Hopeless Love and Other Lattice Walks

Year: 2017 Authors: Tom Verhoeff; Koos Verhoeff

Core claim

Opposite-type walks in FCC and BCC lattice cosets can be adjacent and linked yet never meet, and these structures can be rendered as wooden or steel sculptures.

Topics

lattice walks, 3D chess, hopeless love, mathematical sculpture

Domains

discrete geometry, lattice theory, graph walks, combinatorics, mathematical sculpture, woodworking, steel sculpture, design

Methods

geometric generalization, exhaustive search, path counting, lattice cosets

Media

wenge wood, obeche wood, powder-coated cor-ten steel, rhombic beams

Source status

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