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Originally Posted by pilsenarch
again, the relationship of the smallest floor to the largest just isn't that big a difference...
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The perimeter of a 125'x125' square space is 500', the area is 15,625 SF. That means 31.5 SF for every 1' of perimeter.
The perimeter of a 150'x150' square space is 600', the area is 22,500 SF. That means 37.5 SF for every 1' of perimeter.
That's roughly 16% less surface area PSF of interior space. If we assume a linear relationship between efficiency and the ratio of interior space to perimeter, then we are talking about a very significant variation in energy efficiency simply based on floorplate size. The relationship is actually probably more favorable than simply linear because we are also talking about solar shading here which can only penetrate so far into the floor which means that, after a certain size, adding additional SF means absolutely no additional solar gains because those additional SF are shaded entirely by the floor above it.
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if this building wanted to be really green, then the darkest tint would cover the entire facade...
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It's not as if all facade treatments have the same cost. Weren't you just advocating for Chicago architecture being about efficiency and economy? Unless all shades of glass cost the same amount, there is a reason for not just cladding everything one color.