; 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). Sierpinski triangle. Sierpinski triangle within a delta symbol + variable x. Produce an ASCII representation of a Sierpinski triangle of order N. I happened to see a tweet from @LASTEXITshirts celebrating the birthday of actor Andy Serkis (56 today), and I recognised the pattern on the suit he’s wearing. Sierpinski Triangle, Poster. 8. The. Hepting. Shrink the triangle to half height, and put a copy in each of the three corners. This process is repeated over and over again with the resulting triangles to produce the Sierpinski triangle, as. It is impossible to draw a point in the whitespace middle of the original 3 points because that is not halfway between any 2 existing points. so the code should have been. Size of this PNG preview of this SVG file: 680 × 111 pixels. The first of plane figures in Sacred Geometry and one of the most significant. Looks great. The Sierpinski triangle illustrates a three-way recursive algorithm. Tags Sierpinski Octahedron・3D print model to download・. If its n value is not zero: Draw the triangle connecting the midpoints of the triangle. tol: A stopping creiteria to draw the sub-SPT. Use all of them. Age 16 to 18. More precisely, the limit as n n approaches infinity of this parity-colored 2n 2 n -row Pascal triangle is the Sierpinski triangle. The Polish mathematician Wacław Sierpiński described the pattern in 1915, but it has appeared in Italian art since the 13th century. Sierpinski's Triangle (Unity) Description The Sierpinski Triangle is a type of self-similar set, which is a pattern that can be reproduced recurisvely at different reductions and magnifications. 11:01, 1 April 2022. /. ; 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. Dec 13, 2019 - Explore Melissa McCaskill's board "Sierpinski Triangle Quilt", followed by 239 people on Pinterest. import turtle def draw_triangle (some_turtle): #This for loop will create - Outer Triangle some_turtle. From Wikimedia Commons, the free media repository. Then you apply the same procedure to the remaining 8 subsquares, and repeat this ad infinitum. Explore math with our beautiful, free online graphing calculator. Patterns. Self-similar means when you zoom in on a part of the pattern, you get a perfectly identical copy of the original. This course is intended f. And so forth. Just see the Sierpinski Triangle below to find out how infinite it may look. What is the formula for Sierpinski triangle? The area of a Sierpinski Triangle is found as follows: n=m^d, where n is the number of pieces making up the triangle, and m is the factor for magnification. These videos are from the Fractals and Scaling course on Complexity Explorer (complexityexplorer. Example. Um dos fractais que vimos no capítulo anterior foi o triângulo de Sierpinski, que recebeu o nome do matemático polonês Wacław Sierpiński. That is to say, the even numbers in Pascal's triangle correspond with the white space in Sierpinski's triangle. Construction In Google Sheets. Here's how the algorithm works: Base Case: The base case of the recursion is when it reaches our specified iteration value. The concept behind this is the fact that the filled triangle is filled by an empty. Reference: Algorithmic self-assembly: Rothemund PW, Papadakis N, Winfree E (December 2004). File:Sierpinsky triangle (evolution). Blackwork. Shrink the triangle to 1. It’s not magic and not all that surprising. Explore math with our beautiful, free online graphing calculator. Plot the current position. (15) Figure 1. This file is licensed under the Creative Commons Attribution-Share Alike 3. Math. Tattoo Styles. 7 (3) 2. The procedure for drawing a Sierpinski triangle by hand is simple. The Sierpinski triangle of order 4 should look like this: Related tasks. 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. This will leave three upward-facing triangles remaining, each of which is like the original, but half the width. Shop. The Sierpinski triangle of order 4 should look like this: Related tasks. ; Sierpinski carpetThe Hojo Clan’s “Mitsuuroko” (三つ鱗) But in Japan, where Zelda was created, things are a little different. Math Monday: Penny Sierpinsky Triangle. Create your own Sierpinski Triangle: 1. Sierpinski Triangle, Canvas Print. The result looks like a fractal called the Sierpinski triangle or Sierpinski gasket. All you need to do is set count in your parent method. The Sierpinski triangle illustrates a three-way recursive algorithm. Figure 2 shows theThe Sierpinski triangle is a great illustration of this effect. This fractal is part of the “self-similar” set because of this internal repetition. This triangle is named after the Polish mathematician. 744 × 644. Now Sierpinski does not fill anything but only unfills the central subtriangle and calls itself on the other subtriangles. The family of generalised Sierpinski triangles is a set of four triangle shaped attractors found by generalising the iterated function system (IFS) of the Sierpinski triangle. 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. brent = turtle. add to list. C++. My first tattoo - Lily of the valley with skulls done by the lovely Cate Webb, Black Cat Tattoo, Victoria, BC. Written by Ranuka Dharmaratne. . 69 Regular price $59. Marami pa tulad nito. This is the order zero triangle. Write a function sierpinski () that takes two arguments n and size. Sierpinski-like triangles can also be constructed on isosceles or scalene triangles. Upon calling the sierpinski command at the AutoCAD command-line, the program will prompt the user to specify three distinct non-collinear points defining an arbitrary. Fractals. the Sierpenski triangle: This pattern depends critically on our initial conditions. Fine Line Tattoos Victoria BC. Next, <Ctrl>-click the shape to lower the number of iterations, eventually reaching a simple tetrahedron, the 0'th order. Repeat step 2 for the smaller triangles,. Shop; Partner Program; Print; Workbench; Community; Log in Library; Challenges; Groups; Questions; Tutorials; Engineers; Blog; Log in; Join 9,350,000 engineers with over 4,850,000 free. This project generates the Sierpinski Triangle by using the chaos game. it is a mathematically generated pattern that can be reproducible at any magnification or reduction. Let me demonstrate: For our next diagram connect all the dots in the order they are numbered. Fractals III: The Sierpinski Triangle The Sierpinski Triangle is a gure with many interesting properties which must be made in a step-by-step process; that process is outlined below. (Or use a d6 and divide by 2. Medieval Eye. Some month ago however, there was an article about mathematical models of sandpiles along with some images of computer simulations; it struck me to see the same nested triangles as in the Sierpinski triangle (cf e. . Start with a single large triangle. The (x,y) pairing is a correct point, but the other two are not. How 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. Start with a single large triangle. Sierpinski triangle evolution. The Sierpinski Triangle is a fractal. The Sierpinski triangle of order 4 should look like this: Related tasks. ) The first time it is done, three triangles remain. The kth Sierpinski triangle is a triangle whose interior is sub-divided as follows: Take the three mid-points of the sides of the triangle. Furthermore, the Sierpinski triangle has zero area: this can be. a triangle. Sierpinski triangle within a delta symbol + variable x. Click to use. A recursive way i found to draw what i think you were expecting. The original algorithm is as familiar: Take three points in a plane to form a triangle, you need not draw it. The Sierpinski tetrahedron or tetrix is the three-dimensional analogue of the Sierpinski triangle. The probably most well-known occurrence of the Sierpinski Triangle is as the odd entries of the Pascal triangle. As an added bonus, we’ll implement a realistic lighting system to render our pyramids. An IFS and an attractor are de ned in Section 2. py. Sale price $54. setColor. A new dot then gets created at the. Wacław Franciszek Sierpiński (1882 – 1969) was a Polish mathematician. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. 3 . In this case, we mean the roughness of the perimeter of the shape. height = function. Press the following keys at the same time. 3) Have them shift the Sierpinski Triangle so that the triangle of it matches a value in some other row of the Pascal Triangle grid. The Sierpinski triangle illustrates a three-way recursive algorithm. The Sierpinski triangle fractal was first introduced in 1915 by Wacław Sierpiński. An abstract 3D rendering background. Furthermore, it is the only such triangle other than the ordinary middle triangle. If the original triangle is an obtuse triangle, the largest value of iter is 12. The most obvious way to draw a Sierpinski triangle is by triangle replacement. However, we use a different method — Pascal’s triangle — to draw an approximation in Google Sheets. 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. Sierpinski triangle/Graphical for graphics images of this pattern. Sierpinski triangle/Graphical for graphics images of this pattern. This creates a struct of length 3^n, each entry of which contains the coordinates of one of the small triangles in the sierpinski triangle. Though the Sierpinski triangle looks complex, it can be generated with a short recursive program. 5 . It can grow or shrink by using the same pattern. It was described by the mathematician Sierpinski in 1915. forward(size) t. Ignoring the middle triangle that you just created, apply the same procedure to. [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 Triforce has a little more meaning. Here is how you can create one: 1. Updated on Feb 2. It'll print out messages as it draws all the blocks. xvals, out(i). Sierpinski triangle recursion using turtle. For the Sierpinski triangle, doubling its side creates 3 copies of itself. And here in Sierpinski triangles, I needed so many lines of code. Click on a date/time to view the file as it appeared at that time. The Sierpinski triangle of order 4 should look like this: Related tasks. The user will be able to control the amount of subdivisions. g. Like the Sierpinski triangle, the Barnsley fern shows how graphically beautiful structures can be built from repetitive uses of mathematical formulas with computers. 8. That is to say, the even numbers in Pascal's triangle correspond with the white space in Sierpinski's triangle. Sierpinski triangle/Graphical for graphics images of this pattern. Today. The Sierpinski Triangle Algorithm. The Sierpinsky Triangle is a fractal created by taking a triangle, decreasing the height and width by 1/2, creating 3 copies of the resulting triangle, and place them such each triangle touches the other two on a corner. 24. Produce an ASCII representation of a Sierpinski triangle of order N. He also invented many popular fractals, including the Sierpinski triangle, the Sierpinski carpet and the Sierpinski curve. The triangle is likely the oldest and most studied shape in terms of symbolism and sacred meaning. This utility lets you draw colorful and custom Sierpinski fractals. *(1, sqrt(3))]) # create a scatter plot of that observable f, ax, sc = scatter(tr, markersize = 3) # create the starting point for the iterative algorithm m = Point2f(0. Randomly select any point inside the triangle and consider that your current position. 2. Although I am unsure how, this set was originally formed as a curve and it can be constructed under any. ; Remove center part. This PNG image was uploaded on November 9, 2018, 7:55 pm by user: degracezone2 and is about . e. The canonical Sierpiński triangle uses an equilateral triangle with a base parallel to the horizontal axis (first image). Sierpinski’s Triangle is even more special than most as it. The recursive structure. July 29, 2016 at 5:25 pm #157279. 9K Downloads. I actually. By the way, the Hausdorff-Besicovitch dimension of the Norwegian coast is approximately 1. 4. Pick one of the vertices on the triangle and define that vertex as "pointing up" (this helps when describing the fractal without pictures). Sierpinski triangle. Thus the Sierpinski triangle has Hausdorff dimension log (3)/log (2) = log23 ≈ 1. The answer to 2) is more complicated, because in any language writing graphics is more complicated, because the hardware changes. If one takes a point and applies each of the transformations d A, d B, and d C to it randomly, the resulting points will be dense in the Sierpinski triangle, so the following algorithm will again generate arbitrarily close approximations to it:. left (angle) t. Produce an ASCII representation of a Sierpinski triangle of order N. Sierpinski triangle evolution, Wikipedia. Discover (and save!) your own Pins on Pinterest Jun 9, 2022 - This Pin was discovered by Adrianne Otis. In this Demonstration we create a Sierpià  ski triangle within three vertices in 2D or 3D. class Sierpinski: def __init__ (self): self. Task. Each removed triangle (a trema. For a real Sierpinski triangle, this process must be repeated forever, so that there are infinitely many triangles that are infinitesimally small. wikipedia. This process is repeated over and over again with the resulting triangles to produce the Sierpinski triangle, as. The triangle self-assembled through halogen and hydrogen. Each triangle in the sequence is formed from the previous one by removing, from the centres of all the red triangles, the equilateral triangles formed by joining the midpoints of the edges of the red triangles. 3. The Sierpiński sieve is a fractal described by Sierpiński in 1915 and appearing in Italian art from the 13th century (Wolfram 2002, p. Sierpinski triangle, or Sierpinski gasket, is a fractal set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Sierpinski triangle/Graphical for graphics images of this pattern. 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. It is also called the Sierpiński gasket or Sierpiński triangle. The Sierpinsky Triangle is a fractal created by taking a triangle, decreasing the height and width by 1/2, creating 3 copies of the resulting triangle, and place them such each triangle touches the other two on a corner. ago. Tags Spiral Vase Mode Sierpinski Pyramid. Starting with a single triangle: We have marked this as level 0, the initial. Sierpiński Triangle - a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. The projects are best viewed from oldest to newest. The aim of this paper is to generalize this formula to. <Alt>-click the shape to raise the number of iterations. . There is a similar method that is. The Sierpiński triangle is a modified version where a. Measure running times on your machine and plot. Ele é uma das formas elementares da geometria fractal por apresentar algumas propriedades, tais como: ter tantos pontos como o do conjunto dos números reais; ter área igual a zero; ser auto-semelhante ; não perder a. A Sierpinski triangle is a geometric figure that may be constructed as follows: Draw a triangle. The Sierpiński gasket is defined as follows: Take a solid equilateral triangle, divide it into four congruent equilateral triangles, and remove the middle triangle; then do the same with each of the three remaining triangles; and so on ( see. Overview. Figure 3 (Sub-triangles at prefix (x)). imgur. "Write an algorithm and a Python implementation to draw a Sierpinski triangle. The way you did it in Turbo C would not work today in. Funny, cool, or just plain weird, you'll find the socks your feet deserve. The Sierpinski Triangle is one of the most well-known fractals. Sierpinski Hamantaschen. As in Figure 4, we see that this point hops into one of the three next-smaller triangles, since these triangles represent all points that are half the distance to the three vertices from points in the largest removed triangle. I could not see the point in adding the extra load of VUE and wrote a native example. We represent Sierpinski sub-triangles using ternary strings ((x)) which represents the sequence of tridrants chosen to arrive at the given sub-triangle. To solve this problem, first I made a table, and I filled it with the properties of the figures in the problem. Steps for Construction : 1 . Ignoring the middle triangle that you just created, apply the same procedure to. Site officiel : : : : 1: Cream Butter and Sugar. This Sierpinski Triangle studio shows at least 17 different methods of drawing the Sierpinski Triangle. First we will begin with the process of repeated removal, and an exploration of the Sierpinski Triangle. File usage on other wikis. Next, roll a die. Example. Sierpinski Triangle is a group of multiple (or infinite) triangles. In 10-20 steps, the point off S is practically indistinguishable from a similar point on S. The sequence starts with a red triangle. I am hoping to get the fractal image of the Sierpinski Triangle (link below) What are the. Organic ink. Therefore my intuition leads me to believe it's topological dimension is 1 (as the topological dimension must be less than the Hausdorff dimension). Start with a triangle (any type). Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. The Sierpiński sieve is a fractal described by Sierpiński in 1915 and appearing in Italian art from the 13th century (Wolfram 2002, p. Visual Studio 2017Ignoring the middle triangle that you just created, apply the same procedure to each of the three corner triangles. They can be anywhere, but for aesthetic reasons it is common to pick three points that will form an equilateral triangle. A fractal is a quantitative way to describe and model roughness. From $26. Although its topological dimension is 2, its Hausdorff-Besicovitch dimension is log(3)/log(2)~1. The Sierpinski triangle is another example of a fractal pattern like the H-tree pattern from Section 2. import math, turtle window=turtle. 47. You can adjust the parameters of the initial triangle, such as its color and size, and generate as many fractal iterations from it as you. He published over 700. 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,. Pick any number inside Pascal’s triangle and look at the six numbers around it (that form alternating petals in the flowers drawn above). Originally constructed as a curve, this is one of the basic examples of self-similar sets, i. 2. Triangles. As with the gasket the area tends to zero and the total perimeter of the holes tend to infinity. I've tried altering where the Sierpinski() function is called and I've tried several different ways to represent the x and y coordinates (which correspond to the bottom point of the triangle). History. One of our problems was to create a Sierpinski triangle in stage 1,2, and 3 and find the total area of. By Morgan Gatekeeper: Tempe, AZ. Start with a single large triangle. For more information, see Help:SVG. Set v n+1 = 1 / 2 (v n + p r n),. Source code: Learn graph theory algorithms: Learn dynamic prog. Example. Draw a triangle (preferably equilateral but any can do) (if depth = 0 then RETURN from here, otherwise continue) decrease depth. The Sierpinski triangle (also with the original orthography Sierpiński), also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. 22-Mar-2022The Sierpinski triangle is a fractal described by Waclaw Sierpinski in 1915. X = [0] * (N//2 + N%2 - 1) + [1] + [0] * (N//2) Here is the pattern generated for N = 32: If N is a prime number (N > 7) the resulting patterns that get generated quickly devolve into. But if you visualize $3$ more triangles (second iteration), there would be no points from the first iteration triangle to remove. Beat 1 C of the butter until it becomes fluffy and lighter colored. 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. Remove center part. Sierpinski sieve generator examples. Tattoo Lily. Here’s. Default value 0. He taught a lesson on fractals a few years ago, and my. Menger sponge. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright. Closely related to the gasket is the Sierpinski carpet. The construction of a Sierpinski triangle might seem like an intricate job. Sierpinski carpet. Watch. <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. Trying to make sierpinski triangle generator in a functional programming style. Example. Each students makes his/her own fractal triangle composed of smaller and smaller triangles. (This is pictured below. Though the Sierpinski triangle looks complex, it can be generated with a short recursive program. Pick a starting point at random. Setup and calculation of the area of Sierpinski's Triangle4. Other resolutions: 277 × 240 pixels | 554 × 480 pixels | 887 × 768 pixels | 1,182 × 1,024 pixels | 2,364 × 2,048 pixels. Wacław Sierpiński foi o primeiro matemático a pensar nas. The ST fractal is obtained in the limit of high number of iterations. In that case replace drawPolygon with fillPolygon and the triangles will be filled in. The curve can be written as a Lindenmayer system with initial string "FXF--FF--FF", string. 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. svg. Upon each iteration, take each triangle which is pointing up and inscribe an. Discover (and save!) your own Pins on PinterestThe Sierpiński triangle named after the Polish mathematician Wacław Sierpiński), is a fractal with a shape of an equilateral triangle. Wacław Franciszek Sierpiński ( Polish: [ˈvat͡swaf fraɲˈt͡ɕiʂɛk ɕɛrˈpij̃skʲi] ⓘ; 14 March 1882 – 21 October 1969) was a Polish mathematician. 585. He made important discoveries in set theory, number theory, analysis and topologies, publishing over 700 papers and 50 books. 3 of the textbook. Discover (and save!) your own Pins on PinterestThe 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. My goal was actually drawing it using thousands of dots but after breaking my head a little, i've settled for this solution: import turtle def sierpinski (length, level): if level == 0: for i in range (3): turtle. s:= log(3)/ log(2) ≈ 1. Divide this large triangle into four new triangles by connecting the midpoint of each side. An example is shown in Figure 3. See how this compares. Visually, it looks like if you remove the blue triangle below, you would also remove the points GHI leaving the line segments of the larger triangle with a discontinuity in their centers. 2 width, make three copies, and position the three shrunken triangles so that each triangle touches the two other triangles at a corner (image 2). Figure 4 is an example. Start with a triangle. After sketching the first few stages there is a worksheet for students to calculate side length, # of triangles/squares, and the remaining area of the figure at each stage. Shrink the triangle to half height, and put a copy in each of the three corners. penup () t. From Wikimedia Commons, the free media repository. First we will begin with the process of repeated removal, and an exploration of the Sierpinski Triangle. Example. Produce an ASCII representation of a Sierpinski triangle of order N. svg. You seem to be thinking the paint is something your control, when it's not. Jun 9, 2022 - This Pin was discovered by Adrianne Otis. Sep 19, 2016 - Welcome to the r/Tattoos subreddit community. Jun 9, 2022 - This Pin was discovered by Adrianne Otis. If one takes Pascal's triangle with 2n 2 n rows and colors the even numbers white, and the odd numbers black, the result is an approximation to the Sierpinski triangle. Three iterations of simple electronic oscillators. * ((0,0). 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. You may do so in. Then I recently wanted. Each small section of the Sierpinski triangle looks like a miniature version of the whole thing. Sierpinski carpet. If the die lands on one or two, move half the. In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) [1] [2] [3] is a fractal curve. The Polish mathematician Wacław Sierpiński described the pattern in 1915, but it has appeared in Italian art since the 13th century. Near the. To create a nested pyramid from a shape p with depth n, assuming n is an integer greater than or equal to 1: otherwise n must be more than 1, so create a nested pyramid from p with depth n - 1. To see this, we begin with any triangle. It is also called the Sierpiński gasket or Sierpiński triangle. This is the most Tool sounding thing ever Hahahha. Describe the procedure (recursion) to construct the Sierpinski triangle in your own words. The deterministic algorithm works as follows: Choose a suitable starting point, such as (0, 0). The pattern was described by Polish mathematician Waclaw Sierpinski in 1915, but has appeared in Italian art since the 13th century. Click and drag the Sierpinski Tetrahedron above to rotate it. 000 -> 0 001 -> 1 010 -> 0 011 -> 1 100 -> 1 101 -> 0 110 -> 1 111 -> 0. The procedure for drawing a Sierpinski triangle by hand is simple. Fractal Properties of the Sierpinski Triangle 5. Browse more or create your own. Now see The Impossible Triangle: here: step by step how to draw The. Here are the steps for the 3 (and K. O Triângulo de Sierpinski - também chamado de Junta de Sierpinski - é uma figura geométrica obtida através de um processo recursivo. A much easier approach is to start with a triangle and draw another triangle upside down inside it. Label the triangle accordingly. Difficult. (note: the new, smaller triangle will point down). yvals, 'k'); end That crashes on. There are di erent ways to construct it, and one of them is by shrinking and duplication [7]. However, similar patterns appear already in the 13th-century Cosmati mosaics in the cathedral of Anagni, Italy. This project gives a simple implementation of Sierpinski triangle in 2D and 3D respectively, using OpenGL (freeglut). The idea is simple: lay out pennies on a large horizontal surface, such as a floor, in the pattern of a Sierpinski triangle. It is a self similar structure that occurs at different levels of iterations, or magnifications. 5 . It is a self similar structure that occurs at different levels of iterations, or magnifications. Originally constructed as a curve, this is one of the basic examples of self-similar sets—that is, it is. | Inkbox™ | Semi-Permanent Tattoos. . Geometric Wolf. setColor (Color.