Tessellations POD: What is the measure of each interior angle of each regular polygon? Equilateral triangle Pentagon Hexagon Octagon.

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Presentation transcript:

Tessellations POD: What is the measure of each interior angle of each regular polygon? Equilateral triangle Pentagon Hexagon Octagon

Tessellations Tessellation – Regular tessellation A collection of figures that cover a plane with NO OVERLAPS. Regular tessellation A tessellation of congruent regular polygons

Examples Tessellation (Tiling) What are the shapes and how many different shapes or sizes are in each example.

Regular tessellations

Regular Tessellations There is only 3… Triangle Square Hexagons

Classify a tesselation Vertex – corner point This tessellation is a 6.6.6 three hexagons with 6 sides meet at the vertex.

Semi-regular Tesselations Tessellations that are made with two or more regular polygons. The pattern at each vertex must be the same. 3.3.3.3.6 3.3.4.3.4 3.4.6.4

Making a Tessellation 1. Make and cut a regular triangle. 2. Cut a piece from the triangle. 3. Slide the piece to another side and tape it securely. 4. Translate and reflect the figure to make a tessellation.

Many different examples…

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Chapter 9 Project Page 610 Project is due Friday, February 13. You may choose between #6, 7, or 8. #9 Project is due Friday, February 13. Your project will be graded upon: 1. Neatness and following directions 2. Creativity.