4.1. Main Design Parameters
Prismatic skyscrapers are known for their simplicity and efficiency in both design and space utilization. The primary architectural consideration in these buildings is the use of a central core, which houses essential services such as elevators, stairwells, and mechanical systems. This centralized core layout is ideal for maximizing space efficiency because it minimizes circulation pathways and ensures consistent floor layouts across levels. However, as the building height increases, the core must grow proportionally to accommodate additional elevators and stairwells, which can reduce usable space.
Prismatic forms are most employed in residential and mixed-use towers, where the simplicity of their layout allows for straightforward construction and the efficient allocation of interior spaces. The regularity in floor plans helps ensure that space utilization is maximized, as the uniformity of the design simplifies the division of the internal space into functional zones.
Tapering form allows for enhanced aesthetics, improved wind resistance, and maximized views from upper floors. However, it introduces more complexity in terms of spatial efficiency. As the floor area decreases with height, the allocation of space becomes more intricate, and core-to-floor ratios must be carefully managed to maintain efficiency.
The primary architectural design consideration for tapered skyscrapers is again the central core strategy, which is widely adopted for its structural efficiency and ability to centralize vertical circulation. This core design is crucial in ensuring that the structural loads are properly distributed, particularly given the unique wind loads that tapered forms must withstand.
Tapered forms are commonly used in mixed-use developments, where the varying floor sizes can accommodate different functions. For example, larger lower floors may house commercial spaces, while smaller upper floors can be designated for residential or office use. This flexibility allows for the efficient use of space within the constraints of the form.
Freeform skyscrapers, which are characterized by their non-uniform and often highly irregular shapes, provide a unique architectural challenge. These forms allow for a great degree of aesthetic freedom and the creation of iconic landmarks, but they also introduce significant difficulties in maintaining high space efficiency. The irregular shapes complicate the core design and require more sophisticated structural systems to handle the non-linear distribution of loads.
The central core remains the most common strategy for vertical circulation in freeform skyscrapers. However, the irregularity of the forms often necessitates the use of complex structural systems, such as outrigger frames, to manage lateral forces and ensure structural stability. The variability in floor sizes and shapes can result in lower space efficiency compared to prismatic and tapered forms, as the irregular geometries lead to more wasted or unusable space. Despite these challenges, freeform designs are favored for their iconic status and ability to create distinctive urban landmarks.
Overall, all three forms generally adopt a central core strategy for structural efficiency and centralized vertical circulation. However, in freeform skyscrapers, the complexity of the form often necessitates additional structural systems like outrigger frames. Prismatic skyscrapers tend to be the most efficient in terms of space utilization due to their simple, regular floor plans. Tapered skyscrapers strike a balance between aesthetics and efficiency, while freeform skyscrapers, though iconic, often have lower space efficiency due to their irregular shapes. Prismatic forms are well-suited for residential and mixed-use developments where simplicity and efficiency are paramount. Tapered forms are more flexible, accommodating a range of functions such as offices, hotels, and residential spaces. Freeform skyscrapers are primarily used in high-profile, mixed-use projects where the aesthetic impact is a priority.
Prismatic skyscrapers often rely on outrigger frame systems to handle lateral forces such as wind and seismic activity. These systems distribute the load from the core to the perimeter columns, improving overall stability and allowing for flexible placement of columns. This flexibility is essential for maximizing usable interior space, as the outrigger system allows for unobstructed floor plans. Prismatic skyscrapers typically use reinforced concrete as the dominant structural material, chosen for its strength, durability, fire resistance, and cost-effectiveness. In some cases, composite materials are used, combining the tensile strength of steel with the compressive strength of concrete. These materials offer a balance between cost efficiency and structural performance, making them ideal for supporting the vertical loads in prismatic towers. Reinforced concrete accounts for about 57% of prismatic skyscrapers, while composite construction is used in 40% of cases.
In tapered skyscrapers, structural design must accommodate the changing load distribution and wind forces that result from the tapering form. Outrigger frame systems are again the preferred choice, providing the flexibility needed to manage lateral forces and ensure structural stability as the building height increases. The outrigger system’s capacity to place perimeter columns at various positions allows for better structural performance in managing the taper’s aerodynamic profile, which significantly reduces wind loads.
Composite materials dominate in tapered skyscrapers, accounting for more than 80% of the structural materials used. This combination of steel and concrete provides the necessary balance of strength, fire resistance, and stability needed to support both vertical and lateral loads in these tall, slender structures. The lightweight nature of the tapering upper sections also reduces the overall material requirements, making tapered skyscrapers structurally efficient.
Freeform skyscrapers, with their complex, non-linear geometries, require even more sophisticated structural systems. Like their prismatic and tapered counterparts, freeform skyscrapers commonly employ outrigger frame systems, but these systems must be adapted to support the irregular and asymmetrical load distributions inherent in freeform designs. The flexibility of the outrigger system allows for unique façade designs, enabling architects to realize the full aesthetic potential of freeform structures while maintaining structural integrity.
Given the complexity of freeform geometries, composite materials are again the material of choice, providing the strength and versatility needed to manage the various forces acting on the structure. These materials allow the building to maintain its shape and stability while reducing weight, which is critical for managing the stress created by the irregular form.
Overall, outrigger frame systems are used in all three forms to manage lateral loads and provide stability at height. However, the complexity of freeform designs requires more advanced adaptations of these systems to handle non-linear load distributions. Composite materials, combining steel and concrete, dominate in all three types of skyscrapers. Their ability to balance tensile and compressive forces makes them ideal for both vertical and lateral loads. Reinforced concrete is also widely used in prismatic towers for its fire resistance and cost-effectiveness. Tapered and freeform designs optimize material use by reducing weight at higher levels, enhancing both structural efficiency and aesthetic appeal. In contrast, prismatic forms emphasize simplicity and uniformity, with a focus on maximizing space and cost efficiency.
Table 1 and
Table 2 show the outcomes on architectural and structural design parameters for prismatic, tapered, and freeform skyscrapers.
4.2. Space Efficiency in Towers with Different Forms
Average space efficiencies of prismatic, tapered, and free towers were 72%, 72%, and 71%, respectively, whereas core area to GFA ratios were 24%, 26%, and 26%, respectively. Values fluctuated from the lowest of 55% and 11% to the highest of 84% and 38%, respectively, as seen in
Table 3.
As seen in
Table 3, prismatic skyscrapers achieve an average space efficiency of 72%, with values ranging between 56% and 84%. The regular, uniform floor plans in prismatic buildings contribute to their generally high space efficiency. These buildings are typically designed with repetitive floorplates, which allow for straightforward spatial planning.
The higher end of space efficiency (up to 84%) is attainable in prismatic buildings because their simple geometries allow for efficient layout and consistent floor use. However, the lower range (56%) may occur in extremely tall or heavily serviced prismatic buildings, where additional circulation cores or structural elements become necessary to manage vertical loads and circulation. The simplicity of prismatic designs is particularly effective in reducing spatial inefficiency caused by irregular shapes, resulting in less wasted or unusable space. Their geometry often makes it easier to optimize floor layouts, especially for commercial or residential functions, which require efficient space distribution.
Tapered skyscrapers also exhibit an average space efficiency of 72%, with a broader range between 55% and 84%. Although they share the same average space efficiency as prismatic buildings, their variability is higher, which can be attributed to the changing floorplate sizes as the building rises. Tapered forms are often narrow towards the top, which creates more challenges in terms of space efficiency. As the floor area decreases with height, the usable space becomes less consistent, leading to more variability in space efficiency. In buildings where this taper is more pronounced, space efficiency may drop towards the lower end of the range (55%). However, the aerodynamic and aesthetic benefits of tapered forms, such as reducing wind loads and improving structural stability, justify this variability. Even so, when carefully designed, tapered buildings can still achieve high efficiency (up to 84%), particularly in the lower sections where floorplates are larger and more efficiently utilized.
Freeform skyscrapers show a slightly lower average space efficiency of 71%, with a range from 56% to 84%. Freeform designs introduce more complexity due to their irregular and often non-repetitive shapes. This complexity can make it difficult to maintain consistently high space efficiency throughout the building. The lower average efficiency in freeform designs is largely due to the irregular geometries, which can result in unusable or inefficiently shaped floor areas, particularly in the corners and peripheries. The dynamic forms may limit the potential to organize space efficiently, particularly in the upper sections or in areas where the form significantly deviates from a standard shape. Nonetheless, freeform designs can still achieve high space efficiency (up to 84%) when the architectural form is well-integrated with efficient spatial planning, particularly on the lower floors or where the design allows for large, flexible interior spaces. These high-efficiency cases often occur in mixed-use buildings or in areas where aesthetic and functional considerations are well-balanced.
On the other hand, prismatic buildings have an average core-to-GFA ratio of 24%, with a range from 12% to 36%. The lower end of this range reflects the inherent efficiency of prismatic forms in managing space. Their simple, uniform layouts allow for compact and centralized core placements, minimizing the need for extensive circulation or mechanical shafts. However, as prismatic buildings grow taller or serve more complex functions, the core size may need to increase to accommodate additional elevators, stairwells, and structural support. This explains the upper limit of 36%, where a larger core reduces the proportion of usable space, particularly in super-tall prismatic towers. In general, the regularity of prismatic designs makes them highly efficient in distributing services, resulting in lower core-to-GFA ratios and more usable floor area, especially in mid-rise buildings or those with straightforward vertical circulation needs.
Tapered buildings exhibit a slightly higher average core-to-GFA ratio of 26%, with a range from 11% to 38%. The increasing structural complexity of tapered forms, especially in the upper sections where the building narrows, often requires a larger proportion of floor space to be dedicated to the core. As the building tapers, the floor area reduces, but the core size does not necessarily shrink at the same rate, leading to a higher core-to-GFA ratio, particularly at the top of the structure. This is a key factor in reducing space efficiency in some tapered skyscrapers, especially as the taper becomes more pronounced. Despite this challenge, tapered buildings can achieve lower core-to-GFA ratios in the lower sections, where the wider floorplates provide more space for circulation and mechanical systems without significantly impacting the usable area.
Freeform buildings share the same average core-to-GFA ratio as tapered buildings (26%), with a range from 11% to 36%. The irregular and asymmetrical shapes of freeform buildings make it challenging to efficiently place the core, often requiring more space to accommodate the structural and mechanical needs. The dynamic geometries of freeform buildings frequently lead to uneven or less centralized core layouts, contributing to a higher core-to-GFA ratio in certain sections of the building. In some cases, this inefficiency is compensated by innovative engineering solutions, but it often results in a greater proportion of floor area being used for non-functional purposes, particularly in areas where the form deviates significantly from a standard shape. However, freeform buildings can still achieve lower core-to-GFA ratios (as low as 11%) in sections where the building’s design allows for more compact core placement or where structural demands are lower. Achieving this efficiency requires careful coordination between architectural design and engineering.
In summary, prismatic buildings tend to have better space efficiency and lower core-to-GFA ratios due to their simple, regular geometry, making them easier to optimize for both functional use and circulation. Tapered buildings, while visually and aerodynamically advantageous, experience more variability in space efficiency and core size, particularly as the building narrows toward the top. Freeform buildings, with their irregular and dynamic shapes, present the most challenges in maintaining space efficiency and minimizing core-to-GFA ratios, though they can achieve high performance with careful planning and innovative design solutions. Ultimately, the choice of form depends on balancing aesthetic, structural, and functional considerations, with space efficiency and core-to-GFA ratios serving as key indicators of the building’s overall efficiency.
Relation of Space Efficiency and Location, Core Typology, Form, Structural Material, and System
Figure 4,
Figure 5,
Figure 6 and
Figure 7 provide a comprehensive analysis of empirical data, highlighting the complex relationship between spatial efficiency and the architectural and structural elements that impact it. In these figures, a bar chart on the right visually represents the total number of skyscrapers categorized by relevant classifications, giving a clear snapshot of data distribution. Colored dots represent the spatial efficiency of individual towers in different regions, correlating with their specific design features, offering a visually engaging depiction of these intricate interactions. Additionally, the bars emphasize the prevalence of buildings within the sample that exhibit similar design characteristics.
Figure 4 illustrates the comparison of space efficiency for three distinct skyscraper forms across residential, office, and mixed-use building functions. Prismatic buildings (orange) generally display lower and more consistent space efficiency. In residential buildings, which account for 15 out of the 22 analyzed, the space efficiency ranges from around 60% to 75%, with a majority of the values clustering near 65%. In office buildings (9 out of 36), the space efficiency increases slightly, ranging from 65% to 75%. For mixed-use buildings (11 out of 52), prismatic forms maintain a similar efficiency range, spanning from 60% to 75%.
Tapered skyscrapers (blue) exhibit more variability in space efficiency, particularly in office and mixed-use buildings. In residential buildings (3 out of 22), the space efficiency is more widely distributed, ranging from 55% to 80%, indicating a larger degree of variability than prismatic forms. In office buildings (13 out of 36), the efficiency spans from 60% to 85%, with several buildings approaching the upper range, showing the tapered form’s potential for optimization in commercial applications. In mixed-use buildings (24 out of 52), tapered designs display one of the highest space efficiencies, with values ranging from 60% to 85%.
Freeform skyscrapers (green) also show a broad range of space efficiency, particularly in mixed-use buildings. For residential buildings (4 out of 22), freeform designs exhibit slightly better performance, with efficiency ranging from 65% to 85%. In office buildings (14 out of 36), the efficiency ranges between 60% and 85%, similar to the tapered form but with slightly more variability. In mixed-use buildings (17 out of 52), freeform designs achieve the highest space efficiency, ranging from 65% to 85%, making them well-suited for multifunctional uses.
Figure 5 provides a detailed comparison of the space efficiency of skyscrapers with different forms based on three core typologies: central, external, and peripheral cores. Central core typology is the most commonly employed across all three forms, with 107 buildings in total. Prismatic skyscrapers (orange, 34 buildings) have a space efficiency range from 60% to 80%, with most of the data points clustering around 70%. This indicates a moderate level of space efficiency, which is consistent but slightly lower compared to the other forms.
Tapered skyscrapers (blue, 38 buildings) demonstrate a wider range of space efficiency, from 60% to 85%, with several buildings achieving efficiencies above 80%. This suggests that tapered forms can better optimize the central core, possibly due to the varying floor sizes that allow for flexible spatial planning. The higher variability in efficiency reflects the adaptability of the tapered form in balancing structural demands and maximizing usable space.
Freeform skyscrapers (green, 35 buildings) also show a broad range of space efficiency, from 65% to 85%, with many buildings achieving efficiency levels at the higher end of the spectrum (above 80%). Despite the complexity and irregularity of their forms, freeform skyscrapers maintain a high level of space efficiency when using a central core. This performance demonstrates the potential of freeform buildings to be both architecturally expressive and spatially efficient.
External core typology is far less common, with only two buildings represented in the dataset—one prismatic and one tapered. Both buildings show lower space efficiency, with values ranging from 55% to 70%. The prismatic building has an efficiency closer to 60%, while the tapered building shows slightly higher efficiency at around 70%. The lower space efficiency in buildings with external cores suggests that this core typology may limit usable space compared to central cores.
Peripheral core typology is the least represented, with only one tapered building analyzed. This building shows a space efficiency of approximately 65%, indicating a moderate level of efficiency. However, the single data point limits the ability to draw broader conclusions about the effectiveness of the peripheral core in other buildings or forms.
Figure 6 compares the space efficiency of prismatic, tapered, and freeform skyscrapers across six different structural systems: shear-walled frame, mega column, mega core, outrigger frame, tube, and buttressed core. Shear-walled frame system, represented by 7 buildings (2 prismatic, 3 tapered, and 2 freeform), shows moderate space efficiency across all forms. Prismatic buildings exhibit space efficiency in the range of 60% to 70%, while tapered and freeform buildings demonstrate a broader range, with efficiency spanning from 60% to 80%. Despite its moderate application, the shear-walled frame system does not appear to provide exceptionally high space efficiency compared to other structural systems, especially in prismatic forms.
The mega column system is represented by 4 buildings, all in the tapered and freeform categories. Tapered buildings show a wide range of space efficiency, from 60% to 80%, indicating significant variability in how this system supports spatial optimization. Freeform buildings utilizing the mega column system display slightly higher space efficiency, with values ranging from 65% to 80%. This suggests that the mega column system, while not commonly used, can provide higher space efficiency, particularly in more complex geometries such as freeform skyscrapers.
The mega core system, used in only 2 buildings, both freeform, demonstrates a higher range of space efficiency. These freeform buildings exhibit space efficiency from 70% to 85%, showcasing the system’s potential for achieving high levels of spatial efficiency in non-linear building designs. The limited dataset prevents broader conclusions, but it suggests that mega core systems may be particularly well-suited for freeform skyscrapers, where complex geometries demand a robust and flexible structural solution.
The outrigger frame system is the most widely used structural system in the dataset, represented by 76 buildings (22 prismatic, 28 tapered, and 26 freeform). This system shows a wide range of space efficiency across all forms. Prismatic buildings using outrigger frames exhibit efficiency from 60% to 80%, with most data points clustering around 70%. Tapered buildings display a broader spread, ranging from 60% to 85%, with several buildings achieving efficiencies in the higher range. Freeform buildings show the highest levels of efficiency, spanning from 65% to 85%, indicating that the outrigger frame system is particularly effective for complex forms. This widespread use and adaptability of the outrigger frame system highlight its suitability for tall, structurally demanding buildings, and its capacity to maximize space efficiency, especially in non-standard geometries like freeform designs.
The tube system, used in 20 buildings (9 prismatic, 8 tapered, and 3 freeform), shows a more consistent performance. Prismatic and tapered buildings have space efficiency ranging between 60% and 80%, with most values clustering around 70%, reflecting a balanced use of this system for both forms. The freeform buildings in the dataset, though fewer, show slightly higher efficiency, with values ranging from 65% to 80%. This system appears to perform well across all forms, providing stable and efficient structural support, particularly in traditional and linear building designs such as prismatic and tapered forms.
The buttressed core system is the least represented, with only one tapered building using this structural solution. The space efficiency of this building ranges from 55% to 80%, indicating that while the system can be effective, it may also introduce more variability in space efficiency compared to other structural systems. This system is typically used in extremely tall buildings, where lateral stability is a significant concern, but the data suggests that it may not consistently optimize space efficiency.
Figure 7 presents a comparison of space efficiency for prismatic, tapered, and freeform skyscrapers based on three types of structural materials: steel, concrete, and composite. Steel structures are the least represented, with only 4 buildings (1 prismatic, 3 tapered). The prismatic steel building shows a space efficiency of 70%, suggesting that while steel can offer efficient structural solutions for prismatic forms, its use is rare in these configurations. The tapered steel buildings exhibit a broader range of efficiency, from 60% to 75%, indicating moderate efficiency for tapered designs. There are no freeform buildings using steel in this dataset, suggesting that steel is not typically chosen for more complex geometries like freeform skyscrapers, possibly due to material limitations in accommodating non-linear forms.
Concrete is a more commonly used material, represented in 35 buildings (20 prismatic, 4 tapered, 11 freeform). Prismatic concrete buildings show a consistent space efficiency range from 60% to 75%, with most buildings clustered around 70%, indicating reliable performance in terms of space optimization for these simpler forms. In tapered buildings, concrete shows a slightly wider spread, with efficiency ranging from 55% to 80%, indicating that concrete allows for some flexibility in design but may not be as efficient as composite materials in tapered structures. Freeform concrete buildings achieve higher efficiency, with values ranging from 65% to 80%, demonstrating that concrete is a strong choice for more complex forms, likely due to its adaptability in non-linear and irregular shapes.
Composite materials, which combine steel and concrete, dominate the dataset, with 71 buildings (14 prismatic, 33 tapered, 24 freeform). Prismatic composite buildings exhibit space efficiency ranging from 60% to 75%, similar to concrete buildings but with a slightly tighter clustering around 70%. This consistency suggests that composite materials perform well in traditional, regular forms like prismatic skyscrapers. However, tapered buildings using composite materials show a wider and higher range of space efficiency, from 60% to 85%, with many buildings achieving efficiencies above 80%. This demonstrates the superior adaptability of composite materials in tapered designs, where varying floor sizes and complex geometries benefit from the combined strength and flexibility of steel and concrete. Freeform buildings using composite materials also exhibit high space efficiency, ranging from 65% to 85%, similar to tapered designs. This reflects the high structural efficiency of composite materials in complex, irregular skyscrapers, where spatial optimization is critical.
Steel is used sparingly, with space efficiency for prismatic and tapered buildings ranging from 60% to 75%, and no representation in freeform structures. While steel can offer moderate efficiency, its limited use suggests that it may not be the preferred material for maximizing space in high-rise buildings, particularly in more complex forms.
Concrete performs well, especially in freeform buildings, with space efficiency ranging from 65% to 80%. Prismatic concrete buildings are consistent, with efficiency clustering around 70%, while tapered concrete buildings show more variability, ranging from 55% to 80%. Concrete is a versatile material but may be slightly less efficient than composite in more dynamic forms like tapered and freeform skyscrapers.
Composite materials are the most efficient and widely used across all forms. Tapered buildings using composite materials exhibit the highest efficiency, with values ranging from 60% to 85%, and many achieving over 80% efficiency. Similarly, freeform buildings using composite materials also demonstrate high space efficiency, ranging from 65% to 85%, showing the material’s ability to accommodate both complex geometries and high spatial optimization. Prismatic buildings using composite materials are consistent with other materials, showing efficiency between 60% and 75%.
Composite materials stand out as the best-performing structural solution for achieving high space efficiency, especially in tapered and freeform skyscrapers, where efficiency ranges from 60% to 85%. The flexibility of composite materials allows for better optimization of space in non-linear and irregular geometries. Concrete also performs well, particularly in freeform structures, with space efficiency values up to 80%, while steel, though less commonly used, offers moderate efficiency in prismatic and tapered buildings, generally ranging between 60% and 75%. Overall, composite materials provide the highest level of space efficiency across all forms, particularly for more complex architectural designs.