PHIZZ Models (Pentagon-Hexagon-Zig-Zag Models)

Project taught by Dr. Eva Szillery at the Downtown Education Collaborative in Lewiston, ME.

The project was originally designed by: Thomas Hull

For more information: http://kahuna.merrimack.edu/~thull/phzig/phzig.html

The unit below can be used to create some very interesting three-dimensional models!

It takes 30 of this unit to create a "30 PHIZZ Unit Dodecahedron" as

shown below.

It takes 105 of this unit to make a Torus which can be viewed at:

http://sites.google.com/site/modularorigami3/torus

To make the unit itself, follow these directions:

Step 1: Fold the paper in half to create a mountain fold.

Step 2: Fold the top and bottom edges up to meet the middle fold.

Step 3: Position the paper as shown below.

Step 4: This is the top view. Notice that the "bottom" of the M opens to

the left.

Step 5: Fold the top right corner down as shown below.

Step 6: Rotate the paper 90 degrees so that it appears as it does below.

Step 7: Fold the top edge down to create the shape shown below.

Step 8: Fold the "tail" up to create a straight edge at the bottom of the

triangular piece, as shown below.

Step 9: Fold the "tail" in such a way that it creates an isosceles triangle

that is similar to the one at left, but half the size. You should also notice

the right trapezoid that is formed in this step.

Step 10: Turn the shape over as shown in the steps below.

Step 11: Now fold the square (seen at left in the previous picture) so that

it creates the final triangle. The finished unit should look like two overlapping

triangles as shown below.

Directions to assemble the "30 PHIZZ Unit Dodecahedron"

Please note that three different colors will be shown below in order

to make the assembly steps easier to see.

Step 1: Be sure all 30 of your pieces are identical to the three shown below.

Step 2: Unfold, and align the units as shown below.

Step 3: choose two units to start with, and line them up as shown below.

Step 4: Notice how the blue piece tucks into the fold of the yellow piece.

Step 5: Line up the third piece, shown below in green.

Step 6: Tuck the green piece into the blue piece as shown below.

Step 7: Then tuck the yellow piece into the green piece.

Continue attaching the pieces as you did to connect the first three.

As you connect the pieces you should notice that the vertices are created

by each three pieces that are assembled. You should also always have a

pentagon of "empty" space between the attached pieces.