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Topology can be roughly defined as the study of shape. It is concerned with the properties of space that are preserved under continuous deformations including stretching and bending, but not tearing or gluing. This includes such properties as connectedness and continuity.

For this proposal, I tried to materialize a continuous path, a walk-through, conceived as topological entity. A very simple polygonal model was transformed through the Catmull & Clark algorithm until it fitted the desired, smooth looking shape. There is a pattern design for a paper model as well.

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Topological Walkthrough
Topological Walkthrough
Topological Walkthrough
Topological Walkthrough
Topological Walkthrough
Topological Walkthrough
Topological Walkthrough
Topological Walkthrough