Fold to Cube?

Download PDF
2 downloads 285 Views 909KB Size Report
Comment
Shape Transformers: Forms That Fold Two Ways. Joseph O'Rourke. PAGE: 2. 1. 1. 4. 7. 7. 2. 2. 3. 5. 5. 8. 6. 6. 1 momath.
PAGE: 1 momath.org

Shape Transformers: Forms That Fold Two Ways Joseph O’Rourke

Fold to Cube? Fold to Cube?

PAGE: 2 momath.org

Shape Transformers: Forms That Fold Two Ways

1

5

1

4

6

2

8

7

3

7

2

6

1

5

Joseph O’Rourke

PAGE: 3 momath.org

Shape Transformers: Forms That Fold Two Ways Joseph O’Rourke

PAGE: 4 momath.org

Shape Transformers: Forms That Fold Two Ways

1

x

1

2

2

3

3

4

4

5

y

5

Joseph O’Rourke

PAGE: 5

Shape Transformers: Forms That Fold Two Ways

10

9

y

Joseph O’Rourke

10

momath.org

9 7

5 1

x

2

1

3

2

6

4

7

5

6

8

4 3

Iocsahedron to parallelogram

8

Icosahedron to parallelogram

PAGE: 6 momath.org

Shape Transformers: Forms That Fold Two Ways Joseph O’Rourke

4

Tetrahedron

5

3 3

6 6

2 5

1 4

1

2

7 7

P4: Tetrahedron

PAGE: 7 momath.org

Shape Transformers: Forms That Fold Two Ways Joseph O’Rourke

Heptahedron?

5

3 4

5 4

3 2

2 6

1

7

1

8 6 8

7

PAGE: 8 momath.org

Shape Transformers: Forms That Fold Two Ways Joseph O’Rourke

b

a

c

PAGE: 9 momath.org

Shape Transformers: Forms That Fold Two Ways Joseph O’Rourke

Cut along the dotted line to create an 8.5” x 8.5” square to use for folding.

PAGE: 10 momath.org

Koichi Hirata

2

3

1/2

1

1/4

1/2

3 − 1/2

Joseph O’Rourke

Koichi Hirata

Shape Transformers: Forms That Fold Two Ways

PAGE: 11 momath.org

Racetrack Joseph O’Rourke

Shape Transformers: Forms That Fold Two Ways

Racetrack

PAGE: 12 momath.org

Racetrack Joseph O’Rourke

Shape Transformers: Forms That Fold Two Ways

Racetrack