FoD:R M3 journal_2018 SEM1

Foundations of Design : Representation, SEM1, 2018 M3 JOURNAL - PATTERN vs SURFACE I-Tan Chen 963301 Han Li, Studio 27

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 elementary types of development surfaces are Cylinder, Cone, and Tangent surface of space curves. Firstly, the cylinder is comprised of a series of parallel lines on a profiles curve and the development of the curve is straight line segment with the right angle between the rulings being retained.

Secondly, the cone consists of a circular profile curve with a central point as the vertex and constant distance radius; lines on the surface with constant distance which connect the curve to the vertex.

The third one is the tangent surface of space curves which shapes three-dimensional curve; the curve is a single curve on the 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 developable surface can quickly build an architectural geometry and make an efficient structural construction of a building like the structural potential of casting concrete in a folded form. For instance, the Sydney Opera House, built by Jørn Utzon, was constructed with undulating beams made of formed, folded concrete; the rectangular beams supporting a flat slab is used to a structural ceiling landscape.

2

PANELLING PATTERN

2d Panelling, Pattern: Triangular

3D Panelling, Pattern: Pyramid 1

3D Panelling, Pattern: Pyramid 2

3

VARIABLE 3D PATTERN

The Frst Version with 10 units

The Second Version with 5 units The terriain of the Module was took as a primary considerarion before picking the units.The terrain looks like a slope; therefore, The units picking based on their height, and the intervals which were seen from top and section.There are two basis height of the unit, 39.6mm, 19.8mm, and 29.7mm.

At the same time,The intervals of the units are caved from thin rectangle to the square. following the rule from high to the lower point and Using 2 attractor points to arrange the patternin random. Last but not least, the structure of the final version is the best one because part of units are connected back to back, which creates a stable model.

The Final Version with 5 distortional units

4

3D PANEL TEST PROTOTYPE & TEMPLATE

Figure 02. Reducing a unit in the design progress is because the grid of module is 10x10 and 5 units can creste a symmetry pattern in the module.

Figure 01. The initial uinits of the design are 6 units. And The 6 unrolled prototype of the Module 3 re above.

5

WEEK 7 READING: DIGITAL FABRICATION Complete your reading before attempting these questions:

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

Digital fabrication improves the connection between the abstract design and physical construction.

Designers can use the digital fabrication to achieve the two-dimensional representation which could be conducted in complex form and large scale in the efficient path. Moreover, the digital fabrication can lower the cost of the manual employment and time to create the same achievement.

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

The first reason is the folding is materially economic, visually appealing and effective multiple-scale projects. The other one is the folding is not limited to structural tectonics, which potentially makes surfaces a three-dimensional spatial structure; simultaneously, it is used as the primary drawing method due to the comprehensive view of a building in a 3D digital environment. The other reason is the folding provides the possible variety to designers to create a wide range of forms efficiently.

6

EXPLORING 3D PANELLING_TERRAIN & PATTERN

Figure 03. The initial change of the terrain which has a focused point on the top right corner.

Figure 04. The units’ arrangement with 2 opposite orientation.

Figure 05. The final result of the model was conbined the terrain and the units.

In this Module, the majorty task is create a pattern by various panels. The 5 units, observing from distinct view, create various intervals in a progressive method.Height are designed from high to low, intervals are built from thin rectangular to square.

As the diagrams above, the 5 different units are designed in the symmetry direction; simultaneously, the heigh’s arrangement of the model followed the diagonal orientation and the shape of the terrain. In order to creat a stable physical model which is self-supporting, the 5th unit on the diagonal grid were arranged back to back. At the same time, the back to back ‘s arrangement can enhance the change in height.

7

EXPLORING 3D PANELLING

Figure 06. The top view: The pattern can be seen on the top view and it dispaly the intervals change.

Figure 07. The perspective of the units: the perspective reveals the various height and the orientation of the units .

8

Figure 08. The isomettric illustrates the pattern of the model, from high to low,and follows the terrain to arrange the intervals.

UNROLL TEMPLATE OF YOUR FINAL MODEL 19

6 22 29

4 23 4

21

29

4 8

19 16

15

0

13

3

0

6

4

2 14

8

7

12

1

15

4

11

1

9

0 5

39

28 27 29 23 26

24 25

32

30 31

38

4 2 2 1

11

0

12 3

26 2 25

21 23

1

6

6

4 3

10

4

0

26

1 13 11 17 15 14 12

26

19 27

31

14 16 6

20 23

19

4

13

68 5 8 9

6

4 38 26

35

37 28 24 20

25

36 34

21

5

7 1 3

15

29 32

28 20

31

24

1

19

22

30

23

27 38 35

20

28

1

36

26

0

33 30

8

7

12

3

4

31

2

5

3

14

1

13 11

9

4

17

7

1

0

3

19

49 55 52 48 54

17

13 11

9

57 53 46

4

1

0

13 11

9

17 4

12 26

36 35 37 34 28 27

0 5 33

3

32

22 30 33 31

34 18

23

9 13

3

28

22

29

32

31

33 30

82 83 80 84 79

4

12 4

0

9

5

5

10

2 3

13 11

9 12

5 20

17

20 21

23 28 31

24

32

36

9

32

7 2

13

5

81

9

1

0

67

75 73

72 14

5

78 76 16

9

12 18 11 10 14

0

7

1

8 19 16

1

32 17

14 11

2

12

37

27

34

21 24

31 33 35 38 28 36

20

16

5

20

23 32

6

4

5

7

1

0

2 3

13 11

9 12

6

4

8 18 15 19 14 16 10 17

4

5

0

7

1

2 3

8 18

31

1

20

27

14 10 13 11

9 12

15 19 16

32

14

7 15

17

22 20 19 16 21 21

23 28 27

31

13

33 30

27 38 35

29

30

13

26 24

20 18

9 22 23 24

13

17

6

19

10 3

8

1

5

23 6

23 21 16

24 22 28 28

22

25

15

1

32

9

7

27

3 31

0 2 14

4 16

26 31 30

26

15 10 11 1113

17 18 19 21 18

20 29

21 25 26

7

68 5 8 9

12

14

1 26

1

3

31

416 17 30 32

0 2 10

48

39 13

15 11 12 14

7

10

464049 27

15

12

47 41 42 2

43 0

3

5 17

20

131

26

6 16

18 2119 22

4 14

15 2325

24

33

29 37

32 28 30 27 34 36 38 35 29

Figure 09. The unrolled panels of the module. Most of them are 2-3 units connecting continuously and part of them are single unit because of the result of the overlaid unrolling.

9

1

23

18 16

1 4

1

14

22 31

32 24 26 12

3 5 15

7 21

2 0

86

12

10

8 9

11 44

4 13 11

7 16

25

5

28

11 2 0

36

37

1

45

1 31

25

29

24

8

14 12 18

26 34

22

28

30

36

5

32

27

21

23

8 16

1728

0

20

25 10

9

Figure 10. The unrolled panels and the tools of physical model making.

24

11 6

13

3

1

1

6 4 8 10 9 11

19

30

32 13

37

2 06

3

17

18 12

9

13

17

4

3

1 19 18 14

33 30

13 11

14 10 11

2

5 2 0 11

11

27 38 35

29

9

29 4

10 9 12

14

26 34

3

16

19 16 17

4

6

25

8 13

27

31

2

8

12

22

28

13

3

7 5

9

16 15

21

6 18 15

12

6

1

1

25

26

10 3

24 25

10 13 11

9

7

3

17

9

0

15 19 8

13

8

8 14 10

6 8

0

3

2 2 0

19

12

23

18

4 11

18 12

9 5

17

16

17

17

4

57

14 10 11

0

2

1

19

13 11

2

5

29

13

5

2

16

7

1

0

19

4

9

6

1

14 11 18 10 12

4 4

19 8 18 15 16 14

2 3

17

16

15

0 1

2

17

8 19

7

5

3 9

4

32 37

6

4

24

4 6

16

13 11

12

30

6

15

36

31

29

21 20

7

26 28 38 35

6 18 15

15

15

27 34 30 33

23 25

35 34 38 27 26

9

12

7

8

14 10

12

8 18 15

10

3

74

22

10

3

17

8

7

3

17

14

2

29

25

43

22

5

19

16

7

15

4

1

0

2

10

25

4

13 11

13

7

77

68

20

44

39

10

3

4

6

8 18 15

14

19

16

4

6

36

6 18 15

12

4

4

24

12

26 27 37 22 33 34 38 29 35 30

40

9 17

4

1

0

4

7

27 38 35

14 10

3

5

13

8

7

4 4

30

20

21

47

41

16

1

0

22 28 32

23

29

6

4

19 8 18 15 16 14

7

1

11 12

3

58 59 4857 71 47 55 56 65 69 53 49 45 46 70 50 44 51 13 54 63 8 52 61 6466 64 66 60 12 62 11 7 9

37

22

51

27 13

4

21

23 29

19 16

10 13 11

6

5

24

26

20

32 28

30 3329

12

15 16 8 18 14 17 7 10 1 13 2 11 3 9

818 15 14

2

19

6 4

7

1

0

5 12

36

4

10

2 3

6

12

38

17

22 29 32

23

2

15

42

45

37 31

818 15 19 7 14 16

2

1

6

3 4243 4

86 85

21

39 40

59

5650

16

10

12

1

5

4

14 11 12

2

6

4

9

33 29 30 37 31

4

818 15 14

2

5

12

2

25

19

16

34

6

4

818 15

10

14

12

0

10

0

46

17 10 13 11 2

41

21

12

31

20 21

25

4

19

6

8 19 16 15

9

35 34

7

4

21

6

4 7

1

0

9

13

20

1

3

4 6

8 18 15

14 10

37

38

17

11

8

29

34

65

68

27 38 35 36

36 27 25 29 26 24 22 31 33 23 28

19 18

67

16

13 10

2

37

2

8

59

7

3

12

17

18

22 24

5

17

12

24 20 33 31

29

25

0

1210 64 11 66

5 33 30 33

4

1

0

5

14 11 1823 10 12

15

4

0

10

33

30

4

27

4

1

9

26

21

20 19 16 17

8 7

0

19 13 14 21 20 15 23 17 16 18 25 26 61 62 58 60

28 27 63

0

38 36 35 37 34 26 28 27 24

33 31

11

2

18 15

6 4

10 13 11 14 12

15

31

1

14

9

14

24 20

11

0

9

7 16

16

7

6

25

5

21

18

5

6 16

4 13 11

27 22

23

0

19 8 18

5

26

17

4

12

13

22 31

7 9 6

1

14

5 15

5

2 14 12 13 13 15 10 15 16

4

3

7

4

22 30 29

2

30

4

11 2 2 0

37

5

15

8

4

25

18

18

32

3

11

0

5

20 21 31 23 22 29 31 26 27 28 25 19

15

4

86

7 21 32 24 26

16

13

0

14

77 8 5

3

19

10

22

1

1

32

16

30

3

3137

28

23

4

3 6

4

16

17

49

48 50 46

40 42 39 31 38 36 35 37 32 52 44 33 41 53 34 30 54 5 6 55 29

36

2933 30

22

2 22 7

9

8

20

57 51

24

26

25

19

56

20 21

25

6 4

3

53

26 27 38 34 35

25 5

1 0

12

17

13 11

31

29

33

19 16 17 15 818 14 10 13 7 11 2 1

19

81815 16

7 14 17 10 2 13 11 3 9 12

1

0

5

37 34 24 2827 20 21 23

23

45 47

5

2

1

9

6

11

8

21 23

24 7 21

15

18

17

4 14 12

10 11 12

13

9

20

9 10

7

28

29

22

9

10

24

3 69 5 25 24 32

23

3

9

6 21

3

11 2 0

10

23

8

25

16 2 18

0 2

15

0

22

1

5

3

5

7 2019

16

4

1 7

15

9

19

32

6

8

23

14

16 17

3

12

17

1

15

11

6 4

16

13 27

9

0

18

4

9

18

2

1

10

8

2524 1

2 12 13

4 15

4

26

14

19

5

0 20

19 18 17

16

3

21

26

27 25 28 8 13 7

0

0

9 13

14

24

10

23

10

13 10

22

22

3 9

34

36

35

26 12

32

24

81815 15

8 19 16 17 14 15 11 18 10 12

7

3

20

24 1211 12

0

5 6

4

13 11

5

7 14 10 2

26

21

38

11 17

8

3

37

33 30

4

31

6 4

27 38 35

2

0

36

23

20

28

32

19 16 15 17 818 14 10 13 7 11 2 1

4 0

1

25

36

17

12

4

19

22

6 4 16

13 10

9

1

25

24

20

24

27

16

3 9

31 30 33 35 38 27 37 36

5

37

4

21

26

34

29

38 31 30 33 35

19

81815

26

34

29

8

37

22

28

7 14 10 2

1

0

5 22

9

7

6 3635

13

4

4

21

3433

13

3

13

28

23

32

24

32

0

1

3

7 18 15

14

20

6

23 10

22 9

2

18 12

2

5

12 18

9

18

27

11

14 10 11

0

12

20

17

11

2

9

3

5 6

16

10 14

1

17

14 11

2

25

12

3

4

19 16

10 4

14

21

19 16 17

15 1613

5

6 7 8 10

9

33 31

15

18 16 19 21 20 13

36

8 15

5 17

26

6

7

0

28 38 35

30 33 31 32 37

29 1 1 4

4

4

8 19

15

12

30

22

6

7

32

27 34

3

4 17 13 11

24

9

5

3 9

23 29

25

2

5

20

21

0

16 8 1815 7 14 10

33

25 23

29 22

18

12

2

36

35 26 37 28 34 27 24 20 21

26

17

14 11

10 1

38

24

34 30 28 38 33 35 32 31 36 37

6

7

4

27

20 25

1

13

12

26 25

27 29

17

28 20 19

31 30

Figure 11. The two unrolled panels and their location number for physical model making.

9

PANELISED LANDSCAPE

Figure 12. The top view of the physical model

10

Figure 13. The perspecctive of the physical model: The change in the intervls can be seen in the photograph.

Figure 14. The landscape perspecctive of the physical model

Figure 15. The landscape perspecctive of the physical model

Figure 16. The landscape perspecctive of the physical model

Figure 17. The landscape perspecctive of the physical model

11

APPENDIX_PHYSICAL MODEL MAKING

Figure 18.- 19 The progress of the physical model making.

Figure 18. The progress of the physical model making.

Figure 19. The progress of the physical model making.

Figure 20.- 21 The progress of assemblying model.

Figure 20. The progress of assemblying model.

12

Figure 21. The progress of assemblying model.

APPENDIX_PROGRESS OF THE MODULE

Figure 22. The original terrian in rihno

Figure 23. Adding a horizontal plane to display the change of the elevation.

Figure 24. The final partial pattern of the module

Figure 25. The final partial pattern of the module

13