In this video I’m going to show you how to fold some beautiful origami tessellations by combining tiles of the hydrangea designed by Shuzo, Fujimoto I first learned about this technique from Peter Buddha’s wonderful guide Which you can download for free from happy folding? Com I’ll start with explaining how the tiling technique works and how to alter the pattern to get a low intermediate or high density tiling and even more variations Then I’ll show you how to fold the low-density tiling but in such a way that it also explains how to fold other Densities, so let’s get started I’ll try to keep the section on the theory relatively short But if you’d like a more in-depth view you can check out the tessellation guide. I posted back in 2011 It’s a great resource especially if you want to start designing your own tessellation patterns in essence it talks about molecules and which requirements they have to meet so that you can repeat them to receive a tessellation The hydrangea tiling we’re looking at today is one example of such a molecule when talking about a molecule It’s really helpful to look at its crease pattern. This is the one for the basic hydrangea the pattern is especially easy to tessellate because it’s very symmetrical so Creating a tessellation is as easy as holding multiple hydrangeas next to each other so for example if we combine four Hydrangeas in a 2×2 grid we get this crease pattern and indeed This is the crease pattern for the low-density tiling of the hydrangea easy, right? But how do we get other densities? Well you can see these mountain folds right here? that’s where the tiles meet if we change that distance we receive a different density if We have the distance then the intermediate density tiling is the result and if we eliminate the section completely We get the high density tiling of course you could also increase that distance for example if you wanted to fold a nicely decorated frame for a photo and Can vary the distances of the tiles within one tessellation too so really you’ve got lots of options to make it your own now by shortening these creases you’re removing the tiles closer to each other and essentially overlapping the crease patterns of separate tiles But you could also see it as a modification of the molecule itself For the intermediate density tiling we reduced the size of the border and for the high-density tiling we even removed the border completely of Course you can vary the size of the border just on the outside edge, too There’s lots of room to play here and while I only show crease patterns for for tiles here You can easily extend this concept to for example four six or nine tiles or even more Collapsing the model definitely gets trickier, and you need larger paper, but the concept stays the same But I promise to try and keep the short, so let’s keep it at that One final note perhaps all three crease patterns look very similar and so it’s probably not a big surprise that folding them is very similar to The main difference lies in which grid you fold? Before adding the diagonal crease lines that determine the placement of the tiles For the low-density tiling with four hydrangeas you will require a 16 Division square grid not all Creases on the grid are strictly necessary But it’s much easier to fold the model if you start with a full grid so at least for your first fold I highly recommend doing that for the mid density tiling with 4 hydrangeas we need one division less so 15 divisions and For the high density tiling you need just 14 divisions Collapsing the high density tiling is just a little trickier because in one step some sections of two adjoining tiles Will overlap that’s why I recommend that you try the low or intermediate density first Just so that you understand the concept once you have that the overlapping sections should be quite easy to handle – and if you’re wondering which step that is exactly I reference it while folding the low-density tiling just in case I hope that gives you at least some insight into the tiling technique and how to vary it so let’s get folding as mentioned I’ll show you how to fold the low-density tiling so we’ll need a 16 Division square grid and Depending on which density and how many tiles you want to fold you’ll have to adjust the number of divisions I’ll speed through folding the grid here, but if you’re unsure how to fold one I’ve got a separate video that explains how you can fold one nicely and precisely And precision is key in getting a beautiful tessellation now once that grid is done We need to add the diagonal precreasing We’ll add these in the right direction So as a mountain folds on the color side to make it easier to collapse the hydrangea ties I highly recommend you do that too now starting from a corner count in two square diagonals That’s where the first crease needs to go so you’ll see you have four grid sections visible here And then crease just the two central diagonals now count up to further square diagonals That’s where you need to place the paper Next to add the second precreasing and this time crease the diagonals of four grid squares Next check where that first shorter crease ends right in that point? Let’s add a longer diagonal this one needs to be four great diagonals long again Always use the grid intersections to determine where to crease to get nice Precise results the more precisely fold the grid and the diagonals The more stunning your final model will be so it’s worth taking your time here again This crease needs to be four diagonals long Let’s add that crease to the other end of the shorter diagonal two by the way these pre creases are the same irrespective of which density and how many ties you want to add that’s determined by the grid divisions and Once you’ve added the second crease of four great diagonals, let’s connect both to form a rectangle double-check the location before you add the crease by counting the diagonals of the grid squares and Add a short crease through two diagonals Now we want to repeat the process to create another triangle Let’s first add the shorter creases and then connect them to complete the second triangles Here you can see one of the rectangles We just pre-creased and the other one now add those creases to the other three corners for the 2×2 tiling Of course if you want to add even more tiles, then you have to add even more rectangles And if you’re unsure where to place the first creases double-check the location on the crease pattern It’s not the end of the world if you accidentally add creases in the wrong place But the model won’t look as clean on the end and collapsing the tiles might be a bit more difficult so taking your time and focusing to avoid mistakes is definitely worth it and Once the precreasing is done the fun part begins We will start by collapsing just one time into a hydrangea base it definitely Helps if you fold it one before and I’ve got a detailed tutorial for that So if you haven’t folded the basic hydrangea yet do that now, but I still include some pointers here Just not as many details first locate a corner of one of the rectangles. We just added Start the mountain fold in that corner using a crease on the grid and one on the other point of two Those two creases will have to grid rows between each other now bring them together to form a valley fold between them like this and then do the same for the other corners of the rectangles the next two are very short Mountain folds and The last set has long Mountain fold again now bring them all into shape at the same time take a look at this point it goes inwards and this one doesn’t I’m going to push on that point so that it points inwards to the same here and That one’s okay already So this is the shape we want before we collapse at I’ll Notice that there are Valley folds here and mountain folds there Now pinch the mountain folds that end in the corners of the rectangles both on the left and the right Pinch all the way in and then rotate the model and repeat that again This is what it looks like from the back now completely flat from that sectional by pushing the paper down all the way Now we can open up those Valley folds again. Here’s one and do the same for the other three Now one hydrangea base is done You should be able to see a nice and precise square popping up on the back now We want to collapse the next hydrangea base. Let’s first open up the paper a bit again We don’t want to flatten it completely so that the structure of the first tile stays relatively intact again add the Mountain folds up to the corners of the rectangles by the way this last one is joined to the tile we already collapsed now push in the points again Reinforce the mountain folds if needed and press the creases into place until you get that 3d shape again Always make sure that there are valley folds around this section of four grid squares These adjoining triangles will fold onto that section and sure all creases have the right direction and then collapse the next hydrangea base again opening up the valley folds to flatten the model and This is what the back looks like now let’s move on to the next tile as before form those mountain folds to start making that 3d shape and fold the collapse tiles as much as required and push the paper into place Then you can flatten the third tile and this is the model from the back now finally let’s work on the fourth time some of the mountain folds are already in place so this one should go fairly easily and Then flatten all of the hydrangea faces now your basic tiling is done, and there is the back here’s a closer look at one of the corners of those popped up squares I Find it easiest to now start preparing the border of the tessellation, so let’s form these corners first for this we need to inside reverse-fold the corners I Prefer not to pre-crease this so that I can ensure that tips come to a nice point then flatten the reverse-fold to complete the crease and repeat on the other side and Then all the way around Now these sections are diamond shaped Next let’s pre-crease these diamonds so for this both the diamond in half and then fold up the point to the next grid line essentially folding half the diamond in half again Unfold and repeat on the other half of the diamonds like this these long sections also have to be pre-creased Again fold in half and then fold the edge to the next grid line and add a strong crease Then repeat on the other half like this and repeat on all of the other sections Once that’s done flip over the model We need to sink the corners of this square so that we can add the second layer of the hydrangea The even smaller petals are formed by repeating the steps. We’ll do now just on an even smaller square later on So to sync these corners first fold in the corners to the center Make sure to work precisely here because the more precisely you fold these the more layers You can add and the more symmetrical the petals will be in the end then go between these layers on both sides And fold the triangle in half while letting that section pop up Then pull carefully to get a straight edge Repeat on the other side then flatten to reveal a perfect square Now lift the sides to fold the square back down with two small inside reverse folds in place Now you’re open-sink is done. You need to repeat this on all the corners of the raised squares to demonstrate the look of the different number of layers I just sink the corners of three of the squares so in the end you can also see what I had granite I looks like if you don’t add any additional layers this will be the case for this square Let’s continue working on the additional layers of the other three squares First open these petals, and then push this layer up so that the paper lies flat again then push this paper out to collapse it like this you add some new creases here and repeat and In case you’re wondering it works exactly the same on these longer sections repeat for the other tiles too now I mentioned before that for the high-density tiling there will be some overlapping and this is the step the inner Sections will overlap a little when you perform this step, but just on the first additional layer don’t worry about the overlapping though as soon as we complete the next step it will disappear and that Overlapping won’t occur if you add even more layers, so you only have to worry about it once But now let’s get back to completing the petals of this layer we need to pull out some paper to reveal that next layer of petals I like to grab this layer right here and Pull it out carefully Until you can see a pyramid then pinch the sides together and ensure you reach the grid intersections just to get nice precision and flatten completely like this repeat on the other side first pull out to get a pyramid and then flatten it down and of course repeat all the way around I actually love this step, and I hope you enjoy it too and This is what the tile looks like when the next layer is exposed then repeat on the other tiles Now we want to add those precreasing x’ on this layer, too so fold the diamond in half, and then fold the we’re out and Repeat a bunch of times Then the second layer of petals is done now if you want to add even more layers Flip the model over and start sinking the corners of the smaller squares I do this on two of the tiles only The procedure is the same as before, but everything’s just a little bit smaller Then flip over the model again and open these sections to fold out the paper as you can see the steps are the same here too just smaller Of course the paper you can grab on to get smaller too, but at this size I can still manage fine without using a tool and repeat on all of the other sections and Once all the petals are pulled out and flattened, let’s add the precreasing for the final shaping again smaller too of course So now we have a tile with one two and three layers. Let’s add a fourth layer on the last time You know the drill by now first sink the corners of this even smaller square then prepare the model for pulling out the next layer of petals and Pull them out Layer to grab onto is really small now so I’m going to get some tweezers like this I can grab hold of the small layer and Carefully pull it out Then collapse the pyramid shape again to reveal half a petal and repeat on all of the other sections Finally form the petals as this is the last layer You can keep the petals folded make strong creases as they tend to unfold We lock them in a moment though, and then they stay nicely in place The smallest layer has its final shape now Beautiful right now next we’ll shape the layer underneath. I use my tweezers for this so that my fingers Don’t hide the paper too much Basically fold behind the corner of the second smallest diamond along the precreasing like this Repeat all the way around You can also shape the next layer already, but let’s keep the last layer as it is for now We’ll come back to it after we shape the petals of the other tiles You can of course shape the petals without tweezers, too But as you can see my fingers cover most of the paper because it’s all quite small The next layer is a bit larger, so maybe it’s a bit more visible but I hope you saw where the paper needs to go while I was using the tweezers and Now we can start shaping the largest petals I try to show you in detail where the paper lies after right here. and repeat Now let’s look at these long sections which connect to tiles as Before push behind the paper and do the same on the other side then flatten the paper completely Strengthening the crease now Repeat on all the other petals Finally we need to finish the border of the tessellation Ensure that the largest petals have their points folded behind and then flip over the model Now take this corner and fold it in half, so this is what you get and repeat on the other corner now you have formed a large petal and of course repeat all the way around if Any of the petals unfolded refold them now. We’ll secure those in the next and final step We’ll now shape this long edge as before fold in the corners so it looks like this and repeat all the way around then lift the model over double check if any corners unfolded and There you have it one layer two, three and four your low-density tiling of the hydrangea Designed by Shuzo Fujimoto is all done and once you folded this tiling Start experimenting with all of the variations that I hinted at in the first part of the video and if you liked this video you let me know by giving it a thumbs up commenting below and Sharing it with others plus if you love the hydrangea as much as me you’ll want to check out my playlist of other videos on the small or explore other origami tessellations in my playlist for that Finally subscribe to my channel and turn on notifications So you don’t miss my next videos. I hope to see you around and as always happy folding!