The object is cut at 3 critical moments during its transformation from closed to open. 3 cuts are made along 2 datums that generate two dimensional geometry which describes movement in perpendicular directions. Multiple cuts are necessary to describe the movement of the object over time.
One datum is cut through the top surfaces of the object, the other through the bottom. By cutting each layer, the sections retain information about the objects surfaces as well as the voids between them. To develop the pair, surfaces are generated through the connection of corresponding endpoints, each set of sections remaining discrete. The pair describes movement of the object in one direction or the other and between the top and bottom surfaces of the primitive.
To develop the whole, two dimensional sections are placed concentrically, alternating between the two datum to retain geometry from each axis. The endpoints are connected with arcs to generate a torus that describes the movement of the object across both axes. In combining the formal information from two dimensional sections in both directions, the final object retains multiple layers of information at a relatively high fidelity to the primitive object. These include movement across both datum over time, the change in space between the surfaces during this movement, and the void that is produced as the object moves from closed to open. Radial section cuts of the final object describe the primitive’s movement across multiple datum, between surfaces, and over time. The torus shape introduces the idea of circular motion which is intended to describe the formal opening and closing of the object in an infinite loop and functions to graph time in a three dimensional way.
The final object has multiple centers that describe the changing center of the primitive as its geometry is transformed. The curvature of the top surfaces are contiguous, yet deviate from a perfectly circular path. This can be attributed to the dual axiality that the curved surfaces are derived from. The object has no bi-lateral symmetry and is concentric rather than rectilinear, both of which deviate from its primitive. The model, as well as radial sections, describe the void produced by the objects transformation from closed to open as a completely closed set of lines. Yet the primitive opens in a way that changes the way we think about the inside and outside of the object: from closed solid to surfaces that delineate space. This generates wholly new parameters for the way the final torus can be read in terms of its fidelity to the primitive.
One datum is cut through the top surfaces of the object, the other through the bottom. By cutting each layer, the sections retain information about the objects surfaces as well as the voids between them. To develop the pair, surfaces are generated through the connection of corresponding endpoints, each set of sections remaining discrete. The pair describes movement of the object in one direction or the other and between the top and bottom surfaces of the primitive.
To develop the whole, two dimensional sections are placed concentrically, alternating between the two datum to retain geometry from each axis. The endpoints are connected with arcs to generate a torus that describes the movement of the object across both axes. In combining the formal information from two dimensional sections in both directions, the final object retains multiple layers of information at a relatively high fidelity to the primitive object. These include movement across both datum over time, the change in space between the surfaces during this movement, and the void that is produced as the object moves from closed to open. Radial section cuts of the final object describe the primitive’s movement across multiple datum, between surfaces, and over time. The torus shape introduces the idea of circular motion which is intended to describe the formal opening and closing of the object in an infinite loop and functions to graph time in a three dimensional way.
The final object has multiple centers that describe the changing center of the primitive as its geometry is transformed. The curvature of the top surfaces are contiguous, yet deviate from a perfectly circular path. This can be attributed to the dual axiality that the curved surfaces are derived from. The object has no bi-lateral symmetry and is concentric rather than rectilinear, both of which deviate from its primitive. The model, as well as radial sections, describe the void produced by the objects transformation from closed to open as a completely closed set of lines. Yet the primitive opens in a way that changes the way we think about the inside and outside of the object: from closed solid to surfaces that delineate space. This generates wholly new parameters for the way the final torus can be read in terms of its fidelity to the primitive.