Steven Song - Module 5

Part 1

image
image
Base Rotation
Base Radius
Top Rotation
TopRadius
Top Height
Gross Floor Area
Gross Surface Area
Gross Volume
Degrees
ft
Degrees
ft
ft
ft2
ft2
ft3
0
125
90
200
300 ft
2,224,194.54
466,046.53
22,642,922.09
0
125
90
200
350 ft
2,601,857.87
512,654.95
26,419,480.20
0
125
90
200
400 ft
2,979,651.45
559,692.28
30,197,208.71
0
125
90
200
450 ft
3,357,625.84
607,027.76
33,975,702.41
Base Rotation
Base Radius
Top Rotation
TopRadius
Top Height
Gross Floor Area
Gross Surface Area
Gross Volume
Degrees
ft
Degrees
ft
ft
ft2
ft2
ft3
0
125
90
190
350
2,410,271.93
484,026.65
24,435,216.07
0
125
90
200
350
2,601,857.87
512,654.95
26,419,480.20
0
125
90
210
350
2,802,767.11
542,849.86
28,501,448.80
0
125
90
220
350
3,013,039.05
574,652.80
30,681,558.68
Base Rotation
Base Radius
Top Rotation
TopRadius
Top Height
Gross Floor Area
Gross Surface Area
Gross Volume
Degrees
ft
Degrees
ft
ft
ft2
ft2
ft3
0
125
45
200
350
2,640,790.70
513,881.79
26,811,216.74
0
125
60
200
350
2,633,519.86
513,720.89
26,737,941.36
0
125
75
200
350
2,621,132.04
513,336.38
26,613,286.72
0
125
90
200
350
2,601,857.87
512,654.95
26,419,480.20

Part 2

image
image
Base Rotation
Base Width
Base Depth
Mid Rotation
Mid Width
Mid Depth
Mid Height
Top Rotation
Top Width
Top Depth
Top Height
Gross Floor Area
Gross Surface Area
Gross Volume
Degrees
ft
ft
Degrees
ft
ft
ft
Degrees
ft
ft
ft
ft2
ft2
ft3
0
980
320
25
400
300
300
45
800
300
600
2,597,676.43
1,083,903.80
25,881,940.83
0
980
320
25
450
300
300
45
800
300
600
2,746,738.75
1,108,963.80
27,372,800.45
0
980
320
25
500
300
300
45
800
300
600
2,895,824.07
1,136,426.25
28,863,824.14
0
980
320
25
550
300
300
45
800
300
600
3,044,919.09
1,166,154.90
30,354,949.50
Base Rotation
Base Width
Base Depth
Mid Rotation
Base Width
Base Depth
Top Height
Top Rotation
Top Width
Top Depth
Top Height
Gross Floor Area
Gross Surface Area
Gross Volume
Degrees
ft
ft
Degrees
ft
ft
ft
Degrees
ft
ft
ft
ft2
ft2
ft3
0
980
320
25
400
200
120
45
800
300
600
2,597,676.43
1,083,903.80
25,881,940.83
0
980
320
25
400
200
120
45
850
300
600
2,635,909.81
1,099,668.45
26,282,931.76
0
980
320
25
400
200
120
45
900
300
600
2,673,992.67
1,115,725.57
26,682,416.68
0
980
320
25
400
200
120
45
950
300
600
2,711,825.23
1,132,021.65
27,079,471.80
Base Rotation
Base Width
Base Depth
Mid Rotation
Base Width
Base Depth
Top Height
Top Rotation
Top Width
Top Depth
Top Height
Gross Floor Area
Gross Surface Area
Gross Volume
Degrees
ft
ft
Degrees
ft
ft
ft
Degrees
ft
ft
ft
ft2
ft2
ft3
0
980
320
25
400
200
120
45
800
300
600
2,597,676.43
1,083,903.80
25,881,940.83
0
980
320
25
400
200
120
45
800
300
650
2,794,567.58
1,152,529.05
27,851,239.98
0
980
320
25
400
200
120
45
800
300
700
2,985,367.08
1,220,874.73
29,759,533.79
0
980
320
25
400
200
120
45
800
300
750
31,701,249.91
1,288,726.41
31,607,430.60

Part 1: Parametric Analysis of a Sample Conceptual Mass

In Part 1, I used the Twisting Rounded Triangular Tower Mass from the CEE 120C/220C shared library. This mass family includes the following instance parameters:

  • Base Rotation: rotation of the lowest profile
  • Base Radius: radius of the lowest circular profile
  • Top Rotation: rotation of the upper profile
  • Top Radius: radius of the top profile
  • Top Height: vertical distance between base and top profiles

By varying the Top Height, Top Radius, and Top Rotation, while holding other parameters constant, I explored how twisting affects building performance metrics such as Gross Floor Area and Surface Area. The mass was divided into floors using Revit Array for floors and the Mass Floors command. Dynamo was used to compile results directly into Excel.

The design approach for Part 1 was to keep the base size relatively maxed out to the allowable plan area to be economical. As construction costs per floor area increases with height, a balance between aesthetics and economy was considered.

Part 2: Custom Rectangular Twisting Mass Form

In Part 2, I created a custom twisting tower with three horizontal sections (base, mid, top), each independently parametrically controlled. The input parameters include:

  • Base: Rotation, Width, Depth
  • Mid: Rotation, Width, Depth, Height
  • Top: Rotation, Width, Depth, Height

This structure allows for compound twisting and tapering. I flexed the Mid Width, Top Width, and Top Height to examine its impact on total volume and floor area distribution. A similar mass division approach to Part 1 was taken.

The design approach for Part 2 was also to keep the base size relatively maxed out to the allowable plan area to be economical. Additionally, as base depth was delatively restrictive compared to base width, mid and top width were manipulated as opposed to the depth to keep within the construction envelope. A balance between aesthetics and economy was considered, again.