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New York City

New York City - Diagram A

Broadway Boogie Woogie - Diagram A

Diagram B

Diagram C

 

The intersecting of individual lines that continue uninterruptedly (New York City - Diagram A) generates a multitude of small squares (Broadway Boogie Woogie - Diagram A) that cluster to produce symmetrical configurations (Diagram B). The symmetries then extend beyond the thickness of the individual lines to become planes (Diagram C).
The space undergoes gradual transformation from the condition of lines (infinite and absolute space) to the condition of planes (the same space but finite and relative).
The lines can be regarded from now on as an external situation and the planes as the genesis and development of an internal condition of the same space that proceeds uninterruptedly from the outside to the inside.

 

The lines become planes; an infinite space is transformed into a finite space. While we observe the finite fields of the planes, the lines continue uninterruptedly and the eye therefore finds itself in a state of unstable equilibrium between an extended space (symbolizing the incommensurable reality of the physical world) and the same space undergoing inward concentration (the relational space of thought evoked with the planes).

 

 

 

 
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