Download - CSE325 Computer Science and Sculpture
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CSE325 Computer Science
and Sculpture
Prof. George Hart
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Orderly Tangles
One interesting transformation of a Platonic solid is to form an “orderly tangle” by rotating and translating the faces in a symmetric manner. This can provide the foundation for visually interesting sculptural forms.
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Derivation from Regular Polyhedron
Rotate faces Slide in or out
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Regular Polylinks
• Symmetric linkages of regular polygons
• Alan Holden built models– Cardboard or dowels
• Holden wrote:– Shapes, Spaces and
Symmetry,1971– “Regular Polylinks”, 1980– Orderly Tangles, 1983
• Table of lengths4 Triangles
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Generates Template to Print and Cut
4 Triangles
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Robert J. Lang
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Rinus Roelofs
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Carlo Sequin
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Regular Polylinks
4 Triangles 6 Squares
Left and right hand forms
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Paper or Wood Models
6 Squares
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Solid Freeform Fabrication
6 Squares
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Theo Geerinck
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Rinus Roelofs
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Rinus Roelofs
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Regular Polylinks
6 Pentagons - size scaled
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Square Cross Section
6 Pentagons
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Rinus Roelofs
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Paper or Wood Models
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Charles Perry, sculptor
1976, 12 tons, 20’ edge 3 nested copies
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Regular Polylinks
12 Pentagons
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Rinus Roelofs
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Wooden Puzzles
• Taiwan– Teacher Lin– Sculptor Wu
• Square cross sections• Simple lap joint• No glue• Trial and error to
determine length
12 Pentagons
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Second Puzzle from Lin and Wu
10 Triangles
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Many Analogous Puzzles Possible• Each regular polylink gives a puzzle• Also can combine several together:
– Different ones interweaved– Same one nested
• Need critical dimensions to cut lengths• No closed-form formulas for lengths• Wrote program to:
– Determine dimensions– Output templates to print, cut, assemble– Output STL files for solid freeform fabrication
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Carlo Sequin
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Carlo Sequin
Five rectangles — one axis of 5-fold symmetry
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Software Demo
Soon to be available on class website
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Combinations
4 Triangles + 6 Squares
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Combinations
12 Pentagons + 10 Triangles
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Models Difficult for Dowels
30 Squares around icosahedral 2-fold axes
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Other Polygon Forms
8 Triangles
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Spiraling Polygons
10 layers, each 6 Squares
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Charles Perry
Eclipse, 1973, 35’ tall
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Things too Complex to Make
10 Spirals connect opposite faces of icosahedron
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Curved ComponentsCentral Inversion
4 Triangles 20 Triangles