Origami Penrose Triangle (Alessandro Beber)

Origami Penrose Triangle (Alessandro Beber)


Hey guys, this is Evan from EZ Origami
and today I’ll be teaching you how to fold an origami Penrose Triangle
designed by Alessandro Beber. This is an awesome optical illusion and it’s
very easy to fold. This model requires three rectangular sheets of paper. Each
unit is folded from a rectangle with a dimension ratio of 1:2, so in order to
cut a rectangle of that size I recommend starting with a 6 inch square sheet of
paper and cutting in half horizontally. That will make two separate 3″ x 6″
rectangles and using them to fold the units will result in a model about 6.5″ wide. It’s also really important to consider the color of your
paper in order to get this illusion right. Ideally, you will choose three different colors and you’ll find duo paper that has three different combinations of
these colors where none of the colors repeat on the same side. So what I mean
by that is if the three colors that you choose are black, brown, and white, you
will need a sheet of paper that is black and brown, a sheet of paper that is brown
and white, and a sheet of paper that is white and black. So you can see that
these are three unique color combinations where none of the colors
repeat on the same side. And if you can’t find paper like this, you can easily
prepare some by gluing two sheets of paper together or simply painting your
own. Or if you just want to try this out with three different colors of standard
origami paper, your model will look something like this. And once you’ve
prepared your paper, then we’re going to start with our first rectangle with
either side facing up, and then 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 make your crease, and then you can unfold. And then we’re going to fold
up this bottom edge and align it with the crease that we just made. So we’re
simply going to pull up the bottom edge like this, and once it’s completely
aligned with that horizontal crease, then you can make your crease. Then you can
turn the paper over and then we’re going to do the same thing. So once again, fold up this bottom edge and align it with the existing horizontal crease. So we’re
just going to pull up the bottom edge like this, and once it’s completely
aligned with that crease then you can make your crease. And then you can unfold. Then we’re going to slightly rotate the model so that the creases we just made
are now held vertically and so this layer that we folded behind is now held
on the left side. Then from here we’re going to focus on the bottom portion of
the model. And now we’re going to make a small crease at a 60 degree
only in the center rectangle. So we’re going to do that by pivoting around on
this point that I’ve marked here which is basically where the leftmost
horizontal crease intersects with this bottom edge. So what we want to do is
lift up this bottom right corner and we want to pull it over to the left. And
once your paper reaches that point that I mentioned before, then you simply want
to make a small pinch mark along the bottom edge just so that we can pivot
our crease from there. Then you want to continue pulling the corner over to the
left just like this until the colored corner aligns with this left edge. So at
this point your paper should be aligned at these two places, then from here
you’ll see that the paper does not lie flat. So what we want to do is make a
small crease along this right edge and we want to stop our crease at this point
which is where it intersects with this existing crease here. And now we want to
valley-fold along that same crease. So we’re simply going to fold this colored flap
in half just like this, and at the same time you want to push over the right
side of the model by simply reinforcing that existing vertical crease. Then you
can continue all the way down to the bottom of the model, simply flattening
out the paper as you go, and you’ll see that the paper will flatten out and it
should come to a point at the bottom of the model here. And now we’re going to
make an angle bisector by folding up this bottom left corner and aligning it
with the corner of the flap that we just reverse folded. So we’re simply going to
lift up the bottom left corner and we’re going to pull it up until both of those
corners are aligned. Then you can make a sharp crease through all layers and then
you can unfold. And now we’re going to fold the small white triangle over to
the right along this vertical colored edge here. So we’re simply going to pull
that white triangle over to the right. You’ll see it should align with this
right edge as well, then you can make a sharp crease through all layers. And then
you can unfold. And now we’re going to turn the paper over so that the corner
with the diagonal edge is now held on the top right. And then we want to focus
on the bottom portion of the model here. And now we’re going to make a diagonal
crease similar to the way we did before, except this time we want our crease to
pivot from this bottom left corner and we want the bottom right corner to align
with this vertical edge in the middle. So we’re going to start by pulling this
bottom right corner over to the left, and again since we want our crease to pivot
from this bottom left corner. I suggest making a small pinch mark just to hold
the layers in place, then we simply want to align the bottom right corner with the
white edge in the middle. And once you have that then your paper should be
aligned in these two places. Then you can make a sharp crease through all layers. And then you can unfold. And once you have that, then you can slightly rotate
model, and this is one completed unit. Now you must fold two more. And if you have
the paper to do the three color scheme correctly, then you want to find a
rectangle that shares a color with the bottom half of your first unit here. So
in my case that color is brown, so for the second unit we want to start with
the brown side facing down and then the rest of the folding sequence is exactly
the same. So here are the first two units, and for
the last unit we want to take our final rectangle which shares a color with the
bottom half of the second unit here. So in my case that’s black, and we want to
start with the black side facing down. So you’ll notice that we started with a
different color facing down each time, so from here the following sequence is
exactly the same. And this is what you should have once
you’ve folded all three units. Then from here we’re going to take the first two,
which share this brown color here, and we’re going to lift them up like this.
So we want to rotate the first unit so that the reverse folded corner is held
on the top right and we want to hold the second unit so that the reverse folded
corner is held on the bottom left. And on the first unit you’ll notice that
there’s a pocket inside that reverse folded corner, and on the second unit
we’re going to use this top layer of paper as our flap. So now we’re going to
lift up both units and we carefully want to bring them together while inserting
the second unit’s flap inside of the first unit’s pocket. So you want to make
sure that only the top layer of paper goes inside of that pocket and then you
want to continue pushing both units together until they’re completely
aligned. And now you can see that the two brown flaps are aligned at the top and
they also align at the bottom of this vertical edge as well. Once you have that
then you can turn the model over and then we’re going to focus on the top
portion of the model here. So to lock the two units together, we’re going to start
by mountain folding along this existing crease, so we’re simply going to mountain
fold the top layer of paper behind just like this. Then you’ll notice that we
have this small white triangle here and we just want to valley-fold that inside
of the same pocket by folding it in along an existing crease. So just tuck it
inside of that pocket, just like this, and then we also want to fold down this top
triangle along an existing crease as well. So just flatten that out, and once
you have that, then you can turn the model over and we’re going to slightly
rotate it like this. And now you’ve connected the first two units. So from
here we’re going to take our third unit and we want to hold it with the reverse
folded corner on the bottom left. Then we want to lift up all three units and
we carefully want to bring the second and third units together, again making
sure that the third unit’s flap goes inside of the second unit’s pocket just
like we did before. You want to make sure that only the top layer of paper from
the third unit goes inside of the second unit’s pocket, then you want to continue
adjusting the units until they look something like this. And as you can see,
these two black flaps align at the top of the model here and they also
align at the bottom of this vertical edge as well. And once those units are
aligned then we’re carefully going to turn the model over and we’re going to
focus on this top section here. So again we’re going to lock these two units
together by first mountain folding this flap behind along an existing crease. So
we’re simply going to tuck this top layer of paper behind, just like this,
then you’ll notice this small triangle which we want to tuck inside of the same
pocket by simply valley folding along an
existing crease. So just tuck that inside of the pocket as well and then we can
just fold down this top triangle along an existing crease. So just flatten
everything out, and once you’ve done that then we’re going to turn the model over
and we’re going to slightly rotate it once again. And now you’ve connected the
second and third units. And now we need to connect the first and last units
together the same way. And I find it easiest to do that by carefully
separating the two units on the top of the model just like this. Then again we
carefully want to slide the first unit’s flap inside of the last unit’s pocket
just like we’ve been doing. Again, make sure you only slide the top layer of
paper from the first unit inside of the third unit’s pocket and you’ll see that
the units will pretty much align themselves. But if not, you want to make
sure that both units are aligned at the top of the model here and make sure they
align at the bottom of this vertical edge as well. And once you have that, then
we’re going to turn the model over one last time and again focus on this top
section here. So again we want to start by mountain folding this top layer of
paper behind along an existing crease just like that
then you’ll notice this small triangle which we want to tuck inside the same
pocket by simply valley folding along an existing crease. So just tuck that inside
like that and then you can fold down this top triangle along an existing
crease as well. And once you have that, then you can turn the model over and
your origami Penrose Triangle is complete. I hope you’ve enjoyed this
video tutorial on how to fold an Origami Penrose Triangle designed by Alessandro
Beber. Feel free to upload photos of your completed model to the YouTube
Gallery on my website to be featured here in my next video or simply upload
your photos to instagram with the hashtag #ezorigami to be featured here
as well. Also, be sure to check out Alessandro’s Instagram and Flickr
photostream for more of his impressive work. I actually had a chance to meet him
at the 2017 OrigamiUSA Convention and his work is really incredible in person,
so definitely check that out. And if you’re also interested in origami
tessellations, be sure to check out his latest book called Origami New Worlds. I’ll post links for everything in the video description below. And if you like
this video, please give it a thumbs up or leave a comment below. I’d love to hear
what you think! And of course, subscribe to my channel and hit the notifications
bell for more videos like this. Thank you for watching and I’ll see you in the
next video!

19 thoughts on “Origami Penrose Triangle (Alessandro Beber)

  1. I hope you enjoy this new tutorial! What would you like me to teach next?
    Tag photos of your Penrose Triangle with #ezorigami to be featured in my next video!

    Check out my Etsy shop for EZ Origami t-shirts: https://etsy.com/shop/ezorigami

  2. Very neat design and great video tutorial Evan. I've wanted to fold this since I first saw it at 7OSME and have never got round to it, so this is good motivation! Alessandro was one of the special guests and he taught his 'Traped!' model, which was very cool too.

  3. Hi Evan. Nice presentation. When you lay down you finished model in the video, the white paper on the right appears gray which I think throws off the final optical illusion a little bit. Each of the three colors should be seen uniformly twice. Also are you planning on attending OUSA convention this year? I plan on going this year for the first time. (iRa, sunmaid1)

  4. Hi I loved your videos they are amazing I tried making a channle can you please subscribe
    It has origami and lots of other things my channle is EZ journey and scroll down until you se the logo like this

  5. Hi ! I really like your design fractal star and logarithmic pyramid. Do you plan to publish diagrams in your book ? Thanks for your good job on YouTube.

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