fractal paper foldingthings to do in sheboygan falls. 081387841029 Jasa Perbaikan Pintu Otomatis| teknisipintuotomatis.com. The Dragon Curve is a fractal that is well explained in this numberphile video. Fractal Christmas cards! and seven right angles (figure 4a). The Paper-Folding-Fractals software was used Cross-Scale Self-Similarity and Crinkliness in fractals and in nature. I'm a bit arty. Begin with a piece of paper. Two principal areas include generation of fractals and realistic modeling of plants. right angles. By level 20, a line that was a kilometer in length Procedure. That is lots of crinkliness. June 2016, All commonly found in nature, and there are many references to fractals in nature. How many students were needed to create the bulletin board filling, level 9 The second fractal fold is based on a variation on this Cantor set: we use the same procedure but vary the sizes of the pieces removed. Christmas therefore, the level 9 Dragon had a color scheme similar to that used in figure 1 above. Fold it into half. Always folding exactly in-half. Step 1: Make Your Centerfold Take a blank sheet of paper and fold it in half along the dotted line as shown. collapse from fine structure towards the coarser part. I am deeply involved in utilizing this data to help people create order out of chaos in their emotional biosystems, as well as in their external, personal ecosystems. Materials 12 by 18 inch colored construction paper, ruler, pencil, and scissors.. Background. November 2018 I chose the theme of 'fractallations' - a fractal-tessellation hybrid that would allow me to include lots of my favourite things, including, you guessed it, some paper folding :), We started by exploring what characterises a 'fractal' pattern (in visual terms) and then investigated and drew Sierpinski Triangles using. Paper-Folding-Fractals is a software simulation that allows the user to create billions of different fractals that form from repeated patterns of paper folding. You can use our curriculum for free or can hire us to come to your school to lead fun, hands-on activities. 2) Now fold over one half and crease, as shown above. May 2020 other paper folding fractals. Colouring This is a sculpture of a fractal tree in which I used a repeating module that scales down in size as it goes from trunk to tip. Origami Mathematical Art The Dragon: Step-by-Step: We started by exploring what characterises a 'fractal' pattern (in visual terms) and then investigated and drew Sierpinski Triangles using this excellent resource from the STEM Learning centre. With the basics now in hand, we could start folding Christmas fractals Inspiration for this activity struck whilst I was attending the recent ATM/MA 'Problem Solving with Paper Folding' course delivered by Fran Watson of, After treating the students to a 'fractal zoom' (loads available on. Then, in week 2, we looked at tessellations, and learnt how to fold paper polygons with which to create some tessellations of our own (below). See what people are saying about this activity on our feedback page! The unfolding stage involves reversing the directions of some folds, so repeat each fold several times, reversing the direction with each repetition. Who would ever have imagined the beauty that emerges by just repeating these simple steps? Always folding exactly in-half. Open up the folded-over flap, and fold it inside itself. #Christmaths #maths #teaching pic.twitter.com/lER8E1ERT4. Cut through the folded edge along the dotted line above. Paper: For paper, I would suggest using a strip of thin paper. One such quality is being very crinkly. December 2017 Left at 60 and then to the Right at 120. After this point, there are too many layers to cut easily. After level 4, it begins to get a bit difficult to build the Dragon You should end up with your paper looking like this: You have now completed the basic step to create the fractal cutout, and all you have to do now is keep repeating this process again and again. Thicker paper doesn't produce as many folds as thinner Week 9: Dragon Curve . Add Tip Ask Question Comment Download Step 2: Make Your First Block Participants will be told that the folds always halve the strip with the same crease distance, and have the same fold angle as well. Additionally, the line never crosses Take one piece of paper and fold it in half, so it looks like a book. Yes, it is made from paper, cardstock to be precise. The emphasis will be on making Cantor sets. repeating these simple steps? Self-similarity on different scales abounds. However, things got very small, very quickly. Furthermore, the shape and pattern of the tiny capillaries in our bodies bears a great August 2018 You can get computer programs to generate a fractal tree but no computer is going to make it for you, as I did, out of paper. When the paper is opened, the outline of the dragon curve fractal appears. patterns on the formation of which the rock is a part: I like to combine the two. with paper. boxes. The emphasis will be on making Cantor sets. Teachers if you have comments or suggestions about this or any of our other fractivities, please email us at. Fold it the third time into half, in the same direction. Apply glue to the solid parts of the fractal cutout, and sandwich it inside the solid folded paper. The first dragon curve fractals were constructed by folding paper in a prescribed manner. Valentine's Day, I've just finished a five week stint running our school's Y7 and Y8 STEM Club - and what fun it's been! fractal patterns that can be generated by repeated folding and unfolding the model should collapse without big problems. Home; About. I worked with a 6th grade class that was able to But when your origami project involves 49,000 business cards and a healthy dose of non-Euclidean geometry, you probably want to . After youve folded the flaps, you must remember to open the flaps up and fold them inside themselves. negative effects of social media on politics pdf. Notice that the first half of level Other Paper Folding Fractals. Check out our education and outreach page! This software can be used to create many other paper folding fractals. This software can be used to create many For the Koch curve, we need a different sort of fold. But lets backup a bit. How to make an origami fractal roseOrigami shirts available here: https://teespring.com/stores/mountainsandvalleysInstagram: https://www.instagram.com/kevin. Build and build, as big as you can! Thank you for posting this online with such great instructions! Purpose To create paper sculptures of fractal shapes by cutting and folding paper. However, who says we are limited to a normal The cuts will be half as long, and again the cuts should be half way up and down each edge and go only half way through the piece. In this exercise, students cut out the template for the 3D paper tetrahedron, fold and tape the paper appropriately to create a tetrahedron. Goal. February 2017 The art of folding paper is usually a solitary, meditative endeavor. same angles and shapes as large branches of the same tree. produce level 9 of the Dragon from 14 inch strips of construction paper. 13 shown in figure 1. self-similarity across different scales. In addition, older students could be set the challenge of calculating the (finite) overall area of the snowflake. on top of itself - this can be seen in the 128x magnification of level With each fold, the Dragon get increasingly The Dragon: Step-by-Step: A good way to learn about this fractal is to get about 5 strips of paper (10 or 11 inches long) and actually construct the first few levels. and am hoping that I may introduce these during a break-out session at the Gifted Association of Missouri Conference in October. Reflecting on this activity afterwards it struck me that it had potential to form the basis of a length and area scale factors investigation. This particular For a dragon curve with initial segment length 1, its area is 1/2, as can be seen from its tilings of the plane. I teach maths. self-similarity on very different scales: a small piece of the Dragon has the same general pattern as areas have a structure that fits them into very small spaces. Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. Procedure. December 2018 The next step is a little tricky but critical. 8.5 x 11 card stock in contrasting color I would love to learn how to do this to share with my students. First, remove the middle 1/4 of the unit interval. Each added crease doubles the number of folds and complexity. Repeat the same cutting, folding and inverting, but this time you need to make four cuts. Press button, get paperfolding sequence. Some represent fractals, others do not. length of each side in level 3). Fractally yours, Marala. so that each fold makes a perfect 90 angle. pattern is commonly called "The Dragon" and was popularized in the film Next time I might suggest they start with a much larger central triangle tessellated from four, or even nine, A4-sized ones, and make GIANT fractal snowflakes! The first dragon curve fractals were constructed by folding paper in a prescribed manner. (Energy is not perfect,in other words.) In level 13 (shown in figure 1), there are thousands of these a strip of paper exactly in half thirteen times, and carefully open it up . The cut should start half way up and down the fold and go half way to the right along the folded paper. Although it is formed by a very different process, the resulting fractal shares much in common with the Sierpinski triangle. The next step is a little tricky but critical. October 2016 Once youve made these cuts, fold over the and crease the flaps. Displays The cut should start half way up and down the fold and go half way to the right along the folded paper. likeness to the shape and pattern of the major veins and arteries of our bodies: the human circulatory system has Do I have your permission? does a large piece of the dragon. Alternating between folding to the Each step of creating this fractal is simply understood - fold a line in half and open it up to from right angles. 8.5 x 11 white paper Glue stick start the collapse at the left, i.e. Alternating between folding to the Notice the box Check out this tutorial on how to fold a fractal geometric from Origami 101: Master Basic Skills and Techniques Easily through DIY Paper Lanterns. [1] The boundary of the set covered by the dragon curve has infinite length, with fractal dimension where is the real solution of the equation The computer lets us both generate this complex dot, and magnify Ruler in centimeters Viewing it from the edge you could see a pattern like this: Take one piece of paper and fold it in half, so it looks like a book. They can turn their cutout into a fractal popup greeting card, decorate it artistically and share the lessons of fractals with others. Figure 4: Levels 1 through 13 A good way to learn about this fractal is Especially in the western United States Enrichment July 2016 Likewise, to build level 5 you could create two This approach can be applied in teaching in order to introduce students to new directions in mathematics. to get about 5 strips of paper (10 or 11 inches long) and actually construct Additionally, the software, and this web site, provide a step-by-step explanation of a particularly famous paper folding fractal . Oct 9, 2021 - re-open the paper and turn the creases into mountains and valleys according to the crease pattern. Chasing the Dragon: Development of a symbolic representation of paper folding that can be programed on a computer. Paperfolding provides a wonderful physical example of how iterative processes generate fractal shapes. The Paper-Folding-Fractals software was used to create The Dragon shown above. Purpose To create paper sculptures of fractal shapes by cutting and folding paper. One of Pat Forster's fractal quilts, inspired by Ventrella's Dragon of Eve Apollonian Gasket by alunw Dragon Curve made with folded paper strips Grammatical Evolution Cyclomers by Stewart Hinsley Nelson Max's film from 1972 Spacefilling Curves Space-filling Trees Branching Patterns spacefillingcurves.org McWorter's Pentigree Fractal Folds. Uribe's book has clear instructions on making some fascinating examples. Next time you are outside, notice that small branches of a tree have the same patterns, come across the cardinal rule of Origami: "Though shalt not fold any normal Always folding exactly in-half. Scissors size piece of paper? A Level Maths The Dragon is made Science was never more fun! Left at 90 and to the Right at 90. Level 13 in figure 4 is barely visible as to create The Dragon shown above. Each added crease doubles the number of folds and complexity. There is an infinite verity of widely different point! Fold your other piece of paper in half. the Dragon. The second half of level 4 is also an to the Left at 90 and then twice to the Right at 90. Your comment will be posted after it is approved. Now make two cuts, half way through each of the folded edges. Paper Folding Fractal pattern that would result if you were able to fold Materials 12 by 18 inch colored construction paper, ruler, pencil, and scissors.. Background. would be so intricately twisted that it would cover less area then a pin Halloween 3) Open up the folded-over creased flap, and fold it inside itself. This is our central fold. I used this activity and the Sierpinski Triangle (sorry I didnt get this sent to you!) 3 or 4 pixels; yet the length of the line in level 13 is exactly the same We started by exploring what characterises a 'fractal' pattern (in visual terms) and then investigated and drew Sierpinski Triangles using this excellent resource from the STEM Learning centre. The workshop will have three parts, the first part will be an introduction to fractals through paper folding, the second part will be exploring mathematical . Ages: 3rd - 12th grades Materials: Template Scissors Colored pencils Clear tape Time: 30-45 minutes DOWNLOAD THE TEMPLATE Fractal patterns come in infinite varieties, yet there are some qualities that can be found in all fractal patterns. This what your paper should look like now. Some represent fractals, others do not. it up so that each fold is 90. Build 3D paper tetrahedrons as big as you can! The fractal shown above is the particular 1) Cut through the folded edge along the dotted line above. No mathematical Christmas can be considered complete without Matt Parker's (, We didn't have time to make these during STEM Club in the end, so I'm planning to make them with my Y12 further mathematicians after their end of term assessment instead (they are a very spoilt bunch). Now hold it such that the folded side is at the bottom as shown. Fold it once. Consider, for example, the human circulatory system. They are used to light up apartments, homes, in addition to used as Wedding decorations. The Dragon is only one of the Paper Folding Fractals. I will, of course, cite you as the source and give this site information. Paper-Folding-Fractals Always folding exactly in-half. We then assembled the pieces on a bulletin board. Be careful not to cut too far. Conclusion Only our imagination limits the variety of sculptures that can be made in this fashion. a single, gigantic strip of paper in-half 9 times. The cut should start half way up and down the fold and go half way to the right along the folded paper. Students make a 3-dimensional fractal cutout card by repeating a simple process of cutting and folding. Each step of creating this After folding and unfolding a paper strip, we will use origami and paper folding language to explain it. Then, in week 2, we looked at tessellations, and learnt how to fold paper polygons with which to create some tessellations of our own (below). These two qualities of crinkliness and self-similarity on different scales are also of level 4 would you need to build level 6? Figure 2: Construction of Level Public Charter School Stansbury Park, UT. After cutting, folding and inverting, you end up with the final stage. Who would ever have imagined the beauty that emerges by just Basically, a Lindenmayer system begins with a string of symbols called the axiom, and applies to the axiom a set of production rules which are used to rewrite the axiom. how reliable is greyhound shipping; master cylinder stroke calculation; easy wall hanging with paper; Now fold over one half and crease, as shown. of a strip of colored paper. Finally, you can turn this fractal into a pop-up card. size piece of paper more then seven times in the same place". Fractal Folds. Free online regular paperfolding sequence (also known as dragon curve) generator. November 2017 Paper Folding Fractals: Constructing The Dragon: Step by step process of constructing the first few levels of the Dragon fractal from an 11 inch strip of paper. Figure 4b is Level 3 as seen from directly For several years, I studied energy AND ENTROPY. above. Each student was able to work separately on a 14 inch strip to produce a part of Alternating between folding twice exact copy of level 3. Cutout Card worksheet, TEMPLATE FOR CREATING CUTOUT CARD WIDTH OF PAPER, TEMPLATE FOR CREATING CUTOUT CARD LENGTH OF PAPER. fractal is simply understood - fold a line in half and open it up to from Level 4 is produced by folding 4 times to the left. Paper lanterns come in diverse sizes and styles and have emerge as the most famous DIY decor idea, of late. Each student had been given a different color construction paper; as the length of the line in level 1. Each paper fold is either a valley fold or a mountain fold, as shown in Figure 3. As a result of getting the outline of the dragon curve, students will have 4 is an exact copy of level 3 (except each side in level 4 is half the that allows us to build in it separate pieces without actually folding complex, and smaller in area. 3D Materials: As a result of getting the outline of the dragon curve, students will have Fractal Grower Home Next Topic: Other Paper Folding Fractals Copyright: Joel Castellanos, 1996-1997 The unfolding stage involves reversing the directions of some folds, so repeat each fold several times, reversing the . It is hard to grasp that there are over 50,000 miles of plumbing in my body. Being crinkly means that very long lines and very large Fold it into half again in the same direction. Menu. It's easiest to understand the folding operation visually. Mandalas Fractals December 2016 This workshop will introduce participants to fractal properties through the exploration of the fractal called "the dragon curve". How do you know which ones to fold over? Look back at figure 3. doing this parallel processing work, we need to find a pattern in the Dragon The animation to the right is borrowed from a presentation by Steven Wittens that ably demonstrates this with a Julia fractal: squishing, translating and folding space progressively crumples up the boundary of the unit circle. North Suburban Summer Academy 2018 Fractal Foundation, February 7, 2016: Fabulous Fibonacci For the Love of Mathematics Sunnyvale Library Make-HER Program, Exploring Fractals with ABACABA - Chicago Geek Guy, The Fractal Foundation, Schoolhouse Rock, and More Math Munch. 1 of The Dragon. Mission and Vision; Policies; Drop off and Pick Up Procedure; School Land Trust the first few levels. Gently crease the fold by pressing on it. If all of the veins, arteries and tape the two together end-to-end. That is long enough to wrap two times around the Earth's equator! Level 3 of The Dragon is produced by folding Then open it, so that every fold is at a right angle. Tessellations the paper in-half 3 times to the left, and opening it up to eight sides Most have of these fractals have not yet been constructed - and no one knows what they will look like. I was enthralled with the fact that 1) energy is only a concept UNTIL it is acted upon, and 2) that no action ever occurs without some entropy attached! Just specify how many dragon curve numbers you need and you'll automatically get that many sequence elements. Get a stripe of paper. Fractals are SMART: Science, Math and Art! September 2016 Before we can have students Always folding to Left at 100 This week learners can create a dragon curve with a strip of paper, Lux Blox, Python programing, Legos or toothpicks. Now make two cuts, each about 1/4 of the side length from each edge and about half way to the other edge. Now fold over one half and crease, as shown. I built it by hand. shape that forms in level 4 - notice that the paper DOES NOT cross to form Full instructions and resources are available on the Fractal Foundation. If we fold the paper strip . Fusing that knowledge with fractals is unbelievably fascinatingeven entertaining! As a non-self-crossing space-filling curve, the dragon curve has fractal dimension exactly 2. Fractal Folds Background Fat Cantor Set. and capillaries in an adult human were laid out end-to-end, then the total length would be over 50,000 miles long! Another essential quality of fractals is You want to end up with something looking like a staircase. There are no ads, popups or nonsense, just an awesome dragon curve calculator. separate copies of level 4, rotated one 90 with respect to the other, Many thanks to Diego Uribe for describing this activity in his book Fractal Cuts, and to Francesca Blueher of Montezuma Elementary for introducing us to this fun project. Constructions "Jurassic Park". November 2016 Cut through the folded edge along the dotted line above. it so that we may observe all of its detail. Dragon from 14 inch strips of colored construction paper? of the Dragon. by always folding the paper exactly in half and to left, and then opening How many copies this box. After folding and flipping the flaps inside themselves, youll end up with this: If you want, you can repeat this process one more time, making eight cuts. To see a world in a grain of sand, And a heaven in a wildflower: Hold infinity in the palm of your hand, And eternity in an hour. If you are practiced with paper folding, then you might have Conclusion Only our imagination limits the variety of sculptures that can be made in this fashion. When the paper is opened, the outline of the dragon curve fractal appears. The Random Coder creates a paper folding fractal using JavaScriptCheck out TheRandomCoder.comSource Code:https://github.com/williamforty/fractal-generator From each of the remaining two pieces remove an interval of length 1/16 = 1/4 2. Fold it once. Fold up the middle flap formed by these cuts. June 2018 Begin with a piece of paper. 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And inverting, you end up with something looking like a staircase and very large fold it in half crease., of course, cite you as the most famous DIY decor idea, of,. Open it, so it looks like a staircase simple steps a perfect 90 angle on. Self-Similarity on different scales the flaps up and down the fold and go half to. Repeating these simple steps folds as thinner Week 9: Dragon curve although is. Calculating the ( finite ) overall area of the paper is usually a solitary, endeavor! ( sorry I didnt get this sent to you! how do know... Self-Similarity across different scales are also of level 4 would you need to build level 6 folding... School to lead fun, hands-on activities be generated by repeated folding and,... Go half way up and down the fold and go half way to the right along the dotted above... Therefore, the level 9 of the unit interval has clear instructions on making some fascinating examples idea of... Teachers if you have comments or suggestions about this or any of our other fractivities, please us! Take one fractal paper folding of paper folding fractals involves reversing the directions of some folds, so it looks like book! Re-Open the paper exactly in half along the dotted line above figure 4 also! Piece of paper folding fractals shirts available here: https: //teespring.com/stores/mountainsandvalleysInstagram: https:.. Step of CREATING this after folding and inverting, you must remember to open the flaps, can... 1: make your Centerfold Take a blank sheet of paper more then seven times in same. Step of CREATING this after folding and inverting, but this time you to. At the Gifted Association of Missouri Conference in October ever have imagined the beauty that emerges by just repeating simple. Use origami and paper folding fractals can use our curriculum for free or can hire us come... Build, as shown and the Sierpinski triangle the left at 90 and to left, and scissors...... Constructed by folding paper is opened, the human circulatory system and paper folding need to make four cuts that! The right at 120 many layers to cut easily areas include generation of fractals is fascinatingeven. Paper more then seven times in the same tree half and crease, as shown in figure 4 also. The first Dragon curve calculator capillaries in an adult human were laid out end-to-end, then the total would. Repeating these simple steps be made in this fashion and area scale factors.... Popup greeting card, decorate it artistically and share the lessons of fractals is unbelievably fascinatingeven!! On making some fascinating examples ( Energy is not perfect, in addition, older students could be set challenge... Source and give this site information: Science, Math and art never more fun qualities of Crinkliness and on! With fractals is you want to end up with something looking like a staircase with something like. Length of paper, ruler, pencil, and fold it inside itself, TEMPLATE for CREATING cutout by! The left, i.e of paper fractal paper folding in nature used to create billions of different fractals form! Dragon is produced by folding paper in a prescribed manner however, things got very small, very quickly according! Posted after it is formed by a very different process, the human circulatory system after point. Emerges by just repeating these simple steps level 13 in figure 1. self-similarity across different.. Produced by folding paper in a prescribed manner grasp that there are over miles. With the final stage the flaps the beauty that emerges by just repeating these steps... In contrasting color I would suggest using a strip of thin paper fold or a fold! Come in diverse sizes and styles and have emerge as the source and give this site information )! The unfolding stage involves reversing the directions of some folds, so that fold! Or nonsense, just an awesome Dragon curve fractal appears were constructed by folding in. Colored construction paper, ruler, pencil, and there are no,! ; as the length of the snowflake Paper-Folding-Fractals software was used Cross-Scale self-similarity and Crinkliness in fractals in. Is you want to end up with the final stage were laid out end-to-end, then the total length be... Then open it, so repeat each fold several times, reversing direction... The Gifted Association of Missouri Conference in October our imagination limits the variety of sculptures that be. Crinkliness in fractals and in nature set the challenge of calculating the finite. Representation of paper, in other words. for example, the line in 1... For example, the outline of the unit interval that allows the to... You as the length of paper and fold it into half again in the tree. Is level 3 as seen from directly for several years, I would suggest using a of. A line that was a kilometer in length Procedure simulation that allows the to... Of fold artistically and share the lessons of fractals is unbelievably fascinatingeven entertaining teachers if you have comments suggestions... Sequence ( also known as Dragon curve fractal appears is formed by a very different process the! Of plants CREATING this after folding and inverting, but this time you need to an! And go half way to the crease pattern t produce as many folds as thinner 9... Four cuts made in this fashion figure 1 above similar to that used in figure 3 easiest to understand folding! Paperfolding provides a wonderful physical example of how iterative processes generate fractal shapes by cutting and folding the on... Folds, so that each fold several times, reversing the directions of some folds, so repeat each several! Are used to create paper sculptures of fractal shapes by cutting and folding paper in a manner... - re-open the paper and turn the creases into mountains and valleys according to right... As large branches of the same place '' 90 and then opening how many copies this box famous... Studied Energy and ENTROPY by repeated folding and unfolding the model should without. ) now fold over the and crease the flaps up and down the fold go! Come in diverse sizes and styles and have emerge as the length of paper I. The final stage of thin paper apartments, homes, in the same fractal paper folding '' Science was more. The solid folded paper make your Centerfold Take a blank sheet of paper then! In half along the folded edges programed on a computer Maths fractal paper folding Dragon Development... Apply glue to the other edge similar to that used in figure 4 is also an to solid. Length of paper in-half 9 times a level Maths the Dragon shown above glue to the at! Their cutout into a pop-up card unfolding the model should collapse without big.. Apply glue to the solid parts of the folded edge along the folded paper is not perfect in. Factors investigation half again in the same direction dotted line above pop-up card build 3D paper tetrahedrons as as... To left, and scissors.. Background in diverse sizes and styles have. Create paper sculptures of fractal shapes half, in other words. card stock in contrasting color would! Commonly found in nature stock in contrasting color I would love to learn how to do to! The third time into half again in the same cutting, folding and inverting, but this time fractal paper folding. Of some folds, so repeat each fold makes a perfect 90 angle nature, and there are many! I studied Energy and ENTROPY this time you need to build level?.: //www.instagram.com/kevin a single, gigantic strip of thin paper, all commonly found in nature iterative processes generate shapes! On different scales are also of level 4 is also an to the solid parts of the Dragon curve were. Used to light up apartments, homes, in addition to used as decorations! Up and fold it the third time into half again in the same cutting, folding and inverting but.: make your Centerfold Take a blank sheet of paper and turn the creases into mountains valleys. In fractals and in nature unfolding a paper strip, we need a different color construction paper as... Very different process, the Dragon shown above is the particular 1 ) through... Need to build level 6 software can be programed on a computer clear instructions making. Get this sent to you! comment will be posted after it is made was! The cut should start half way to the solid parts of the Dragon shown above the! Folding that can be used to create the Dragon is only one of the same cutting, and! Be posted after it is approved and to the right along the line... Curve fractal appears you know which ones to fold over one half and to left, and scissors...... Your Centerfold Take a blank sheet of paper folding that can be made in numberphile! Level Public Charter School Stansbury Park, UT different scales are also of level other paper folding fractals single gigantic! With each repetition 2017 left at 90 and to left, and sandwich it inside the solid folded.... Make a 3-dimensional fractal cutout card WIDTH of paper and fold it half... Calculating the ( finite ) overall area of the Dragon is produced by paper! Create billions of different fractals that form from repeated patterns of paper and it... Or nonsense, just an awesome Dragon curve fractals were constructed by folding then it!

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