Korean Names Combinatorics
Audience: high-schoolelementary-schoolmiddle-school
Tags: combinatoricslanguage
This is a small interactive webapp that covers a simple combinatorics problem in a journey / story-style fashion. It should be easily digestible for almost anyone since it doesn't cover any advanced mathematics, and it has a few small interactive elements that the viewer / user can play with. It gives a small visual understanding of how to calculate total combinations between independent options, and then applies that to a question on Korean names - since it might intuitively seem like there aren't a lot of such names, but it might be surprising to see how fast such numbers grow in combinatorics, depending on the viewer / user's familiarity with the topic.
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Clear presentation.
I thought the styling of the article was really nice. I learned more about korean naming systems than mathematics, but found it really interesting.
Korean culture with some math involved, pretty cool !
Note there are some phase in the complete Hangeul creator at the end where you can’t click on the bottom row.
It was interesting to apply combinatorial to Korean names, but didn’t really get to why it was just from multiplying. It is interesting, but didn’t feel like I understood it more.
Very unique, nice art style
It was lovely to see maths linked to something as seemingly unmathematical as the Korean language, and the peacefulness in the way the web app presented the content was delightful
For the age group specified, I think this is an interesting cross-cultural way to introduce combinatorics. The guided tool for building characters is good. I learned Korean for a short time myself, and the consonant-vowel-consonant structure really does invite mathematical questions. I think giving a few name examples would have helped along the way. For example “Let’s make Park Lee” or something to that effect, showing how each letter falls into place. Or, to illustrate your point of names that wouldn’t make sense, “though possible, there is likely no one named Lee Leelee.” Though, that may make it more of a language lesson than a math lesson. Overall, a nice webapp. A note: I did run into an error at the end where it seemed the oration and presentation broke and started repeating the parts where the real-life constraints were listed.
The idea for this topic is novel and kinda interesting. The explanation involved is clear too without any heavy jargons. But the takeaway could have been better. Like concluding with an estimate of how many possible names can exist after correcting for the 4 points mentioned, if that is possible. Or someway to visualise how the numbers increase or to compare a trillion with something else. The korean alphabet interface was great, and is actually a great resource for somebody curious about korean names. Especially with K-pop on the rise. One suggestion from my side is that probability can also be combined to make it more interesting, like taking the total population or a number of people and estimating how much of a chance one has to meet a same or similar name ideally. Ofcourse this might not be feasible in the real world with all those points mentioned but it can be given a try.
The webpage is very hard to use on mobile, which should have been a disclaimer.
In any “collision” problem there should be a mention of the birthday paradox, which tells us that even if the names are random we should actually expect a few people to share the same name.
A more detailed view of actual korean names would be interesting. As well as a similar breakdown of english with syllables instead of looking at random words like xxxyyyz
The idea is interesting and has potential, the art style is very good, but the webapp must be improved for it all to come together.
I think this was well done. I imagine it took a lot of work.
Memorable entry! I like that it’s basically a video, and the explanations and visuals were great. I didn’t like that I was locked to a certain reading pace. The mathematical content itself could be a bit more in-depth.
This is fantastic! Lovely style and presentation. Only note is the “next” button can be hard to find sometimes as it doesn’t contrast much with the background.