Topological Surface-Space

Image descriptions:

Topological Surface Space

Topological surface-space parameterized against its referential dynamic Cartesian space.

Static Cartesian frame + topological möbius strip surface indexing spatial warping = integrated in a synthetic composition.

Palazzo Chiericati

Andrea Pallasio's Palazzo Chiericati, diagram.

Wittkower’s eleven Palladio schemes (Wittkower R. 1949) develop only a differential change of degree and not such conceptual typological change.

Posthistoric Pulsation

Based on an projective architectural analysis of Carlo Rainaldi’s Santa Maria In Campitelli, this essay reveals how topological displacements may critique a departing type in a synthetic solution between opposites, promoting tension through spatial pulsation, polyrhythm and other spatial bodily affections. The aim is to develop a draft for a manifesto to critically suspend the continuous state of pendulum revolution in architecture history, between the establishment of a canon and its reactionary dialect, identified by Wölfflin’s Renaissance and Baroque categories, by proposing a non-dialectical a-historical synthesis that is able to attack a long lasting metaphysical project.

On the other side, this essay questions the unrecognized striation of digital interfaces infer in the constitution of form in topological displacements, topological surfaces and how they transform the referential stability of absolutes.  Thus relate the topological surface-space of the object to the Cartesian frame-space of the medium of representation, proposing the recognition and institution of a contemporary state of suspension that demands an hybrid transitory space between a modern Cartesian space and a potential topological space, that this essay proposes to define as cartopological space. 

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