Monday, October 25, 2010

Theory: Geometrical Topology

Topology is the study of spatial properties that are preserved under continuous deformation of objects. More Specifically, geometrical topology which is concerned with manifolds and how they are embedded into other manifolds. It is by this definition that I derived a thesis for my diagram.

The map of Uxmal is a diagram of a study of geometrical topology based on the interaction between ground and constructed mass and how their relation creates a spatial figure ground. Because the constructed mass of the site interacts so much with the topography, it is almost enveloped by the ground to become a part of the ground itself. This interaction creates what is known as a spacial figure ground, where the eye perceives the space between the constructions as mass and the constructed mass as part of the ground. The spatial figure ground helps to emphasize the skewed axis of 14 degrees due north that the site has. In addition to this, it better emphasizes the axis of the governor's palace which sits at a different angle from the rest of the site.

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