do you have that you can not bend a
A4 size paper sheet that this
times maximum wanted to try vouziers the
time and you will find
incidentally a pay of length of 1
km you will come to the fold that
only 12 times I reassure you
would equal the established world record
by ghani vannes this young student
in mathematics succeeded and shown
during his thesis
a formula that is handy that
allows to determine the length of
leaves that should be small thickness
e to support it n times by itself
or of course this world record has
been largely surpassed
especially with students from the hem
haiti who managed to fold 13 times
a sheet of paper
gold that they used not far from 5
km of length of sheets of paper
just that then with this formula has
demonstrated galvanic
we could think further we could
to wonder what would happen
if we click for example 42 times a
sheet of paper and beating by folding 42
serene time even sheet of paper
the thickness that would be obtained from the
sheet of paper will be greater than
earth-moon distance
just that and even stronger with 51
folding paper morning a thick
greater than the distance earth-sun
if you do not believe I’ll leave you
try this at home and you’ll tell me
what happens to you is a sheet of
paper
so before if we have time I’ll
show you an origami that is
impossible to fold it otherwise than the
that the traditional organic organism
classical
I hope that
program suits you and I you
propose to start to start I
will tell you a story
where does the rigali water come from the origami of
China and would have appeared in the 6th century and
will be brought by monks
Buddhists in Japan it’s actually
in Japan that origami has acquired its
letters of nobility the origami of the word to
wheels that hodie fold back and moc put
on foot means the art of folding of
paper point turn is consistent
origami is an art and it’s a year
anchored in Japanese culture in
testifies the moving story
sadac sadako sasaki’s child is a
unfortunately dead child due to the
World War II
after leukemia two months later
the first atomic bomb
and even before you finish folding
thousand paper cranes that according to one
old Japanese legend allows
to grant you to see your answer
longevity health wish to fulfill
origami is an art a technical art
there is a wealth of techniques
whose cost under Damas the blow this
Damascus is a particular technique
of origami who using small
parts assembled in between them allows
creating aspheric surfaces on
Damascus hit can even be
assembled from a hundred pieces
there is also cold sign by
example the fractal but that is
interesting with the shot is damask
that is the precursor of
modular origami this technique that
I will develop thereafter
let’s go back to the classic organic and art
which makes it possible to transform a simple
sheet of paper into an object in three
dimensions such as animals the
traditional paper planes that everything
the world learned at school to
realize when he was little and ben
if you have fun unfolding it at
unfold your origami you will get
well on the initial sheet but with in
more lines marked lines
broken and that in the jargon of
the organism this is the quiz not wrong
the neck at 14
it’s the signature of your origami and
of course the quiz not wrong there are some
an infinity
there are as many chris patten as
origami for me
it’s these images that you see there
they are very particular because
that he feels that certain poetry is
emerges as if we were in phase of
architectural plans of great monuments
in any case and know not wrong
something very political
we might wonder from
an origami what would be the quiz pattern
which would result for example this
origami of the dragon yet we get there
this is the result it is enough
just unfold it and we have our more
patterns and one might wonder the
reverse
can I explain that from a
blow and this pattern any chris
patten you can get an origami and this
for example by adding seats
additional to the lowest term
initial and low to this question one does not
can not answer them
we do not know mathematicians
are looking into this problem and have
managed to demonstrate that it was
there a problem
complete np then the complete np problem
what is it is part of a
big family who is the family of
millennium problems so I do not
do not know if you know the palm tree
millennium
but if you can prove it
you will get a million dollars
for anyone who will succeed in
demonstrate if you do not know what
do your Sunday afternoon I
very strongly invites you to try
to demonstrate the problems of a
technology
so you who have a little bit of
time and as I wanted to promise I will
introduce you to an origami that is
impossible to make in origami
traditional origami for
that I’m going to ask you to bring a
artwork
I made modular origami
thank the girls
so for those who
and recognized j of a surface
mathematics well known to
mathematicians
it’s a thor or a donut a
donut with a hole if you prefer
origami as I told you is
impossible to make in origami
classic because it is too complex to
realize with a simple sheet of
paper
I will describe you a little bit
what technique I used for
to realize this work
gold it’s about the modular origami the
rig modular origami is the cousin of
the traditional origami that you
all know it is related to the neck
under damask I introduced you to
the little help the little module of
small pieces are the same size
we come the assemblies and close by
close is going to make a structure in three
rather complex dimensions so for
the little anecdote took me 1860 and a
piece to realize this work there
and for most of you
you’ll know it’s a number
first
so here is the little wink
mathematics so here is a small
animation for those who do not arrive
out to see me reassure you
after the conference for the most
curious of you will be able to come
see a little closer then what
is very interesting with this work
there something that appeared
regardless of my climbing and that on
its surface and line or rather of
curves appeared and his curves there
we find them oddly in nature
if we take for example sunflower or
the heart of the sunflower and have fun
to draw the lines his curves of
the inside to the outside
you will notice that his curves are
quite similar is strangely
similar as if there was a link
deep between nature and origami
more concretely where we could
find or find origami and
concretely what is it for?
try to show you that origami has
a utility in the lives of all
days do you know what it is
no one
in fact it is small crystals
formed by long chains of
molecules called polymers and
long carbon chain comes
make arrangements come to fold in network
to form these small crystals
this is the form that the
long carbon chains then a
another example staying in the world
from the infinitely small we can see
big molecules in nature
find a lot of fat
molecules and its big molecules
we can see them as leaves of
paper just waiting to be
feet and concretely the
macromolecules for example this
protein that there is in each of
we are an exceptional laboratory
for biologists indeed understand
the structure
how they fold their form
complex makes it possible to develop other
molecules that helps to target them and
why not create new ones
pharmaceuticals
again an example one of infinity
small we can find this form
rather special that is graphene
what is graphene graphene
is a revolutionary material that is going
enable huge advances and
to increase the capabilities of our
electrical and electronic devices
in graphene there really is everything
that he needs a sheet of
paper and will allow in the future of
see connected objects
where rainy modulable such as by
example a tablet curved by
example then another example so we
will go from the infinitely small to
the infinitely big or origami
find his place
this is the space domain indeed
you know all the panels
solar and power satellites
but do you know my fleece sails
the solar sails straight out of
science fiction novels is a
concrete solution for exploration
space to very very very large
distances to so great
distance that solar energy can
more fueled enough the
solar panels or solar sails
and you will understand this solution
ask for gigantic surfaces sailing
solar and if you follow my
reasoning
these solar sails must succeed in
fold them to put me in
launchers and once in space
succeed in unfolding them a real
technical challenge
it’s a real challenge and you’ll understand
that if you can not unfold
his solar sails once in
space
you lose your one million
dollars that you have hard success
and won by demonstrating the problem
is complete then to do this 1
japanese engineer kohei omis aulas a
developed a folding technique that
would solve this problem
so this type of looting you have it
already all met it is a
folding simply folding of
road maps mow has already
used road maps so you
find this way of folding his
carp has it 6 1 to find you
in the lost jungle and that you
take out your card that told you
worse and you will think back to this after
noon apart from this lecture
I wanted to show you origami a
another facet is at millennium rich
of tradition is also rich
lessons
by its questions it raises
these innovations of the infinitely small
with the molecules going through your
smartphone or towards the infinity
big with space exploration in
outside our solar system
I think origami still beautiful days
in front of him thank you
[Applause]
”
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