The paper starts with a review of three hierarchical approaches for making tubular 3D sculptures ... more The paper starts with a review of three hierarchical approaches for making tubular 3D sculptures that capture the characteristics of the 2D Gosper curve: Gosper-Balls , Gosper-Pole , and Gosper-Lattice , and it discusses some of their shortcomings. It then analyzes three non-hierarchical approaches: Gosper-Stars with some internal branching, Gosper-Onions that use a small number of layered shells, and Gosper-Shells that map a Gosper-like path onto the surface of a regular polyhedron. The focus is on creating a modular polyline that connects nearest neighbor vertices on a regular lattice, while favoring the characteristic turning angles of 60 and 120 degrees of the 2D Gosper curve.
The paper starts with a review of three hierarchical approaches for making tubular 3D sculptures ... more The paper starts with a review of three hierarchical approaches for making tubular 3D sculptures that capture the characteristics of the 2D Gosper curve: Gosper-Balls , Gosper-Pole , and Gosper-Lattice , and it discusses some of their shortcomings. It then analyzes three non-hierarchical approaches: Gosper-Stars with some internal branching, Gosper-Onions that use a small number of layered shells, and Gosper-Shells that map a Gosper-like path onto the surface of a regular polyhedron. The focus is on creating a modular polyline that connects nearest neighbor vertices on a regular lattice, while favoring the characteristic turning angles of 60 and 120 degrees of the 2D Gosper curve.
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