Geometry of plane sections of the infinite regular skew polyhedron \(\{4, 6 | 4\}\)

DOI10.1007/s10711-008-9298-1zbMath1165.28006arXiv0804.1668OpenAlexW2027575955MaRDI QIDQ1014913

Ivan A. Dynnikov, Roberto De Leo

Publication date: 29 April 2009

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1668

zbMATH Keywords

polyhedrafractalssecond homology classskew polyhedratriply periodic surfaces

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Fractals (28A80) Foliations in differential topology; geometric theory (57R30) Flows on surfaces (37E35)

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Uses Software

• NTC

Cites Work

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• Dynamical systems, topology, and conductivity in normal metals
• Gauss measures for transformations on the space of interval exchange maps
• Interval exchange transformations and measured foliations
• Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron
• Numerical Analysis of the Novikov Problem of a Normal Metal in a Strong Magnetic Field
• The geometry of stability regions in Novikov's problem on the semiclassical motion of an electron
• Regular Skew Polyhedra in Three and Four Dimension, and their Topological Analogues

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