Hello, today
we will be folding an Origami Compound of 5 Octahedra designed by
Meenakshi Mukerji.
This is a great modular model, and it's not very difficult to fold.
Diagrams for this model can be found in Meenakshi's latest book called "Exquisite
Modular Origami."
Also it's important to mention that this
model's final shape is often referred to
as the Third Stellation of the Icosahedron.
The first origami version of this model was first introduced by Dennis Walker as a 60-unit
modular, but luckily Meenakshi Mukerji adapted the original designed to
create a thirty unit version that we will be
folding today
This model requires 30 square sheets of paper.
Each unit is folded from one square, and I recommend using four inch squares to fold
the units. You can fold all of the units using the same colored paper to create a
model like this,
or you can use five different colors
to create a model like this.
I'll be demonstrating how to fold the five-colored version of this model, so in order
to fold it, you'll need six sheets of each color for a total of thirty sheets of
paper
Now we're going to fold our first unit.
And if you're using paper with color on one side and white on the other, then start with the
white side up.
And we're going to start by folding in half vertically.
So take this right edge and fold it over to
the left edge.
Align the corners and the edges,
then make your crease,
and then unfold.
Now we're going to fold the left and right edges into the center vertical
crease that we just made.
So let's start with this right edge, and we're just going to pull it in like this.
Align it with that center vertical crease,
and then make your crease.
Then we want to do the same thing with this left edge, so just pull it in like this,
align it with that center vertical crease,
and then make a crease.
And once your model looks like this, then you can unfold.
Now we're going to turn the paper over.
And once it's turned over,
we're going to fold in half horizontally. So take this  bottom edge
and fold it up to the top edge.
Align the corners and the edges,
then you can make your crease.
And once your model looks like this,
then you want to take the bottom right
corner and align it with this
right-most vertical crease.
So you can just pull up the corner like this,
and as you doing this you want to make
sure that this edge extends from the
bottom point of the center vertical
crease
up to where this corner intersects with this
vertical crease here.
So once the entire edge is aligned,
just like this,
then you can make your crease...
But you only want to crease about half
way.
So crease until you reach that existing crease there,
just like this,
And then you can unfold.
And now we're going to be the same thing
on the left,
so we're going to take this bottom left corner and
align it with this left-most vertical
crease.
So you can just pull up the corner,
and again you want to make sure that this
edge extends from the bottom point of the
center vertical crease, up to where this corner intersects with that vertical
crease there.
So once the entire edge is aligned,
just like this,
then you can make your crease...
But again you only want to crease half way
So crease until you reach that existing crease there,
just like this,
and then you can unfold.
And once you've made these two new creases,
then you can unfold the model along this horizontal crease here,
just like this,
and then you can turn the model over.
Now we're going to reinforce these two
diagonal creases that we just made by
turning them into valley folds.
So in order to do that we're going to start
with this one here,
and we're just going to lift up the paper
and reinforce that crease by simply creasing it on the other side like this.
And then you can unfold.
And you want to do the same thing with
this crease here.
So we're just going to lift up the paper,
do the same thing by reinforcing that
existing crease,
and then you can unfold.
Now we're going to make a small
horizontal crease extending from this
crease intersection here.
And we're going to do that by lifting up
the bottom edge,
so we're just going to pull it up like this.
You're going to need to pull it up more than halfway, and then you start to see where the two
creases come together along that bottom
edge there.
And that's where you need to make your crease.
But before you do so, you want to make
sure that these two layers on the left
edge align
so you get a nice horizontal crease, and
you also want to make sure that you only
crease between the left edge and this left-most vertical crease here.
otherwise you'll have unwanted creases
on your completed unit.
So make that small crease,
and then you can unfold.
And once you have this,
then you want to rotate the paper 180 degrees and do the
same exact thing.
So we're going to make a small horizontal
crease extending from this crease
intersection here.
So just pull up the bottom edge,
and as soon as you start to see those
two creases intersect,
you know that that's where you need to make
your crease.
Again make sure that the left edges align,
and then you're going to make your crease
between the left edge and that left-most
vertical crease.
Just like this,
and then you can unfold.
So once you've made these two new horizontal creases,
then we're going to fold the left and right edges into the center vertical
crease along existing creases.
So let's start with this right edge, just pull it in like this,
and then you're going to do the same thing on
the left edge. So just pull it in, again along
an existing crease.
And once you've done that,
your model should look like this.
Now we're going to create two new diagonal creases by folding along creases that
we already made.
So, if you turn the model over,
you'll notice these two diagonal creases here.
These are the creases that we will be using
as references
So, if you turn the model back over once
again,
then you'll notice that the first crease
on the back extended from this point
here,
through the middle, and up to this point here.
That'll be the first crease that we are working
with,
and in order fold along that crease,
we're simply going to lift up this bottom edge,
bring it over to the left,
and then you will reach a point where the
paper wants to fold along that existing
crease.
And once you have reached that point,
then you can crease through all layers, just like this.
And then you can unfold.
And now you want to do the same thing in
the opposite direction.
So, in order to do that,
you're simply going to lift up the bottom edge of the model,
bring it over to the right,
and again you will reach that point
where the paper wants to fold along the
existing crease.
So, once your model looks like this,
then you can make your crease.
Again, crease through all of the layers,
and then you can unfold.
Now we're going to make a valley fold by
folding over this left edge here.
And were going to do that by lifting up this
bottom left corner,
and we're going to pull it over,
and what you want to do is make sure that
this edge aligns with this bottom-most
horizontal crease, here.
So, you can start at the left edge and work
your way over to the right,
aligning the edge with the crease
and once the entire edge is alligned, then
you can make a crease.
And once you have this,
Then you want to rotate the paper 180 degrees,
and then we're going to do the same exact
thing on the bottom left corner here.
So once again we're going to take this
bottom left corner and we're going to pull
it up like this and align this edge with
this bottom-most horizontal crease.
So, align the edge with the crease.
And once the entire edge is aligned, then you can make your crease.
And once you've done that to both sides,
then you can unfold both of those corners that we just folded in.
Now we are going to reverse fold along the two creases that we just made.
And we're going to start with this one on
the bottom,
and we are going to do that by first separating the layers on the left side of the model.
So, just put your finger in between the two layers,
then what we want to do is push in on
the left edge of the model. So, just push
it in like this.
And you will see that it will not lie flat.
So, in order to make it lie flat,
you want to push the rest of the layers down along this horizontal crease here.
So just pull everything back down, just like that,
and you will see that everything will start to collapse along existing creases.
And once you have this,
then you want to make sure that you take this right layer of paper and pull it
out on top of the rest of the layers,
just like this.
And then you'll notice that there's a
little white triangle on the bottom of
the model.
And we want to hide that triangle by
reversing the crease and making it a
mountain fold.
So, once the triangle is hidden underneath,
then your model should look like this.
And then you want to rotate the paper and do the same exact thing.
So once again, we are going to start by separating the layers on the left side
of the model.
So, put your fingers in between the two layers.
Then we are going to push in on the left edge, just like this,
and you'll see that the layers won't lie flat, just like they did before.
So again, you have to pull the layers down along this existing horizontal crease,
just like this,
and everything will start to collapse along existing creases the same way that they did
before.
And once you have this,
then you want to take this right layer
of paper and pull it out on top of all
the others.
Then you should notice that little
white triangle,
and what you want to do is reverse that
crease by making it a mountain fold.
So flip it inside like that,
and then your model should look like this.
And now you can completely unfold the
model.
Now they've completely unfolded the paper, I want you to focus on these two creases
that I've marked here.
Now we're going to start by working on this
horizontal crease,
and what we're going to do is pinch it
from the top to make it a mountain fold. So
we're simply going to pinch it like this,
just to make that crease a mountain fold.
And then what we want to do is fold it down along this existing crease that I've marked
here.
So we're simply going to pull it down like this.
So once your model looks something like this,
then you want to take this corner here
and pull it in towards the center of the
model along this existing crease that I've
marked here.
And we're going do that by pulling in
this corner,
just like this.
And as you bring it in toward the center of
the model,
you'll see that the paper will start to
collapse along the creases that you already
made.
And once you've collapsed the right side of
the model,
you'll notice that it will not lie flat, 
and it should look something like this.
And now we're going to do the same thing on the left.
So we're going to rotate the paper, just like this.
And i want you to focus on the two
creases and I've marked here.
So just like we did on the other side, we're
going to start this horizontal crease here,
and we're gonna pinch it from the top to
make it a mountain fold.
So we're going to pinch it like this.
And as soon as that crease is a mountain fold,
we're going to fold it down along this
existing crease that I've marked here.
So we're just going to fold this flap down
just like we did before.
And then you must look something like
this.
And just like we did before,
we're going to take this corner here and
fold it into the center of the model
along this existing crease that I've marked
here.
So we're just going to fold it in like this.
And as you're doing this, it'll bring the other
layers with it.
And you'll see that it'll start to
collapse along the existing creases.
So just reinforce these creases,
and then the model should look something like this.
At this point your model will lie flat if
you try to bring both of the edges
together like this.
But we really want to keep it open so
that we can work on the inside layers
for a little bit.
So we're going to start by reverse-folding along this crease that I've marked here.
And we're gonna do that by first
separating the layers on the top edge
of the model,
just like this.
So you can put your finger in between
those two layers,
and as you doing that, you want to push in on the right edge of the model, just like
this.
And you'll notice that the layers won't
lie flat.
So in order to make them lie flat,
we're going to have to pull them up along
this horizontal crease that I've marked here.
So just pull the rest of the layers up
like this.
Then you'll see that they'll start to lie flat.
And once your model looks like this,
then you want to take his top left layer of
paper and pull it on top of the other
layers just like we did before.
And then you should recognize that
little white triangle that we saw earlier,
and what you wanna do is the exact same
thing
by reversing that crease and making it a mountain fold.
So once you've hidden that triangle,
then your model should look something like this.
And now we're gonna do the same thing on
the other side.
So we're going to rotate the paper,
and then we're going to reverse fold along this existing crease, just like we
did before.
And again, we're going to start by
separating the layers on the top edge
of the model.
So you can put your finger in between those two layers.
Then you want to push in on the right edge of the model, just like this.
And then you'll see the layers won't lie flat.
So in order to make them lie flat, you have
to bring them up along this
horizontal crease that I've marked here.
Just pull them up like this,
and you'll see that the model will start to collapse along the existing creases.
And once you have this, then
you want to take the top left layer
of paper and pull it out on top of the
other layers just like we did before.
And once you have this,
you'll recognize that little white
triangle.
And we simply want to reverse the crease by turning the
valley fold into a mountain fold.
And once you have that,
then you can bring the top and bottom
edges together, just like this.
Flip the model over,
and then it should look something like
this.
Now we're going to make a valley fold
by pulling over this left edge
and aligning with this layer underneath.
So we're going to do that by again pulling over the left edge, and as soon as the edge
aligns with the layer underneath, then you can make your crease,
just like that.
And then you can turn the model over and
do the same exact thing.
So we're just going to pull over this left edge here,
again aligning with the layers
underneath,
just like this.
Then you can make your crease.
And once you done that to both sides,
your model should look like this.
Now we're going fold this right edge
over and align it with this existing
vertical crease.
So we're just going to pull the edge over like this,
and as soon as it aligns with that crease,
then you can make a crease.
And once your model looks like this,
then in turn it over and do the exact
same thing on the other side.
So you're just going to take this right edge,
pull it over,
and as soon as it aligns with that vertical
crease,
then you can make a crease.
And once you've done that to both sides,
then you can pull apart on the tabs that you just folded in,
and then you can reinforce the crease that I've marked here
by pinching it from the top and making it a
mountain fold,
just like that.
And once you've done that,
then this is one completed unit.
Now you must fold 29 more.
Once you've folded all 30 units, you may want to separate them by color.
At this point you should have six units
of each color and you're going to need to pick two
units to start the assembly.
I'm going to start with a blue and
an orange unit, but before we start putting
them together, we're going to have a closer
look at this blue unit here.
And you'll notice that it has 2 big flaps like this,
and if you flip it over,
it has to be pockets underneath like
this.
So from here you want to take a second unit,
and what we're going to do is insert the second unit's flap
inside of the first unit's pocket.
So we're going to do that by bringing the flap inside the of pocket, just like this.
And i find a lot easier if you flatten out the first unit slightly, just to get
second unit's flap inside.
Push the second unit's flap all the way inside, just like this,
and once you have that,
then you can squeeze both sides of the
first unit together just to hold the
second unit's flap in place.
Now we're going to connect the third unit
the same way.
But before you do that, you need to make
sure these third unit is a different
color from the other two units that you already connected.
And once you pick your color,
then you're going to insert the third
unit's flap inside of the second unit's
pocket.
So we're going to do that, just like we did
before,
so bring the flap inside of the pocket,
and again makes it a little bit easier
to flatten out the second unit slightly,
just to get the third unit's flap inside.
And once it's all the way inside,
then you can squeeze both sides of the
second unit together,
just to reinforce that crease and to hold the third unit's flap inside.
Now we're going to connect the fourth
at the same way. And again, you want to
make your fourth unit is a different color
than the other three units you already
connected. And then you're going to insert the fourth unit's flap inside of the third
unit's pocket, just like we did before.
Again, slightly flatten out the third unit
just to make it easier to get the flap
inside.
And once you've done that,
then you can squeeze both sides of the
third unit together, and then it should
hold the fourth unit's flap in place.
Now we're going to connect the fifth unit the same way.
Again, make sure it's a different color.
Then we're going to insert the fifth unit's flap inside of the fourth unit's pocket.
So just put the flap inside of the
pocket, just like this.
Again slightly flatten out the fourth unit,
and push both sides together.
And it should hold the fifth unit's flap in place.
And once you have this, than you want to
connect the first in the fifth units
together.
So we're gonna do that by pulling out
the first unit's flap
and inserting it into the fifth unit's pocket just like we've been doing.
Again, slightly flatten out the fifth unit,
side the first unit's flap inside,
and now you've connected five units.
Now we're going to connect the sixth unit the same way.
But the sixth unit is different because it's
important where you place a relative to
the other units.
Now since my sixth unit is blue, it's important that I place it directly across
from the other blue that I already connected. So i would put it right here,
and in order to connect it, I simply
attach it to these two units the same
way we did before,
just like this. And now you've connected
six units.
So in order to connect the seventh unit,
what I like to do is rotate the model
clockwise, just so I can see what color I
need to attach next.
Now you can see that there's a pink unit at
the bottom of the model here,
which means I need to attach a pink unit
directly across from that pink unit here.
So in order to connect that unit, I'm simply going to attach it to these two units
the same way we did before.
And once you've done that, then you've
connected seven units.
Now we're going to connect the next
three units the same way,
and we're going do that by first rotating
model clockwise
and attaching the eighth unit the same way
we did the other ones.
And we can just repeat this process
until we've connected ten units.
And once you have this, then you've
connected ten units.
So in order to connect the rest of the
units, you have to think about the
geometry of the final shape.
Now the final model is made up of five different colored octahedra,
and each octahedron has 8 faces.
Each of the faces is an equilateral triangle, so by looking at the units you've
connected so far, you can figure out
where to connect the next unit by
finding out exactly where it makes an equilateral triangle with the other units of
the same color.
So by connecting a blue unit here, I
created the equilateral triangle
that I was looking for.
And at the same time, I can tell that a yellow unit goes here because wherever
five years to come together they all
have to be different colors. So just
continue adding units this same way, by
creating equilateral triangles and by
making sure that no two units of the
same color ever touch.
And you can repeat this process until you've connected all 30 units.
I hope you've enjoyed this video
tutorial on how to fold an Origami
Compound of 5 Octahedra designed by Meenakshi Mukerji.
Please comment, rate, subscribe, and thank you for watching!
