Tessellations Worksheet (Page 2 of 4) in pdf

Tessellations Worksheet Page 2

Project AMP

Dr. Antonio Quesada – Director, Project AMP

Lab: Constructing Tessellations

Team Members’ Names ________________________________________________

File Name _______________________________________________

Investigate Using Cabri Geometry II

Tessellations are patterns that cover a plane with repeating figures so there is no gaps

or overlapping. A common example of a tessellation is tile floors. Tessellations can

be made up of a tiling of one or more figures. However, in this investigation only

monohedral tiling, or a tiling of only one figure, will be explored.

Goal 1: Construct regular polygon tessellations.

Create a regular triangle

[Use regular polygon tool.]

What is each interior angle measure? __________

2. Rotate the triangle around one vertex by the interior angle measure. Refer to

appendix to recall this procedure. Continue this process until you are able to

determine whether this polygon tessellates the plane. Remember: there should be

no gaps or overlapping.

[Use Numerical Edit, and Rotate tools.]

3. Repeat the directions in #2 for a regular quadrilateral, a regular pentagon, and a

regular hexagon.

4. Which of the regular polygons above tessellate?

__________________________________________________________________

5. Explain using angle measures the conditions required for a regular polygon to

tessellate.

__________________________________________________________________

Goal 2: Construct polygon tessellations.

1. Draw a scalene triangle.

a. Find the midpoint of each side.

[Use Midpoint tool.]

Tessellations Worksheet Page 2