• 1 Post
  • 23 Comments
Joined 3 years ago
cake
Cake day: July 18th, 2021

help-circle








  • To give an extreme example:

    “I solemnly swear that I am up to no good.” vs. “053250411391271”

    But to be fair, I never end up with nice sentences. It’s more like “Thank you, rainbow. Clock firework” and I imagine myself thanking a rainbow and telling it to “clock firework”, whatever that means…

    As to how long, I think it could’ve been a couple of months doing a dozen or so conversions. In total it’s a very small investment of time, assuming you space it out and don’t cram. It really helps to use the Wikipedia mnemonics (like how 4 is kinda like a mirrored R).



  • I think the way to formally prove this is to find the difference between the Fibonacci approximation and the usual conversion, and then to find whether that series is convergent or not. Someone who has taken the appropriate pre-calculus or calculus course could actually carry it out :P

    However, I got curious about graphing it for distances “small enough” like from Earth to the sun (150 million km). Turns out, there’s always an error, but the error doesn’t seem to be growing. In other words, except for the first few terms, the Fibonacci approximation works!

    This graph grabs each “Fibonacci mile” and converts it to kilometers either with the usual conversion or the Fibonacci-approximation conversion. I also plotted a straight line to see if the points deviated.

    Edit: Here’s another graph

    So it turns out:

    • Fibonacci-approximated kilometers are always higher than the usual-conversion kilometers
    • At most, the difference between both is 25%. That happens early on in the terms.
    • After that, the percentage difference oscillates around a value and comes closer to it.
    • When talking about more than 100 miles, the percentage change approximates 0.54.

    TL;DR:

    • Yes, the Fibonacci trick is true forever as you go higher in the sequence if you’re willing to accept a 0.54% error.



    • Visible Thinking to make use of the Levels of Processing Effect and to take notes. I also sometimes do the thinking routines out loud rather than writing them down. Although you lose potential notes, it’s faster.
    • Acceptance and Commitment Therapy to handle my emotions and my behavior
    • A Mind for Numbers to understand when and how to switch from and to different tasks
    • And Getting Things Done to organize my time and engage with the tasks at hand


  • Human minds can readily jump to try to solve technical problems like the one you have to solve at work. Sure, it’s abstract in many ways, but it also is an external problem.

    However, human minds are not very good at solving emotional problems. Trying to deal with thoughts and emotions like external problems usually leads to experiential avoidance. And avoidance creates even more suffering.

    I’d recommend you check out ACT, to deal with your thoughts effectively. Russ Harris and Steven Hayes are both good sources, one being less technical than the other.