Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this siteThe first example we look at is the Sierpiński triangle and with some effort we learn that its dimension is. The Sierpinski triangle of order 4 should look like this: Related tasks. Now see The Impossible Triangle: here: step by step how to draw The. Then you apply the same procedure to the remaining 8 subsquares, and repeat this ad infinitum. Divide it into 4 smaller congruent triangle and remove the central triangle . def drawSurroundingTriangles(startx : Double, starty : Double, width. Soften the butter if you haven't already. draw (screen) #adding the triangle to the array Triangle. Share. Analyze the algorithm and find an asymptotic upper bound for its running time in which the problem size is the number of levels to be drawn, with levels as shown below. Shop. Sierpinski triangle evolution, Wikipedia. To build the Sierpinski carpet you take a square, cut it into 9 equal-sized smaller squares, and remove the central smaller square. Browse more or create your own. You can tweak the script to draw the triangle using more blocks or with a different type of block. That is to say, the even numbers in Pascal's triangle correspond with the white space in Sierpinski's triangle. Shop high-quality unique Sierpinski Triangle Art T-Shirts designed and sold by independent artists. Self-similar means when you zoom in on a part of the pattern, you get a perfectly identical copy of the original. Shrink the triangle to half height, and put a copy in each of the three corners. Also some other changes, see comments: public class Sierpinski_Triangle extends JPanel { private static int numberLevelsOfRecursion; //will take long time on numLevels > 12 public. length = 200 self. Randomly select any point on the plane. Organic ink. The renderer will limit the depth so that it does not try to draw triangles smaller than pixels. English: A 7th iteration Sierpinski Triangle rendered in . In this case, we mean the roughness of the perimeter ofTriangle Tattoo. Modified 1 year, 9 months ago. The Sierpinski triangle is a fractal described in 1915 by Waclaw Sierpinski. ; 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. However pyramid can be made quite a lot simpler than your definition: if you have. 3 . The triangle is likely the oldest and most studied shape in terms of symbolism and sacred meaning. The fern is one of the basic examples of self-similar sets, i. For a given puzzle G, puz (G) designates the associated puzzle graph. Every param is passed by value in Java. The canonical Sierpinski triangle uses an equilateral triangle with a base parallel to the horizontal axis. This essentially simulates the recursion iteratively. wikipedia. It can grow or shrink by using the same pattern. Tags Spiral Vase Mode Sierpinski Pyramid. Produce an ASCII representation of a Sierpinski triangle of order N. import math, turtle window=turtle. Sale price $54. $egingroup$ Actually, I guess since the equilateral Sierpinski triangle is the image of this "binary representation" Sierpinski triangle under a linear transformation, you wouldn't need to restart the calculations from scratch. 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. 000 -> 0 001 -> 1 010 -> 0 011 -> 1 100 -> 1 101 -> 0 110 -> 1 111 -> 0. By Morgan Gatekeeper: Tempe, AZ. com/BGloPC. the flower/Apple key) · Shift · 4. add to list. The fractal that evolves this way is called the Sierpinski Triangle. The Sierpinski triangle illustrates a three-way recursive algorithm. Instead you should use (x-length/2,y+height) and (x-length, y) for the top and left points on the triangle. Filter by. geometry sierpinski-triangle fractals sierpinski-carpet algorithms-and-data-structures nanyang-polytechnic. The triangle should be in the bottom center of your window. Organic ink. Sierpinski Triangle, Wall Tapestry. Write a function sierpinski () that takes two arguments n and size. Tap/Click a 4 th time to place starting dot (inside your triangle). Sierpinski Triangle, Face Mask Cloth Face Mask. There are many designs and structures that use the fractal Sierpinski triangle to create materials with new optical properties [7,8], new magnetic properties [9], for temperature control [10–12], to generate molecular constructs [13,14] or to develop multiband antennas [15,16], which is an indicator of its potential applications in the industry. Instead of removing the central third of a triangle, the central square piece is removed from a square sliced into thirds horizontally and vertically. org Frattali per dimensione di Hausdorff The Sierpinski triangle is the set of points that remain after the procedure is repeated indefinitely. Triangle is the first cosmic form, emerged from the chaos that preceded creation. Discover (and save!) your own Pins on PinterestTask. pendown. add to list. Watch. Baroque tattoos. Apr 13, 2022 - This Pin was discovered by Wendy Thacker. 6. It takes a minute or two to show up. Very difficult. Here are the steps for the 3 (and K. And here in Sierpinski triangles, I needed so many lines of code. 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. Start with a triangle. O Triângulo de Sierpinski - também chamado de Junta de Sierpinski - é uma figura geométrica obtida através de um processo recursivo. Discover (and save!) your own Pins on PinterestToday I learned that some suits used for motion capture use a pattern that’s a variation of the Sierpinski triangle fractal. First we will begin with the process of repeated removal, and an exploration of the Sierpinski Triangle. Triangle is one of the most powerful and universal symbols. Sierpinski triangle/Graphical for graphics images of this pattern. But for the purpose of drawing the triangle, as soon as the triangles are too small to see the drawing is accurate enough. With recursion we know that there must be a base case. Updated on Feb 2. The splendid generative potential of the Sierpinski triangle. Herein, we report a retro. Finally, and this is subtle, we’ll show that randomness ensures the chaos game (eventually) get arbitrarily close to every point on S. Label the triangle accordingly. The (x,y) pairing is a correct point, but the other two are not. Viewed 586 times. Command (aka. We could use frag to create filled triangles, but we need to avoid z-fighting by adding a little bit of code to change the elevation of each ‘level’: TO sierpinski :size :level if :level > 0 [ pu setz 0 lower 0. Also, the total number of upright triangles in the entire Sierpinski triangle will be 3^n , or 3 to the power of the amount of iterations (shown here as ‘n’). Do the same for the three largest equilateral triangles left in this one. The slider will set the iteration depth and shows the number of triangles required. It'll print out messages as it draws all the blocks. The generation of Sierpinski on the BowTie is proposed as a miniature antenna with high directivity in [6]. Originally constructed as a curve, this is one of the basic examples of self-similar sets,. The guy is like wow it appears randomly. An example is shown in Figure 3. Created by. Here's an easy way to draw a fractal. See more ideas about triangle quilt, quilts, quilt inspiration. The Sierpinski triangle illustrates a three-way recursive algorithm. Home. This JavaScript code runs in Chrome. If you multiply the numbers in every second petal, you. [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. Environment. 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. Start with a single large triangle. The Sierpinski triangle of order 4 should look like this: Related tasks. The original algorithm is as familiar: Take three points in a plane to form a triangle, you need not draw it. No restriction is applied to iter. I am hoping to get the fractal image of the Sierpinski Triangle (link below) What are the disadvantages Apr 13, 2022 - This Pin was discovered by Wendy Thacker. 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. Visual Studio 2017Ignoring the middle triangle that you just created, apply the same procedure to each of the three corner triangles. <Alt>-click the shape to raise the number of iterations. The Sierpinski triangle of order 4 should look like this: Related tasks. 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 . 585, which follows from solving 2d = 3 for d. Produce an ASCII representation of a Sierpinski triangle of order N. To see the code click in the upper right side a link "edit in JsFiddle". Making an animation: triangle within a triangle. Divide this large triangle into four new triangles by connecting the midpoint of each side. Turtle() def sierpinski(a,t,size): if a==0: for i in range(3): t. C++. Example. calculus; sequences-and-series; fractals; geometric-progressions;The Sierpinski triangle is a fractal attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Specifying the length and depth in the constructor might allow you to have more control, by changing values at one place, you modify it all. Fractals are made up from simple rules but. ; Sierpinski carpetThe answer to 1) is obviously yes, since Fortran is a general programming language. 5850. Makie version: using CairoMakie function sierpinski() # create observable holding scatter points tr = Observable(Point2f[(0, 0), (1, 0), 0. 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. History. Start with a single large triangle. Press To Add Dots Button, adds a dot, half way between one of the 3 original dots (triangle points), and the first dot you placed. Set v n+1 = 1 / 2 (v n + p r n),. Click to use. Follow. 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. This triangle is named after the Polish mathematician. A_ {0} , and identify the midpoints of the three sides. Next, roll a die. The Sirpenski triangle is composed of multiple triangles inside of one triangle. The Sierpinski triangle generates the same pattern as mod 2 of Pascal's triangle. Each small section of the Sierpinski triangle looks like a miniature version of the whole thing. ; Sierpinski carpetThe recursive approach to generate a Sierpinski triangle involves breaking down a larger equilateral triangle into smaller equilateral triangles of equal size. 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. Set v n+1 = 1 / 2 (v n + p r n),. Next, we’ll see how to make an animation. 585. Sierpinski’s Triangle is even more special than most as it. The pattern was described by Polish mathematician Waclaw Sierpinski in 1915, but has appeared in Italian art since the 13th century. That's not how you draw the sierpinski triangle. In this case, we mean the roughness of the perimeter of the shape. This is because, in this program, you are using the bottom right triangle vertex as the primary. Python. 9K Downloads. 4. Lithl • 10 mo. 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. Near the. Here’s what it looks like after 5 dots are connected, and here it is after 38 dots. 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. Tags Sierpinski pyramide - without the need of support. The Polish mathematician Wacław Sierpiński described the pattern in 1915, but it has appeared in Italian art since the 13th century. You may do so in. The Polish mathematician Wacław Sierpiński described the pattern in 1915, but it has appeared in Italian art since the 13th century. svg. From Wikimedia Commons, the free media repository. As with the gasket the area tends to zero and the total perimeter of the holes tend to infinity. Stage 0:Begin with an equilateral triangle with area 1, call this stage 0, or S 0. C++. Metadata. Art. Therefore, it also generates a self-similar fractal, and we call improve wording it a Sierpinski pedal triangle (SPT)´. Create a 4th Order Sierpinsky Triangle. 585. However, similar patterns appear already in the 13th-century Cosmati mosaics in the cathedral of Anagni, Italy. Divide this large triangle into four new triangles by connecting the midpoint of each side. First thing to fix is that drawTriangle must have a return statement somewhere. Mathematics girly self similar recursive concept. 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. The Sierpinski triangle (also with the original orthography Sierpiński), also called the Sierpinski gasket or Sierpinski sieve, is a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Example. Though the Sierpinski triangle looks complex, it can be generated with a short recursive program. Ignoring the middle triangle that you just created, apply the same procedure to. left (120) else: sierpinski (length/2, level. See recursion stock video clips. Otherwise it never stops. It is created by “infinite repetition” of the following steps: (1) for every filled equilateral triangle, locate the midpoints of each side, (2) connect these midpoints to form a smaller triangle, and (3) remove that triangle. Some look two-dimensional, like. Here’s what it looks like after 5 dots are connected, and here it is after 38 dots. Menger sponge. 5. 2. window = turtle. Sierpinski Triangle. The most conceptually simple way of generating the Sierpinski Triangle is to begin with a (usually, but not necessarily, equilateral) triangle (first figure below). prototype. High. Start with a single large triangle. 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. The result looks like a fractal called the Sierpinski triangle or Sierpinski gasket. Example. 3 of the textbook. An IFS and an For a Sierpinski triangle the set T will contain the three transforms described above. Divide this large triangle into four new triangles by connecting the midpoint of each side. File history. 0 Unported license. Fine Line Laurie. s:= log(3)/ log(2) ≈ 1. 5, sqrt(3)/2], 8); >> figure(); hold on; >> for i = 1:length(out) patch(out(i). Size of this PNG preview of this SVG file: 692 × 599 pixels. All orders are custom made and most ship worldwide within 24 hours. Sierpinski sieve generator examples. 11:01, 1 April 2022. For the Sierpinski triangle, doubling its side creates 3 copies of itself. 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. The chaos game is played as follows. Sierpinski Triangle is a group of multiple (or infinite) triangles. 2015 is the 100th anniversary of the Sierpinski triangle, first described by Wacław Sierpiński, a Polish mathematician who published 724 papers and 50 books during his lifetime! The famous triangle is easily constructed by following these steps: Start with an equilateral triangle. Number these points 1 through 3. Black and Grey tattoos. e. Start with any shape (a closed bounded region) in the plane, like shown in the rst. Again, Tjk, G ∈T. Task. From Wikimedia Commons, the free media repository. Start with a triangle (any type). This PNG image was uploaded on November 9, 2018, 7:55 pm by user: degracezone2 and is about . modifying in draw. Here is a Sierpinski triangle where the three sub-triangles have each been drawn in a different colour: Here is the interesting fact - each of the three different coloured triangles is an exact copy of the original triangle. Eye of Magic. 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. Its dimension is fractional—more than a line segment, but less than a. Explore math with our beautiful, free online graphing calculator. import turtle def draw_triangle (some_turtle): #This for loop will create - Outer Triangle some_turtle. Next, students cut out their own triangle. There are many variants of the Sierpinski triangle, and other fractals with similar properties and creation processes. When you call sierpinski recursively, you should pass it x instead of x+x/2. What is the third step? (Sierpinski Triangle) Repeat step two with each of the smaller triangles. ; 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). If this process is continued indefinitely it produces a fractal called the Sierpinski triangle. Your code to plot it might then look like >> out = sierpinski([0,0], [1,0], [0. The Sierpinski triangle of order 4 should look like this: Related tasks. org Fraktál; Pascal-háromszög; Usage on it. forward (size) t. It’s triangles all the way down! Neat but a bit plain. : 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. 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. Updated Jun 16, 2019. Using the cross-hair, create a rectangular box around the image you wish to caputure, then release the mouse. Write a function sierpinski () that takes two arguments n and size. Subdivide it into four smaller congruent equilateral triangles and remove the central triangle. Re: Sierpinski Triangle. 3 of the textbook. Connect the midpoints on each side, forming a new triangle in the middle. Next, <Ctrl>-click the shape to lower the number of iterations, eventually reaching a simple tetrahedron, the 0'th order. Add the granulated sugar and keep beating. This Demonstration steps through a few iterations of the Sierpinski sieve (or gasket), which was described by Waclaw Sierpinski in 1915 but appeared earlier in Italian art. You seem to be thinking the paint is something your control, when it's not. The Sierpinski triangle has Hausdorff dimension log(3)/log(2) ≈ 1. An abstract 3D rendering background. The first thing sierpinski does is draw the outer triangle. For fun, we take advantage of Haskell's layout rules, and the operators provided by the diagrams package, to give the function the shape of a triangle. Therefore my intuition leads me to believe it's topological dimension is 1 (as the topological dimension must be less than the Hausdorff dimension). Follow. append (T) else: #halving the size and then recalling this function size = int (size / 2. Sierpinski Triangle (Fractal) New Reply. (note: the new, smaller triangle will point down). 99. Sierpinski Triangle Fractal interpreted as Musical Notes. The Triforce has a little more meaning. Produce an ASCII representation of a Sierpinski triangle of order N. Fractals. Pick any number inside Pascal’s triangle and look at the six numbers around it (that form alternating petals in the flowers drawn above). Start with a single large triangle. It uses three different colors to draw it - white for triangles' border, brown for background and red for inner triangles. In other words, if you take three copies, A, B, and C of the original triangle and you:. Though the Sierpinski triangle looks complex, it can be generated with a short recursive function. Hate to burst the bubble but he’s following rules. "Write an algorithm and a Python implementation to draw a Sierpinski triangle. draw (screen) #adding the triangle to the array Triangle. Create your own Sierpinski Triangle: 1. Fibonacci pattern, black and white triangle checkered circle, formed by arcs, arranged in spiral form, crossed by circles, creating bend triangles, like the geometrical arrangement of sunflower seeds. According to Wikipedia it was named after "mathematician Waclaw Sierpinski who described it in 1915. Start with a single large triangle. Right now, it will always call it and therefore you get the stack overflow. However, the equations can be simplified into rational. The 3D Printed Sierpinski Pyramid. <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. Sierpinski. (This is pictured below. The recursion should stop when n is 0. 7 (3) 2. He also invented many popular fractals, including the Sierpinski triangle, the Sierpinski carpet and the Sierpinski curve. Sierpiński Sieve. Task. The recursive structure. ; Sierpinski carpetSierpiński curve ("Sierpinski's square snowflake") of first order: Sierpiński curves of orders 1 and 2: Sierpiński curves of orders 1 to 3:. This video shows six different methods of creating the Sierpiński triangle including removing triangles, the chaos game, Pascal's triangle mod 2, the bitwise. Tags Level 7 Sierpinski Fractal Pyramid (Vase Mode) add to list. y is passed to drawTriangle() but the function doesn't use it. 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,. Recursive graphics: The Sierpinski Triangle. Like the Sierpinski triangle, the Barnsley fern shows how graphically beautiful structures can be built from repetitive uses of mathematical formulas with computers. I am hoping to get the fractal image of the Sierpinski Triangle (link below) What are the. Sierpinski Triangle, Poster. The area remaining after each iteration is 3/4 of the area from the previous. Pick one of the vertices on the triangle and define that vertex as "pointing up" (this helps when describing the fractal without pictures). A much easier approach is to start with a triangle and draw another triangle upside down inside it. To review, open the file in an editor that reveals hidden Unicode characters. Click on a date/time to view the file as it appeared at that time. Close. T-shirts, posters, stickers, home decor, and more, designed and sold by independent artists around the world. The base state for this fractal is a single triangle. it is a mathematically generated pattern that is reproducible at any magnification or reduction. 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. The calculation of the box-counting dimension for a Sierpinski triangle can be found in [10] and gives the result d = ln3/ln2. In that case replace drawPolygon with fillPolygon and the triangles will be filled in. Zelda half sleeve done by Mitch Pivarski @ Broken Arrow Tattoo, Cleveland OH. fractal sierpinski-triangle fractal-geometry. An IFS and an Sierpinski Triangle also called as Sierpiński Gasket or Sierpiński Sieve is a fractal with a shape of an equilateral triangle. The more times you repeat this loop, the. I finally finished my Sierpinski Triangle Quilt! and then I gave it away. Reverted to version as of 18:15, 17 March 2008 (UTC) Reason: aspect ratio change. (Source: IFJ PAN) Credit: IFJ PAN One transistor can become an oscillator with a surprising richness of behavior. 1 Answer. 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. The Sierpinski triangle illustrates a three-way recursive algorithm. Start with an equilateral triangle. 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. The triangle is subdivided indefinitely into smaller equilateral triangles resembling exactly the original triangle. Drawing a Sierpinski triangle by hand. The concept of the Sierpinski triangle is very simple: Take. height = function. Our goal is to produce 3D rotating Sierpinski Pyramids using JavaScript and WebGL. the Sierpenski triangle: This pattern depends critically on our initial conditions. g. The Sierpinski Triangle (according to wikipedia) is a fractal in the shape equilateral triangle, containing other replicated triangles within it. e. One of our problems was to create a Sierpinski triangle in stage 1,2, and 3 and find the total area of. Discover (and save!) your own Pins on PinterestApr 13, 2022 - This Pin was discovered by Wendy Thacker. Here's the most concise way I was able to come up with. Sierpinski by Kathryn Chan - The Sierpinski triangle is a fractal with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Triângulo de Sierpinski. Enhance your understanding of Data Structures and Algorithms with this completed assignment from my time at NYP, first year second semester. The Sierpiński triangle is a modified version where a. Source code: Learn graph theory algorithms: Learn dynamic prog. The Sierpinski triangle may be constructed from an equilateral triangle by repeated removal of triangular subsets: Start with an equilateral triangle. It is subdivided recursively into smaller equilateral triangles. Use the Sierpinski 1 macro to create a first iteration Sierpinski Triangle. 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. 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. An illustration of M4, the sponge after four iterations of the construction process. Sag Harbor Math Adventure. For a real Sierpinski triangle, this process must be repeated forever, so that there are infinitely many triangles that are infinitesimally small. Sierpinski gaskets and Menger sponges, Paul Bourke. Example. sierpinski-triangle. An explicit formula for the intrinsic metric on the classical Sierpinski Gasket via code representation of its points is given. This essentially simulates the recursion iteratively. Start with a single large triangle. As example I use the Sierpinski Triangle (Sierpinski Curve). 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. The Sierpinski triangle of order 4 should look like this: Related tasks. The Tile Assembly Model is a Turing universal model that Winfree introduced in order to study the nanoscale self-assembly of complex DNA crystals. Size of this PNG preview of this SVG file: 680 × 111 pixels. Randomly select any one of the three triangle points. This should split your triangle into four smaller triangles, one in the center and three around the outside. Sierpiński Triangle - a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Tattoo Styles. Repeat step 2 for each of the remaining smaller triangles forever. Draw a new triangle by connecting the midpoints of the three sides of your original triangle. 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. The Sierpinski triangle of order 4 should look like this: Related tasks. 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). The yellow area, if inverted, would become the triangle again.