The recursive structure. Age 16 to 18. Repeat this process for the unshaded triangles in stage 1 to get stage 2. Wacław Franciszek Sierpiński (1882 – 1969) was a Polish mathematician. : You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. 5. 69 Sale. When autocomplete results are available use up and down arrows to review and enter to select. svg is a vector version of this file. That's not how you draw the sierpinski triangle. the flower/Apple key) · Shift · 4. 2) Ask them to conjecture what would happen if both the grids were extended so the Pascal Triangle had more rows below the given grid and the Sierpinski Triangle was extended so it covered the new Pascal grid. Eye of Magic. Python. Steps for Construction : 1 . Example. Produce an ASCII representation of a Sierpinski triangle of order N. Sierpiński Triangle - a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. The answer to 2) is more complicated, because in any language writing graphics is more complicated, because the hardware changes. Welcome to the r/Tattoos subreddit communityDiscover (and save!) your own Pins on Pinterest. Overview. so the code should have been. Makie version: using CairoMakie function sierpinski() # create observable holding scatter points tr = Observable(Point2f[(0, 0), (1, 0), 0. Generalised Sierpinski triangles are interesting for a similar reason because they o er an extension to the classical Sierpinski triangle with fewer symmetries. 7 (3) 2. Just see the Sierpinski Triangle below to find out how infinite it may look. Art----2. 5. The Sierpinski carpet is the set of. For each subtriangle, add that triangle with n-value n - 1 to the worklist. The Triforce has a little more meaning. Logic. Produce an ASCII representation of a Sierpinski triangle of order N. it is a mathematically generated pattern that is reproducible at any magnification or reduction. Shrink the triangle to 1. Do the same for the three largest equilateral triangles left in this one. /. 47. Example. Next, we’ll see how to make an animation. Start with a single large triangle. The Sierpinski triangle of order 4 should look like this: Related tasks. Enhance your understanding of Data Structures and Algorithms with this completed assignment from my time at NYP, first year second semester. Sale price $54. This project gives a simple implementation of Sierpinski triangle in 2D and 3D respectively, using OpenGL (freeglut). | Inkbox™ | Semi-Permanent Tattoos. All the fractals we saw in the previous chapters were created using a process of iteration: you start with a specific pattern, and then you repeat it over and over again. The Sierpinski triangle can be described as the result of an "iterated function system. The Sierpinski triangle illustrates a three-way recursive algorithm. Closely related to the gasket is the Sierpinski carpet. Discover (and save!) your own Pins on PinterestExample Sierpinski Triangle. Fractals are self-similar regardless of. e. It is a self similar structure that occurs at different levels of iterations, or magnifications. . Sierpinski Triangle, Face Mask Cloth Face Mask. Randomly select any point on the plane. The triangle is subdivided indefinitely into smaller equilateral triangles resembling exactly the original triangle. After this I thought that it would be nice to mention what the actual Hausdorff s s -measure of the triangle is, but all I found was measure estimates for a certain class. Produce an ASCII representation of a Sierpinski triangle of order N. angles = [0, 120, 240] colors = ["red", "blue", "magenta"] def draw_equi_triang (t, size): for i in range (3): t. As with the gasket the area tends to zero and the total perimeter of the holes tend to infinity. Add a description, image, and links to the sierpinski-triangle topic page so that developers can more easily learn about it. As we keep repeating this process ad infinitum, the area of triangle is constantly reduced and approaches zero! This is known as the Sierpinski’s Triangle. This site uses cookies to offer you a better browsing experience. Size of this PNG preview of this SVG file: 680 × 111 pixels. 3 Answers. Updated 6 May 2008. Modified 14 years ago. The Sierpinski triangle fractal was first introduced in 1915 by Wacław Sierpiński. Other resolutions: 277 × 240 pixels | 554 × 480 pixels | 887 × 768 pixels | 1,182 × 1,024 pixels | 2,364 × 2,048 pixels. set to 1) then this is the graph we get, i. 585. The result looks like a fractal called the Sierpinski triangle or Sierpinski gasket. The idea here is to generate data then draw circles for each number. 6 comments. Sierpiński Sieve. Turtle () self. The splendid generative potential of the Sierpinski triangle. 5850 1. 1] is geometrically defined as follows. My screenshot is below the code. Posted by 8 years ago. The triangle is likely the oldest and most studied shape in terms of symbolism and sacred meaning. If this process is continued indefinitely it produces a fractal called the Sierpinski triangle. 3 of the textbook. The procedure for drawing a Sierpinski triangle by hand is simple. This image below shows a fifth order Sierpinski’s Triangle. draw (screen) #adding the triangle to the array Triangle. The Sierpinski gasket is constructed iteratively and is the result of an infinite number of steps. Such a tattoo on the dorsal side of a man’s hand can really upgrade your looks. Your code to plot it might then look like >> out = sierpinski([0,0], [1,0], [0. Does that mean each piece of the Triforce is itself a full Triforce, making a Sierpiński triangle?There are many ways to generate geometric fractals. You have to begin with a black filled triangle and then fill triangles with white: public void paint (Graphics g) { // Create triangle int px [] = {20, 400, 210}; int py [] = {400, 400, 20}; g. Best Tattoo in North Providence, RI - Unicorn Ink, FINAO Ink Tattoo Company, Torchbearer Tattoo, Empire Studio RI, Ruthless Ink, Blackstone Tattoo Company, Providence Tattoo, Art Freek Tattoo, Royalty Ink, East Coast Tattooing & Body Piercing The Triforce is made up of the Triforce of Knowledge, the Triforce of Wisdom, and the Triforce of Power. The construction of a Sierpinski triangle might seem like an intricate job. The triangle should be in the bottom center of your window. Melting the butter would change the texture of the cookies. ) Begin at one of the corners. Each students makes his/her own fractal triangle composed of smaller and smaller triangles. Searching for ‘mocap suit sierpinski’ leads via a post on Reddit, Why. Set v n+1 = 1 / 2 (v n + p r n),. The Sierpinski Triangle is a fractal named after a Polish mathematician named Wacław Sierpinski, who is best known for his work in an area of math called set theory. 2 height and 1. As example I use the Sierpinski Triangle (Sierpinski Curve). Our goal is to produce 3D rotating Sierpinski Pyramids using JavaScript and WebGL. The fern is one of the basic examples of self-similar sets, i. Updated on Feb 2. Ignoring the middle triangle that you just created, apply the same procedure to. Sierpinski Triangle. 3 of the textbook. A Sierpinski triangle or Sierpinski triangle gasket is a fractal resulting from doing the following:. Inscribing an inverted triangle inside the base triangle creates. Browse more or create your own. Here’s a project we did a long time ago in collaboration with Vi Hart, that somehow never made it into Math Mondays. Each small section of the Sierpinski triangle looks like a miniature version of the whole thing. In the first episode of Math Proof Monday, The Newton Frontier discusses the Sierpinski triangle, a fractal named after Polish Mathematician Waclaw Sierpinsk. The Binary Sierpinski Triangle sequence is the sequence of numbers whose binary representations give the rows of the Binary Sierpinski Triangle, which is given by starting with a 1 in an infinite row of zeroes, then repeatedly replacing every pair of bits with the xor of those bits, like so: f (0)= 1 =1 f (1)= 1 1 =3 f (2)= 1 0 1 =5 f (3)= 1 1. import turtle def draw_triangle (some_turtle): #This for loop will create - Outer Triangle some_turtle. Our friend, the Sierpinski triangle is no longer a 2-dimensinal object. Reverted to version as of 18:15, 17 March 2008 (UTC) Reason: aspect ratio change. Jun 9, 2022 - This Pin was discovered by Adrianne Otis. Divide this large triangle into four new triangles by connecting the midpoint of each side. If you multiply the numbers in every second petal, you. Discover (and save!) your own Pins on Pinterest The Sierpiński triangle (sometimes spelled Sierpinski), also called the Sierpiński gasket or Sierpiński sieve, is a fractal attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. ; Sierpinski carpetHow to generate a Sierpinski triangle in code:Choose a random point in a triangle, then successively:Draw a dot at that pointChoose one of the vertices of th. Shrink the triangle to half height, and put a copy in each of the three corners. Sierpinski Triangles can be created using the following six steps: Define three points in a plane to form a triangle. This means that any changes to count will only be local to the method, and not change the count object which is passed into the method from the parent method. See how this compares. Discover (and save!) your own Pins on Pinterest Jun 9, 2022 - This Pin was discovered by Adrianne Otis. Sierpinski pentatope video by Chris Edward Dupilka. Updated Jun 16, 2019. Each removed triangle (a trema. The yellow area, if inverted, would become the triangle again. This guarantees that the chaos game generates the whole Sierpinski triangle. Ask Question Asked 14 years ago. 5. function Triangle () {} Triangle. 2 . In the Tower of Hanoi puzzle, disks stacked on one peg are to be moved to another with. This leaves us with three triangles, each of which has dimensions exactly one-half the. svg. Follow. Sierpinski sieve generator examples. The idea is simple: lay out pennies on a large horizontal surface, such as a floor, in the pattern of a Sierpinski triangle. Other resolutions: 320 × 52 pixels | 640 × 104 pixels | 1,024 × 167 pixels | 1,280 × 209 pixels | 2,560 × 418 pixels. 9K Downloads. This essentially simulates the recursion iteratively. Pick any number inside Pascal’s triangle and look at the six numbers around it (that form alternating petals in the flowers drawn above). Ele pode ser criado começando com um triângulo grande e equilátero e cortando repetidamente triângulos menores fora de seu centro. Sierpinski triangle/Graphical for graphics images of this pattern. html This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. Start with a single large triangle. Like the Sierpinski triangle, the Barnsley fern shows how graphically beautiful structures can be built from repetitive uses of mathematical formulas with computers. Here’s what it looks like after 5 dots are connected, and here it is after 38 dots. Fractals are a series of intricate patterns with aesthetic, mathematic, and philosophic significance. Sep 19, 2016 - Welcome to the r/Tattoos subreddit community. H. This is similar to another concept in mathematics that you saw before: with recursive sequences, you start with a specific number, and then you apply the. 5, sqrt(3)/2], 8); >> figure(); hold on; >> for i = 1:length(out) patch(out(i). However, the equations can be simplified into rational. Example. 7. 1 Komento. ; Sierpinski carpetThe answer to 1) is obviously yes, since Fortran is a general programming language. The Sierpinski triangle activity illustrates the fundamental principles of fractals – how a pattern can repeat again and again at different scales and how this complex shape can be formed by simple repetition. I actually. He is in 10th grade, but there are even some 9th graders in his class! I am enjoying his geometry as it has amazing quilt design applications! If I only had more time!! Happy Quilting!Recursion. It can grow or shrink by using the same pattern. ","renderedFileInfo":null,"shortPath":null,"tabSize":8,"topBannersInfo":{"overridingGlobalFundingFile":false,"globalPreferredFundingPath":null,"repoOwner":"35P10. Here’s what it looks like after 5 dots are connected, and here it is after 38 dots. Start with any shape (a closed bounded region) in the plane, like shown in the rst. penup () t. setColor. The Sierpinski triangle of order 4 should look like this: Related tasks. Sierpinski triangle within a delta symbol + variable x. Looks great. If one takes Pascal's triangle with 2 n rows and colors the even numbers white, and the odd numbers black, the result is an approximation to the Sierpinski triangle. Best Tattoo near Extreme Ink 2 - Extreme Ink 2, Paradigm Tattoo Company, Mark’d Body Art, Government Street Tattoo, Carne Tattoo, Empire Tattoo, Painted Lotus Studios,. Medieval Eye. ; Sierpinski carpetThe Hojo Clan’s “Mitsuuroko” (三つ鱗) But in Japan, where Zelda was created, things are a little different. Then I recently wanted. Three iterations of simple electronic oscillators. Label the triangle accordingly. 0 Unported license. Fractal representations can be found in nature and in mathematics. xvals, out(i). Victoria, BCSierpinski Tetrahedra. add to list. Produce an ASCII representation of a Sierpinski triangle of order N. IMGBIN. Use all of them. You could make the argument that the middle portion of the initial triangle can accommodate a fourth triangle, but we are disallowing rotation, so that. Figure 2 shows theThe Sierpinski triangle is a great illustration of this effect. From Wikimedia Commons, the free media repository. See more ideas about triangle quilt, quilts, quilt inspiration. Triangle inside a circle means triune, the world of forms, enclosed in eternity circle. The Sierpinski’s triangle works with 3 points, however, other interest patterns can emerge with more (K) points. The curve can be written as a Lindenmayer system with initial string "FXF--FF--FF", string. Thank you Jeremy from Drexel University, Philadelphia, USA and Andrei, from Tudor Vianu National College, Bucharest, Romania for two more excellent solutions. <p style=”margin: 0px; font-size: 12px; line-height: normal; font-family: Helvetica;”>Hi, I am trying to decide whether to get my first tattoo on my shoulder or lower on my arm. High quality Sierpinski Triangle Art-inspired gifts and merchandise. Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Painless and easy to apply. File history. Starting with a simple triangle, the first step, shown in the. The above program will allow the user to create their own Sierpinski Triangle, and watch the fractal develop as they step through each recursive iteration. The Sierpinski pyramid is the 3-dimensional version of the Sierpinski triangle, named after the Polish mathematician Waclaw Sierpinski. When was Sierpinski triangle invented? 1915 The. forward (size) t. An IFS and an For a Sierpinski triangle the set T will contain the three transforms described above. Moderate. 100% Pen. It is also called the Sierpiński gasket or Sierpiński triangle. Our goal is to produce 3D rotating Sierpinski Pyramids using JavaScript and WebGL. Dec 13, 2019 - Explore Melissa McCaskill's board "Sierpinski Triangle Quilt", followed by 239 people on Pinterest. Plot the current position. Explore. The Sierpinski triangle (ST) is a fractal mathematical structure that has been used to explore the emergence of flat bands in lattices of different geometries and dimensions in condensed matter. black); g. Sierpinski (1882-1969), which requires the following steps for its construction: start with an equilateral triangle, indicated with. org Fraktál; Pascal-háromszög; Usage on it. Example. This triangle is named after the Polish mathematician. For comparison, the colour of the outline of its background is green, yellow or purple for the coefficient modulo 3 being 0, 1 or 2, respectively. Click on a date/time to view the file as it appeared at that time. 102-2227 Sooke Rd. Funny, cool, or just plain weird, you'll find the socks your feet deserve. Tags Sierpinski Octahedron・3D print model to download・. The function I used was: def sierpinski (screen, x, y, size, MinSize): if size <= MinSize: #creating a new triangle object T = triangle (x, y, size, white) #drawing the triangle to screen T. It doesn't need to be equilateral, though. Does that mean each piece of the Triforce is itself a full Triforce, making a Sierpiński triangle? There are many ways to generate geometric fractals. We take a solid equilateral triangle T 0 , partition it into ur congruent equilateral triangles and remove the interior of the middle triangle to obtain a continuum T 1 . , Nm = 3m. Curate this topic Add this topic to your repo To associate your repository with the sierpinski-triangle topic, visit your repo's landing page and select "manage topics. Start with a single large triangle. 744 × 644. I can't even get my triangle to show up in just black pixels, and what we're supposed to do is get it to appear with the top corner as red, the bottom left as green. More precisely, the limit as n n approaches infinity of this parity-colored 2n 2 n -row Pascal triangle is the Sierpinski triangle. Thus the Sierpinski triangle has Hausdorff dimension log (3)/log (2) = log23 ≈ 1. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. . . Sierpinski triangle evolution, Wikipedia. If you want more layers of the Sierpinski triangle then you need to add another loop, within the loop scale the current point by sqrt (3) and add another random rv. import math, turtle window=turtle. A fractal is a quantitative way to describe and model roughness. And here in Sierpinski triangles, I needed so many lines of code. Alternate Theories. Start with a single large triangle. The Sierpinski Triangle Algorithm. Here 's a F90 implementation of a (different) Sierpinski algorithm in text. Repeat step 2 for the smaller triangles, again and again, for ever! First 5 steps in an infinite process. A new dot then gets created at the. Starting with a single triangle: We have marked this as level 0, the initial. The resulting resonant network has unique, apparently paradoxical, properties since in the limit of infinite iterations it is dissipative even though it is built using purely reactive. The Sierpinski triangle is another example of a fractal pattern like the H-tree pattern from Section 2. Re: Sierpinski Triangle. " You can create the Sierpinski Triangle (and very similar fractals) with surprisingly little code. Sierpinski triangle within a delta symbol + variable x. Create a 4th Order Sierpinsky Triangle. Repeat step 2 for each of the remaining smaller triangles forever. It is a three-dimensional generalization of the one-dimensional Cantor set and two. View License. 2. Upon each iteration, take each triangle which is pointing up and inscribe an. ; Sierpinski carpetMon historique de like. Closely related to the gasket is the Sierpinski carpet. It’s not magic and not all that surprising. 1 * :level ;add above line to avoid z-fighting rt. Here is how you can create one: 1. midpoints of the existing triangle to make a new, downward-facing triangle. Alternate Theories. File usage on Commons. Sierpinski gaskets and Menger sponges, Paul Bourke. [1] For n > 3, the result is a 3-dimensional bulb-like structure with fractal surface detail and a number of "lobes" depending on n. The Ultimate Fractal Gallery. Sierpinski triangle, or Sierpinski gasket, is a fractal set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. If we start with a single square filled in (i. The features that characterize the Sierpinski tree are self-similarity and connectedness. The Sierpinski Triangle is a fractal named after a Polish mathematician named Wacław Sierpinski, who is best known for his work in an area of math called set theory. Tattoos. ; Sierpinski carpetSierpinski triangles: The Sierpinski triangle iterates an equilateral triangle (stage 0) by connecting the midpoints of the sides and shading the central triangle (stage 1). The Sierpinski triangle illustrates a three-way recursive algorithm. Construction In Google Sheets. Sierpinski triangle/Graphical for graphics images of this pattern. A popular demonstration of recursion is Sierpinski’s Triangle. Try increasing the depth, and you should see that the triangle gets more and more detailed. The diagram usually drawn represent successive steps of the construction. . Divide this large triangle into four new triangles by connecting the midpoint of each side. Start with an equilateral triangle. Construct an equilateral triangle (Regular Polygon Tool). You can tweak the script to draw the triangle using more blocks or with a different type of block. (Or use a d6 and divide by 2. Pascal's triangle is a well-known triangular array of numbers and when these numbers are plotted modulo 2, a fractal known as the Sierpinski triangle appears. org Triángulo de Sierpinski; Usage on hu. Here's the most concise way I was able to come up with. But if you visualize $3$ more triangles (second iteration), there would be no points from the first iteration triangle to remove. In. Sierpinski triangle/Graphical for graphics images of this pattern. The Polish mathematician Wacław Sierpiński described the pattern in 1915, but it has appeared in Italian art since the 13th century. Divide this large triangle into three new triangles by connecting the midpoint of each side. Well, now I am close to it but still out of reach. Don't do that here. Beat 1 C of the butter until it becomes fluffy and lighter colored. The Sierpinski triangle is a beautiful and intriguing pattern that can be used to explore many mathematical concepts. Written by Ranuka Dharmaratne. Here we look into fractal features in the electronic properties of ST flakes and molecular chains simulating experimental synthesized fractal. The user will be able to control the amount of subdivisions. Read our privacy policy to learn more I accept cookiesHere is how you can create one: 1. I find that it's fun to decorate each stage differently. The user will be able to control the amount of subdivisions. 6. e. An IFS and an Sierpinski Triangle also called as Sierpiński Gasket or Sierpiński Sieve is a fractal with a shape of an equilateral triangle. Thank you for this. Create your own Sierpinski Triangle: 1. Originally constructed as a curve, this is one of the basic examples of self-similar sets,. For a real Sierpinski triangle, this process must be repeated forever, so that there are infinitely many triangles that are infinitesimally small. Divide that triangle into four equilateral. The second iteration looks like this and has an area of 9/16units²: At each iteration, we note that the area of the “triangle” is 3/4 of the previous. The. By Morgan Gatekeeper: Tempe, AZ. Filter by. pyplot based on 3 dots (x,y) in 2D? For instance, to compose a Sierpinski triangle from polygons, and plot those polygons onto a figure: The Sierpinski Triangle is a beautiful and intricate fractal pattern that has captured the imagination of mathematicians and artists alike. class Sierpinski: def __init__ (self): self. Sierpiński Triangle - a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. * ((0,0). If the random number generation is biased, the resulting triangle. For the Sierpinski triangle, doubling its side creates 3 copies of itself. wikipedia. Call line 3. The Sierpinski triangle has Hausdorff dimension log(3)/log(2) ≈ 1. Updated Jun 16, 2019. The Sierpinski triangle illustrates a three-way recursive algorithm. [1] He was known for contributions to set theory (research on the axiom of choice and the continuum hypothesis ), number theory, theory of functions, and topology. A Sierpinski triangle or Sierpinski triangle gasket is a fractal resulting from doing the following: [1] Start with an equilateral triangle. The Sierpiński triangle is a modified version where a. add to list. Sierpinski fractal. Send. y is passed to drawTriangle() but the function doesn't use it. The Sierpinski Triangle, also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractor with the overall shape of an equilateral triangle, subdivided recursively into. The Sierpinski triangle illustrates a three-way recursive algorithm. Then: While the worklist is not empty: Remove the first element from the worklist. Repeat step 2 for the smaller triangles,. Menger sponge. * ((0,0). The pattern was described by Polish mathematician Waclaw Sierpinski in 1915, but has appeared in Italian art since the 13th century. So I recently found out about the Sierpinski triangles and decided to code it up myself because it seemed like a fun thing to do. Unique Sierpinski Triangle Posters designed and sold by artists. The Sierpinski triangle can be realized using an LC network, that is, by constructing each level with inductors and interconnecting the levels via capacitors. 3 of the textbook. Close. Click and drag the Sierpinski Tetrahedron above to rotate it. The Sierpiński sieve is a fractal described by Sierpiński in 1915 and appearing in Italian art from the 13th century (Wolfram 2002, p. The first of plane figures in Sacred Geometry and one of the most significant. The Sierpinski triangle of order 4 should look like this: Related tasks. Divide this large triangle into four new triangles by connecting the midpoint of each side. Fractals are made up from simple rules but appear to be very complex and have lots of amazing properties, on top of being stunning to look at. Apr 16, 2013 - This Pin was discovered by Cat Townsend. (15) Figure 1. They can be anywhere, but for aesthetic reasons it is common to pick three points that will form an equilateral triangle. Sierpinski Triangle, Poster. Nine different waysPlotting the good old Sierpinski triangle. From Wikimedia Commons, the free media repository. Now see The Impossible Triangle: here: step by step how to draw The. This PNG image was uploaded on November 9, 2018, 7:55 pm by user: degracezone2 and is about . (The unit square is the union of two. Give examples to show the self-similarity of the Sierpinski triangle. Recursive graphics: The Sierpinski Triangle. It'll print out messages as it draws all the blocks. However, similar patterns appear already in the 13th-century Cosmati mosaics in the cathedral of Anagni, Italy. The 1'st order shape is made of 4 tetrahedrons. Divide it into 4 smaller congruent triangle and remove the central triangle . If you use the following seed list X where N is equal to a power of 2, it generates a discrete version of the sierpinski triangle represented as 1's and 0's. This image by Noon Silk shows the first six stages of the procedure. This should split your triangle into four smaller triangles, one in the center and three around the outside. 3. Created by. Task. Write a function sierpinski () that takes two arguments n and size. Sierpinski triangle within a delta symbol + variable x. pyplot based on 3 dots (x,y) in 2D? For instance, to compose a Sierpinski triangle from polygons, and plot those polygons onto a figure:The Sierpinski Triangle is a beautiful and intricate fractal pattern that has captured the imagination of mathematicians and artists alike. 1. A much easier approach is to start with a triangle and draw another triangle upside down inside it. Hope this helps! Sierpinski’s Triangle is a fractal — meaning that it is created via a pattern being repeated on itself over a potentially indefinite amount of times. Figure 4 is an example. e. 3 of the textbook. Including stacks of coke cans, radio antennas, crumpled sponges, and more. Share. Sierpinski carpet. e. Example.