Abhishek Vijayan

EVALUATE YOUR ALTERNATIVE

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Summary Table

Top Height
Twist
Gross Floor Area (FA)
Gross Surface Area (SA)
Estimated Cost
Directivity
Cost Efficiency
Envelope Cost Efficiency
Spatial Efficiency
Vertical Space Utilization
Twist Density
Embodied Carbon Intensity (kg CO₂e)
(ft)
(degree)
(ft2)
(ft2)
($)
Cost per Square Foot of Floor Area
Cost per Square Foot of Surface Area
FA/SA Ratio
Floor Area Efficiency per Foot of Height
Twist / Top Height
Gross Surface Area × Material Carbon Intensity (30 kg CO₂e/ft²) for steel/concrete
200
15
2342577.936
695299.227
1502080794
32
641.2084615
2160.337213
3.369165166
11712.88968
0.075
20858976.81
200
30
2319443.618
694102.7035
1484930575
31.99999998
640.2098173
2139.352818
3.341643255
11597.21809
0.15
20823081.1
200
45
2282642.232
692162.8831
1457648516
31.99999981
638.5794914
2105.932796
3.297839696
11413.21116
0.225
20764886.49
200
60
2234681.733
689562.0315
1422093844
32
636.3742197
2062.314598
3.240726186
11173.40866
0.3
20686860.94
200
75
2178830.548
686456.4636
1380689552
31.99999912
633.683768
2011.328649
3.174025832
10894.15274
0.375
20593693.91
250
15
2964978.297
746626.8937
1917974144
32
646.8762844
2568.852207
3.971164609
11859.91319
0.06
22398806.81
250
30
2934379.589
744987.1816
1895496843
32
645.9617052
2544.334842
3.93883232
11737.51835
0.12
22349615.45
250
45
2885704.073
742337.2258
1859740620
32.00000003
644.466852
2505.250384
3.887322328
11542.81629
0.18
22270116.77
250
60
2822268.906
738807.9822
1813142203
32
642.4413347
2454.145389
3.820030338
11289.07563
0.24
22164239.47
250
75
2748397.09
734612.6311
1758877198
32
639.9647285
2394.292071
3.741287549
10993.58836
0.3
22038378.93
300
15
3602116.703
801092.5477
2340995690
32
649.8944601
2922.253735
4.496505071
12007.05568
0.05
24032776.43
300
30
3564589.872
799029.1325
2313587506
32
649.0473207
2895.498314
4.461151324
11881.96624
0.1
23970873.98
300
45
3504893.306
795700.9206
2269987382
32
647.6623348
2852.814824
4.404787295
11682.97769
0.15
23871027.62
300
60
3427095.225
791281.0187
2213166593
32
645.7849718
2796.941341
4.331072204
11423.65075
0.2
23738430.56
300
75
3336497.442
786031.1771
2146997384
32
643.488395
2731.440491
4.244739317
11121.65814
0.25
23580935.31
350
15
4245408.521
857845.1595
2766131072
32
651.5582795
3224.510906
4.948921696
12129.73863
0.04285714
25735354.78
350
30
4201197.651
855374.1865
2733963247
32
650.7580634
3196.219024
4.911531955
12003.42186
0.08571429
25661225.59
350
45
4130868.312
851392.5035
2682791627
32
649.4498068
3151.063248
4.851896505
11802.48089
0.12857143
25541775.1
350
60
4039213.334
846110.2081
2616103474
32
647.6764801
3091.918109
4.773861957
11540.60953
0.17142857
25383306.24
350
75
3932478.851
839832.2375
2538443475
32
645.5072161
3022.560176
4.682457609
11235.65386
0.21428571
25194967.12
400
15
4891553.829
916332.7195
3191795833
32
652.5116446
3483.228052
5.338185273
12228.88457
0.0375
27489981.59
400
30
4840784.19
913465.986
3154953062
32
651.7442089
3453.826536
5.299358995
12101.96047
0.075
27403979.58
400
45
4760021.356
908848.349
3096344676
32
650.4896606
3406.888157
5.23742092
11900.05339
0.1125
27265450.47
400
60
4654769.183
902723.1754
3019964741
32
648.7893648
3345.394052
5.156363888
11636.92296
0.15
27081695.26
400
75
4532200.431
895435.2398
2931018423
32
646.7097976
3273.289114
5.061449705
11330.50108
0.1875
26863057.19
Comments
Lower is better (more efficient use of cost per usable area).
Indicates construction/material efficiency for external finishes.
Higher is better (indicates more usable area per external surface, optimizing envelope).
Indicates how much geometric complexity is introduced per vertical foot.
Estimates total carbon emissions from materials used, based on surface area.

For 2 or More Units: Create Two New Evaluator Nodes

In Dynamo, I created two custom evaluation metrics—Cost Estimation and Directivity—to assess building form performance. The Cost Estimation node calculates the total estimated cost based on inputs such as Gross Floor Area (FA) and construction assumptions, forming the basis for further financial evaluations like Cost per Square Foot of Floor Area and Cost per Square Foot of Surface Area. The Directivity metric measures geometric deviation (e.g., twist or rotation), informing derived metrics such as Twist Density and Twist-to-Height Ratio. These two foundational metrics contribute to broader performance indicators including Envelope Cost Efficiency, Spatial Efficiency, Vertical Space Utilization, and Embodied Carbon Intensity. Collectively, the evaluation framework provides a comprehensive, multi-dimensional analysis across structural, economic, spatial, and environmental dimensions. Core parameters like Top Height, Twist, Gross Floor Area, and Gross Surface Area help quantify form scale and complexity, while derived metrics such as the FA/SA Ratio and Embodied Carbon Intensity enable meaningful comparisons of design alternatives. This integrated system supports informed, data-driven decision-making in the early stages of building design.

  • Images showing the node logic in your new evaluator nodes
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  • Cost Estimation Custom Node
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  • Directivity Custom Node
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The new metrics introduced are

  • Cost Efficiency: Cost per square foot of usable floor area. Lower values mean better economic use of space.
  • Envelope Cost Efficiency: Cost per square foot of building surface. Lower values indicate a more compact, cost-effective envelope.
  • Spatial Efficiency (FA/SA): Ratio of floor area to surface area. Higher values mean more usable space with less envelope, improving efficiency.
  • Vertical Space Utilization: Floor area per foot of building height. Higher values show better use of vertical space.
  • Twist Density: Twist angle divided by building height. Higher values mean tighter twisting, which can enhance aesthetics but may increase cost.
  • Embodied Carbon Intensity: Total carbon emissions from the structure (SA × 30 kg CO₂e/ft² assuming steel/concrete). Lower values are better for sustainability.
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The 250 ft height, 75° twist design was selected as the best option because it optimally balances architectural form, cost-efficiency, and sustainability. It meets the required floor area target of 2.5–3 million ft² while staying well below the site height limit of 755 ft. This design achieves the lowest embodied carbon intensity (22.04 million kg CO₂e) among all options, indicating excellent environmental performance. It also offers the lowest cost per square foot of floor area ($639.96) and the most efficient envelope cost among the 250 ft designs, reflecting minimized surface area and construction cost. Although its spatial efficiency is slightly lower than some other options, it compensates with superior envelope compactness, cost-effectiveness, and strong vertical space utilization. The high twist density (0.3) contributes to potential solar insolation benefits while maintaining structural and material efficiency. Overall, this design delivers an optimal blend of performance metrics, making it the most balanced and sustainable choice.

💡

Point to Ponder: Do the new evaluation metrics that you’ve designed capture the meaningful differences between the building form alternatives? What other metrics would be useful to compute to help understand and make the case for which alternatives are truly better than others?

The new evaluation metrics—Cost Estimation and Directivity—successfully capture meaningful differences between building form alternatives by addressing two critical dimensions: economic feasibility and geometric articulation. Cost Estimation helps distinguish forms based on their financial implications, while Directivity highlights variations in architectural complexity and design intent. Together, they offer valuable insights into both the practicality and expression of each design. However, additional metrics could further strengthen comparative analysis. For instance, Daylight Access or Solar Exposure could quantify environmental responsiveness, while Structural Efficiency (e.g., material use per unit of floor area) could inform constructability. Usable Floor Ratio or Circulation Efficiency could enhance understanding of internal space quality. Incorporating Lifecycle Carbon Footprint or Operational Energy Demand would also provide a fuller picture of long-term sustainability. By expanding the metric set to include performance over the building's life, designers and stakeholders can make more holistic, future-oriented decisions when selecting the best alternatives.