Solid-Segment Sculptures

  • George W. Hart
Part of the Mathematics and Visualization book series (MATHVISUAL)


Several sculptures and designs illustrate an algorithmic technique for creating solid three-dimensional structures from an arrangement of line segments in space. Given a set of line segments, specified as a position in 3-dimensional space for each endpoint, a novel algorithm creates a volume-enclosing solid model of the segments. In this solid model, a prismatoid-like strut represents each segment. The method is very efficient with polygons and produces attractive lucid models in which the sides of the “prismatoids” are oriented in directions relevant to the structure. The algorithm is applicable to a wide range of structures to be realized by 3D printing techniques.


Line Segment Convex Hull Necker Cube Constructive Solid Geometry Schlegel Diagram 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • George W. Hart
    • 1
  1. 1.Department of Computer ScienceStony Brook UniversityStony BrookUSA

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