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  • If you take a cube and you cut

  • it up into 27 smaller cubes

  • and then after that you take out

  • every cube on the face of the

  • original cube and then the cube

  • in the middle of the original

  • cube you end up with 20 cubes

  • left that kind of form a "frame"

  • of the original cube; that's a

  • level 1 Menger Sponge. To make

  • a level 2 Menger Sponge you

  • repeat the process on every one

  • of the 20 constituent cubes that

  • you made from cutting up your

  • original cube. So if you keep

  • going you eventually make a

  • three-dimensional fractal curve

  • that has zero volume and

  • infinite surface area. So that's

  • a Menger Sponge.

  • Are Menger Sponge was part of a

  • larger project called MegaMenger

  • sponsored by the Queen Mary

  • University of London and the

  • idea was that 20 sites around

  • the world would each build a

  • level 3 Menger Sponge so that

  • in theory we would have together

  • built a level 4 Menger Sponge.

  • And that's the largest Menger

  • Sponge thats ever been built

  • out of business cards.

  • So when we decided that we

  • wanted to build this sculpture

  • we thought that this was a great

  • way to not just do it within

  • our club, but also get the entire

  • MIT community involved.

  • We held club meetings, we held

  • study breaks and we got a ton of

  • people, from freshman to seniors

  • to graduate students to faculty

  • and staff, coming and folding

  • this thing with us.

  • The cool thing is, the Menger

  • Sponge actually has an

  • unexpected connection to MIT.

  • One of the first, if not the

  • first people to build this

  • structure out of business cards

  • was Dr. Jeannine Mosely who did

  • her PhD at MIT and she's

  • currently this tremendously

  • successful and prolific origami

  • artist.

  • It was almost 20 years ago that

  • I learned how to make the

  • business card cube from some

  • verbal instructions. Initially

  • I wasn't particularly excited

  • about the cube because its not

  • that interesting of a shape. But

  • after a while, my son who was

  • seven, I taught him how to make

  • the cubes and he was playing

  • with them and I had two cubes

  • that were seated side by side on

  • a table and I was just looking

  • at his cubes and I said, "Oh my

  • God, look at the flaps! You can

  • tuck them under each other,

  • like this, and if you do you'll

  • end up with two linked cubes."

  • They are very firmly attached to

  • one another and you can just add

  • more and more cubes and build

  • any structure that you can think

  • of. Around this same time, the

  • company that I was working for

  • changed its name. And all my co-

  • workers knew that I had been

  • doing origami with business cards

  • came by and gave me their old

  • business cards. So I had a very

  • large collection of business

  • cards to work with. And someone

  • was teasing me, "What are you

  • going to build with all those

  • cards?" And I said, "Oh, I don't

  • know. Maybe I'll build a level 3

  • approximation to a Menger Sponge.

  • I only need 48,000 cards to do that."

  • It took me ten years and I

  • finished it in 2005. And since

  • then a lot of people who've read

  • about it have said, "Hey, I want

  • to build one too!"

  • But what we didn't realize was

  • how much work building a level 3

  • Menger Sponge would be. Once we

  • started folding we were like,

  • "Ooo, this is going to be super

  • time-consuming and we clearly

  • bit off more than we can chew."

  • So instead of building a full

  • level 3 Menger Sponge we just

  • built one of the rings that forms

  • one of the faces. Which would be

  • eight level 2's and this would be

  • only 25,000 business cards.

  • We also heard recently from the

  • worldwide MegaMenger Project

  • that including us, when you

  • combine everyones builds together

  • built a level 4. And that's

  • absolutely insane in terms of the

  • number of business cards, the

  • number of man hours. And I think

  • to be a part of that, we're

  • super excited.

  • Why the Menger Sponge? I don't

  • know, there is just something

  • about it that. . . everybody

  • just seems captivated by it. And

  • it's important, I guess, when

  • you set out to build something

  • this big and you want to get

  • hundreds of people to help the

  • end goal needs to be something

  • that inspires them and makes them

  • persevere and keep going until

  • its done.

If you take a cube and you cut

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メガメンガー:MITでメンガースポンジを作る (Mega Menger: Building a Menger Sponge at MIT)

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    Jelly に公開 2021 年 01 月 14 日
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