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A 60-year-old math problem solved by a mathematician in his 20s

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60 Years of Mathematics Difficulty ‘Sofa Moving Problem’
A mathematician in my 20s solved it
Entered 2024.12.76. 10.01 am
Modified 2024.12.17. 9.55am
Original text of article
Reporter Jae-rin Lee
TALK
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Figure 1.3: The mnovement of a moving sofa in the perspective of hallway (top) and
(bottom).
The sofa proved by Baek Jin-eon, a researcher at Yonsei University, to be the answer to the ‘sofa movement problem’.
When the shape of the upper hallway position frame is fixed and the sofa is moved, the picture below shows the sofa.
The position name is fixed and it looks good when the hallway knee moves. Provided by Baek Jin-eon

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A Korean mathematician in his 20s appears in an American high school math textbook.
Solved a 60-year-old problem that was so well known that it made a big name in the mathematics world.
What is gaining attention:
Graduated from POSTECH with a degree in Mathematics and received a doctoral degree from the University of Michigan.
Jin-eon Baek (29), a researcher in the Department of Mathematics at Yonsei University who acquired the framework, said, ‘The sofa moves.
The results of solving this problem were pre-released on the 29th of last month.
It was published on the site ‘Archive: After the paper was published,
Famous mathematicians shared researcher Baek’s paper on social media and
Foreign media such as the specialized British online media ‘New Scientist’ research
We are excited to report the results. Researcher Baek’s current thesis
is going through a screening process. The problem of moving the sofa is optimal
It can be used in robot communication fields where solving problems is important.
all

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The problem with moving the sofa is that the width is 7 and the floor is bent at a right angle.
What is the largest plane shape that can be passed through?
The door is a problem: you can either move it upright or disassemble it.
Can’t tilt. 1966 by Canadian mathematician Leo Moser.
Sihatda: Anyone can easily understand even if they are not a mathematician
In order to develop mathematical thinking skills, American high school textbooks
This is a problem that appears frequently.
The solution is not as simple as the problem itself. The problem arose
Over the next 60 years, several answers were proposed, but no definitive answer was found.
It has never been ordered. In 1968, British mathematician John Hemersley
A representative example is the sofa made of leaves. The former of His area 2.2074
A sofa frame shaped like a firearm was designed and presented. The length of each side is
Find a semicircle of radius 2/r from a rectangle of 1 and 4/T:
Then, attach two quartered circles with a radius of 7 on both sides.
There is no way to make a phone-shaped sofa:
In 7992, American mathematician Jobsup Gerberton Hemmersley created a sofa.
By doing this, we obtained the root area value of 2.2795. the sofa is against the wall
Considering the order of pulling, some parts may be placed along the boundary of the sofa.
Cut it thinly and slightly thicken the other parts to make it taller.
Burr’s sofa has a total of 18 curved parts. hundred studies
Won proved this time that Gerber’s sofa is the right answer.
am:

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Researcher Baek investigated the problem of moving sofas, including Gerber’s sofa base.
We analyzed the sofas that were most likely to be the answer and found the closest one.
I figured out the properties I needed first. Satisfied with these properties
It is clear that the sofa must have a mathematical quantity called ‘Q’.
It is clear that Gerber’s sofa satisfies the maximum value of Q.
It must be commanded. Researcher Baek is a researcher in harmonic geometry and computer programming.
We prove it using different types of knowledge, such as dreaming.
Kim Jae-hoon, professor of mathematical sciences at KAIST, said, “The problem of moving the sofa is
It is an optimization problem that finds the optimal answer under given conditions.
Human understanding of how objects move in space
“It is a problem that develops” and “In order to understand space, linear
Even though many fields of mathematics, such as algebra, group theory, and geometry, have developed,
The inability to find an answer to a seemingly simple problem is related to space.
It shows that human understanding is still lacking.
“Everything,” he explained.
Researcher Baek, who has been tackling the problem of moving a sofa since 7 years ago,
“This is because I had to research on my own for a long time without any results.
“It’s difficult,” he said. “During my school days, I won the National University of International Mathematics Olympiad.
In order to become a leader, I have been practicing thinking about math problems for a long time.
I didn’t give up, but I worked hard to solve problems and achieved this result.
It is said, “That power is very helpful in creating a framework.”

image text translation

ah –
That kind of device
completely
I don’t understand
there is
Go up

.

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