Piotr Furmanek* The culture-forming aspects of revitalization – the

Piotr Furmanek* The culture-forming aspects of revitalization – the

2012
No. 2(32)
DOI: 10.5277/arc120217
Piotr Furmanek*
The culture-forming aspects of revitalization – the case
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When Cicero used the term “cultura animi”1 for the
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life” [1]. It is then culture that generates both cities and
societies. In that context cities should be considered to be
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102
Piotr Furmanek
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Arch. Steven Holl. Source: [3]
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tects – mentions the associations with the Menger Sponge,
one of the most famous fractal objects [4].
Indeed, the free composition of the functional and
spatial design of the building resembles the structure of
a sponge due to the layout of the rooms and the wall perforation system visible both in the plans and sections of
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cladding which is also perforated both on external walls
and the reveals perpendicular to them, which makes the
openings look like they penetrate into the building. The
elements of the perforated cladding were also used in the
interior design, covering lighting and ventilation installations. The self-similarity between window openings of
various sizes and the mechanical ventilation as well as
the three-dimensional design of details evoke associations
with the Menger Sponge – one of the most important clas-
Fig. 2. Interior of the added multi-functional room
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sic fractal objects. However, there is more to it than free
associations as the Menger Sponge, whose walls are the
Sierpinski Carpets, is a set of a highly regular structure
based on a precise construction algorithm and the dimensions as well as the layout of the openings are connected
by mathematical relations.
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is determined by the following procedure: it begins with
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the central subsquare is then applied recursively to the remaining 8 subsquares (called the generator.) N-steps in the
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Carpet is a fractal object whose construction method is de-
termined by the recurrence relation, its fractal dimension
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mathematician in his work titled Allgemeine Räume und
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Carpet. That object was called the Menger Sponge and
the construction of that set results from the application of
the following procedure: the initial set (called the initiaWRULVDFXEHZKRVHHDFKIDFHDLVGLYLGHGLQWRFRQgruent cubes which are adjacent to one another (whose
walls are a/3) whose sum is the set of the initiator. In the
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