1. Ch. 6 Geometry Lab 6-9b Tessellations Lab 6-9b Tessellations

2. Tessellate is from the Latin phrase meaning “to tile”. Tessellations cover the plane completely without any gaps or overlaps.

3. Tessellations A tessellation is made up of copies of the same shape or shapes that will fit together. The sum of the angle measures where the vertices meet in a tessellation must equal 360º.

4. Tessellations Only 3 regular polygons will tessellate the plane. Squares, Equilateral triangles, and hexagons.

5. Tessellations Other polygons can tessellate in combinations. There are 18 semi- regular tessellations.

6. Lab 6-9b In this lab you will explore how to make an Escher-type tessellation. Step 1: Cut out a square Step 2: Draw a triangle inside the top of the square starting at the left vertex. (Do not go more than halfway down the square.)

7. Lab 6-9b Step 3: Cut out the triangle and carefully SLIDE the triangle to the bottom of the square. Tape the triangle in place without any gaps or overlaps

8. Lab 6-9b Step 4: Draw a small semi-circle on the left side of the square somewhat in the middle. Step 5: Cut the semi- circle out and carefully SLIDE it to the right side of the square. Make sure to keep the distances from top & bottom the same.

9. Lab 6-9b Step 6: You have now created your pattern piece. Trace this pattern onto a sheet of blank paper. Step 7: Keep sliding the pattern over & down to make a tessellation. Step 8: Continue until you have the entire page covered.

10. Lab 6-9b Step 1: Cut out an equilateral triangle. Step 2: Draw a right triangle coming down from the top vertex to the left side. (Do not go more than halfway down.)

11. Lab 6-9b Step 3: Cut out the right triangle and carefully TURN it so the the right triangle is on the right side. Tape the triangle in place without any gaps or overlaps

12. Lab 6-9b You now have your pattern unit. Trace this pattern onto a sheet of paper. Rotate the pattern to create a tessellation. Fit together at least 12 of these pattern units.

13. Homework P. 304 & 305 create patterns a-f Tessellate at least 1/2 page of each pattern The straight arrows are for slides The curved arrows are for turns. You will have to TURN the pattern to make it tessellate.