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• W2020138344 abstract "Geometric and algebraic aspects of multi-ratios M2N are investigated in detail. Connections with Menelaus' theorem, Clifford configurations and Maxwell's reciprocal quadrangles are utilized to associate the multi-ratios M4, M8 and M8 with tetrahedra, octahedra and cubo-octahedra respectively. Integrable maps defined on face-centred (fcc) lattices and irregular lattices composed of the face centres of simple cubic lattices are constructed and related to the discrete KP and BKP equations and the integrable discrete Darboux system governing conjugate lattices. An interpretation in terms of integrable irregular lattices of slopes on the plane is also given." @default.
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• W2020138344 date "2003-01-08" @default.
• W2020138344 modified "2023-09-24" @default.
• W2020138344 title "Tetrahedra, octahedra and cubo-octahedra: integrable geometry of multi-ratios" @default.
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• W2020138344 doi "https://doi.org/10.1088/0305-4470/36/3/313" @default.
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