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

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

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

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.

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

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

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.)

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

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.

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.

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.)

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

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.

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.