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Modular Origami Cube
Modular Origami Cube
Making a Cube
Making a Cube
Questions for discussion:
Questions for discussion:
Quadrilateral Flow Chart
Quadrilateral Flow Chart
Step 1. Fold the square in half along the horizontal line of symmetry
Step 1. Fold the square in half along the horizontal line of symmetry
Questions for discussion:
Questions for discussion:
Step 2. Fold the square in half along its vertical line of symmetry
Step 2. Fold the square in half along its vertical line of symmetry
Questions for discussion:
Questions for discussion:
Step 3. Fold the top edge to the horizontal line of symmetry (the
Step 3. Fold the top edge to the horizontal line of symmetry (the
Step 4. Fold the bottom edge to the horizontal line of symmetry (the
Step 4. Fold the bottom edge to the horizontal line of symmetry (the
Step 5. Unfold the square
Step 5. Unfold the square
Step 6. Leaving the two corners folded down from step 5, fold the top
Step 6. Leaving the two corners folded down from step 5, fold the top
Step 7. Fold the top left hand corner down to the middle of the bottom
Step 7. Fold the top left hand corner down to the middle of the bottom
Step 8. Fold the lower right hand corner up to the middle of the top
Step 8. Fold the lower right hand corner up to the middle of the top
Questions for discussion:
Questions for discussion:
Step 9. Open the parallelogram and tuck in the triangles formed from
Step 9. Open the parallelogram and tuck in the triangles formed from
Step 10
Step 10
Questions for discussion:
Questions for discussion:
Step 12
Step 12
Assembling the Cube Each parallelogram now has a side that has a
Assembling the Cube Each parallelogram now has a side that has a
Each quadrant has an open edge, or pocket
Each quadrant has an open edge, or pocket
To form the cube, insert each flap (acute angle) of one parallelogram
To form the cube, insert each flap (acute angle) of one parallelogram

Презентация: «Modular Origami Cube». Автор: kmf. Файл: «Modular Origami Cube.ppt». Размер zip-архива: 937 КБ.

Modular Origami Cube

содержание презентации «Modular Origami Cube.ppt»
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1 Modular Origami Cube

Modular Origami Cube

2 Making a Cube

Making a Cube

You will need 6 squares of paper. You will need at least 3 different colors of squares (e.g., 2 red squares, 2 yellow squares, and 2 blue squares).

3 Questions for discussion:

Questions for discussion:

What are the properties of a square? Is a square a special rectangle? Is a square a special parallelogram? Is a square a special rhombus? Is a square a quadrilateral?

4 Quadrilateral Flow Chart

Quadrilateral Flow Chart

QUADRILATERALS

Trapezoid

Parallelogram

Kite

Rectangle

Rhombus

Isosceles Trapezoid

Square

5 Step 1. Fold the square in half along the horizontal line of symmetry

Step 1. Fold the square in half along the horizontal line of symmetry

6 Questions for discussion:

Questions for discussion:

What shape is created? What are its properties?

7 Step 2. Fold the square in half along its vertical line of symmetry

Step 2. Fold the square in half along its vertical line of symmetry

8 Questions for discussion:

Questions for discussion:

What shape is created? Is this shape congruent to the one created in the previous step? How do you know?

9 Step 3. Fold the top edge to the horizontal line of symmetry (the

Step 3. Fold the top edge to the horizontal line of symmetry (the

horizontal center fold line).

10 Step 4. Fold the bottom edge to the horizontal line of symmetry (the

Step 4. Fold the bottom edge to the horizontal line of symmetry (the

horizontal center fold line).

11 Step 5. Unfold the square

Step 5. Unfold the square

Make sure the square is oriented so that the fold lines are horizontal. Fold the top right corner down to the first horizontal fold line, and fold the lower left corner up to the third horizontal fold line.

12 Step 6. Leaving the two corners folded down from step 5, fold the top

Step 6. Leaving the two corners folded down from step 5, fold the top

and bottom edges to the center horizontal line of symmetry.

13 Step 7. Fold the top left hand corner down to the middle of the bottom

Step 7. Fold the top left hand corner down to the middle of the bottom

edge.

14 Step 8. Fold the lower right hand corner up to the middle of the top

Step 8. Fold the lower right hand corner up to the middle of the top

edge.

15 Questions for discussion:

Questions for discussion:

What shape is created? What are its properties?

16 Step 9. Open the parallelogram and tuck in the triangles formed from

Step 9. Open the parallelogram and tuck in the triangles formed from

steps 7 and 8 under the “dog-eared” flaps.

17 Step 10

Step 10

Flip the parallelogram over and fold the acute angles to the adjacent obtuse angles.

18 Questions for discussion:

Questions for discussion:

What shape is created? What are its properties?

19 Step 12

Step 12

Repeat steps 1-10 on the remaining 5 squares.

20 Assembling the Cube Each parallelogram now has a side that has a

Assembling the Cube Each parallelogram now has a side that has a

square in the center composed of four quadrants.

21 Each quadrant has an open edge, or pocket

Each quadrant has an open edge, or pocket

Two of the pockets have a single-layered edge and the other two pockets have a folded, or double-layered edge.

22 To form the cube, insert each flap (acute angle) of one parallelogram

To form the cube, insert each flap (acute angle) of one parallelogram

into the single-layered pocket of another parallelogram.

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