Monday, February 12, 2018

Tensegrity version of the tetrahelix dual


A tetrahelix can be covered by wrapping two triangle strips helically in the direction opposite to the twist of the column. These describe an out-and-back path for a Hamiltonian circuit in the dual polyhedron. For example, a column described by this undip word:
unununndpdpdpupununndpdpdp

These are direct view stereogram 3D views of the corresponding tetrahelix dual structures realized as tensegrities.



Direct-view stereogram of zig-zag pattern tensegrity tetrahelix dual.

Direct-view stereogram of diamond pattern tensegrity tetrahelix dual.

Direct-view stereogram of circuit pattern tensegrity tetrahelix dual.