CPM Student Tutorials

CCA2 8.2.3: 3D Complex Plane Model

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1. Fold the paper in half perpendicular to the dotted line.

Fold the paper on the line marked bi and −bi. This is a “mountain” fold, so the printing is on the outside.

Fold the paper in half perpendicular to the dotted line.

2. Cut along the dotted line.

Note: When cutting you get both sides of the dotted line because it is folded!!

Cut along the dotted line.

3. Crease 2 valley folds.

Crease 2 valley folds.

4. Fold backward along the center line:

  • Hold the flaps perpendicular to the center line and push down.
  • This opens the cut along the dotted line.
  • Fold along the Center Line.
Fold backward along the center line:

5. The Emerging Model:

  • Position the model so that the equation is on the right side.
  • Close any gaps with tape.
  • The model will not "stand" well because the bottom is uneven.
The Emerging Model:

6. Cut the uneven edge off!

Cut the uneven edge off!

7. View Parabola.

  • The imaginary plane is almost invisible coming directly at you.
  • The parabola is visible!
View Parabola.

8. Turn the model to view the complex roots

Turn the model to view the complex roots
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