Geometry Origami - Penguin

What shape do we begin with?

Geometry Origami - Penguin

Fold along the diagonal so that the white side is showing.

What shape do we have now?

Geometry Origami - Penguin

Rotate the triangle so that the right angle is on the bottom left.

Geometry Origami - Penguin

Put a dot on the bottom edge, about 1 cm to the right of the right angle.

Geometry Origami - Penguin

Fold the 45° angle which is to the right of this dot over so that it meets the dot.

Geometry Origami - Penguin

What shapes do you see?

Geometry Origami - Penguin

Unfold. Look closely at your fold lines.

Do you see 2 squares with a diagonal going through both of them?

Geometry Origami - Penguin

Look at the diagonal in the small square. Right now, this fold line is a “mountain”, because it

sticks up toward you.

Fold just this part of the diagonal in the opposite direction. It will become a “valley” because it will

be folded down, away from you.

Geometry Origami - PenguinNow that our mountain has become a valley, we’re going to fold back

into our trapezoid shape. Fold the small valley and tuck the small square inside the original trapezoid shape.

Pinch the valley

together.

Geometry Origami - Penguin

Tuck the small square inside the trapezoid.

Geometry Origami - Penguin

Now we’re back to our trapezoid. This time, the triangle is on the inside, not the outside.

Before After

Geometry Origami - Penguin

At the right angle, pick up 1 layer and fold it over to the short side so that it makes a triangle. Your triangle should reach almost to the end

of the long side of the trapezoid, but not all the way.

What kind of triangle do you have? How do

you know?

Geometry Origami - Penguin

Flip the paper over and repeat.

Geometry Origami - Penguin

Fold the top over to the right to form the penguin’s head.

Geometry Origami - Penguin

Gently unfold your paper until you get to this shape.

Geometry Origami - Penguin

Look at the red line. Right now, this is a mountain fold. Fold in the opposite direction and turn just

this part into a valley fold.

Geometry Origami - Penguin

Gently fold back together. Your new valley fold should allow the penguin’s beak to turn inside out,

so that it is all black.

Geometry Origami - Penguin

Congratulations! You did it!