From Chain-link Fence to Space-Spanning Mathematical Structures

Year: 2011 Authors: Tom Verhoeff; Koos Verhoeff

Core claim

Zigzags and helices can be arranged into space-spanning interlocking sculptures with suitable cross sections and miter joints, and their turtle-helix projection angles satisfy a symmetry invariance.

Topics

space-spanning structures, interlocking helices, turtle graphics, miter joints, mathematical sculpture

Domains

geometry, topology, turtle geometry, symmetry, constant torsion, sculpture, woodworking, architectural form

Methods

Logo programs, 3D turtle graphics, geometric construction, wood fabrication, Mathematica illustration

Media

wood, square beams, rhombic beams, miter joints, Mathematica

Source status

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