Physics puzzle Cast Puzzle snatch (e.g. purse) imageimage image Amazon It was rather crunchy, so it was very good for the purpose of “observing my thinking process.” I took a record of the thought process.

--- Summary

  • Enhancing working memory by drawing information
  • Faster search by modeling
  • Writing it down so it doesn’t disappear and repeat itself.
  • Working backwards from the goal
  • There must be something we’re overlooking. Explore.
  • After finding an oversight, search through past records

--- Details

  • Purchased in the evening, tinkered a bit, then went to bed because the migraine was so bad.

    • I tried to see if I could solve it without using my eyes, just by feel, but it was too difficult.
    • At this point, a rough mental model of how things should behave was created.
  • After dinner, start solving again.

    • Prepare an iPad and draw a diagram
  • image

    • Look at the front and back and illustrate where the grooves are carved.
      • Made it possible to check at a glance without having to physically turn it over.
      • “Enhancing working memory by representing frequently accessed information in a form that can be viewed at a glance.”
        • The truth is, it’s most efficient to put it in your working memory so you can remember it without looking at anything.
        • But the human brain can’t just go, “Okay, I’m going to put this into working memory.”
        • So “writing in an easy-to-read form” is a substitute for working memory.
  • image

    • I’m running it on the iPad without trying to physically move it.

      • “By creating models of the real world, we can experiment more efficiently than by directly manipulating the real world.”
      • In this case, after moving it around for a while, I found that when the wheel is “protruding on the front side”, you can go through the red passage with a groove on the front, and if you turn it 180 degrees, you can go through the blue passage on the other side with a protrusion on the back.
      • So the “ring” is modeled as “a combination of two dots, red and blue”.
      • Can be tried and tested faster than physically moving it.
      • But when I got to the diagram on the right, I felt confused and “lost.”
    • get lost = I feel like we’ve come to the same place.

    • Need to be able to verify if this is the “same place”

    • The way the diagram above is written, it is not clear where red and blue are respectively at each point in time

    • Also, switching between red and blue colors is a hassle, so I’d like to use one color.

    • Circles represent the shape of a projection from top to bottom

    • image

    • When I went on, I could see that I was “in the same shape as before” (1).

    • So you can quickly determine that there is no point in moving on from there.

    • I’m going back and finding a place where I can branch out and go another way (2).

    • But still, I can’t find a path that would bring me closer to the goal (continued in next picture)

    • About this work

      • 「 Make it indelible by writing it down. 」
      • I can’t remember in my brain what the state of the wheel was at each point in time.
      • So we record it there to keep it from disappearing.
      • Also, by making it a “form that can be listed”, we are able to notice that “the same form has appeared in the past”.
  • Working backwards from the goal

    • image
    • I didn’t know which path would bring me closer to the goal, so I worked backwards from the goal.
    • Write down the states that can be transitioned from each state.
    • But it doesn’t merge with the path I’ve written so far, I’m missing something.
    • (Red arrows are written later)
    • (I’m writing the black arrow to consider “we’re on the straight and narrow here, right?“)
  • I looked at the physical puzzle again and discovered a pattern of movement that I had missed.

    • Figure I just wrote to illustrate:.
      • image
    • In this puzzle, basically, “only the passage on the far side of the same color of the adjacent square is passable”.
      • This is because the other side of the ring (blue circle) will hit the frame if you try to go through the near side.
    • However, if the other side of the ring is out of the puzzle, this is not the case, and close passages can be passed
  • blind spot search” and “There must be power.”

  • Look at past records and check if one side of the ring is out of the ring and this transition can be used to create a new state.

    • It was easy to find, and it was easy to return to the road that led to the goal.
    • image
    • I was able to remove one ring.
  • Consider the other ring.

    • image
    • Perhaps because I had already given this much thought, I was able to get to the goal easily.

So, to rearrange how to remove the two rings, it looks like this: 1.

  • image

summary

  • Enhancing working memory by drawing information
  • Faster search by modeling
  • Writing it down so it doesn’t disappear and repeat itself.
  • Working backwards from the goal
  • There must be something we’re overlooking. Explore.
  • After finding an oversight, search through past records

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