Science of Origami | TACHI Tomohiro | TEDxUTokyo

[musics]

panamera

My name is our KyoHiroshi Well I’m from that study of origami What everyone origami

Even though is I’d say whether it was owed once say

Doing do is I mean by that I think very little and say those who have the turtle research sell

I would like to introduce to say whether to have the

First

I wonder why I came to research the screen

There is a work as it follows that one

To in though I’m work to do at the time of the elementary school

Here

Yes Good luck thought this great school it is here from the front er in the work of 13 devil of

I was doing things learning how to carve

Deetto Kedomo This is a very that position complex form

It is made from one piece of paper

So this was very impressive for me in that impression

Especially from the viewpoint of the turtle, I am interested in this in particular

This is

It is to say whether the contents have happened to this

Behind modeling

There is such a pattern This works saying the development drawing

A diagram showing what kind of fold line is formed when returning again for one pad

You’re ne geometric pattern to be dominated geometric participation is A’ade This is the blueprint and see this

It is a design drawing to make this 3 dimensional shape and its design

Works like a moment ago when I realize my head with a sort of interactive puzzle composition

If you can make it

This is very exciting and this is my

Well Date

It has become a very strong motivation

It is in when it proceeds to a university in the Well in

I do not have anything to do but every time I see something in it I do a lot of creative work

Say many story can make have made of this it is also a piece of paper that had been doing things like

By doing so many different creations well

While studying at the architecture of bread, Johnny was also deeply embedded like this

Something in a very complicated form or a three – dimensional form can not be made from a piece of paper

so

that

It’s why I thought such a thing to try to make this style of say this

I wonder if I can make it in any form

It is not the screen in any form just there without having to cut the most hair

I hope these questions are heterogeneous These questions have been born

In answer Well Well for this question

I thought it would go is this work but this work I know of three-dimensional teapot

Originally modeled on computer

Represented as a modeled cut-off heteromorphic polyhedron faithfully on one sheet of paper

To the problem of folding

Become

By the side

We are thinking about various ways to stay faithful

It is a polyhedron, or polyhedron, is not it

It is made up of triangles, quadrilaterals and simple surfaces connected

Just keep connecting as it is, it will not be a piece of paper.

It is a way of thinking that it should be done

Once apart

And of course it is easy to expand to the plane

A gap will appear between the correct face and face

So I will keep waiting for this gap like Hida and bring it back again

I thought about that.

It is and there are five triangle seen in the way of this video to in the

I think that you will find that you are getting closer to each other and sticking together

The in one vertex is because attention to it is is, we hope to provide the five triangle here

Masu share Tei

It is happening that s which there were five points in gather at one point

In so problem that sterically make origami this origami is when there is some matter

To not be one aggregation say think of it that the Tteyuu how to fold summarized in one hand

The fruit that realizes it is not a very difficult idea indeed

The simplest example is that there are two points

If there are two points in the plane then you can lay it on this day God please cut it easily

You can do it

By the way, say if they become a kind of folding system What this Well fold line connecting the points of the two

line segment

Vertical and is configured It is raw for the time being in this this line segment to the line, that is light blue, which vertically bisects

Using a bisector means that the two points will overlap somewhat

Let’s see it now in two points , then think about what will happen if we added 2 points 3.2

I will

Actually this is it 4 I can collapse in a slightly warfare and throw the body over in three

However , it is a part that is becoming an important skeleton in the warfare of that fight

Actually I use the perpendicular bisector as before

What do you mean, this walking point is there

There are sides on each side hit the perpendicular bisector of each side

Pattern on the left side of this pattern is made

So this pattern ___ ___ ___ 0

When there are three vertical bisectors , one point is used for this character

It should finally Though everyone’s I think and wonder if that old a twist of that junior high school

This is a foreign body

Clogging start to the theorem Well this triangle of the Meiji Restoration

The center of the snowy circle crosses this perpendicular bisector

But in fact this is folded in three of the theorem is the point of one the three points because there is a theorem of the Meiji Restoration

It supposed to be that you have in this kind of thinking how the computer science this season stopping geometry gather to

You can extend it in the world

This extension is called follow noise, it is called

This is n

In the way that each emperor represents the area dominating the plane to when giving points

I can think

In other words, the area is only for a certain point

Closest when, for example, a convenience store is in a four level ground

So do you think that the broad area reason is where the combination is the closest?

Using the good is in the head if if in fact this cage suet

Hmm

It’s a boundary line that separates the area and the rookie, is not it?

Again it is said that there is a vertical bisector so when you fold this together with each other

It is actually based on Voronoi diagram that 10 gets stuck together and it is based on

I will add more complicated ways, but as you add a little zodiac,

And it will be able to make quite right and the original form in the plane was falling apart is gathered in one place

That’s why I thought about it

Feel it with

It is possible to calculate this and this to do the way that makes the fact that said you’d work you can see

You can do it

I actually programmed and made software by being able to calculate

This I

I regret it as software called Mizer

This is the shape of that rabbit, but the rabbit is also a polyhedron It is made of triangles and rectangles

And that it is connected and putting it in and it will make up its development drawing

is

Well, hey.

I wonder if this will work

Well this side of it is left sea person here is in the right ear to feel the sides that back this side of the face

It is getting

So you can do that far, is not it?

It is easy and I can only stay

In eh door Well, that actually there one trick it was generated by the computer

Since the cage production of broadcast and said, cutting Massey N’of this computer control

Well, there is a machine that will put on the Ethos folding line to God, so use it

Even if you attach a line, the last thing is already manual work

It is about seeing the movie right now Well that

It can be seen that go rapidly changing If you know that I do I think the color of the illumination of the background gathered

I guess it’s about 10 hours or so that time is completed in this way

To do

I have a question when I announce this as well so I can really create anything

Or

I showed you can make something like this, but I heard that question

If you make anything, it means means to make shapes that shape themselves

Whether not to whether objections limitations are present in origami as

That was such a question This is a very funny unresolved problem This is very

We will work on something that I think is interesting

That’s the work that is, mit’s computer service Eric and main

Collaborate with Mr.

Maeda ‘s proof that this gentleman was going forward challenged the unsettled problem

Indeed

About 10 years ago I did this, but the other day the lighting was completed and my older brother’s polyhedron was a convex polygon

Water-tight from paper

We can see that Tteyuu Kushiro cage possible in other words Well, a word 8 is such a thing me

It will be said

Everyone I’ve heard this far, I guess I guessed a bit like this

It is

It is after that That I feel exciting, that is to say, that I will thoroughly examine that theoretical thing

Let’s get excited

This origami

That’s why I’ve been doing research like this Well, it’s just a social leg specialist maid This is useful

Perhaps things like brains

It seems to be doubtful Well I talked about it difficult, but in reality this is like this

People who have fallen into exactly have repeatedly what chome or no relationship thawed

It’s there are gurus this is that it is, for example,

It shows the state that the horn of beetle is at the stage before such a mind

So this is a pupa if you eh cold and become a pupa spreading pot

In the natural world and the Tteyuu this this kind of cage is actually used is

I say self-organization that weaves up arbitrarily but thoughtfully

Human Eh When we make things with artifacts there are materials and tools and opportunities to make it

There is a design drawing to be here again, and I use this well by using it well, but the form of the living thing and

To be specific, there is a mechanism to make it in the material, and there is also a design drawing for designing it

Is not it such an effect without permission etc.

When the going made while exchanging that it might make something inspired by this kind of mechanism

Here ‘s what I thought

It is the idea of ​​two counties that showed up in other words , print a picture pattern on paper and stop it

After the chin put in range

Medium Three-dimensional story has developed and developed Thinking that such things can not be done

I am in

actually

This in response to heat or light in Hey micro scale is

Materials that will rise and arbitrarily arise are being developed and this kind of thing has been developed

You of the have

I guess it’s because the rabbit is still at the stage where it can be made,

I have a lot of unresolved problems and I am studying it

To become flat in three dimensions and to become flat from the solid means to make that origami

For example , it is possible to think that it is a king of architecture , for example, folding it

Open and open when needed

You can make things that can be used with such hypothetical buildings or changing shapes

The imagination has spread to what it is

The movement or to the the in I is not go also to design how do small movements of the problem

I need things like how to understand There are a lot of unresolved problems right now

Come and it is the result seems out to be

Various problems not only a fold that one of the 8 Well paper comes out 8

Though thing called Deetto Well familiar to some origami

Well from there will come out many unresolved problems

Here it is.

From a state where it was collapsed

It’s packed and it’s in this shape

Structural strength in this I Is Well collapsible soft away say when

I will tell you how to make it compatible with the structural strength required for construction

A broadcast that I made is a new answer when I find something new with such feeling

That

It will be born like a form that nobody ever saw

That kind of origami is sort of familiar fun Well it is familiar play

How to include Origami as an unexplored area of ​​humanity

We is not have to search very hard

Thank you for your kind attention today.

[applause]