PAD Orb Movement & Physics Are Related – According to University of Tokyo
(Of course they do) Itās no surprise that PAD has a lot of math and calculations behind the scenes, but a physics professor realized thereās more relationship than that.
The article
Hosho Katsura, an associate professor in University of Tokyo in the School of Science, researches about condensed matter and statistical physics (basically studying how very small things, like electrons work). He stumbled upon PAD, and realized how similar PAD is to his research work and subsequently wrote an articleĀ (Japanese only).
Essentially what he realizes is that you can āspinā PAD orbs to bring the initial orb to the original location, but with the other two orbs switched locations. It turns out that the movement is similar to movement of electrons in solids!
In more basic words, electrons move like PAD orbs.
The best part? āI wish I came up with the game in 2013ā, says the professor regretfully. The research was actually done in 2010 but didnāt publish until 2013.
YamaP tried reading it but canāt follow it tooā¦
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ā å±±ę¬å¤§ä» (@DaikeYamamoto) September 19, 2019
[Optional] The science
Prof. Katsuraās research is on utilizing two theories to describe solids: Hubbard model and Nagaokaās theorem, which I will try to outline below:
Hubbard model is basically describing how particles (like electrons) move in a solid (lattice), like how an electron move from one atom to another. Typically this is used to model things at low temperature for simplicity.
Nagaoka theorem is a specific theorem describing the electrons in ferromagnetic state (conductive things). There are some specific conditions for this model to work:
- Number of electrons with one less than the number of lattice points (so you have a hole, an empty slot without electron so that the electrons have room to move)
- Infinite interaction between electrons (so free movement, like in PAD)
With these conditions, the ferromagnetic state, where electron spins aligned, like āā, is found to be the ground state (most stable).
Combining the two
Now putting the two together, you have electrons freely moving in a lattice system, like a grid. They move in a similar fashion as orb movement in PAD, where the electrons exchange places with each other. And with reasons I donāt fully understand (sorry), itās similar to how the electrons align themselves to their stable ground state.
In short, electrons move like PAD orbs. Well thatās shocking.
So confused lmao
Don’t worry it took me 30 minutes to understand his explanation in the article… My brain exploded too LOL
I think this kinda explains how and why PAD is still the most visceral match-3 in the market till this day.
otsu
Yeah, it definitely has its charm… now in scientific sense too! š
Gah if I was able to translate the whole thing, I would definitely try to explain this so much more. I’m a infectious nugget for Science & this post peaked my interest the second that I noticed the article. Math & Science is my charm & ā¦ Conventions is my brutal weakness {as sometimes you might be able to tell from my sometimes staggering use of grammar} soā¦ damn lots of pictures, some videos, a couple of updates here & there, & voila, a perfect post in Scienceā¼ Lol! {Now, to the point, now we need to see why certain movements are used & why they’re used, which will also help with recognizing & actively doing certain orb movements on the fly, which then comes from all of us so you don’t have to do the work. I’ll retreat back to my Shadow Caveā¦ I need more sleep because I’ve an interview in a tad over 30 hours.}
There was only 2 paragraphs really talking about the science, in the article. Most of it was an explanation of how orb movement in PAD works! (That, I think we all know)
I’m a scientist myself too so it’s super fun for me to write about this, though I have no expertise in the topic. It’s pretty cool though!
Good luck on your interview!
I was hoping this would help me out with my PSI, but no.. it just made me feel stupid š