The Value of Topological Concepts to the Basic Understanding of Form and Space Iakovos Potamianos, Ph.D., A.I.A. Assistant Professor, Department of Architecture, Democritus University of Thrace, Xanthi, Greece

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The Value of Topological Concepts to the Basic
Understanding of Form and SpaceIakovos
Potamianos, Ph.D., A.I.A. Assistant Professor,
Department of Architecture,Democritus
University of Thrace, Xanthi, Greece
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Möbius strip, 1865, A. F. Möbius.
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Möbius house, Amsterdam, 1993, UN studio, Top
floor and roof garden floor
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Möbius house, Amsterdam, 1993, exterior, UN studio
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Möbius house, Amsterdam, 1993, UN studio, Entrance
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Recognition of Relationships, in Rudolf Arnheim,
Visual Thinking, a is to b as c is to d3.
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Topology, Jordan Curve Theorem, 2 dimensions
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Jordan Curve Theorem, 3 dimesnions
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Mutual influence of figure and ground.
Exploration of density, depth and orientation of
subspace. Analysis of figure and ground
fluctuation. The development of the nature of the
void as a result of the placement of the solid
bodies within it. The void as solid. A.
Papanakli, 2006.
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Outlining meaning through chiaroscuro analysis.
Exploration of relationships such as direction,
density and grouping of light areas and the
manner in which they are combined to produce
meaning. E. Vogdou, 2006.
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Sense of twirling through stroboscopic change of
direction. The concept of neighborhood is
established among light areas which then generate
continuity because of their directional change. A
sense of motion is derived through the
neighboring manner. Y. Stavroulaki, 2006
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Analysis of a naturalistic painting. Focus on
expression through the establishment of
neighborhoods along with a creative use of the
corrosive element theory of Kazimir Malevich.
K. Theodorou, 2007.
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Rethinking of a simple object from the point of
view of the sensation or feeling it generates.
Relationships of pictorial elements arising from
the object it self as well as the sentimental
condition of its user. Sinking into ones
thoughts. A. Papanakli, 2006
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Asked to build the most crucial sensation related
to an object even if it looks nothing like the
object. My Pillow. Y. Stavroulaki, 2007