CURVATURE TOPOLOGY Workshop ONE | Mostafa ElSayed + Apostolis Despotidis Ariadna A. Lopez | Leo Claudis Beiling | Ruilin Yang
[2]
WORKSHOP BRIEF + TIMELINE
[4]
EXPLORATION ONE: CURVATURE THROUGH PATTERN
[6]
EXPLORATION TWO: CURVATURE CONTOL
EXPLORATION THREE: CURVATURE PARAMETRIZATION
[14]
[22]
EXPLORATION FOUR: CURVATURE TORSION
[30]
EXPLORATION FIVE: CURVATURE TORSION 2.0
[38]
CASTING INDEX: STITCHING RATIO VS. FOCE APPLIED
[46]
CONTENTS
[3]
THE DESIGN METHODOLOGY OF THIS WORKSHOP IS DEPENDENT UPON A CONTINUOUS STUDY OF MATERIAL BEHAVIOUR THROUGH DEVELOPING STITCHING PATTERNS IN LYCRA AND CASTING THEM IN PLASTER. CURVATURE TYPOLOGY FOCUSES ON THE INVESTIGATION OF MORPHING A LINE /2D PLANE TO A CURVE / 3D SURFACE THROUGH THE PATTERN APPLIED TO THE FABRIC IN CONJUNCTION WITH GRAVITATIONAL FORCES DURING THE CASTING PROCES. THE INVESTIGATION FOCUSED ON DEVELOPING A SUITABLE PATTERN WHICH WOULD FUNCTION STRUCTURALLY ONCE CASTED WITH PLASTER. THE PARAMETERS SET BY THE PATTERN ALLOWED US TO CONTROL THE FLOW OF PLASTER AND UNDERSTAND THE RESISTANCE AND DEFORMATION OF THE MATERIALS. THE TEAM CONDUCTED FIVE EXPLORATIONS OF CURVATURE, STARTING WITH UNDERSTANDING THE POINTS OF INFLECTION THAT FORM A SIMPLE TWO-DIMENSIONAL CURVE AND FINALIZING WITH POINTS OF TORSION THAT BEGIN TO TRANSORM A CURVE INTO THREE-DIMENSIONAL SPACE.
EXPLORATION ONE
EXPLORATION TWO
[4]
WORKSHOP BRIEF + TIMELINE
EXPLORATION THREE
EXPLORATION FOUR
EXPLORATION FIVE
WORKSHOP BRIEF + TIMELINE
[5]
[6]
EXPLORATION ONE:
CURVATURE THROUGH PATTERN
[7]
CORN FOCUSED ON GETTING ACQUAINTED WITH THE TECHINIQUE OF CREATING FOLD STITCHES IN THE FABRIC IN ORDER TO CREATE AN INTERDEPENDENT RELATIONSHIP BETWEEN THE INFLECTION POINTS IN A CURVE AND THE PLASTER BEHAVIOUAR . IN THIS CASE, THE UNIFORM FOLDS PRODUCED A UNIFROM CURVE WITH VERY LITTLE WEAK POINTS ALONG THE CAST.
corn
top
top
Fold stitch: 13 Pressure point A: 12 Pressure point B: 13
middle middle
bottom
Fold stitch: 13 Pressure point A: 12 Pressure point B: 13
bottom
[8]
Fold stitch: 13 Pressure point A: 12 Pressure point B: 13
EXPLORATION ONE: OVERVIEW
HES
PATTERN PRESSURE POINT B
BEFORE CASTING: X-Y AXES
FOLD STITCHES
PRESSURE POINT B
AFTER CASTING: X-Y-Z AXES
FOLD STITCHES PRESSURE POINT A
PRESSURE POINT
AFTER CASTING: X-Y-Z AXES
BACK FAC EXPANSIO
BACK FACE CURVATURE CAUSED BY EXPANSION OF FOLDS
EQUAL EXPANSION
EXPLORATION ONE: DIAGRAMS
[9]
FOLD STITCHES
7th Cast (Corn)
PRESSURE POINT A
PRESSURE POINT B
7 CM
1 CM
60 CM
6 CM
A B
90 CM
[10]
EXPLORATION ONE: PATTERN
60 CM
10 CM
10 CM
5 CM
5 CM
5 CM
5 CM
12 CM
A' A'
B' B'
[11]
TOP VIEW
SIDE VIEW [12]
EXPLORATION ONE: OVERVIEW
BACK FACE DETAIL
FOLD DETAIL
PATTERN DETAIL
EXPLORATION ONE: DETAILS
[13]
[14]
EXPLORATION TWO:
CURVATURE CONTROL
[15]
GARLIC FOCUSED ON UNDERSTADING THE SCALEABILITY OF THE PATTERN IN ORDER TO CREATE A SELF-STANDING CAST. THE PATTERN DEVELOPED IN THIS INSTANCE IS A GRADIENT OF SIZE FOLDS IN X-Y AXES, ALLOWING FOR MORE ARTICULATED CURVATURE AFTER CASTING.
[16]
b
garlic
corn
Fold stitch: 13 Pressure point A: 12 Pressure point B: 13
Fold stitch: 11 Pressure point A: 10 Pressure point B: 6
Fold stitch: 13 Pressure point A: 12 Pressure point B: 13
Fold stitch: 11 Pressure point A: 10 Pressure point B: 6
Fold stitch: 13 Pressure point A: 12 Pressure point B: 13
Fold stitch: 11 Pressure point A: 10 Pressure point B: 6
EXPLORATION TWO: OVERVIEW
GRADIENT OF FOLDS IN X-Y AXES
PATTERN
GRADIENT OF FOLDS IN X-Y AXES
GRADIENT OF FOLDS IN X-Y AXES
PLASTER FLOW
EXPANSION
EXPANSION
EXPANSION
EXPLORATION TWO: PATTERN
[17]
FOLD STITCHES PRESSURE POINT A
8th Cast (Garlic)
PRESSURE POINT B
91 CM
8.5 CM 1 CM 8 CM 1 CM 7.5 CM 1 CM 7 CM 1 CM 6.5 CM1 CM 6 CM 1 CM6.5 CM1 CM 7 CM 1 CM
102 CM
[18]
EXPLORATION TWO: PATTERN
10 CM
10 CM
9.5 CM
9.5 CM
9 CM
9 CM
8.5 CM
8.5 CM
8.5 CM
8.5 CM
8 CM
8 CM
7 CM
7 CM
6.5 CM
6.5 CM
6 CM
6 CM
5.5 CM 5 CM 4.5 CM 4 CM
5.5 CM 5 CM 4.5 CM 4 CM
9 CM
EXPLORATION TWO: PATTERN 91 CM
91 CM
7.5 CM
7.5 CM
8 CM CM 1 CM 8.5 CM 1 CM M 7 CM1 CM 1 CM8.5 7.5CM CM 11 CM CM 89CM 11 CM 11 CM
[19]
BACK VIEW [20]
EXPLORATION TWO: OVERVIEW
TOP SECTION DETAIL
MIDDLE SECTION DETAIL
BOTTOM SECTION DETAIL
EXPLORATION TWO: DETAILS
[21]
[22]
EXPLORATION THREE:
CURVATURE PARAMETRIZATION
[23]
BANANA TREE FOCUSES ON THE PARAMETRIZATION OF THE CURVATURE IN THE CAST. EACH SECTION OF THE PATERN IS DEVELOPED TO CONTROL THE AMOUNT OF INFLECTION POINTS IN THE CURVATURE, THUS THE CAST IS ABLE TO SHIFT BETWEEN DIFFERENT CURVE PROFILES.
banana tree
garlic
13 12 13
Fold stitch: 11 Pressure point A: 10 Pressure point B: 6
Fold stitch: 6 Pressure point A: 6 Pressure point B: 5
13 12 13
Fold stitch: 11 Pressure point A: 10 Pressure point B: 6
Fold stitch: 24 Pressure point A: 24 Pressure point B: 23
13 12 13
Fold stitch: 11 Pressure point A: 10 Pressure point B: 6
Fold stitch: 3 Pressure point A: 3 Pressure point B: 2
[24]
EXPLORATION THREE: OVERVIEW
ERN
PATTERN
PRESSURE POINT B
FOLD STITCHES
PRESSURE POINT B
PLASTER FLOW
PRESSURE FOLD STITCHES POINT B
PLASTER FLOW
EXPANSION 1X
EXPANSION 2X
EXPANSION 1X
EXPLORATION THREE: DIAGRAMS
[25]
FOLD STITCHES PRESSURE POINT A
10th Cast (Banana Tre
PRESSURE POINT B
13 CM
83 CM
1 CM 14 CM
6 CM 1 CM 7 CM
2.5 CM 1 CM
87 CM
3.5 CM
6 CM 1 CM 7 CM
14 CM 13 CM
1 CM
28 CM 27 CM
[26]
1 CM
EXPLORATION THREE: PATTERN
5 CM
11 CM
11 CM
23 CM
23 CM
9 CM 9 CM 6 CM 3 CM 6 CM
9 CM
6 CM
3 CM 6 CM
9 CM
87 CM
5 CM
87 CM
6 CM 9 CM 9 CM 12 CM 9 CM
9 CM
6 CM
9 CM
12 CM
9 CM
9 CM
9 CM
Tree)
11 CM
11 CM
5 CM
5 CM
2 CM
2 CM
EXPLORATION THREE: PATTERN
Fold Stich
Fold St
Pressure Point B
Pressu
Pressure Point A
Pressu
[27]
BACK VIEW [28]
EXPLORATION THREE: OVERVIEW
TOP SECTION DETAIL
MIDDLE SECTION DETAIL
BOTTOM SECTION DETAIL
EXPLORATION THREE: DETAILS
[29]
[30]
EXPLORATION FOUR:
CURVATURE TORSION
[31]
CACTUS FOCUSES UNDERSTANDING THE TORSION OF A CURVE; MANIPULATING OUR FINDINGS IN A TWODIMENSIONAL CURVE INTO A THREE-DIMENSIONAL ONE. IN THIS INSTANCE, THE CHALLENGE BECAME THE INFLECTION POINT IN WHICH THE CURVATURE CHANGED DIRECTIONS THREE-DIMENSIONALLY.
banana tree
cactus
Fold stitch: Pressure line:
9 9
Fold stitch: 24 Pressure point A: 24 Pressure point B: 23
Fold stitch: Pressure line:
9 9
Fold stitch: 3 Pressure point A: 3 Pressure point B: 2
Fold stitch: Pressure line:
9 9
11 10 6
Fold stitch: 6 Pressure point A: 6 Pressure point B: 5
11 10 6
11 10 6
[32]
EXPLORATION FOUR: OVERVIEW
TTERN
ONT FACE
W
PATTERN
AFTER STITCHING
BACK FACE
AFTER STITCHING
BACK FACE
FRONT FACE
PLASTER FLOW
TORSION: OPPOSING EXPANSION FORCESTORSION: OPPOSING CURVATURE EXPANSION ANALYSIS FORCES : WEAK CURVATURE POINT ANALYSIS : WEAK POINT TORSION: OPPOSING EXPANSION FORCES
EXPLORATION FOUR: DIAGRAMS
[33]
CUR
FOLD STITCHES PRESSURE POINT A
12th Cast (Cactus)
PRESSURE POINT B
1 CM
6 CM
8 CM
1 CM
9 CM
10
CM
CM
37 CM
5
92 CM
CM
5
CM
CM
5
55
CM
5
CM
5
CM
5
CM
5
CM
11
10 CM
FRONT FACE AFTER FOLDING
[34]
10 CM
FRONT FACE BEFORE FOLDING
EXPLORATION FOUR: PATTERN
10 CM
CM
92 CM
CM
5
CM
5
CM
41 CM
11
5 CM
55
CM
CM
5 5 CM 5 CM 5 CM 5 CM 5 CM 11 10
1 CM 1 CM
6 CM
8 CM
CM
CM
9 CM
BACK FACE BEFORE FOLDING
Fold S
Pressu 10 CM
BACK FACE AFTER FOLDING
EXPLORATION FOUR: PATTERN
[35]
SIDE VIEW [36]
EXPLORATION FOUR: OVERVIEW
TOP SECTION BACK VIEW DETAIL
MIDDLE SECTION BACK VIEW DETAIL
PATTERN DETAIL
EXPLORATION FOUR: DETAILS
[37]
[38]
EXPLORATION FIVE:
CURVATURE TORSION 2.0
[39]
PINAPPLE FOCUSED ON MASTERING THE TORSION OF THE CURVATURE. IN THIS INSTANCE, THE PATTERN SIZE WAS SCALED DOWN AND MIRRORED TO ALLOW THE TROSION OF THE CURVE TO HAPPEN MORE NATURALLY AS IT WAS BEING CASTED.
banana tree
Fold stitch: Pressure line:
9 9
Fold stitch: 24 Pressure point A: 24 Pressure point B: 23
Fold stitch: Pressure line:
9 9
Fold stitch: 3 Pressure point A: 3 Pressure point B: 2
Fold stitch: Pressure line:
9 9
1 0 6
Fold stitch: 6 Pressure point A: 6 Pressure point B: 5
1 0 6
1 0 6
[40]
p
cactus
EXPLORATION FIVE: OVERVIEW
PATTERN PATTERN
PRESSURE POINT A
FOLD STITCHES FOLD STITCHES
PLASTER FLOW
CONTRACTION OF BACK FACE FOLDS
EQUAL EXPANSION
EXPLORATION FIVE: DIAGRAM
[41]
14th Cast FOLD STITCHES 14 CM 2 CM 1 CM
M 5C
PRESSURE POINT A
10 CM 10 CM 10 CM 10 CM CM
100
10 10 CM 10 CM M
C 10 M
C 10 M
10 C 9 CM
50 CM
7 CM
FRONT FACE
[42]
EXPLORATION FOUR: PATTERN
8 CM
8 CM
50 CM
7 CM
8 CM
8 CM 9 CM
10 C
10
CM
10
CM
10
CM
10
CM
5C M
M
10
CM
10
CM
100 10 C
M
M
10 C
5C
M
M
C 10
10 C
M
M
C 10 M
5C
M
10 C
14 CM
BACK FACE
EXPLORATION FOUR: PATTERN
[43]
SIDE VIEW [44]
EXPLORATION FIVE: OVERVIEW
PATTERN DETAIL
BACK PATTERN DETAIL
BOTTOM SECTION DETAIL
EXPLORATION FIVE: DETAILS
[45]
CORN GARLIC Distance Distance Expansion ratio
1.2
Width before folding
90cm
Distance between rows Expansion ratio Size of stitches Width beforeoffolding Number stitches at the same height
5cm 0.5mm 12
Distance between rows Size of stitches
8.0 Risk index 8.0 Risk index
6.0 6.0
4.0 4.0
2.0 2.0
Number of stitches at the same height
0 0
Width before folding Width before folding
BANANA TREE CACTUS
Distance Distance
(MIDDLE PART) Expansion ratio
8.0 Risk index 8.0 Risk index
6.0 6.0
4.0 4.0
2.0 2.0
0 0
40cm
Distance between rows
8cm
Size of stitches Expansion ratio
1.53 2.0mm
Number of stitches Width before foldingat the same height
5 83cm
Distance between rows
9cm
Size of stitches (BOTTOM PART) Number of stitches at the same height Expantion ratio
0.5mm
Width before folding
90cm
6 2.0
Distance between rows
5cm
Size of stitches
1.5mm
Number of stitches at the same height
9
Width before folding Width before folding Failure:
[46]
2.0
Width before folding
CASTING INDEX
- Middle par tFailure: Uncont - Stitch type
CACTUS (MIDDLE PART)
Distance
Expansion ratio
2.0
Width before folding
40cm
Distance between rows
8cm
Size of stitches
2.0mm
Number of stitches at the same height
5
(BOTTOM PART) Expantion ratio
0 2.0 4.0 6.0 Risk index
8.0
2.0
Width before folding
90cm
Distance between rows
5cm
Size of stitches
1.5mm
Number of stitches at the same height
9
Width before folding Failure:
- Middle par tFailure: Uncont - Stitch type
Expansion ratio
1.54
PINEAPPLE Distance
2
0
Width before folding
115cm
Distance between rows
5.25cm
Size of stitches
0.5mm
Number of stitches at the same height
5
distance
2.0 4.0 6.0 Risk index
8.0
Width before folding
CASTING INDEX
[47]
[48]
CURVATURE TYPOLOGY
CURVATURE TYPOLOGY
[49]
ARCHITECTURAL ASSOCIATION SCHOOL OF ARCHITECTURE DESIGN RESEARCH LABARATORY [DRL] LONDON, UK 2016