Symmetrical Hamiltonian Manifolds on Regular 3D and 4D Polytopes

Year: 2005 Authors: Carlo H. Séquin

Core claim

Symmetrical Hamiltonian cycles and 2-manifolds can be found for all regular 4D polytopes, enabling complete edge coverage and new geometrical constructions.

Topics

Hamiltonian cycles, regular polytopes, symmetry, geometrical sculpture, polyhedral dissection

Domains

graph theory, topology, polytope geometry, combinatorics, sculpture, constructivist art, puzzle design, rapid prototyping

Methods

computer graphics, graph search, surface partitioning, physical maquettes, rapid prototyping

Media

3D printed maquettes, computer graphics imagery, polyhedral models, facet strips

Source status

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