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Tessellation Project. What is a tessellation?. A tessellation is a pattern of repeating figures that fit together with NO overlapping or empty spaces . Tessellations are formed using transformation. Transformations: Translation** Rotation** Reflection** Dilation.
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What is a tessellation? • A tessellation is a pattern of repeating figures that fit together with NO overlapping or empty spaces. • Tessellations are formed using transformation. • Transformations: • Translation** • Rotation** • Reflection** • Dilation
More examples of Tessellation Artists • http://tessellations.org/index.htm
Project Directions • Start with a template piece • Must be a REGULAR polygon (squares work well) • Choose one of the following transformations • Translation • Glide Reflection (translation with reflection) • Rotation • Mid-point Rotation • Practice with template on computer paper. • Trace your final product on to white card stock (9x12). • Color and decorate • Mount onto construction paper
Translation Tessellation (EASY) For simple translation tessellations, your starting polygon should have opposite sides that are parallel and congruent. Squares, hexagons, and parallelograms work best.
Translation Tessellation (HARD) You can create more complex designs starting with square tessellations and making changes on both pairs of sides. 1. 2. 3. 4. Start with a square Draw a design on one side of the square and slide it to opposite side. Draw another design on the adjacent side of the square and slide it to opposite side. Tape the cutout pieces to opposite sides. Slide (translation) the pattern when tracing.
Depending how you decide to color your tessellation, a very simple design can have a very creative result.
Glide Reflection Tessellation For glide reflection tessellations, your polygons should have opposite sides that are parallel and congruent. Squares, hexagons, and parallelograms work best. *You can make this one more difficult by cutting out two pieces from different sides and doing a glide reflection for both.
Rotation Tessellation For rotation tessellations, the adjacent sides of the polygon must be congruent. Squares, equilateral triangles, regular hexagons, and rhombi work best. *You can make this one more difficult by cutting out two pieces from different sides and doing a rotation tessellation for both.
Midpoint Rotation Tessellations • Triangles, squares, and quadrilaterals work best for this type. *You can make this one more difficult by cutting out two pieces from different sides and doing a mid-point rotation for both.
