![]() ![]() Cut out a semi-circle and rotate it counter-clockwise.ĥ. Cut-out a semi-circle and rotate it counter-clockwise.Ĥ. It is also possible to rotate the cut off piece to create a rotational tessellation. The rotation operation can be applied to all polyiamonds which do not possess circular symmetry, for example. Cut out a semi-circle and rotate it counter-clockwise.ģ. Rotation - rotating the polyiamond in the plane. Cut out an equilateral triangle from a piece of paper.Ģ. A glide reflection as well as a translation on a parallelogram. You simply draw a shape or a pattern of shapes and repeat them without changing their orientation and without leaving any gaps or overlaps.Ĭomplex tessellations use more than one of the three basic operations to create a new shape that can tessellate – ie can be fit together without any gaps or overlaps.ġ. A 180 rotation and another to 60 on an equilateral triangle: turning birds tessellation. Simple tessellations just use the translation operation. Rotate your second pattern 90 degrees around P, and draw it on. In the previous section, we have learned that some shapes can reflect by flipping them over. Then, we can conclude that the square tile has a rotational symmetry of 90. When it is turned 90, you can see the tile in its original place as if it has never moved at all. ![]() If a reflection has been done correctly, you can draw an imaginary line right through the middle and the two parts will be symmetrical “mirror” images. Let P be the vertex diagonally opposite of that one around which you rotated your first pattern. We have a square tile on the floor, and we rotate it around its center. Reflection is flipping an object across a line without changing its size or shape. Rotation is rotating an object about a fixed point without changing its size or shape. ![]() Translation is sliding a figure in any direction without changing its size, shape or orientation. Tessellations can be created by performing one or more of three basic operations on a shape: translation, reflection and/or rotation. Want to make your very own tessellations? ![]()
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