M3 827418

Foundations of Design : Representation, SEM1, 2017 M3 JOURNAL - PATTERN vs SURFACE Yuyao Wang

827418 Emmanuel Alexander Cohen 26

1

WEEK 6 READING: Surfaces that can be built from paper in architectural geometry Question 1: What are the three elementary types of developable surfaces? Provide a brief description.

The three basic types are cylinders, cones and tangent surfaces of space curves. Their rulings all have plane that is tangent to the surface, and the Gaussian curvature is constant at all points on the surface.

Cylinders: The surface of a cylinder could be considered as a parallel extrusion of a section curve, this curve could be a polygon or a smooth curve. All the rulings on the development are parallel to each other, in spite of the plane of base.

Cones: The surface of a cone is formed by extruding a curve of base to vertex. Its rulings all intersect at this point. And a sphere with centre at vertex and certain radius will always meet the surface at right angle.

Tangent surfaces of space curves: The developable surface contains a polygon. The extension of the line formed by consecutive points on the polygon intersect and form ruled surface.

Question 2: Why is the understanding of developable surface critical in the understanding of architectural geometry? Choose one precedent from Research/Precedents tab on LMS as an example for your discussion.

The development of a developable surface could be mapped into the plane without distortion or tearing. This could be useful for calculation in digital architecture using software. For example, one can mapping texture or pattern onto a developable surface without stretching. Also, the application of developable surface enables us to look for more probabilities with inflexible and nimble curves, helps us to have deeper insight into the architecture that architects designed. In the work Huyghe +Le Corbusier Puppet Theater, numerous triangles has formed a developable surface, so the planes could also be mapped on it.

2

PANELLING 2D PATTERN

2d Panelling, Pattern: Triangular

2d Panelling, Pattern 1: equilateral triangle

2d Panelling, Pattern 2

3

VARIABLE 2D PATTERN

It is unable to use this pattern because they are not adjacent.

This pattern could not be formed into adjacent surfaces

4

3D Panel TEST Prototype & TEMPLATE

Only one of the patterns could join other pattern and unroll together, because the unrolled faces of the other two are beyond 180 degree

I’ve manually fixed a ‘base’ to the three patterns, so they could cover the whole surface of the terrain.

5

WEEK 7 READING: DIGITAL FABRICATION

Question 1: What is digital fabrication and how does it change the understanding of two dimensional representation?

Digital fabrication is a approach to design, represent and refine the work of architecture using computing. Firstly, software in the sort of CAD/CAM works as computer-aided tool to visualize the model in a 3-dimensional way with high precision. Secondly, the involvement of computer has also broadened the way to design and to construct.

The computerized process stores graphic information in a digital way, so is quicker and more accurate from the access of computer. It could be much more effective than the traditional hand-drawings, and simplify the construction process as well

Question 2: Suggest two reasons why folding is used extensively in the formal expression of building design?

Firstly, folding is the most literally material operation, also of materially economical. The characteristics of the material were preserved while forming a new space.

Also, folding is a generative design tool in both digital fabrication process and craft-based practices.

It could shape a two-dimensional surface into a three-dimensional object with complex geometric modulations, so it has been adopted up to now.

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EXPLORING 3d panelling

I used 3 kinds of 3D pattern with triangulated triangular 2D pattern as base.

The base of 3D pattern are all rectangle, so they could fit on to the grid.

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19

5

22 21

0

17

9

14

19 18 15

16

13

16

2

23

8

10

22

5

7

11

4

30

2

5

33

8

18

17

8

31

14

10

10

16

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21 12

12

6

1

7

15

3

14

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33

19

11

12

4

3

26

0

6

6

9

2

0

19

16

15

22 18 14

12

15

18

6

9

9

21

32

24

19

20

5

14

5

24 20 17

G1

22

31

23

30

23

12

11

4

2

4

35 30

29

13

I4

7

20

3

34

A7

19

34

24

29 28

35

31

29

21

6

8

9

8

33

34

28

12

2

35

1

32

33

11

2

13 7

25

20

25

20

26

12

6

8

27

1

7

22

5

12

5

34

26

22

17

16

7

1

2

17

6

35

21

20

10

8

D3E34

10

9

6

15

1

9

3

16

12

12

6

4

2 1

28

18

0

2

9 11 10

8

19

16

10

13

5

6

A12 B1

7

18

4

27

17

9

18

13

13

25

2

4

7

6

3 14

21

8

25

32

25

2

13

1

19

14

12

8

B2

31 28 29

30

23

0

32

16

11

1

7

29 28 31

18

19 33

5

10

11

22

11

9

8

34

4

22

34

15

13

19

14

19 18 12

13

16

19

13

3

0

23

7

5

22 21 15

7 24

27

26

32

23

20

15

14 18 22

7

7

27

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14

2

1

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17

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6

D1

6

3

10

33

13

5

7

4

9

5

5

10

29 28 31

9

11

26

20

12

0

18 19

30

33

18

1

2

2

12

0

7

0

19 18 15

16

6

3 1

11

13

20

12

6

10 11

21

4

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34

11

20

32

14

13

24

9

3

31 28 29

30

23

2

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35

8

2

4

6

0 33

I10J9 10

35

34

10

3

1

5

6

5

I’ve carefully chosen which tabs should be print out and others don’t. Because we only need one tab to connect two surfaces.

Panelised landscape

White glue was used to stick the model.

9

10

APPENDIX

The attractor curves that I draw is in the shape of a butterfly.

Its two wings are upwards because I want to enhene the variation of terrain by depressing the height of the pattern of lower altitude.

Labelled surfaces are easiler to been sticked together.

11