System Stalker Lab: Folding by Trimira Garach

MONA (MENG YI) DAI 20378644

TRIMIRA GARACH 20379218

ARCH 393 PHASE 1 / 07.10. 2013

SYSTEM STALKER LAB: FOLDING ORIGAMI PAPER CRANE

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

step 2

step 3

step 1 AX I C (200,200)

M M 1

Markers:

C (200,200)

C (200,200) A (200,200)

Data Collection

TRIMIRA GARACH 20379218

M M

1. Fold axis points 3. Corners of paper

LD FO

225˚ 45˚ 0˚

LD FO

2. Fold end point

315˚ 0˚

A (200,0)

4. Angle of fold rotation 14

5. Distance from paper edge to crease

315˚ 0˚

*View of markers without background render has been omitted from this set. x

step 5

step 4

B (200,0) D (200,0)

I AX

B (200,0) D (200,0)

I AX

B (200,0) D (200,0)

A (0,0)

step 6 y

A (200,0) B (200,0) D (200,0)

A (200,0) B (200,0) C (200,0) D (200,0)

C (200,200)

AXIS

AX I

FOLD

315˚ 0˚ 0˚

AXIS

C (200,200)

0˚ 315˚

FOLD

1 14

FOLD

0˚ 0˚ 315˚

AXIS

M 1 14

M M

AXIS

A (200,0) B (200,0) D (200,0)

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

step 8

step 9

IS AX

0˚

1. Fold axis points

FOL

0˚

FOL

45˚ 337˚

2. Fold end point

A (200,0) B (200,0) D (200,0)

A (200,0) B (200,0) C (200,0) D (200,0) 0˚

45˚

FOL

337˚

113˚

I AX

A (200,0) B (200,0) C (200,0) D (200,0)

Markers:

76 M

M M

step 7 M 76 M

338˚

0˚

225˚ 292˚

FOL

225˚

AX I

5. Distance from paper edge to crease

0˚

225˚ 292˚

292˚

4. Angle of fold rotation

FOL

3. Corners of paper

FOL

Data Collection

TRIMIRA GARACH 20379218

*View of markers without background

157˚

C (58,141)

render has been omitted from this set.

step 11

C (58,141) A (58,141) S

FOL

292˚ 0˚ 76

FOL

C (58,141) A (58,141)

C (58,141)

FOL

step 12

AX I

step 10

0˚ 56˚

0˚ 68˚ 136˚ 203˚

0˚ 34˚

FOL

0˚

0˚ 22˚

FO L

338˚

248˚ 315˚

I AX

S y

B (200,0) D (200,0)

IS AX

B (200,0) D (200,0)

I AX

A (200,0) B (200,0) D (200,0)

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Data Collection

TRIMIRA GARACH 20379218

step 13

step 14

step 15

I AX

B (200,0) D (200,0) D (71,154)

Markers: 1. Fold axis points

2. Fold end point

34˚ 0˚

3. Corners of paper

C (58,141) A (58,141)

D (71,154)

B (46,129) IS AX 225˚ 0˚

56˚ 0˚

I AX

225˚ 0˚

4. Angle of fold rotation

C (58,141) A (58,141)

*View of markers without background

5. Distance from paper edge to crease render has been omitted from this set.

B (200,0) y

step 16

step 17

C (58,141) A (58,141)

38 M

M D (71,154)

D (108,144)

75˚

B (46,129)

collapsed markers

0˚

225˚ 0˚

B (200,0)

I AX

XIS 231˚ A 37˚ 0˚ C (58,141) A (58,141)

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane Tracked Fold Step Part of Active Number Step Point 1 2 3 4

5 6

12 13 14

16 17

Analysis

Time Time Elapsed (s)

1A B C 1A B C 1A B C 1A B C 1A B C 1A B 2A B 1A B C 1A B 1A B 1A B 2A B C 1A B 2A B C 1A B C D

Fold Start Point (x,y,z)

x Min 0 Max 200 Range 200 Avg. 120.8444

Fold End Point (x,y,z)

Fold Descriptors Crease to Paper Movement Fold Axis Start x Edge Dist. (mm) Arc Angle

Fold Volume Volume Surface Area (mm3) (mm2)

Four Corners of Paper Point A Point B x y x

Point C x

200 200 200 200

0 0 0 0

200 200 200 200

0 0

200 200

0 0

200

5407247

200

23225.89

5407247

200

325212

23225.89

5407247

100 41 158 100

656145

51505.69

86 77 124 115 86 77 124 115 58 141

32273

Fold Axis y End x

Cumulative Volume (mm3)

Point D x

200 200 200 200

0 0 0 0

100 200

100 0

200 200

0 0

200

141

200

141

200

5407247

141

200

141

200

15538.94

5407247

141

200

141

200

32308

15538.94

5407247

141

200

141

200

253390

39243.64

5420215

141

200

141

200

253390

39243.64

5433183

141

129

141

154

807 218230

1129.63 43675.63

5433183 5433183

58 123

141 77

46 35

129 111

58 123

141 77

108 127

144 147

3 8 9 12 12.25 12.5 14 20 20.25 20.5 22 27 30 31 32

0 200 200 100 49 51 200 100 151 49 99 199 99 129 130

200 0 200 100 51 49 200 100 49 151 1 99 99 69 70

0 0 6 141 70 70 0 -‐141 -‐70 70 -‐2 -‐2 -‐3 -‐6 -‐6

200 200 100 200 0 99 100 200 99 199 129 130 159 99 199

0 200 100 0 99 0 100 0 1 99 69 70 42 1 99

0 6 141 0 0 2 -‐141 0 -‐2 -‐2 -‐6 -‐6 -‐7.7 -‐2 -‐2

141 141 141 141 70.5 70.5 141 141 70.5 70.5 41.3 41.3 41.9 41.3 41.3

180 180 90 90 90 90 90 90 90 90 180 180 180 180 180

0 0 200 0 200 0 100 0 0 100

200 100 100 100 100

2947991 1447265 712018 517122

120539.03 90860.197 42993.44 90860.2

2947991 3814345 3814345 3814345

0 200 100 200

0 200 100 0

200 0 100 0 0 100

100 100 100 100 100 100

712018 517122

42993.44 33943.83

4554825 5407247

200 200

0 0

100 41 159 100

233058

33943.83

5407247

200 200

0 0

100 41 159 100

233058

51505.69

33 40 40.25 40.5 46 48 49 50 57 57.25 57.5 65 70 71 75 84 84 90 91 91 92 92 94 95 95 97 99 99 100 101

159 129 130 159 99 199 129 130 99 199 199 100 158 100 158 123 123 200 104 104 89 89 200 100 100 70 57 57 35 84

42 69 70 42 0.5 99 71 70 0.5 99 1 41 77 41 100 113 113 0 95 95 78 78 0 95 95 154 141 141 110 13

-‐7.7 -‐6 -‐6 -‐7.7 6 6 4 4 4 4 1 1 7 -‐2 -‐2 6 6 0 27 -‐27 13 -‐13 0 27 -‐27 0 2 -‐2 0 0

99 129 129 58 129 130 99 199 129 130 59 123 12 123 124 104 104 58 121 121 100 100 60 88 89 107 106 106 45 104

99 70 71 141 71 70 0.5 99 70 71 141 76 77 76 77 95 95 140 111 111 95 95 141 79 79 144 92 92 130 147

-‐3 -‐9 -‐4 -‐4 4 4 4 4 6 6 6 7 7 -‐8 -‐8 27 -‐27 0 14 -‐14 27 -‐27 0 14 -‐14 0 95 -‐95 0 0

41.9 41.3 41.3 100 41.3 41.3 41.3 41.3 41.3 41.3 100 38 38 38 38 27 27 100 27 27 27 27 100 27 27 25 64 64 76 100

180 160 160 180 180 180 180 180 180 180 180 180 180 180 180 90 90 180 60 60 90 90 180 60 60 90 90 90 15 15

159 100 200 0 200 0 200 0 200 0 200 0 200 0

100 100 158 58 100 158 58

656145

200 200

0 0

200 200 200 200 200

0 0 0 0 0

130

200

130

Fold Start Point (x,y,z) z

TRIMIRA GARACH 20379218

85 133 108 92

Fold End Point (x,y,z) Fold Descriptors Fold Volume Crease to Paper Movement Volume Surface Area x y z Edge Dist. (mm) Arc Angle (°) (mm3) (mm2)

0 -‐141 0 0 -‐141 200 141 200 200 141 200 282 200 200 282 79.6 3.213333 115.5111 83.01111 -‐0.171111

25 141 116 62.32

15 807 180 2947991 165 2947184 131.1111111 573385.4

1129.63 120539.03 119409.4 44703.97335

141

41 41 100 141 41 100 141

58 141 117

86 138 108 92

Four Corners of Paper Cumulative Volume (mm3) Point A x y Point B x

y Point C x

y Point D x

2947991 0 0 35 0 58 0 71 5433183 200 200 200 129 200 200 200 2485192 200 200 165 129 142 200 129 4936681.824 127.7059 71.94118 172.1765 21.70588 122.7647 123.8235 182.7059

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Analysis

TRIMIRA GARACH 20379218

step 1

step 2 (200,200,0)

AX IS

View 2:

step 3

1. Fold axis points 2. Fold end point The point of movement and the end points (100,100,141)

LD FO

of the crease axis form a cross-section that is revolved about an arc during the motion of the fold.

step 6 y

AXIS 1 (199,99,2)

FOLD

FO FOLD

(100,100,-141)

(99,1,-2)

(200,200,0)

FOLD

LD FOLD

AXIS 2 (2,99,-2)

AX I

step 5

AX I

LD FO

step 4

I AX

(200,0,0)

AXIS 1

(99,0,2)

I AX

AXIS 2

(200,200,0)

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

step 8 S AXI

(99,1,-2)

S AXI

AXI S2

step 9

AXI S

View 2:

step 7 AXI S

Analysis

TRIMIRA GARACH 20379218

AXI S4

1. Fold axis points (159,42,-7)

2. Fold end point

D FOL

FOL

(129,69,-6)

The point of movement and the end points

(129,70,-9)

(130,70,-6)

S AXI

FOL

the fold.

( 2,99,-2)

( 99,99,-3)

FOL D

revolved about an arc during the motion of

(129,71,-9)

FOL D

of the crease axis form a cross-section that is

S AXI

(159,42,-7.7)

FOL

step 10

step 11

step 12 y

FOL D

FOL

(59,141,6)

FOL D

FOL

2:(199,99,4)

AXI S

1:(129,71,4) 1:(130,70,4)

FOL

(123,77, 7) (122,76,7)

(130,71,6) (129,70,6)

FOL

S AXI

AXI S

AX IS

IS AX

AXI S

S AXI

2:(99,0.5,4)

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Analysis

step 13

step 15

step 14

L FO

View 2:

TRIMIRA GARACH 20379218

1. Fold axis points 2. Fold end point

of the crease axis form a cross-section that is

The point of movement and the end points

(x,y,z)

FOLD AXIS 1 (122,76,-7) AX IS (123,77, -8) 1

revolved about an arc during the motion of

(100,60,141) (x,y,z)

IS AX

the fold.

(89,78,13) (89,78,-13)

FOLD AXIS 2

step 16

I AX

FOLD AXIS 2

step 17

(x,y,z)

(x,y,z) (x,y,z)

(x,y,z)

FOLD AXIS (x,y,z)

FOLD AXIS 4 FOLD AXIS 3

FOLD AXIS 1/2

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Analysis

TRIMIRA GARACH 20379218

step 1

step 2

step 3

View 3: 1. Distance to crease 2. Angle of folding action 3. Fold start point

4. Fold end point

(100,100,141)

An arc is formed by the path of a point on

consistent distance away from the crease

180˚

141mm

(0,200,0)

a fold. The moving point is always at a

141mm

the paper as it travels across space to form

(200,0,0)

(100,100,141)

180˚

90˚

line. (0,0,0) x

(200,0,0)

step 4

step 5

step 6 y

(200,200,0) z

90˚ (99,1,-2)

(100,100,141)

90˚ 71mm

71mm

141mm

( 2,99,-2)

90˚

(51,49,-71)

(200,200,0)

(49,51,-71)

(49,51,71) (51,49,71)

(100,100,-141) 71mm 71mm

(100,100,-141)

90˚

(199,99,2)

(99,0,2)

(200,200,0)

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Analysis

TRIMIRA GARACH 20379218

step 7

step 8 y

View 3:

step 9 y

1. Distance to crease

(159,42,-7.7)

2. Angle of folding action

( 99,99,-3)

180˚

( 2,99,-2)

(159,42,-7)

An arc is formed by the path of a point on

180˚

100mm

(99,199,-2)

41mm

(99,1,-2)

180˚

42mm

180˚

41mm

( 2,99,-2)

(159,42,-7)

(129,69,-6) (130,70,-6)

41mm

(99,1,-2)

180˚

41mm

4. Fold end point

180˚

42mm

180˚

(129,69,-6) (130,70,-6)

(129,70,-9) (129,71,-9) 180˚

(199,99,-2)

41mm

3. Fold start point

( 99,99,-3)

the paper as it travels across space to form a fold. The moving point is always at a consistent distance away from the crease line.

step 10

step 11

step 12

(199,99,4)

(100,41,7)

180˚

38mm

180˚

(129,71,4) (130,70,4)

(99,0.5,4) x

38mm

180˚

(122,76,7) (123,77,7)

41mm

(199,99,4)

100mm

180˚

41mm

180˚

41mm

(129,71,4) (130,70,4)

180˚

(158,77,7)

(99,0.5,4) x

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Analysis

TRIMIRA GARACH 20379218

step 13

step 14

step 15

View 3: 1. Distance to crease 2. Angle of folding action

180˚

38mm

(100,41,-2)

4. Fold end point

(122,76,-6) (123,77,-6) 180˚ (158,100,-2)

38mm

3. Fold start point

An arc is formed by the path of a point on the paper as it travels across space to form

a fold. The moving point is always at a line. 90˚

20mm 20mm

90˚

(123,113,6) (123,113,6) 100mm

(104,95,-27) z

(200,0,0)

step 16

(100,60,141)

(89,78,13)

(100,95,27) (100,95,-27) 100mm

20mm 20mm

(100,58,140) (104,95,27)

consistent distance away from the crease

90˚ 90˚

(89,78,-13) x

(200,0,0)

step 17

(106,92,95) y

64mm

(57,141,2) (57,141,-2) (45,130,0) (84,130,0) (104,147,0) 90˚

76m

(107,144,0) (90˚) 25mm

15˚

100mm

(35,110,0)

(70,154,0)

15˚

90˚

64mm

(106,92,-95)

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

TRIMIRA GARACH 20379218

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Analysis View 4: 1. Volume At each step, the motion of folding the pa-

step 1

step 2

step 3

step 4

per records a specific volume, derived from revolving a cross-section of area (shown in

view 2) along the arcs specified in view 3.

712,018 mm3

1,447,265mm3

517,122mm3

2,947,991mm

This will be the focus of the analysis of the

following view.

2. Flattened Volume The volumes are flattened to create 2D templates that represent the complexity of each fold volume.

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

TRIMIRA GARACH 20379218

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Analysis View 4: 1. Volume At each step, the motion of folding the pa-

step 5

step 6

step 7

step 8

per records a specific volume, derived from revolving a cross-section of area (shown in view 2) along the arcs specified in view 3. This will be the focus of the analysis of the following view.

70,452mm3

81,303mm3

1,447,265mm3 y

517,122 mm3 x

81,303mm3

2. Flattened Volume The volumes are flattened to create 2D templates that represent the complexity of each fold volume.

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

TRIMIRA GARACH 20379218

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Analysis View 4: 1. Volume At each step, the motion of folding the pa-

step 9

step 10

step 11

step 12

per records a specific volume, derived from revolving a cross-section of area (shown in

view 2) along the arcs specified in view 3. 656,145mm3

This will be the focus of the analysis of the

following view.

81,303mm3

32,273mm3

656,145mm3 x

2. Flattened Volume The volumes are flattened to create 2D templates that represent the complexity of each fold volume.

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

TRIMIRA GARACH 20379218

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Analysis View 4:

step 13

step 14

step 15

step 16

step 17 z

102,502mm3 y

y y

5,707mm3

272,523mm3

807mm3

272,523mm3

7,519mm3

32,273mm3 32,273mm3

102,502mm3 x x

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Analysis

TRIMIRA GARACH 20379218

step 1

step 2

step 3

View 5: Cumulative Volumes This view shows the history of the folding processes by superimposing each fold

2,947,991mm3

3,814,345mm3

volume on top of all the folds that came before. A general trend of decreasing volumes can be observed.

step 4

step 5

step 6

3,814,345mm3

4,554,825mm3

5,407,247 mm3

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Analysis

TRIMIRA GARACH 20379218

step 7

step 8

step 9

View 5: Cumulative Volumes This view shows the history of the folding

processes by superimposing each fold vol-

5,407,247 mm3

ume on top of all the folds that came before. A general trend of decreasing volumes can y

be observed.

step 10

step 11

step 12

5,407,247 mm3

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Analysis

TRIMIRA GARACH 20379218

step 13

step 14

step 15

View 5: Cumulative Volumes This view shows the history of the folding

5,407,247 mm3

processes by superimposing each fold vol-

5,420,215 mm3

5,433,183 mm3

ume on top of all the folds that came before. A general trend of decreasing volumes can

be observed.

step 16

step 17

5,433,183 mm3

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Sequential Transformation Our code mimics the volumes created by the

folding process. At each step, a fold cross-section is drawn and revolved about a randomly determined axis of either 90 or 180 degrees. The fold axis is then bisected, and a smaller fold cross-section is formed. The revolving process then repeats. The number of steps

1: Get information from the user

2: Create lists, make random

3: Iterate

4: Squish and move

Number of steps: rs.GetInteger(“How many steps do you want?”,5,1,30)

Fold information: angleStart=0 angleEnd=[]

Store points: triangleList. append([pointA,pointB,pointC])

Squish:

Fold dimensions: rs.GetReal(“What length do you want your triangle to be?”,5,1,400)

List of fold cross-sections: triangleList=[] pointA=[0,0,0] pointB=[0,lengthB,0] pointC=[lengthC,0,0]

Define revolve axis/point combinations: if (revPoint==0):... if (revPoint==1):... if (revPoint==2):...

Generate random angles of rotation (90 or 180): rotateRandom=random.randint(-1,2)

Revolve: revolve(trianglePoints,axisPoints,i, moveFactor)

Make flattened fold template? templateResults = rs.GetBoolean(“Make Templates?”,items,[False])

and size of the volumes is user determined, in addition to an option to determine how often a symmetrical fold occurs.

step 1

step 2 IF

REVOL VE

TRIMIRA GARACH 20379218

X MM

REVOLV

E AXIS

AXIS

step 3

rs.Command(“_Squish _Enter _Enter”) rs.Command(“_SelLast”) squish=rs.SelectedObjects() Move: move=rs.MoveObject(squish[0],[lengthB*2.2 *i,-lengthB*k*2.2-lengthB*3-j*lengthB*10,0])

step 4

LV E

0˚

X/2 M

SURFACE TEMPLATES 1:2

AX IS

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Sequential Transformation

TRIMIRA GARACH 20379218

step 5

step 6

step 7

Our code mimics the volumes created by the

step 10

SURFACE TEMPLATES 1:1

step 9

SURFACE TEMPLATES 1:1

step 8

SURFACE TEMPLATES 1:1

a symmetrical fold occurs.

SURFACE TEMPLATES 1:1

addition to an option to determine how often

SURFACE TEMPLATES 1:2

and size of the volumes is user determined, in

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Frame Capture

TRIMIRA GARACH 20379218

step 1

step 2

step 3

step 4

step 5

step 6

step 7

step 8

SYSTEM STALKER LAB: FOLDING

MONA (MENG YI) DAI 20378644

ARCH 393 PHASE 1 / 07.10. 2013

Origami Paper Crane

Frame Capture

TRIMIRA GARACH 20379218

step 1 (template)

step 2 (template)

step 3 (template)

step 4 (template)

step 5 (template)

step 6 (template)

step 7 (template)

step 8 (template)