Duality on planar fractal and hierarchical lattices
- 21 August 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (12), L407-L411
- https://doi.org/10.1088/0305-4470/16/12/003
Abstract
Duality constructions are presented for the classes of planar fractal and hierarchical lattices. Interesting results include the interpretation of dual Sierpinski gasket and carpets as fractal domain models, that the constructions take a lattice, L, with intrinsic dimension D and connectivity Q to a dual, L, with D=D/Q and Q=1/Q, and a novel, but trivial, dual for the one-dimensional lattice.Keywords
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