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• Antonio Chavez Armas

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RoBeRT J . LAng

Born and raised in Atlanta, Georgia, Robert J. Lang worked as a physicist and engineer before becoming an origami artist full time.

Yellow Jacket

Dr. Lang is one of the pioneers of the cross-disciplinary marriage of origami with mathematics. He is consulted on applications of origami to issues in engineering while being noted for origami designs of great detail and realism. His work has been shown worldwide, from the Museum of Modern Art in New York to the Nippon Museum of Origami in Japan. Dr. Lang lectures widely on origami and its connection to the world of science and teaches workshops on both artistic techniques and applications of folding in industrial design. A Fellow of the Optical Society of America, a member of the IEEE Photonics Society, and a past Editor-in-Chief of the IEEE Journal of Quantum Electronics, he was recently selected as one of the inaugural Fellows of the American Mathematical Society. He is the author or coauthor of 14 books and numerous articles on origami. He currently resides in Alamo, California.

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For best results, I recommend d folding this from a sheet of size paper (as thin as you can find), ideally 40 cm or larger (the photographed piece was from a 40 cm (16 inches) square). er You should start with dry pap nt poi the and fold it dry up to that it starts to become 3D. At that point, I recommend using a small paintbrush and a dish of water to selectively dampen ., legs, wings, body segments, etc let to aks bre for shaping, taking one part dry before moving on to the next.

YeLLoW JAcKeT 2

3

Bring the bottom right corner to the crease line, creating a pinch mark by the edge.

5

Fold the paper in half and unfold.

4

Fold the bottom corner to the pinch mark.

6

Unfold.

1

Fold raw edge to folded edge. Unfold.

7

Fold the edge to the crease. Unfold.

Fold the folded edge to the crease. Unfold.

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8

9

Fold the edge to the crease. Unfold.

11

Fold edge to edge. Unfold.

12

Turn over.

14

Unfold.

13

Fold corner to corner, creating a small pinch only where indicated (on the third and fourth creases).

15

Fold edges to the creases. Unfold.

164

10

Fold to the intersection points shown. Unfold.

16

Fold edges to the creases. Unfold.

Crease as indicated. Note: unnecessary pinch marks are not shown for clarity.

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17

18

Crease as indicated.

19

Crease as indicated.

20

Crease as indicated.

Turn over.

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21

22

Crease the diagonals as indicated.

Repeat next steps on this corner too.

Next, details of the creases needed for the corner. Note: steps 23 to 27 should be repeated on the right corner and side.

23

24 12 12

12 12

10 10

10 10

8 8

8 8

6 6

6 6

4 4

4 4

2 2

2 2 2 2

4 4

6 6

8 8

10 10

12 12

14 14

16 16

Crease as indicated. Note: the numbers represent the 1/56th divisions for reference.

166

2 2

4 4

6 6

8 8

10 10

12 12

14 14

16 16

Mountain crease as indicated.

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16

25

26

12

12

12

14 12 10 8 16 14 12 10

6 8

4 6

2 4

2

12

10

10 10

10

8

8 8

8

6

6 6

6

4

4 4

4

2

2 2

2 2

4 2

6 4

8 6

10 12 14 16 8 10 12 14 16

Fold crease to crease (creases created in the previous step). Turn over.

27

Continue creasing as indicated on the left side. Additional diagonal creases need to be created. Th e vertical and horizontal creases need to be reinforced or extended. All creases indicated will be needed for the base or for later steps, including the ones marked in a fainter color. Unnecessary creases are not shown for clarity.

Crease as indicated. Turn back over to the white side.

28

Aft er creasing the right side, follow the creases indicated for the initial collapse. Th is is a one indivisible big honkin’ collapse and it needs to be done all at once.

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29

Top view

Collapse the top of the base using the creases shown. Some of the necessary creases are not visible in this drawing; the next drawing shows all of the creases needed on unfolded paper.

Creases used for this step, shown on unfolded paper for clarity.

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30

Top view

Refi ne the collapse. Some of the necessary creases are not visible in this drawing; the next drawing shows all of the creases needed on unfolded paper. Crease as indicated in the highlighted region. Note that the region near the corner is part of a double layer. Turn over.

31

Cross-section view of the layers, before and after the reverse fold.

Creases used for this step, on an unfolded paper.

Th ere are two pairs of layers together in zigzag. Reverse fold one of each pair so it zigzags twice as much with half the width, using the creases indicated in the highlighted region. Turn over. Yellow Jacket

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32

Refi ne the collapse. Th e next drawing shows all of the creases needed on the unfolded paper. Crease as indicated in the highlighted region.

33

Creases used for this step, on an unfolded paper.

34 a.

b.

c.

Creases used for this step, on an unfolded paper.

Open the layers to work on the inside of the fl ap.

Asymmetrically spread sink three corners, then close them up.

35 View of the pleats from the side.

33–34

Repeat the spread sinks on the other side

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36

37

Th is is the complete collapsed base. Turn over.

39

38

Open out the two pleats and stretch.

40

The far sink connects to other folds at the tops.

Refold with the creases indicated.

41

Far corner is closed sink.

Near corner is open sink.

Bring layers to the front.

42

Sink four edges.

43

Fully Elias-stretch the pleats.

44

Refold the creases indicated. Stretch the top apart.

It will look like this. Open out to see the interior. Yellow Jacket

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45

You can’t actually open this part fully flat.

46

47 c.

b. a.

Like so. Reverse fold the fl aps that got the three spread sinks and divide the layers at the spread sinks.

Refold fl at on the creases indicated.

48

49

50

Fold through thick layers.

51

Slide an edge out in the sequence indicated: a, b, and c.

Tuck part of the wing corner underneath. Legs stick out perpendicularly

52

Fold the thick corners underneath.

53

Pleats from last step

Wings

Abdomen

Precrease the pleats indicated. Th e legs will become perpendicular. View from the side next.

172

Schematic view from the side.

Make 3D using the creases indicated. Th is will separate the segments. Note: wings omitted for clarity. Detailed view next.

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54

55

Gap

Segment

56

Cross section of segment Legs point down

Make a distinct gap between segments by reverse folding the corners.

57

Like this. From here forward, the body-shaping folds should be soft and not all extend fully to the corners to keep the body rounded and natural.

59

58

Legs

Schematic cross-section view of each segment (legs point down).

Wings

Abdomen

Schematic view from the side with 3D segments.

60

Narrow antennae.

Details of the head.

61

Rabbit-ear to make 3D.

Crimp antennae to the side.

62

63

Bend antennae.

Fold edges under.

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64

65

Fold tip under.

68

Fold entire assembly down at soft right angle. Crimp at base of antennae.

69

67

66

Legs Legs Legs Legs Legs

Curve and crimp. Side view of abdomen.

70

Legs Legs

71

It will look like this.

Schematic view from the side. Fold legs fl at.

Next, view from bottom.

Pinch legs, then fold out to the sides.

Legs

72

73

74

Reverse fold the toes (tarsae).

75

Finished leg. Continue shaping legs and position to match the photo.

Crimp. Detailed view of a typical leg next. 174

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Folded yellow jacket set against the crease pattern for the model. View from the underside

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