ETH 3140.82
    USDT 1.00
    SBD 3.98