![]() ![]() What kind of tessellations can you make out of regular polygons This interactive is optimized for your desktop and tablet. Cut out a semi-circle and rotate it counter-clockwise.ĥ. Students will examine and create different patterns of shapes, including tessellations (patterns that fill the entire plane), and complex designs that. A tessellation is a repeating pattern of polygons that covers a plane with no gaps or overlaps. + all rotation centers lie on reflection axes. Cut-out a semi-circle and rotate it counter-clockwise.Ĥ. The various planar patterns can by classified by the transformation groups that leave them invariant. Cut out a semi-circle and rotate it counter-clockwise.ģ. In this activity students learn about using rotation to create a tessellating pattern. ![]() Cut out an equilateral triangle from a piece of paper.Ģ. This session explores learning to create a base pattern for a tessellation that has rotation (and translation). ![]() 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. Simple tessellations just use the translation operation. turning (rotating), or by flipping over (reflecting) the pattern to a new. 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. Escher used tessellation to create enchanting patterns of. 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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