ipiet mondrian eu

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 extend beyond the thickness of the individual lines to become planes (Diagram C). The space undergoes gradual transformation from the condition of lines (infinite 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 (Diagram D) 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).

It is necessary to view Broadway Boogie Woogie in a state of dynamic equilibrium between one stage and another of the process highlighted in these diagrams; we need to see the geometry in a state of becoming; to see the planes an instant before, as they develop out of symmetries, and to see the symmetries while they are generated by the small squares, which are generated in turn out of the interaction of opposing lines, each of which, taken in itself, expresses an absolute and infinite space that eliminates any possible relationship.