12/2/2023 0 Comments Draw a tessellation![]() ![]() Finally, color your design with markers, colored pencils or crayons. (Remember that whatever details you add to one shape, will need to be added to EVERY shape! Keep your details simple.)ĩ. Trace over your pencil lines with a Sharpie and add details to each shape to help others recognize what you “saw” in it. Repeat this step until your whole paper is covered and there are no gaps or spaces.Ĩ. There shouldn’t be any gaps or overlapping. Now, pick up your tile and place it next to your traced design, as if it were a piece fitting into a jigsaw puzzle. (I use 12″x18″ paper when I do this with 6th graders.)Ħ. Identify and create geometric tessellation patterns (also known as tiling) with these printable worksheets and activities. Place your tile on the center of a 9″x12″ paper and carefully trace around it. Lightly sketch your idea onto your tile…. or you can divide 360 degrees by 6 and get 60. (Basically draw the same shape and label each point 60 degrees and show how 60 degrees times 6 equals 360. Choose the number of sides, from 3 (Triangles) to 12 (Dodecagons). A brick wall and tiled floors are two examples of everyday tessellations that dont extend indefinitely. You can draw regular polygons using the polygon tool. ![]() Turn your newly created shape (we’ll call this your “tile”) in different directions and use your imagination to see if it “looks like” anything. A tessellation a repeated pattern that uses shapes to create the wanted image. (For older students, you can make this project more challenging by having them repeat this step on an adjacent side of their card, as in the sample project above.)Ĥ. If you include a corner in your cut, it makes it easier to line the shape up on the opposite side. Now, tape the shape so that it is exactly across from the spot you cut it from. (The lines on your index card will show you if you’ve flipped or turned it!)ģ. Next, cut a shape from one side of your 3″x3′ card, and slide it to the opposite side of the card, without flipping it over or turning it. Polygon – a shape with three or more sidesĢ. ![]() Tessellation – a pattern made with polygons that completely fills a space with no gaps, spaces or overlaps. Draw the outline of the heart tessellation as shown and fill the paper. Escher – a Dutch artist (1898-1972) who is best known for his mathematically inspired drawings and prints which displayed great realism, while at the same time showing impossible perspective, eye trickery and metamorphosis. Turtle.goto(OUTER_RADIUS / 4, -3 * INNER_RADIUS / 2) Turtle.goto(-OUTER_RADIUS / 2, -2 * INNER_RADIUS / 2) Turtle.goto(OUTER_RADIUS / 4, -1 * INNER_RADIUS / 2) Keeping our initial code the same: screen = Screen() (Increase the depth argument to fill the window.) The tessellation you really want is four (not thirds) of these patterns overlaid atop each other. Turtle.goto(-OUTER_RADIUS / 2, -INNER_RADIUS) Rt_row_2(x-size/2,y+size*math.sqrt(3)/2,size,800//(size*3))įirst, let's simplify your three turtle, three function hexagonal tessellation to a single turtle, single recursive function solution: from turtle import Screen, Turtle Here is code: def draw_rhombus(x,y,degree,size,tilt,color):įor i in range(800//int(round(size*math.sqrt(3)))): After that it is repetition of the first and second row. The figure contains three different rhombus shapes (they are the same rhombus in different orientation). To be able to fill each rhombus, it needs to be drawn individually. I would draw based the rhombus shape because it will allow you to fill them with different colors. However, when I loop the program, the turtles trace back the same path as before and it takes a while for it to draw the others. So far, I created 3 hexagons in the center with 3 turtles and used for loops to draw the hexagons around the 3 hexagons. So far, I'm only alternating the angles of the turtles as I run the program and I don't have a definite strategy. I'm not sure how I can create the hexagon pattern recursively. I thought about creating a hexagon pattern first and then dividing the hexagons into thirds. I'm trying to create a rhombus tessellation pattern with the turtle graphics on python that looks like this image: ![]()
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