Investigating Geometry: Selected Topics

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May 2006

Lesson 11-4: Tessellations


Objective:

Tessellations and tiling problems will be used to make connections to art, construction, and nature.

 Applet Directions 1 Close 
  1. The figure is a tessellation of an irregular quadrilateral.

  2. Drag any of the red points to change the figure.

  3. How do the green quadrilaterals relate to the blue quadrilaterals?

  Hands-On Activities Close 
  1. What is a tessellation? This site does an in-depth explanation of tessellationsand how they mathematically work. It is an excellent site to get background information.

  2. Tessellate! This site shows the what, how and why of tilings.

  Other Web Sites Close 
  1. The Geometer´s Sketchpad and Tessellations Step-by-step instructions for creating a tessellation in "Sketchpad" starting with a parallelogram.
  2. What are Tessellations? General information.
  3. How to make Tessellations Galleries
  4. Tessellation Animation Animated Tessellations, puzzels and pictorial directions for creating layered 3 dimentional tessellations.

 Puzzle & Problems tangram Close 
    Use these steps to make a tessellation based on a square ABCD.
  1. Connect points A and B with a curve. Rotate the curve 90° about A so that B coincides with D.
  2. Rotate the curve again 90° about D so that A coincides with C.
  3. Rotate the curve once more 90° about C so that D coincides with B.
  4. Use this figure to draw a tessellation.