Tetraflexagon

Objective:

Students will create an artistic tetraflexagon.


Materials Necessary:


Outline of Activities:

1. Cut 3 sides of a 2 x 4 window from the center leaving the left side attached and uncut.  
2. Push the 2 x 4 section through the piece of paper away from you, folding it towards the left creasing the left edge that was left uncut. A 2 x 2 tab should extend left of the grid paper from the backside.

 

3. Fold the 2 x 2 tab from the back over the top towards the front, creasing the edge. You should have a 6 x 8 grid with a
2 x 4 open window.

 

4. Fold the right two columns towards the back, creasing on line 1. The grid is now 6 x 6 with a 2 x 2 open window.

 

5. Fold the right two columns again towards the back, creasing on line 2. The grid is now 4 x 6 with no open window.

 

6. Carefully tape the folded over tab from step 3 to the piece that closed the open window from step 5.

 

7. Make a design on each side of the tetraflexagon. Be creative and artistic when making your designs using colored pencils or crayons.

 

8. Flex from the center revealing side 3. Make a design on side 3.

 

 

9. Flex from the center revealing side 4. Make a design on side 4.

 

 


Method of Assessment:

Answer the following questions:

  1. What is the total surface area of a tetraflexagon? Why?
  2. What is the total volume of a tetraflexagon? Why?

The students will be asked to share their tetraflexagons with the class revealing 4 designs.


Extensions Above and Beyond:

Ask the instructor for directions on making hexaflexagon. Create an artistic working hexaflexagon.
View a Flexagon Animation on how one works at http://www.drking.worldonline.co.uk/hexagons/flexagons/simul.html

Alternative is to find some other type of flexagon to create. You may have to complete some research to find a model.

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