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While most of my mathematical models and sculptures are composed of polygons and polyhedra, they can also be constructed using lines, represented by cylinders. Rather than recreating every structure I’ve previously designed with lines—a task that would be both tedious for me and overwhelming for you—I offer instead a small sampling as an introduction.
For those interested in exploring further, the stick knots on Rob Scharein's Home Page and Alan Holden’s book Orderly Tangles provide additional opportunities to see examples of linear structures.
structure: Girih Icosidodecahedron polytoroid
components: lines
structure: Unidentified polytoroid
components: lines
structure: Girih Icosidodecahedron polytoroid
components: lines
structure: Unidentified polytoroid
components: lines
structure: Escher dodecahedral polyknot
components: lines
structure: Rhombicosi-dodecahedral polytoroid
components: lines
structure: Holden polylink
components: lines
structure: Escher dodecahedral polyknot
components: lines
structure: Kepler handlebody
components: lines
structure: Kepler handlebody
components: lines
structure: Kepler handlebody
components: lines
structure: Kepler handlebody
components: lines
structure: Kepler dodecahedral polytoroid
components: lines
structure: Kepler handlebody
components: lines
structure: Kepler handlebody
components: lines
structure: octagonal toroid
components: lines
structure: star toroid
components: lines
structure: star dodecahedral polytoroid
components: lines
structure: star cubic polytoroid
components: lines
structure: icosahedral polytoroid
components: lines
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